Regression To The Mean Quotes

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Mimicking the herd invites regression to the mean (merely average performance).
Charles T. Munger (Charlie Munger: The Complete Investor (Columbia Business School Publishing))
I dreamed I saw my maternal grandmother sitting by the bank of a swimming pool, that was also a river. In real life, she had been a victim of Alzheimer’s disease, and had regressed, before her death, to a semi-conscious state. In the dream, as well, she had lost her capacity for self-control. Her genital region was exposed, dimly; it had the appearance of a thick mat of hair. She was stroking herself, absent-mindedly. She walked over to me, with a handful of pubic hair, compacted into something resembling a large artist’s paint-brush. She pushed this at my face. I raised my arm, several times, to deflect her hand; finally, unwilling to hurt her, or interfere with her any farther, I let her have her way. She stroked my face with the brush, gently, and said, like a child, “isn’t it soft?” I looked at her ruined face and said, “yes, Grandma, it’s soft.
Jordan B. Peterson (Maps of Meaning: The Architecture of Belief)
Grief turns out to be a place none of us know until we reach it. We anticipate (we know) that someone close to us could die, but we do not look beyond the few days or weeks that immediately follow such an imagined death. We misconstrue the nature of even those few days or weeks. We might expect if the death is sudden to feel shock. We do not expect the shock to be obliterative, dislocating to both body and mind. We might expect that we will be prostrate, inconsolable, crazy with loss. We do not expect to be literally crazy, cool customers who believe that their husband is about to return and need his shoes. In the version of grief we imagine, the model will be "healing." A certain forward movement will prevail. The worst days will be the earliest days. We imagine that the moment to most severely test us will be the funeral, after which this hypothetical healing will take place. When we anticipate the funeral we wonder about failing to "get through it," rise to the occasion, exhibit the "strength" that invariably gets mentioned as the correct response to death. We anticipate needing to steel ourselves the for the moment: will I be able to greet people, will I be able to leave the scene, will I be able even to get dressed that day? We have no way of knowing that this will not be the issue. We have no way of knowing that the funeral itself will be anodyne, a kind of narcotic regression in which we are wrapped in the care of others and the gravity and meaning of the occasion. Nor can we know ahead of the fact (and here lies the heart of the difference between grief was we imagine it and grief as it is) the unending absence that follows, the void, the very opposite of meaning, the relentless succession of moments during which we will confront the experience of meaninglessness itself.
Joan Didion (The Year of Magical Thinking)
I understand the mechanism of my own thinking. I know precisely how I know, and my understanding is recursive. I understand the infinite regress of this self-knowing, not by proceeding step by step endlessly, but by apprehending the limit. The nature of recursive cognition is clear to me. A new meaning of the term "self-aware." Fiat logos. I know my mind in terms of a language more expressive than any I'd previously imagined. Like God creating order from chaos with an utterance, I make myself anew with this language. It is meta-self-descriptive and self-editing; not only can it describe thought, it can describe and modify its own operations as well, at all levels. What Gödel would have given to see this language, where modifying a statement causes the entire grammar to be adjusted. With this language, I can see how my mind is operating. I don't pretend to see my own neurons firing; such claims belong to John Lilly and his LSD experiments of the sixties. What I can do is perceive the gestalts; I see the mental structures forming, interacting. I see myself thinking, and I see the equations that describe my thinking, and I see myself comprehending the equations, and I see how the equations describe their being comprehended. I know how they make up my thoughts. These thoughts.
Ted Chiang (Stories of Your Life and Others)
The observed regression to the mean cannot be more interesting or more explainable than the imperfect correlation.
Daniel Kahneman (Thinking, Fast and Slow)
regression to the mean has an explanation but does not have a cause.
Daniel Kahneman (Thinking, Fast and Slow)
In what areas are you learning and growing? If the answer is none that means you're stagnating or regressing. Learn more, earn more, know more, grow more!
Rob Liano
The fact that you can regress at any time means that death is meaningless.
Singshong
The experiments showed further that the mean filial regression towards mediocrity was directly proportional to the parental deviation from it.
Daniel Kahneman (Thinking, Fast and Slow)
I'm a Skeptic. And I'm a Journalist. I look up things in the library—a lot! I believe in the motto of Missouri, the 'Show-me, don't just blow me' state. I need evidence. I need demonstrations. I need show-and-tell. Even though I pray to God every once in a while, especially when I'm in trouble—which for most guys my age is every 28 days—I still think deeply about the issues and don't automatically jump to a religious or mystical answer to questions. I am, by nature, doubtful about the existence of God, and even whether He is a He or a Her. I don't believe in New Age stuff. For me, 'Past Life Regression' means not calling a girl after she gives me her phone number. Sure I own a lucky rabbit's foot, a lucky penny, a lucky 4-leaf clover and a lucky horeshoe [sic], and a pair of lucky underwear and several pairs of lucky socks that I only wash every seven days. But under it all I am a died–in-the-wool skeptic.
Earl Lee (Raptured: The Final Daze of the Late, Great Planet Earth (Kiss My Left Behind series))
correlation and regression are not two concepts—they are different perspectives on the same concept. The general rule is straightforward but has surprising consequences: whenever the correlation between two scores is imperfect, there will be regression to the mean.
Daniel Kahneman (Thinking, Fast and Slow)
One of the problems, and it's one which is obviously going to get worse, is that all the people at the party are either the children or the grandchildren or the great-grandchildren of the people who wouldn't leave in the first place, and because of all the business about selective breeding and regressive genes and so on, it means that all the people now at the party are either absolutely fanatical partygoers, or gibbering idiots, or, more and more frequently, both.
Douglas Adams (Life, the Universe and Everything (The Hitchhiker's Guide to the Galaxy, #3))
Supposing that what is at any rate believed to be the 'truth' really is true, and the meaning of all culture is the reduction of the beast of prey 'man' to a tame and civilized animal, a domestic animal, then one would undoubtedly have to regard all those instincts of reaction and ressentiment through whose aid the noble races and their ideals were finally confounded and overthrown as the actual instruments of culture; which is not to say that the bearers of these instincts themselves represent culture. Rather is the reverse not merely probable—no! today it is palpable! These bearers of the oppressive instincts that thirst for reprisal, the descendants of every kind of European and non-European slavery, and especially of the entire pre-Aryan populace—they represent the regression of mankind! These 'instruments of culture' are a disgrace to man and rather an accusation and counterargument against 'culture' in general!
Friedrich Nietzsche (On the Genealogy of Morals / Ecce Homo)
If you observe a content which then disappears for a short time into the unconscious, it is not altered when it comes up again, but if you forget something for a long time, it does not return in the same form; it autonomously evolves or regresses in the other sphere, and therefore one can speak of unconscious as being a sphere, or entity in itself.
Marie-Louise von Franz (The Psychological Meaning of Redemption Motifs in Fairytales (Studies in Jungian Psychology by Jungian Analysts, 2))
Regression to the mean was discovered and named late in the nineteenth century by Sir Francis Galton, a half cousin of Charles Darwin and a renowned polymath
Daniel Kahneman (Thinking, Fast and Slow)
whenever the correlation between two scores is imperfect, there will be regression to the mean.
Daniel Kahneman (Thinking, Fast and Slow)
She says experience has taught her that criticism is more effective than praise. What she doesn’t understand is that it’s all due to regression to the mean.
Daniel Kahneman (Thinking, Fast and Slow)
Mean-Value Theorem for Integrals, 123 but for Hal’s synoptic purposes here it’s enough to say that megatonnage is distributed among Combatants according to an integrally regressed ratio of (a)
David Foster Wallace (Infinite Jest)
Limiting the power of government, in order to liberate the individual, was the great American revolutionary insight. Too much cooperation, avoiding conflict from ordinary people, these things aren’t acceptable in America although they may suit China, Indonesia, Britain, or Germany just fine. In America the absence of conflict is a sign of regression toward a global mean, hardly progress by our lights if you’ve seen much of the governance of the rest of the world where common people are crushed like annoying insects if they argue.
John Taylor Gatto (The Underground History of American Education: An Intimate Investigation Into the Prison of Modern Schooling)
The spirit of evil is fear, negation, the adversary who opposes life in its struggle for eternal duration and thwarts every great deed, who infuses into the body the poison of weakness and age through the treacherous bite of the serpent; he is the spirit of regression, who threatens us with bondage to the mother and with dissolution and extinction in the unconscious. (Cf. fig. 35 and pl. LXII.) For the hero, fear is a challenge and a task, because only boldness can deliver from fear. And if the risk is not taken, the meaning of life is somehow violated, and the whole future is condemned to hopeless staleness, to a drab grey lit only by will-o’-the-wisps.
C.G. Jung (Collected Works of C. G. Jung, Volume 5: Symbols of Transformation (The Collected Works of C. G. Jung))
Some people would much prefer the infinite regress of mysteries, apparently, but in this day and age the cost is prohibitive: you have to get yourself deceived. You can either deceive yourself or let others do the dirty work, but there is no intellectually defensible way of rebuilding the mighty barriers to comprehension that Darwin smashed. (p.25)
Daniel C. Dennett (Darwin's Dangerous Idea: Evolution and the Meanings of Life)
Intense fatigue or illness may also weaken the control of the cortex. Hence we find tired or sick persons responding to threats with a greater degree of undifferentiated anxiety. In psychoanalytic terms, we would speak of this as regression.
Rollo May (The Meaning of Anxiety)
People are asked for a prediction but they substitute an evaluation of the evidence, without noticing that the question they answer is not the one they were asked. This process is guaranteed to generate predictions that are systematically biased; they completely ignore regression to the mean.
