Jews From The United States

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April 10, 2026

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April 10, 2026

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"I placed too much faith in underpowered studies. As pointed out in the blog, and earlier by Andrew Gelman, there is a special irony in my mistake because the first paper that Amos Tversky and I published was about the belief in the “law of small numbers,” which allows researchers to trust the results of underpowered studies with unreasonably small samples. We also cited Overall (1969) for showing “that the prevalence of studies deficient in statistical power is not only wasteful but actually pernicious: it results in a large proportion of invalid rejections of the null hypothesis among published results.” Our article was written in 1969 and published in 1971, but I failed to internalize its message. My position when I wrote “Thinking, Fast and Slow” was that if a large body of evidence published in reputable journals supports an initially implausible conclusion, then scientific norms require us to believe that conclusion. Implausibility is not sufficient to justify disbelief, and belief in well-supported scientific conclusions is not optional. This position still seems reasonable to me – it is why I think people should believe in climate change. But the argument only holds when all relevant results are published. I knew, of course, that the results of priming studies were based on small samples, that the effect sizes were perhaps implausibly large, and that no single study was conclusive on its own. What impressed me was the unanimity and coherence of the results reported by many laboratories. I concluded that priming effects are easy for skilled experimenters to induce, and that they are robust. However, I now understand that my reasoning was flawed and that I should have known better. Unanimity of underpowered studies provides compelling evidence for the existence of a severe file-drawer problem (and/or p-hacking). The argument is inescapable: Studies that are underpowered for the detection of plausible effects must occasionally return non-significant results even when the research hypothesis is true – the absence of these results is evidence that something is amiss in the published record..."

- Daniel Kahneman

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"I want to tell you why I did this. My mother was the first one to tell me about the Statue of Liberty. She saw at first from the deck of the ship that brought her to America: she was an immigrant. She impressed upon me how precious our liberty is and how easily it can be lost. And then one day it occurred to me that I could show with magic how we take our freedom for granted. Sometimes we don't realize how important something is until it's gone. So I asked our government for permission to let me make the Statue of Liberty disappear... just for a few minutes. I thought that if we faced emptiness where, for as long as we can remember, that great lady is, lifted up our land, why then... we might imagine what the world would be like without liberty and we realize how precious our freedom really is. And then I will make the Statue of Liberty reappear, by remembering the world that made it appear in the first place. The world is freedom. Freedom is the true magic. It's beyond the power of any magician. But wherever one human being guarantees another the same rights he or she enjoys, we find freedom. [The curtain between the live audience and the Statue of Liberty used to hide the secret of its disappearance is raised] How long can we stay free? But just as long as we keep thinking, and speaking, and acting as free human beings. Our ancestors just couldn’t. We can. And I will show you the way. Nooooow! [The curtain is lowered and the Statue of Liberty reappears]"

- David Copperfield (illusionist)

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