Daniel Kahneman (Thinking, Fast and Slow)
In his 1996 book, Against the Gods: The Remarkable Story of Risk, Peter L. Bernstein wrote, “Regression to the mean motivates almost every variety of risk-taking and forecasting. It is at the root of homilies like ‘What goes up must come down,’ ‘Pride goeth before a fall,’ and ‘From shirtsleeves to shirtsleeves in three generations.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
Despite our accumulation of material wealth, humanity is now engulfed by a widespread economic collapse. Many areas of production exhibit regressive trends so that visible epicentres of decay are growing on all sides and threatening humanity itself. Despite all the research no means can be found to prevent humanity from decaying alive. This is no more than the just and legitimate consequence of human activity. Knowing nothing of Nature's omnipotent laws, and with mindless greed, humanity claws into the life-giving organism of Mother Earth. She is now, with elemental power, beginning to paralyse the wanton hand that dared disturb the forces that serve all Creation.
Viktor Schauberger
The spirit of evil is fear, negation, the adversary who opposes life in its struggle for eternal duration and thwarts every great deed, who infuses into the body the poison of weakness and age through the treacherous bite of the serpent; he is the spirit of regression, who threatens us with bondage to the mother and with dissolution and extinction in the unconscious. For the hero, fear is a challenge and a task, because only boldness can deliver from fear. And if the risk is not taken, the meaning of life is somehow violated.
C.G. Jung (Symbols of Transformation (Collected Works 5))
Accepting the nonexistence of being, when the absence of existence means the negation of being.
Marieta Maglas- Eschatological Regression
I need to open this door of self in order to throw out everything that is useless and to save the meaning of the things I have to keep.
Marieta Maglas- Eschatological Regression
Western culture is regressively falling back into a dualism that denigrates the material realm, just as paganism did.
Nancy R. Pearcey (Saving Leonardo: A Call to Resist the Secular Assault on Mind, Morals, and Meaning)
Before, life had been a tradition, a tendency to forgiveness, a regression to the mean. The city she loved had been one of plane trees that had grown for three centuries, of bridges improved as horse gave way to steam, of great coordinated endeavors in which every convergent component could be relied upon; of symphonies. But now any light could be snuffed without warning.
Chris Cleave (Everyone Brave Is Forgiven)
The answer lies in a phenomenon called regression toward the mean. That is, in any series of random events an extraordinary event is most likely to be followed, due purely to chance, by a more ordinary one.
Leonard Mlodinow (The Drunkard's Walk: How Randomness Rules Our Lives)
Be wary, though, of the way news media use the word “significant,” because to statisticians it doesn’t mean “noteworthy.” In statistics, the word “significant” means that the results passed mathematical tests such as t-tests, chi-square tests, regression, and principal components analysis (there are hundreds). Statistical significance tests quantify how easily pure chance can explain the results. With a very large number of observations, even small differences that are trivial in magnitude can be beyond what our models of change and randomness can explain. These tests don’t know what’s noteworthy and what’s not—that’s a human judgment.
Daniel J. Levitin (A Field Guide to Lies: Critical Thinking in the Information Age)
Indeed, the mean height of the sons of exceptionally tall fathers tended to be slightly lower than the father's height-and closer to the population's average-as if an invisible force were always dragging extreme features toward the center. This discovery-called regression to the mean-would have a powerful effect on the science measurement and the concept of variance. It would be Galton's most important contribution to statistics.
Siddhartha Mukherjee (The Gene: An Intimate History)
His observation was astute and correct: occasions on which he praised a performance were likely to be followed by a disappointing performance, and punishments were typically followed by an improvement. But the inference he had drawn about the efficacy of reward and punishment was completely off the mark. What he had observed is known as regression to the mean, which in that case was due to random fluctuations in the quality of performance.
Daniel Kahneman (Thinking, Fast and Slow)
often feel like I’m regressing. He doesn’t turn the radio down like I ask him to, so I decide that means he doesn’t care about me and I spend the rest of the day strangled and stupefied by the emotions from just this one slight. I’ll
Kiera Van Gelder (The Buddha and the Borderline: My Recovery from Borderline Personality Disorder through Dialectical Behavior Therapy, Buddhism, and Online Dating)
Is not winning the war more important than truth? This maxim, I knew, was also subscribed to by some on the left, the regressive left. For them, winning against capitalism was far more important than it was to their allies. I watched as our ideology gained acceptance and we were granted airtime as Muslim political commentators. I watched as we were ignorantly pandered to by well-meaning liberals and ideologically driven leftists. How we Islamists laughed at their naïveté.
Maajid Nawaz (Radical: My Journey out of Islamist Extremism)
Talk about corporate greed and everything is really crucially beside the point, in my view, and really should be recognized as a very big regression from what working people, and a lot of others, understood very well a century ago. Talk about corporate greed is nonsense. Corporations are greedy by their nature. They’re nothing else – they are instruments for interfering with markets to maximize profit, and wealth and market control. You can’t make them more or less greedy; I mean maybe you can sort of force them, but it’s like taking a totalitarian state and saying “Be less brutal!” Well yeah, maybe you can get a totalitarian state to be less brutal, but that’s not the point – the point is not to get a tyranny to be less brutal, but to get rid of it. Now 150 years ago, that was understood. If you read the labour press – there was a very lively labour press, right around here [Massachusetts] ; Lowell and Lawrence and places like that, around the mid nineteenth century, run by artisans and what they called factory girls; young women from the farms who were working there – they weren’t asking the autocracy to be less brutal, they were saying get rid of it. And in fact that makes perfect sense; these are human institutions, there’s nothing graven in stone about them. They [corporations] were created early in this century with their present powers, they come from the same intellectual roots as the other modern forms of totalitarianism – namely Stalinism and Fascism – and they have no more legitimacy than they do. I mean yeah, let’s try and make the autocracy less brutal if that’s the short term possibility – but we should have the sophistication of, say, factory girls in Lowell 150 years ago and recognize that this is just degrading and intolerable and that, as they put it “those who work in the mills should own them ” And on to everything else, and that’s democracy – if you don’t have that, you don’t have democracy.
Noam Chomsky (Free Market Fantasies: Capitalism in the Real World)
There's folly in her stride that's the rumor justified by lies I've seen her up close beneath the sheets and sometime during the summer she was mine for a few sweet months in the fall and parts of December ((( To get to the heart of this unsolvable equation, one must first become familiar with the physical, emotional, and immaterial makeup as to what constitutes both war and peace. ))) I found her looking through a window the same window I'd been looking through She smiled and her eyes never faltered this folly was a crime ((( The very essence of war is destructive, though throughout the years utilized as a means of creating peace, such an equation might seem paradoxical to the untrained eye. Some might say using evil to defeat evil is counterproductive, and gives more meaning to the word “futile”. Others, like Edmund Burke, would argue that “the only thing necessary for the triumph of evil is for good men and women to do nothing.” ))) She had an identity I could identify with something my fingertips could caress in the night ((( There is such a limitless landscape within the mind, no two minds are alike. And this is why as a race we will forever be at war with each other. What constitutes peace is in the mind of the beholder. ))) Have you heard the argument? This displacement of men and women and women and men the minds we all have the beliefs we all share Slipping inside of us thoughts and religions and bodies all bare ((( “Without darkness, there can be no light,” he once said. To demonstrate this theory, during one of his seminars he held a piece of white chalk and drew a line down the center of a blackboard. Explaining that without the blackness of the board, the white line would be invisible. ))) When she left she kissed with eyes open I knew this because I'd done the same Sometimes we saw eye to eye like that Very briefly, she considered an apotheosis a synthesis a rendering of her folly into solidarity ((( To believe that a world-wide lay down of arms is possible, however, is the delusion of the pacifist; the dream of the optimist; and the joke of the realist. Diplomacy only goes so far, and in spite of our efforts to fight with words- there are times when drawing swords of a very different nature are surely called for. ))) Experiencing the subsequent sunrise inhaling and drinking breaking mirrors and regurgitating just to start again all in all I was just another gash in the bark ((( Plato once said: “Only the dead have seen the end of war.” Perhaps the death of us all is called for in this time of emotional desperation. War is a product of the mind; only with the death of such will come the end of the bloodshed. Though this may be a fairly realistic view of such an issue, perhaps there is an optimistic outlook on the horizon. Not every sword is double edged, but every coin is double sided. ))) Leaving town and throwing shit out the window drinking boroughs and borrowing spare change I glimpsed the rear view mirror stole a glimpse really I've believed in looking back for a while it helps to have one last view a reminder in case one ever decides to rebel in the event the self regresses and makes the declaration of devastation once more ((( Thus, if we wish to eliminate the threat of war today- complete human annihilation may be called for. )))
Dave Matthes (Wanderlust and the Whiskey Bottle Parallel: Poems and Stories)
About these developments George Orwell, in Nineteen Eighty-Four , was quite wrong. He described a new kind of state and police tyranny, under which the freedom of speech has become a deadly danger, science and its applications have regressed, horses are again plowing untilled fields, food and even sex have become scarce and forbidden commodities: a new kind of totalitarian puritanism, in short. But the very opposite has been happening. The fields are plowed not by horses but by monstrous machines, and made artificially fertile through sometimes poisonous chemicals; supermarkets are awash with luxuries, oranges, chocolates; travel is hardly restricted while mass tourism desecrates and destroys more and more of the world; free speech is not at all endangered but means less and less.
John Lukacs (Democracy and Populism: Fear and Hatred)
Throughout this story, we will see two competing plotlines: liberalism, meaning progress, growth, disruption, revolution in the sense of radical advance, and illiberalism, standing for regression, restriction, nostalgia, revolution in the sense of returning to the past.
Fareed Zakaria (Age of Revolutions: Progress and Backlash from 1600 to the Present)
Grief turns out to be a place none of us know until we reach it...We might expect that we will be prostrate, inconsolable, crazy with loss. We do not expect to be literally crazy, cool customers who believe that their husband is about to return and need his shoes. In the version of grief we imagine, the model will be 'healing.' A Certain forward movement will prevail. The worst days will be the earliest days. We imagine that the moment to most severely test us will be the funeral, after which this hypothetical healing will take place. When we anticipate the funeral we wonder about failing to 'get through it,' rise to the occasion, exhibit the 'strength' that invariably gets mentioned as the correct response to death. We anticipate needing to steel ourselves for the moment: will I be able to greet people, will I be able to leave the scene, will I be able even to get dressed that day? We have no way of knowing that this will not be the issue. We have no way of knowing that the funeral itself will be anodyne, a kind of narcotic regression in which we are wrapped in the care of others and the gravity and meaning of the occasion. Nor can we know ahead of the fact the unending absence that follows, the void, the very opposite of meaning, the relentless succession of moments during which we will confront the experience of meaninglessness itself.
Joan Didion
Who knows—maybe a downturn is exactly what’s coming next. Worse, maybe you caused it. Just because you did something once, doesn’t mean you’ll be able to do it successfully forever. Reversals and regressions are as much a part of the cycle of life as anything else. But we can manage that too.
Ryan Holiday (Ego Is the Enemy)
But whenever I tried to pin down this idea of self-esteem, the specific qualities we hoped to inculcate, the specific means by which we might feel good about ourselves, the conversation always seemed to follow a path of infinite regress. Did you dislike yourself because of your color or because you couldn’t read and couldn’t get a job? Or perhaps it was because you were unloved as a child—only, were you unloved because you were too dark? Or too light? Or because your mother shot heroin into her veins … and why did she do that anyway? Was the sense of emptiness you felt a consequence of kinky hair or the fact that your apartment had no heat and no decent furniture? Or was it because deep down you imagined a godless universe? Maybe one couldn’t avoid such questions on the road to personal salvation. What I doubted was that all the talk about self-esteem could serve as the centerpiece of an effective black politics. It demanded too much honest self-reckoning from people; without such honesty, it easily degenerated into vague exhortation. Perhaps with more self-esteem fewer blacks would be poor, I thought to myself, but I had no doubt that poverty did nothing for our self-esteem. Better to concentrate on the things we might all agree on. Give that black man some tangible skills and a job. Teach that black child reading and arithmetic in a safe, well-funded school. With the basics taken care of, each of us could search for our own sense of self-worth.
Barack Obama (Dreams from My Father: A Story of Race and Inheritance)
The unsolved problems of the physical world now seem even more formidable than those solved in the twentieth century. Though in application it works splendidly, we do not even understand the physical meaning of quantum mechanics, much less how it might be united with general relativity. We don't know why the dimensionless constants (ratios of masses of elementary particles, ratios of strength of gravitational to electric forces, fine structure constant, etc.) have the values they do, unless we appeal to the implausible anthropic principle, which seems like a regression to Aristotelian teleology.
Gerald Holton (Physics, the Human Adventure: From Copernicus to Einstein and Beyond)
More often than not, in fact, outstanding performance will become less outstanding. Conversely, very poor performance will improve. It is easy to imagine social, psychological, or even political reasons for this observation, but reasons are not required. The phenomenon is purely statistical. Extreme observations in one direction or the other will tend to become less extreme, simply because past performance is not perfectly correlated with future performance. This tendency is called regression to the mean (hence the technical term nonregressive for matching predictions, which fail to take it into account).
Daniel Kahneman (Noise)
At any rate, we can see that repression is not the only means which the ego can employ for the purpose of defence against an unwelcome instinctual impulse. If it succeeds in making an instinct regress, it will actually have done it more injury than it could have by repressing it. Sometimes, indeed, after forcing an instinct to regress in this way, it goes on to repress it.
Sigmund Freud (Inhibitions, Symptoms and Anxiety)
We feel that our actions are voluntary when they follow a decision, and involuntary when they happen without decision. But if decision itself were voluntary, every decision would have to be preceded by a decision to decide–an infinite regression which fortunately does not occur. Oddly enough, if we had to decide to decide, we would not be free to decide. We are free to decide because decision “happens.” We just decide without having the faintest understanding of how we do it. In fact, it is neither voluntary nor involuntary. To “get the feel” of this relativity is to find another extraordinary transformation of our experience as a whole, which may be described in either of two ways. I feel that I am deciding everything that happens, or, I feel that everything, including my decisions, is just happening spontaneously. For a decision–the freest of my actions-just happens like hiccups inside me or like a bird singing outside me. Such a way of seeing things is vividly described by a modern Zen master, the late Sokei-an Sasaki: One day I wiped out all the notions from my mind. I gave up all desire. I discarded all the words with which I thought and stayed in quietude. I felt a little queer–as if I were being carried into something, or as if I were touching some power unknown to me … and Ztt! I entered. I lost the boundary of my physical body. I had my skin, of course, but I felt I was standing in the center of the cosmos. I spoke, but my words had lost their meaning. I saw people coming towards me, but all were the same man. All were myself! I had never known this world. I had believed that I was created, but now I must change my opinion: I was never created; I was the cosmos; no individual Mr. Sasaki existed.7 It would seem, then, that to get rid of the subjective distinction between “me” and “my experience”–through seeing that my idea of myself is not myself–is to discover the actual relationship between myself and the “outside” world. The individual, on the one hand, and the world, on the other, are simply the abstract limits or terms of a concrete reality which is “between” them, as the concrete coin is “between” the abstract, Euclidean surfaces of its two sides. Similarly, the reality of all “inseparable opposites”–life and death, good and evil, pleasure and pain, gain and loss–is that “between” for which we have no words.
Alan W. Watts (The Way of Zen)
Many people who belong to no church, and who are even hostile to organized faith, profess a belief in God because, in the usual phrase, it gives their life meaning. (This is of course subject to the same grand regress as the creationist argument: just as we have to ask who then created the Creator, so we’re bound to ask if God’s life has meaning and, if so, from what deity He or She derives it.)
Christopher Hitchens (The Quotable Hitchens from Alcohol to Zionism: The Very Best of Christopher Hitchens)
Throughout this story, we will see two competing plotlines: liberalism, meaning progress, growth, disruption, revolution in the sense of radical advance, and illiberalism, standing for regression, restriction, nostalgia, revolution in the sense of returning to the past. That dual meaning of revolution endures to this day. Donald Trump sees himself as a revolutionary, but one who wants to bring back the world of the 1950s.
Fareed Zakaria (Age of Revolutions: Progress and Backlash from 1600 to the Present)
Regression effects are ubiquitous, and so are misguided causal stories to explain them. A well-known example is the “Sports Illustrated jinx,” the claim that an athlete whose picture appears on the cover of the magazine is doomed to perform poorly the following season. Overconfidence and the pressure of meeting high expectations are often offered as explanations. But there is a simpler account of the jinx: an athlete who gets to be on the cover of Sports Illustrated must have performed exceptionally well in the preceding season, probably with the assistance of a nudge from luck—and luck is fickle. I happened to watch the men’s ski jump event in the Winter Olympics while Amos and I were writing an article about intuitive prediction. Each athlete has two jumps in the event, and the results are combined for the final score. I was startled to hear the sportscaster’s comments while athletes were preparing for their second jump: “Norway had a great first jump; he will be tense, hoping to protect his lead and will probably do worse” or “Sweden had a bad first jump and now he knows he has nothing to lose and will be relaxed, which should help him do better.” The commentator had obviously detected regression to the mean and had invented a causal story for which there was no evidence. The story itself could even be true. Perhaps if we measured the athletes’ pulse before each jump we might find that they are indeed more relaxed after a bad first jump. And perhaps not. The point to remember is that the change from the first to the second jump does not need a causal explanation. It is a mathematically inevitable consequence of the fact that luck played a role in the outcome of the first jump. Not a very satisfactory story—we would all prefer a causal account—but that is all there is.
Daniel Kahneman (Thinking, Fast and Slow)
If the random-walk view is correct, today's stock prices embody all relevant information. The only thing that would make them change is the availability of new information. Since we have no way of knowing what that new information might be, there is no mean for stock prices to regress to. In other words, there is no such thing as a temporary stock price-that is, a price that sits in limbo before moving to some other point. That is also why changes are unpredictable.
Peter L. Bernstein (Against the Gods: The Remarkable Story of Risk)
If a parent behaves in a negative way around their child, then, guess what, their child is going to grow up with a negative mindset. This means that as parents we carry a huge responsibility on our shoulders. And yet how many of us can really say we’re leading by example? I worry that we’re becoming a nation of lazy parents. We’re so concerned with ourselves, we’re so narcissistic, that we forget that if we start acting like kids, our kids will start acting like babies. There’s a knock-on effect. Adults, increasingly, are acting like teenagers. Teenagers, more and more, are acting like children. Children are regressing into babies. There are adults who can barely look after themselves. They play the victim all the time and think only of me, me, me. Their kids don’t stand a fucking chance. No wonder there’s a whole generation of children who stick their heads in their laptops or tablets and never come out. We’re supposed to be taking steps forward in life, not tumbling back!
Ant Middleton (Zero Negativity: The Power of Positive Thinking)
On September 11, 1973, General Augusto Pinochet led a successful coup that overthrew the elected socialist government of President Salvador Allende in Chile. Ruling in the name of economic liberty, the Pinochet junta became one of the most notorious authoritarian regimes in recent history. With mass killings, widespread torture, and systematic intimidation, Pinochet’s forces crushed the trade union movement, vanquished the rural farmers seeking land reform, stifled student activism, and imposed radical and unpopular changes in schooling, health care, social security, and more. As Orlando Letelier, the soon-to-be-assassinated Chilean ambassador to the United States, explained in The Nation, the economic program and the repression were inseparable: social and political “regression for the majorities and ‘economic freedom’ for small privileged groups” went together.1 The military coup obliterated the citizen-led organizing that had made Chile a beacon to the rest of Latin America of what might be achieved by democratic, electoral means.2
Nancy MacLean (Democracy in Chains: The Deep History of the Radical Right's Stealth Plan for America)
Bowlby's conviction that attachment needs continue throughout life and are not outgrown has important implications for psychotherapy. It means that the therapist inevitably becomes an important attachment figure for the patient, and that this is not necessarily best seen as a 'regression' to infantile dependence (the developmental 'train' going into reverse), but rather the activation of attachment needs that have been previously suppressed. Heinz Kohut (1977) has based his 'self psychology' on a similar perspective. He describes 'selfobject needs' that continue from infancy throughout life and comprise an individual's need for empathic responsiveness from parents, friends, lovers, spouses (and therapists). This responsiveness brings a sense of aliveness and meaning, security and self-esteem to a person's existence. Its lack leads to narcissistic disturbances of personality characterised by the desperate search for selfobjects - for example, idealisation of the therapist or the development of an erotic transference. When, as they inevitably will, these prove inadequate (as did the original environment), the person responds with 'narcissistic rage' and disappointment, which, in the absence of an adequate 'selfobject' cannot be dealt with in a productive way.
Jeremy Holmes (John Bowlby and Attachment Theory (Makers of Modern Psychotherapy))
I hope I have now made it clear why I thought it best, in speaking of the dissonances between fiction and reality in our own time, to concentrate on Sartre. His hesitations, retractations, inconsistencies, all proceed from his consciousness of the problems: how do novelistic differ from existential fictions? How far is it inevitable that a novel give a novel-shaped account of the world? How can one control, and how make profitable, the dissonances between that account and the account given by the mind working independently of the novel? For Sartre it was ultimately, like most or all problems, one of freedom. For Miss Murdoch it is a problem of love, the power by which we apprehend the opacity of persons to the degree that we will not limit them by forcing them into selfish patterns. Both of them are talking, when they speak of freedom and love, about the imagination. The imagination, we recall, is a form-giving power, an esemplastic power; it may require, to use Simone Weil's words, to be preceded by a 'decreative' act, but it is certainly a maker of orders and concords. We apply it to all forces which satisfy the variety of human needs that are met by apparently gratuitous forms. These forms console; if they mitigate our existential anguish it is because we weakly collaborate with them, as we collaborate with language in order to communicate. Whether or no we are predisposed towards acceptance of them, we learn them as we learn a language. On one view they are 'the heroic children whom time breeds / Against the first idea,' but on another they destroy by falsehood the heroic anguish of our present loneliness. If they appear in shapes preposterously false we will reject them; but they change with us, and every act of reading or writing a novel is a tacit acceptance of them. If they ruin our innocence, we have to remember that the innocent eye sees nothing. If they make us guilty, they enable us, in a manner nothing else can duplicate, to submit, as we must, the show of things to the desires of the mind. I shall end by saying a little more about La Nausée, the book I chose because, although it is a novel, it reflects a philosophy it must, in so far as it possesses novel form, belie. Under one aspect it is what Philip Thody calls 'an extensive illustration' of the world's contingency and the absurdity of the human situation. Mr. Thody adds that it is the novelist's task to 'overcome contingency'; so that if the illustration were too extensive the novel would be a bad one. Sartre himself provides a more inclusive formula when he says that 'the final aim of art is to reclaim the world by revealing it as it is, but as if it had its source in human liberty.' This statement does two things. First, it links the fictions of art with those of living and choosing. Secondly, it means that the humanizing of the world's contingency cannot be achieved without a representation of that contingency. This representation must be such that it induces the proper sense of horror at the utter difference, the utter shapelessness, and the utter inhumanity of what must be humanized. And it has to occur simultaneously with the as if, the act of form, of humanization, which assuages the horror. This recognition, that form must not regress into myth, and that contingency must be formalized, makes La Nausée something of a model of the conflicts in the modern theory of the novel. How to do justice to a chaotic, viscously contingent reality, and yet redeem it? How to justify the fictive beginnings, crises, ends; the atavism of character, which we cannot prevent from growing, in Yeats's figure, like ash on a burning stick? The novel will end; a full close may be avoided, but there will be a close: a fake fullstop, an 'exhaustion of aspects,' as Ford calls it, an ironic return to the origin, as in Finnegans Wake and Comment c'est. Perhaps the book will end by saying that it has provided the clues for another, in which contingency will be defeated, ...
Frank Kermode (The Sense of an Ending: Studies in the Theory of Fiction)
Intellectual chit-chat is thus replaced by meaningful events that occur in the reality of the psyche. Hence, for the individual to enter seriously into the process of individuation in the way that has been outlined means a completely new and different orientation toward life. For scientists it also means a new and different scientific approach to outer facts. How this will work out in the field of human knowledge and in the social life of human beings cannot be predicted. But to me it seems certain that Jung’s discovery of the process of individuation is a fact that future generations will have to take into account if they want to avoid drifting into a stagnant or even regressive outlook.
C.G. Jung (Man and His Symbols)
Ego and Shadow, indeed, although separate, are inextricably linked together in much the same way that thought and feeling are related to each other... The ego, nevertheless, is in conflict with the shadow, in what Dr. Jung once called "the battle for deliverance." In the struggle of primitive man to achieve consciousness, this conflict is expressed by the contest between the archetypal hero and the cosmic powers of evil, personified by dragons and other monsters. In the developing consciousness of the individual the hero figure is the symbolic means by which the emerging ego overcomes the inertia of the unconscious mind, and liberates the mature man from a regressive longing to return to the Blissful state of infancy in a world dominated by his mother.
Joseph L. Henderson (Man and His Symbols)
The 6 feminine elements in a man are: His human mother. This is the actual woman who was his mother, she with all her idiosyncrasies, individual characteristics, and uniqueness. His mother complex. This resided entirely inside the man himself. This is his regressive capacity which would like to return to a dependency on his mother and be a child a gain. This is a man's wish to fail, his defeatist capacity, his subterranean fascination with death or accident, his demand to be take care of. This is pure poison in a man's psychology. His mother archetype. If the mother complex is pure poison, the mother archetype is pure gold. It is the feminine half of God, the cornucopia of the universe, mother nature, the bounty which is freely poured out to us without fail. We could not live for one minute without the bounty of the mother archetype. It is always reliable, nourishing, sustaining. His fair maiden. This is the feminine component in every man's psychic structure and is the fair damsel. It's is Blanche Fleur, one's lady fair, Dulcinea in Don Quixote, Beatrice to Dante in the Comedia Divina. It is she who gives meaning and color to one's life. Dr. Jung named this quality anima, she who animates and brings life. His wife or partner. This is the flesh and blood companion who share his life journey and is a human companion. Sophia. This is the Goddess of Wisdom, the feminine half of God, the Shekinah in Jewish mysticism. It comes as a shock to a man to discover that Wisdom is feminine, but all mythologies have portrayed it so. 49-50
Robert A. Johnson (He: Understanding Masculine Psychology)
Grief turns out to be a place none of us know until we reach it. We anticipate (we know) that someone close to us could die, but we do not look beyond the few days or weeks that immediately follow such an imagined death. We misconstrue the nature of even those few days or weeks. We might expect if the death is sudden to feel shock. We do not expect this shock to be obliterative, dislocating to both body and mind. We might expect that we will be prostrate, inconsolable, crazy with loss. We do not expect to be literally crazy, cool customers who believe that their husband is about to return and need his shoes. In the version of grief we imagine, the model will be “healing.” A certain forward movement will prevail. The worst days will be the earliest days. We imagine that the moment to most severely test us will be the funeral, after which this hypothetical healing will take place. When we anticipate the funeral we wonder about failing to “get through it,” rise to the occasion, exhibit the “strength” that invariably gets mentioned as the correct response to death. We anticipate needing to steel ourselves for the moment: will I be able to greet people, will I be able to leave the scene, will I be able even to get dressed that day? We have no way of knowing that this will not be the issue. We have no way of knowing that the funeral itself will be anodyne, a kind of narcotic regression in which we are wrapped in the care of others and the gravity and meaning of the occasion. Nor can we know ahead of the fact (and here lies the heart of the difference between grief as we imagine it and grief as it is) the unending absence that follows, the void, the very opposite of meaning, the relentless succession of moments during which we will confront the experience of meaninglessness itself.           A
Joan Didion (The Year of Magical Thinking)
In a discussion of flight training, experienced instructors noted that praise for an exceptionally smooth landing is typically followed by a poorer landing on the next try, while harsh criticism after a rough landing is usually followed by an improvement on the next try. The instructors concluded that verbal rewards are detrimental to learning, while verbal punishments are beneficial, contrary to accepted psychological doctrine. This conclusion is unwarranted because of the presence of regression toward the mean. As in other cases of repeated examination, an improvement will usually follow a poor performance and a deterioration will usually follow an outstanding performance, even if the instructor does not respond to the trainee’s achievement on the first attempt. Because the instructors had praised their trainees after good landings and admonished them after poor ones, they reached the erroneous and potentially harmful conclusion that punishment is more effective than reward.
Daniel Kahneman (Thinking, Fast and Slow)
Revelation. I understand the mechanism of my own thinking. I know precisely how I know, and my understanding is recursive. I understand the infinite regress of this self-knowing, not by proceeding step by step endlessly, but by apprehending the limit. The nature of recursive cognition is clear to me. A new meaning of the term ‘self-aware.’ Fiat logos. I know my mind in terms of a language more expressive than any I’d previously imagined. Like God creating order from chaos with an utterance, I make myself anew with this language. It is meta-self-descriptive and self-editing; not only can it describe thought, it can describe and modify its own operations as well, at all levels. What Gödel would have given to see this language, where modifying a statement causes the entire grammar to be adjusted. With this language, I can see how my mind is operating. I don’t pretend to see my own neurons firing; such claims belong to John Lilly and his LSD experiments of the sixties. What I can do is perceive the gestalts; I see the mental structures forming, interacting. I see myself thinking, and I see the equations that describe my thinking, and I see myself comprehending the equations, and I see how the equations describe their being comprehended. I know how they make up my thoughts. These thoughts. Initially I am overwhelmed by all this input, paralyzed with awareness of my self. It is hours before I can control the flood of self-describing information. I haven’t filtered it away, nor pushed it into the background. It’s become integrated into my mental processes, for use during my normal activities. It will be longer before I can take advantage of it, effortlessly and effectively, the way a dancer uses her kinesthetic knowledge. All that I once knew theoretically about my mind, I now see detailed explicitly. The undercurrents of sex, aggression, and self-preservation, translated by the conditioning of my childhood, clash with and are sometimes disguised as rational thought. I recognize all the causes of my every mood, the motives behind my every decision. What
Ted Chiang (Stories of Your Life and Others)
It is challenging to honor the descent in a culture that primary values the ascent. We like things rising—stock markets, the GDP, profit margins. We get anxious when things go down. Even within psychology, there is a premise that is biased toward improvement, always getting better, rising above our troubles. We hold dear concepts like progress and integration. These are fine in and of themselves, but it is not the way psyche works. Psyche, we must remember, was shaped by and is rooted in the foundations of nature. As such, psyche also experiences times of decay and death, of stopping, regression, and being still. Much happens in these times that deepen the soul. When all we are shown is the imagery of ascent, we are left to interpret the times of descent as pathological; we feel that we are somehow failing. As poet and author Robert Bly wryly noted, “How can we get a look at the cinders side of things when the society is determined to create a world of shopping malls and entertainment complexes in which we are made to believe that there is no death, disfigurement, illness, insanity, lethargy, or misery? Disneyland means ‘no ashes.’ 
Francis Weller (The Wild Edge of Sorrow: Rituals of Renewal and the Sacred Work of Grief)
Legitimate” faith must always rest on experience. There is, however, another kind of faith which rests exclusively on the authority of tradition. This kind of faith could also be called “legitimate,” since the power of tradition embodies an experience whose importance for the continuity of culture is beyond question. But with this kind of faith there is always the danger of mere habit supervening—it may so easily degenerate into spiritual inertia and a thoughtless compliance which, if persisted in, threatens stagnation and cultural regression. This mechanical dependence goes hand in hand with a psychic regression to infantilism. The traditional contents gradually lose their real meaning and are only believed in as formalities, without this belief having any influence on the conduct of life. There is no longer a living power behind it. The much-vaunted “child-likeness” of faith only makes sense when the feeling behind the experience is still alive. If it gets lost, faith is only another word for habitual, infantile dependence, which takes the place of, and actually prevents, the struggle for deeper understanding. This seems to be the position we have reached today.
C.G. Jung (Collected Works of C. G. Jung, Volume 5: Symbols of Transformation (The Collected Works of C. G. Jung))
[W]ar cannot be abolished; as long as the conditions of existence among races are so varied and the repulsions between them are so vehement, there will have to be wars. The question then arises whether we shall be the ones to yield and adapt ourselves to it. Shall we not admit that in our civilized attitude towards death we have again lived psychologically beyond our means? Shall we not turn around and avow the truth? Were it not better to give death the place to which it is entitled both in reality and in our thoughts and to reveal a little more of our unconscious attitude towards death which up to now we have so carefully suppressed? This may not appear a very high achievement and in some respects rather a step backwards, a kind of regression, but at least it has the advantage of taking the truth into account a little more and of making life more bearable again. To bear life remains, after all, the first duty of the living. The illusion becomes worthless if it disturbs us in this. We remember the old saying: Si vis pacem, para bellum. If you wish peace, prepare for war. The times call for a paraphrase: Si vis vitam, para mortem. If you wish life, prepare for death.
Sigmund Freud (Reflections on War and Death)
Although we are all subject to self-deception and to a variety of wish-fulfilling illusions, Freud’s account of the oceanic feeling and its meaning is less than satisfactory. It seems a more important experience than he admits. Defensive strategies and escapist wish-fulfilments generally appear superficial and partially inauthentic even to those who are employing them. But those who have experienced the states of mind recorded by Byrd and by William James record them as having had a permanent effect upon their perception of themselves and of the world; as being the profoundest moments of their existence. This is true both of those who have felt the sense of unity with the universe and of those who have felt the sense of unity with a beloved person. Freud was right in seeing a close similarity between these two varieties of unity, but wrong in dismissing them as merely regressive. Such feelings are intensely subjective, and are hardly susceptible of measurement or scientific scrutiny. But to feel totally at one with another person, or totally at one with the universe, are such deep experiences that, although they may be transient, they cannot be dismissed as mere evasions or defences against unwelcome truths.
Anthony Storr (Solitude: A Return to the Self)
The psychological importance of sexuality and the existence of plausible sexual analogies make a deviation into sex extremely easy in cases of regression, so that it naturally seems as if all one’s troubles were due to a sexual wish that is unjustly denied fulfilment. This reasoning is typical of the neurotic. Primitives seem to know instinctively the dangers of this deviation: when celebrating the hieros gamos, the Wachandi, of Australia, may not look at a woman during the entire ceremony. Among a certain tribe of American Indians, it was the custom for the warriors, before setting out on the warpath, to move in a circle round a beautiful young girl standing naked in the centre. Whoever got an erection was disqualified as unfit for military operations. The deviation into sex is used—not always, but very frequently—as a means of escaping the real problem. One makes oneself and others believe that the problem is purely sexual, that the trouble started long ago and that its causes lie in the remote past. This provides a heaven-sent way out of the problem of the present by shifting the whole question on to another and less dangerous plane. But the illicit gain is purchased at the expense of adaptation, and one gets a neurosis into the bargain.
C.G. Jung (Collected Works of C. G. Jung, Volume 5: Symbols of Transformation (The Collected Works of C. G. Jung))
At a time when a large part of mankind is beginning to discard Christianity, it may be worth our while to try to understand why it was accepted in the first place. It was accepted as a means of escape from the brutality and unconsciousness of the ancient world. As soon as we discard it, the old brutality returns in force, as has been made overwhelmingly clear by contemporary events. This is not a step forwards, but a long step backwards into the past. It is the same with individuals who lay aside one form of adaptation and have no new form to turn to: they infallibly regress along the old path and then find themselves at a great disadvantage, because the world around them has changed considerably in the meantime. Consequently, any one who is repelled by the philosophical weakness of Christian dogmatism or by the barren idea of a merely historical Jesus—for we know far too little about his contradictory personality and the little we do know only confuses our judgment—and who throws Christianity overboard and with it the whole basis of morality, is bound to be confronted with the age-old problem of brutality. We have had bitter experience of what happens when a whole nation finds the moral mask too stupid to keep up. The beast breaks loose, and a frenzy of demoralization sweeps over the civilized world.
C.G. Jung (Collected Works of C. G. Jung, Volume 5: Symbols of Transformation (The Collected Works of C. G. Jung))
Of course I know that the Enemy also wants to detach men from themselves, but in a different way. Remember always, that He really likes the little vermin, and sets an absurd value on the distinctness of every one of them. When He talks of their losing their selves, He only means abandoning the clamour of self-will; once they have done that, He really gives them back all their personality, and boasts (I am afraid, sincerely) that when they are wholly His they will be more themselves than ever. Hence, while He is delighted to see them sacrificing even their innocent wills to His, He hates to see them drifting away from their own nature for any other reason. And we should always encourage them to do so. The deepest likings and impulses of any man are the raw material, the starting-point, with which the Enemy has furnished him. To get him away from those is therefore always a point gained; even in things indifferent it is always desirable to substitute the standards of the World, or convention, or fashion, for a human’s own real likings and dislikings. I myself would carry this very far. I would make it a rule to eradicate from my patient any strong personal taste which is not actually a sin, even if it is something quite trivial such as a fondness for county cricket or collecting stamps or drinking cocoa. Such
C.S. Lewis (The Theology of C. S. Lewis - 12 Books Collection: The Pilgrim's Regress, Mere Christianity, The Screwtape Letters, The Problem of Pain, Reflections on ... Religious Studies & Memoirs of the Author)
Fast-forward nearly a hundred years, and Prufrock’s protest is enshrined in high school syllabi, where it’s dutifully memorized, then quickly forgotten, by teens increasingly skilled at shaping their own online and offline personae. These students inhabit a world in which status, income, and self-esteem depend more than ever on the ability to meet the demands of the Culture of Personality. The pressure to entertain, to sell ourselves, and never to be visibly anxious keeps ratcheting up. The number of Americans who considered themselves shy increased from 40 percent in the 1970s to 50 percent in the 1990s, probably because we measured ourselves against ever higher standards of fearless self-presentation. “Social anxiety disorder”—which essentially means pathological shyness—is now thought to afflict nearly one in five of us. The most recent version of the Diagnostic and Statistical Manual (DSM-IV), the psychiatrist’s bible of mental disorders, considers the fear of public speaking to be a pathology—not an annoyance, not a disadvantage, but a disease—if it interferes with the sufferer’s job performance. “It’s not enough,” one senior manager at Eastman Kodak told the author Daniel Goleman, “to be able to sit at your computer excited about a fantastic regression analysis if you’re squeamish about presenting those results to an executive group.” (Apparently it’s OK to be squeamish about doing a regression analysis if you’re excited about giving speeches.)
Susan Cain (Quiet: The Power of Introverts in a World That Can't Stop Talking)
We have learned from Ludwig von Mises how to respond to the socialists’ evasion (immunization) strategy. As long as the defining characteristic— the essence—of socialism, i.e., the absence of the private ownership of the factors of production, remains in place, no reform will be of any help. The idea of a socialist economy is a contradictio in adjecto, and the claim that socialism represents a higher, more efficient mode of social production is absurd. In order to reach one’s own ends efficiently and without waste within the framework of an exchange economy based on division of labor, it is necessary that one engage in monetary calculation (cost-accounting). Everywhere outside the system of a primitive self-sufficient single household economy, monetary calculation is the sole tool of rational and efficient action. Only by being able to compare inputs and outputs arithmetically in terms of a common medium of exchange (money) can a person determine whether his actions are successful or not. In distinct contrast, socialism means to have no economy, no economizing, at all, because under these conditions monetary calculation and cost-accounting is impossible by definition. If no private property in the factors of production exists, then no prices for any production factor exist; hence, it is impossible to determine whether or not they are employed economically. Accordingly, socialism is not a higher mode of production but rather economic chaos and regression to primitivism.
Hans-Hermann Hoppe (The Great Fiction)
There are, however, yet other possibilities. We have seen that the empty state of consciousness, the unconscious condition, is brought about by the libido sinking into the unconscious. In the unconscious feeling-toned contents lie dormant memory-complexes from the individual’s past, above all the parental complex, which is identical with the childhood complex in general. Devotion, or the sinking of libido into the unconscious, reactivates the childhood complex so that the childhood reminiscences, and especially the relations with the parents, become suffused with life. The fantasies produced by this reactivation give rise to the birth of father and mother divinities, as well as awakening the childhood relations with God and the corresponding childlike feelings. Characteristically, it is symbols of the parents that become activated and by no means always the images of the real parents, a fact which Freud explains as repression of the parental imago through resistance to incest. I agree with this interpretation, yet I believe it is not exhaustive, since it overlooks the extraordinary significance of this symbolic substitution. Symbolization in the shape of the God-image is an immense step beyond the concretism, the sensuousness, of memory, since, through acceptance of the “symbol” as a real symbol, the regression to the parents is instantly transformed into a progression, whereas it would remain a regression if the symbol were to be interpreted merely as a sign for the actual parents and thus robbed of its independent character.98
C.G. Jung (Collected Works of C. G. Jung, Volume 6: Psychological Types (The Collected Works of C. G. Jung))
Humanity came to its gods by accepting the reality of the symbol, that is, it came to the reality of thought, which has made man lord of the earth. Devotion, as Schiller correctly conceived it, is a regressive movement of libido towards the primordial, a diving down into the source of the first beginnings. Out of this there rises, as an image of the incipient progressive movement, the symbol, which is a condensation of all the operative unconscious factors—“living form,” as Schiller says, and a God-image, as history proves. It is therefore no accident that he should seize on a divine image, the Juno Ludovici, as a paradigm. Goethe makes the divine images of Paris and Helen float up from the tripod of the Mothers99—on the one hand the rejuvenated pair, on the other the symbol of a process of inner union, which is precisely what Faust passionately craves for himself as the supreme inner atonement. This is clearly shown in the ensuing scene as also from the further course of the drama. As we can see from the example of Faust, the vision of the symbol is a pointer to the onward course of life, beckoning the libido towards a still distant goal—but a goal that henceforth will burn unquenchably within him, so that his life, kindled as by a flame, moves steadily towards the far-off beacon. This is the specific life-promoting significance of the symbol, and such, too, is the meaning and value of religious symbols. I am speaking, of course, not of symbols that are dead and stiffened by dogma, but of living symbols that rise up from the creative unconscious of the living man.
C.G. Jung (Collected Works of C. G. Jung, Volume 6: Psychological Types (The Collected Works of C. G. Jung))
Still, the appeal of regressive ideas is perennial, and the case for reason, science, humanism, and progress always has to be made. When we fail to acknowledge our hard-won progress, we may come to believe that perfect order and universal prosperity are the natural state of affairs, and that every problem is an outrage that calls for blaming evildoers, wrecking institutions, and empowering a leader who will restore the country to its rightful greatness. I have made my own best case for progress and the ideals that made it possible, and have dropped hints on how journalists, intellectuals, and other thoughtful people (including the readers of this book) might avoid contributing to the widespread heedlessness of the gifts of the Enlightenment. Remember your math: an anecdote is not a trend. Remember your history: the fact that something is bad today doesn’t mean it was better in the past. Remember your philosophy: one cannot reason that there’s no such thing as reason, or that something is true or good because God said it is. And remember your psychology: much of what we know isn’t so, especially when our comrades know it too. Keep some perspective. Not every problem is a Crisis, Plague, Epidemic, or Existential Threat, and not every change is the End of This, the Death of That, or the Dawn of a Post-Something Era. Don’t confuse pessimism with profundity: problems are inevitable, but problems are solvable, and diagnosing every setback as a symptom of a sick society is a cheap grab for gravitas. Finally, drop the Nietzsche. His ideas may seem edgy, authentic, baaad, while humanism seems sappy, unhip, uncool. But what’s so funny about peace, love, and understanding?
Steven Pinker (Enlightenment Now: The Case for Reason, Science, Humanism, and Progress)
Last night, as I was sleeping, I dreamt—marvellous error!— that I had a beehive here inside my heart. And the golden bees were making white cones and sweet honey from my old failures. Antonio Machado, “Last Night” (translated by Robert Bly) I once heard someone ask for the definition of adult. I can’t remember where I was, or who the speaker was who answered the question, but I’ll never forget the answer: “Adult means choice.” As children, most of us had little or no say in most matters. My generation was taught that children should be seen and not heard. We were told to “do as I say, not as I do.” We didn’t have a “vote” in family matters because we were “just children.” Picture this scenario if you will. Five-year-old Jerry has just received his umpteenth whipping or scolding. He turns to his parents and says, “You know, Mom and Dad, I choose not to be abused anymore. I’ll be taking the car keys, withdrawing some money from our joint account, and moving to Florida to live with Grandma and Grandpa. When you both start acting like adults, give me a call, and we’ll discuss the conditions of my return. We’ll see if we can settle on a mutual arrangement where you two stay adult as much of the time as possible, and I’ll be a kid who learns how to make healthy choices by being disciplined instead of punished. We’ll negotiate how you will set healthy boundaries so I can learn to do the same. For now, I’ll be seeing you. Don’t forget to write. And don’t forget to read John Lee’s book on regression. I’m too young, but you’re not.” As children, we did not have the choice of laying down the law for our frequently regressing parents. But as adults we can certainly choose to draw our boundaries and express our needs in all of our relationships as adults—not only with our parents, but also with our spouses, friends, colleagues, and acquaintances.
John H. Lee (Growing Yourself Back Up: Understanding Emotional Regression)
The wonder of evolution is that it works at all. I mean that literally: If you want to marvel at evolution, that’s what’s marvel-worthy. How does optimization first arise in the universe? If an intelligent agent designed Nature, who designed the intelligent agent? Where is the first design that has no designer? The puzzle is not how the first stage of the bootstrap can be super-clever and super-efficient; the puzzle is how it can happen at all. Evolution resolves the infinite regression, not by being super-clever and super-efficient, but by being stupid and inefficient and working anyway. This is the marvel. For professional reasons, I often have to discuss the slowness, randomness, and blindness of evolution. Afterward someone says: “You just said that evolution can’t plan simultaneous changes, and that evolution is very inefficient because mutations are random. Isn’t that what the creationists say? That you couldn’t assemble a watch by randomly shaking the parts in a box?” But the reply to creationists is not that you can assemble a watch by shaking the parts in a box. The reply is that this is not how evolution works. If you think that evolution does work by whirlwinds assembling 747s, then the creationists have successfully misrepresented biology to you; they’ve sold the strawman. The real answer is that complex machinery evolves either incrementally, or by adapting previous complex machinery used for a new purpose. Squirrels jump from treetop to treetop using just their muscles, but the length they can jump depends to some extent on the aerodynamics of their bodies. So now there are flying squirrels, so aerodynamic they can glide short distances. If birds were wiped out, the descendants of flying squirrels might reoccupy that ecological niche in ten million years, gliding membranes transformed into wings. And the creationists would say, “What good is half a wing? You’d just fall down and splat. How could squirrelbirds possibly have evolved incrementally?
Eliezer Yudkowsky (Rationality: From AI to Zombies)
These words show that the libido has now sunk to a depth where “the danger is great” (Faust, “The Mothers”). There God is near, there man would find the maternal vessel of rebirth, the seeding-place where he could renew his life. For life goes on despite loss of youth; indeed it can be lived with the greatest intensity if looking back to what is already moribund does not hamper your step. Looking back would be perfectly all right if only it did not stop at externals, which cannot be brought back again in any case; instead, it ought to consider where the fascination of the past really springs from. The golden haze of childhood memories arises not so much from the objective facts as from the admixture of magical images which are more intuited than actually conscious. The parable of Jonah who was swallowed by the whale reproduces the situation exactly. A person sinks into his childhood memories and vanishes from the existing world. He finds himself apparently in deepest darkness, but then has unexpected visions of a world beyond. The “mystery” he beholds represents the stock of primordial images which everybody brings with him as his human birthright, the sum total of inborn forms peculiar to the instincts. I have called this “potential” psyche the collective unconscious. If this layer is activated by the regressive libido, there is a possibility of life being renewed, and also of its being destroyed. Regression carried to its logical conclusion means a linking back with the world of natural instincts, which in its formal or ideal aspect is a kind of prima materia. If this prima materia can be assimilated by the conscious mind it will bring about a reactivation and reorganization of its contents. But if the conscious mind proves incapable of assimilating the new contents pouring in from the unconscious, then a dangerous situation arises in which they keep their original, chaotic, and archaic form and consequently disrupt the unity of consciousness. The resultant mental disturbance is therefore advisedly called schizophrenia, since it is a madness due to the splitting of the mind.
C.G. Jung (Collected Works of C. G. Jung, Volume 5: Symbols of Transformation (The Collected Works of C. G. Jung))
We have learned in the course of this investigation that the libido which builds up religious structures regresses in the last analysis to the mother, and thus represents the real bond through which we are connected with our origins. When the Church Fathers derive the word religio from religare (to reconnect, link back), they could at least have appealed to this psychological fact in support of their view.71 As we have seen, this regressive libido conceals itself in countless symbols of the most heterogeneous nature, some masculine and some feminine—differences of sex are at bottom secondary and not nearly so important psychologically as would appear at first sight. The essence and motive force of the sacrificial drama consist in an unconscious transformation of energy, of which the ego becomes aware in much the same way as sailors are made aware of a volcanic upheaval under the sea. Of course, when we consider the beauty and sublimity of the whole conception of sacrifice and its solemn ritual, it must be admitted that a psychological formulation has a shockingly sobering effect. The dramatic concreteness of the sacrificial act is reduced to a barren abstraction, and the flourishing life of the figures is flattened into two-dimensionality. Scientific understanding is bound, unfortunately, to have regrettable effects—on one side; on the other side abstraction makes for a deepened understanding of the phenomena in question. Thus we come to realize that the figures in the mythical drama possess qualities that are interchangeable, because they do not have the same “existential” meaning as the concrete figures of the physical world. The latter suffer tragedy, perhaps, in the real sense, whereas the others merely enact it against the subjective backcloth of introspective consciousness. The boldest speculations of the human mind concerning the nature of the phenomenal world, namely that the wheeling stars and the whole course of human history are but the phantasmagoria of a divine dream, become, when applied to the inner drama, a scientific probability. The essential thing in the mythical drama is not the concreteness of the figures, nor is it important what sort of an animal is sacrificed or what sort of god it represents; what alone is important is that an act of sacrifice takes place, that a process of transformation is going on in the unconscious whose dynamism, whose contents and whose subject are themselves unknown but become visible indirectly to the conscious mind by stimulating the imaginative material at its disposal, clothing themselves in it like the dancers who clothe themselves in the skins of animals or the priests in the skins of their human victims.
C.G. Jung (Collected Works of C. G. Jung, Volume 5: Symbols of Transformation (The Collected Works of C. G. Jung))
Table 14.1 also shows R-square (R2), which is called the coefficient of determination. R-square is of great interest: its value is interpreted as the percentage of variation in the dependent variable that is explained by the independent variable. R-square varies from zero to one, and is called a goodness-of-fit measure.5 In our example, teamwork explains only 7.4 percent of the variation in productivity. Although teamwork is significantly associated with productivity, it is quite likely that other factors also affect it. It is conceivable that other factors might be more strongly associated with productivity and that, when controlled for other factors, teamwork is no longer significant. Typically, values of R2 below 0.20 are considered to indicate weak relationships, those between 0.20 and 0.40 indicate moderate relationships, and those above 0.40 indicate strong relationships. Values of R2 above 0.65 are considered to indicate very strong relationships. R is called the multiple correlation coefficient and is always 0 ≤ R ≤ 1. To summarize up to this point, simple regression provides three critically important pieces of information about bivariate relationships involving two continuous variables: (1) the level of significance at which two variables are associated, if at all (t-statistic), (2) whether the relationship between the two variables is positive or negative (b), and (3) the strength of the relationship (R2). Key Point R-square is a measure of the strength of the relationship. Its value goes from 0 to 1. The primary purpose of regression analysis is hypothesis testing, not prediction. In our example, the regression model is used to test the hypothesis that teamwork is related to productivity. However, if the analyst wants to predict the variable “productivity,” the regression output also shows the SEE, or the standard error of the estimate (see Table 14.1). This is a measure of the spread of y values around the regression line as calculated for the mean value of the independent variable, only, and assuming a large sample. The standard error of the estimate has an interpretation in terms of the normal curve, that is, 68 percent of y values lie within one standard error from the calculated value of y, as calculated for the mean value of x using the preceding regression model. Thus, if the mean index value of the variable “teamwork” is 5.0, then the calculated (or predicted) value of “productivity” is [4.026 + 0.223*5 =] 5.141. Because SEE = 0.825, it follows that 68 percent of productivity values will lie 60.825 from 5.141 when “teamwork” = 5. Predictions of y for other values of x have larger standard errors.6 Assumptions and Notation There are three simple regression assumptions. First, simple regression assumes that the relationship between two variables is linear. The linearity of bivariate relationships is easily determined through visual inspection, as shown in Figure 14.2. In fact, all analysis of relationships involving continuous variables should begin with a scatterplot. When variable
Evan M. Berman (Essential Statistics for Public Managers and Policy Analysts)
regression as dummy variables Explain the importance of the error term plot Identify assumptions of regression, and know how to test and correct assumption violations Multiple regression is one of the most widely used multivariate statistical techniques for analyzing three or more variables. This chapter uses multiple regression to examine such relationships, and thereby extends the discussion in Chapter 14. The popularity of multiple regression is due largely to the ease with which it takes control variables (or rival hypotheses) into account. In Chapter 10, we discussed briefly how contingency tables can be used for this purpose, but doing so is often a cumbersome and sometimes inconclusive effort. By contrast, multiple regression easily incorporates multiple independent variables. Another reason for its popularity is that it also takes into account nominal independent variables. However, multiple regression is no substitute for bivariate analysis. Indeed, managers or analysts with an interest in a specific bivariate relationship will conduct a bivariate analysis first, before examining whether the relationship is robust in the presence of numerous control variables. And before conducting bivariate analysis, analysts need to conduct univariate analysis to better understand their variables. Thus, multiple regression is usually one of the last steps of analysis. Indeed, multiple regression is often used to test the robustness of bivariate relationships when control variables are taken into account. The flexibility with which multiple regression takes control variables into account comes at a price, though. Regression, like the t-test, is based on numerous assumptions. Regression results cannot be assumed to be robust in the face of assumption violations. Testing of assumptions is always part of multiple regression analysis. Multiple regression is carried out in the following sequence: (1) model specification (that is, identification of dependent and independent variables), (2) testing of regression assumptions, (3) correction of assumption violations, if any, and (4) reporting of the results of the final regression model. This chapter examines these four steps and discusses essential concepts related to simple and multiple regression. Chapters 16 and 17 extend this discussion by examining the use of logistic regression and time series analysis. MODEL SPECIFICATION Multiple regression is an extension of simple regression, but an important difference exists between the two methods: multiple regression aims for full model specification. This means that analysts seek to account for all of the variables that affect the dependent variable; by contrast, simple regression examines the effect of only one independent variable. Philosophically, the phrase identifying the key difference—“all of the variables that affect the dependent variable”—is divided into two parts. The first part involves identifying the variables that are of most (theoretical and practical) relevance in explaining the dependent
Evan M. Berman (Essential Statistics for Public Managers and Policy Analysts)
Thus, multiple regression requires two important tasks: (1) specification of independent variables and (2) testing of the error term. An important difference between simple regression and multiple regression is the interpretation of the regression coefficients in multiple regression (b1, b2, b3, …) in the preceding multiple regression model. Although multiple regression produces the same basic statistics discussed in Chapter 14 (see Table 14.1), each of the regression coefficients is interpreted as its effect on the dependent variable, controlled for the effects of all of the other independent variables included in the regression. This phrase is used frequently when explaining multiple regression results. In our example, the regression coefficient b1 shows the effect of x1 on y, controlled for all other variables included in the model. Regression coefficient b2 shows the effect of x2 on y, also controlled for all other variables in the model, including x1. Multiple regression is indeed an important and relatively simple way of taking control variables into account (and much easier than the approach shown in Appendix 10.1). Key Point The regression coefficient is the effect on the dependent variable, controlled for all other independent variables in the model. Note also that the model given here is very different from estimating separate simple regression models for each of the independent variables. The regression coefficients in simple regression do not control for other independent variables, because they are not in the model. The word independent also means that each independent variable should be relatively unaffected by other independent variables in the model. To ensure that independent variables are indeed independent, it is useful to think of the distinctively different types (or categories) of factors that affect a dependent variable. This was the approach taken in the preceding example. There is also a statistical reason for ensuring that independent variables are as independent as possible. When two independent variables are highly correlated with each other (r2 > .60), it sometimes becomes statistically impossible to distinguish the effect of each independent variable on the dependent variable, controlled for the other. The variables are statistically too similar to discern disparate effects. This problem is called multicollinearity and is discussed later in this chapter. This problem is avoided by choosing independent variables that are not highly correlated with each other. A WORKING EXAMPLE Previously (see Chapter 14), the management analyst with the Department of Defense found a statistically significant relationship between teamwork and perceived facility productivity (p <.01). The analyst now wishes to examine whether the impact of teamwork on productivity is robust when controlled for other factors that also affect productivity. This interest is heightened by the low R-square (R2 = 0.074) in Table 14.1, suggesting a weak relationship between teamwork and perceived productivity. A multiple regression model is specified to include the effects of other factors that affect perceived productivity. Thinking about other categories of variables that could affect productivity, the analyst hypothesizes the following: (1) the extent to which employees have adequate technical knowledge to do their jobs, (2) perceptions of having adequate authority to do one’s job well (for example, decision-making flexibility), (3) perceptions that rewards and recognition are distributed fairly (always important for motivation), and (4) the number of sick days. Various items from the employee survey are used to measure these concepts (as discussed in the workbook documentation for the Productivity dataset). After including these factors as additional independent variables, the result shown in Table 15.1 is
Evan M. Berman (Essential Statistics for Public Managers and Policy Analysts)
regression results. Standardized Coefficients The question arises as to which independent variable has the greatest impact on explaining the dependent variable. The slope of the coefficients (b) does not answer this question because each slope is measured in different units (recall from Chapter 14 that b = ∆y/∆x). Comparing different slope coefficients is tantamount to comparing apples and oranges. However, based on the regression coefficient (or slope), it is possible to calculate the standardized coefficient, β (beta). Beta is defined as the change produced in the dependent variable by a unit of change in the independent variable when both variables are measured in terms of standard deviation units. Beta is unit-less and thus allows for comparison of the impact of different independent variables on explaining the dependent variable. Analysts compare the relative values of beta coefficients; beta has no inherent meaning. It is appropriate to compare betas across independent variables in the same regression, not across different regressions. Based on Table 15.1, we conclude that the impact of having adequate authority on explaining productivity is [(0.288 – 0.202)/0.202 =] 42.6 percent greater than teamwork, and about equal to that of knowledge. The impact of having adequate authority is two-and-a-half times greater than that of perceptions of fair rewards and recognition.4 F-Test Table 15.1 also features an analysis of variance (ANOVA) table. The global F-test examines the overall effect of all independent variables jointly on the dependent variable. The null hypothesis is that the overall effect of all independent variables jointly on the dependent variables is statistically insignificant. The alternate hypothesis is that this overall effect is statistically significant. The null hypothesis implies that none of the regression coefficients is statistically significant; the alternate hypothesis implies that at least one of the regression coefficients is statistically significant. The
Evan M. Berman (Essential Statistics for Public Managers and Policy Analysts)
SUMMARY A vast array of additional statistical methods exists. In this concluding chapter, we summarized some of these methods (path analysis, survival analysis, and factor analysis) and briefly mentioned other related techniques. This chapter can help managers and analysts become familiar with these additional techniques and increase their access to research literature in which these techniques are used. Managers and analysts who would like more information about these techniques will likely consult other texts or on-line sources. In many instances, managers will need only simple approaches to calculate the means of their variables, produce a few good graphs that tell the story, make simple forecasts, and test for significant differences among a few groups. Why, then, bother with these more advanced techniques? They are part of the analytical world in which managers operate. Through research and consulting, managers cannot help but come in contact with them. It is hoped that this chapter whets the appetite and provides a useful reference for managers and students alike. KEY TERMS   Endogenous variables Exogenous variables Factor analysis Indirect effects Loading Path analysis Recursive models Survival analysis Notes 1. Two types of feedback loops are illustrated as follows: 2. When feedback loops are present, error terms for the different models will be correlated with exogenous variables, violating an error term assumption for such models. Then, alternative estimation methodologies are necessary, such as two-stage least squares and others discussed later in this chapter. 3. Some models may show double-headed arrows among error terms. These show the correlation between error terms, which is of no importance in estimating the beta coefficients. 4. In SPSS, survival analysis is available through the add-on module in SPSS Advanced Models. 5. The functions used to estimate probabilities are rather complex. They are so-called Weibull distributions, which are defined as h(t) = αλ(λt)a–1, where a and 1 are chosen to best fit the data. 6. Hence, the SSL is greater than the squared loadings reported. For example, because the loadings of variables in groups B and C are not shown for factor 1, the SSL of shown loadings is 3.27 rather than the reported 4.084. If one assumes the other loadings are each .25, then the SSL of the not reported loadings is [12*.252 =] .75, bringing the SSL of factor 1 to [3.27 + .75 =] 4.02, which is very close to the 4.084 value reported in the table. 7. Readers who are interested in multinomial logistic regression can consult on-line sources or the SPSS manual, Regression Models 10.0 or higher. The statistics of discriminant analysis are very dissimilar from those of logistic regression, and readers are advised to consult a separate text on that topic. Discriminant analysis is not often used in public
Evan M. Berman (Essential Statistics for Public Managers and Policy Analysts)
We encounter regression to the mean almost every day of our lives. We should try to anticipate it, recognize it, and not be fooled by it.
Gary Smith
Reformist–political, also called “Islamist” movements, may function as political parties in countries where there are democratic elections, or as opposition movements in countries ruled by authoritarian regimes. They may be national or international. Many of these movements call for the implementation of “shariʿa.” This is a political ideological slogan intended to rally support for the creation of a utopian, divinely governed Islamic state and society, often with the implication that a truly Islamic state would legislate regressive punishments and family regulations. What it means in practice is obscure because historically, Islamic law (fiqh) was and is variable and changeable.
Ira M. Lapidus (A History of Islamic Societies)
There are few statistical facts more interesting than regression to the mean for two reasons. First, people encounter it almost every day of their lives. Second, almost nobody understands it.
Gary Smith (Standard Deviations: Flawed Assumptions, Tortured Data, and Other Ways to Lie with Statistics)
There are four main predictive modeling techniques detailed in this book as important upstream O&G data-driven analytic methodologies: Decision trees Regression Linear regression Logistic regression Neural networks Artificial neural networks Self-organizing maps (SOMs) K-means clustering
Keith Holdaway (Harness Oil and Gas Big Data with Analytics: Optimize Exploration and Production with Data-Driven Models (Wiley and SAS Business Series))
If you have attributes that you could use less productively last year than you can this year (meaning you are more productive), then you have made progress. The opposite equates to regression.
Innocent Mwatsikesimbe (The Vision (Mere Reflections #3))
If being strict means forbidding what is dangerous, then, yes, be strict—but with compassion and always while respecting the child, who is an adult in progress. We must take the responsibility upon ourselves to restrict certain things because they are psychologically or physically dangerous. If we parents are not strict … our children will be forced to regress and censor themselves, or at least try to. There is nothing more debilitating for a child; he wastes all his energy in the effort.… If we are strict, our children may be furious, but they will conserve their energy.
Catherine Crawford (French Twist: An American Mom's Experiment in Parisian Parenting)
REGRESSION TO MEAN
Rolf Dobelli (The Art of Thinking Clearly)
If only,” he said. “If only there was some way to feel that way all the time.” “You couldn’t,” I said, without thinking. “Regression to the mean. The extraordinary always ends up feeling ordinary. Do it for long enough and it’d just be noise.” “You may be right. But I hope you’re not. Somewhere out there, there’s a thing so amazing that you can devote your life to it and never forget how special it is.
Cory Doctorow (Overclocked: More Stories of the Future Present)
Are you familiar with the notion of regression completeness?” She had heard the term somewhere, but couldn’t quite call up the meaning. “No.” “It’s the idea that however deeply you understand the universe, however many mysteries you solve, there will always be another, deeper mystery behind it.” “Ah.
Scott Hawkins (The Library at Mount Char)
Additionally, if you take RSS / TSS, you’ll obtain the percentage of the variability of the dependent variable around its mean that your model explains. This statistic is R-squared!
Jim Frost (Regression Analysis: An Intuitive Guide for Using and Interpreting Linear Models)
Based on the mathematical relationship shown above, you know that R-squared can range from 0 – 100%. Zero indicates that the model accounts for none of the variability in the dependent variable around its mean. 100% signifies that the model explains all of that variability.
Jim Frost (Regression Analysis: An Intuitive Guide for Using and Interpreting Linear Models)
This graph shows all the observations together with a line that represents the fitted relationship. As is traditional, the Y-axis displays the dependent variable, which is weight. The X-axis shows the independent variable, which is height. The line is the fitted line. If you enter the full range of height values that are on the X-axis into the regression equation that the chart displays, you will obtain the line shown on the graph. This line produces a smaller SSE than any other line you can draw through these observations. Visually, we see that that the fitted line has a positive slope that corresponds to the positive correlation we obtained earlier. The line follows the data points, which indicates that the model fits the data. The slope of the line equals the coefficient that I circled. This coefficient indicates how much mean weight tends to increase as we increase height. We can also enter a height value into the equation and obtain a prediction for the mean weight. Each point on the fitted line represents the mean weight for a given height. However, like any mean, there is variability around the mean. Notice how there is a spread of data points around the line. You can assess this variability by picking a spot on the line and observing the range of data points above and below that point. Finally, the vertical distance between each data point and the line is the residual for that observation.
Jim Frost (Regression Analysis: An Intuitive Guide for Using and Interpreting Linear Models)
SSE is a measure of variability. As the points spread out further from the fitted line, SSE increases. Because the calculations use squared differences, the variance is in squared units rather the original units of the data. While higher values indicate greater variability, there is no intuitive interpretation of specific values. However, for a given data set, smaller SSE values signal that the observations fall closer to the fitted values. OLS minimizes this value, which means you’re getting the best possible line.
Jim Frost (Regression Analysis: An Intuitive Guide for Using and Interpreting Linear Models)
correlation does not mean that the changes in one variable actually cause the changes in the other variable.
Jim Frost (Regression Analysis: An Intuitive Guide for Using and Interpreting Linear Models)
In the signs that bewilder the middle class, the aristocracy and the poor prophets of regression, we do recognise our brave friend, Robin Goodfellow, the old mole that can work in the earth so fast, that worthy pioneer — the Revolution. The English working men are the firstborn sons of modern industry. They will then, certainly, not be the last in aiding the social revolution produced by that industry, a revolution, which means the emancipation of their own class all over the world, which is as universal as capital-rule and wages-slavery. I know the heroic struggles the English working class have gone through since the middle of the last century — struggles less glorious, because they are shrouded in obscurity, and burked by the middleclass historian. " - Speech at anniversary of the People’s Paper, April 1856
Karl Marx
Why is the second novel by a breakout debut writer, or the second album by an explosively popular band, so seldom as good as the first? It's not, Or not entirely, because most artists only have one thing to say. It's because artistic success is an amalgam of talent and fortune, like every- thing else in life, and thus subject to regression to the mean.
Jordan Ellenberg (How Not to Be Wrong: The Power of Mathematical Thinking)
Why is the second novel by a breakout debut writer, or the second album by an explosively popular band, so seldom as good as the first? It's not, Or not entirely, because most artists only have one thing to say. It's because artistic success is an amalgam of talent and fortune, like everything else in life, and thus subject to regression to the mean.
Jordan Ellenberg
We know that everything that is anything is made from matter and energy being interrelated aspects of the same thing. The First Law of Thermodynamics tells us that energy can neither be created nor destroyed. However, if this is true, the obvious question is: what created it in the first place? It appears that either something had to have come from nothing, or something has always been. In the case that something has always been, if time can be in fact nonlinear and can infinitely regress in a loop, going backward on itself at the end of itself, it would be possible that there is no beginning or end of the universe at all, but a continuation of the same thing, as if the universe were breathing in and out, filling up its lungs with everything, and then emptying them back out, over and over. Or similarly, everything is, was, and will always be across space-time for all eternity. Every moment in time and location in space has a coordinate on the map of space-time and the map exists at all times at the same time, forever. However in both cases, if something has always been something where did that something come from. Who or what made it? How can anything be anything without having been made by something else? If the universe is entirely based on cause and effect, which appears to be, how could there be no first cause for there to be an effect. Alternatively, in what is known as quantum field theory, physicists have also found that particles known as virtual particles can come into existence from apparent nothingness. Which is to say, it is perhaps possible that a feature of nothing is to create something. However, if a feature of nothing is to create something, how can it be nothing? And if nothing isn’t nothing, what is it, and what made it? Even if one subscribes to the notion of a god, that’s fine, but that doesn’t resolve the question of where a god would have come from. Everything ultimately brings us back to the same question: How can anything come from nothing? Or something be infinite? And neither concept seem to concur with any human sensibilities, meaning there is some mystery of everything that our brains can’t seem to comprehend, as if the rules of the game were made of logic, but the reason for the game was made of something else. The only truth is, of course, no matter what anyone says or how they say it, nobody has any idea what’s going on beneath their feet, inside their brain, or above their head. Maybe at some point in the future, we, or some iteration of us, will know precisely how everything works and why with one little equation. Maybe Newton will be wrong and Einstein will be wrong and thousands of other Einsteins of the future will be wrong until someone somehow isn’t.
Robert Pantano