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William M. Briggs

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Posted inPhilosophy Statistics

The Lady Tasting Tea: Bayes Versus Frequentism; Part II (update)

Read Part I: Again, the text (up to this part) has been corrected and expanded. Recall our overarching---our only---goal. We want to know whether the sweet old lady "has the…
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Posted inPhilosophy Statistics

The Lady Tasting Tea: Bayes Versus Frequentism; Part I (updated)

Since the subject arose yesterday, and for other reasons which I'll explain later, I thought we should revisit this series, which ran a year ago. I have edited and expanded…
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Posted inPhilosophy Statistics

The Jeffreys-Lindley Paradox Isn’t

Background A paradox is a mistake in thinking; an artificial, human creation which usually arises because a conclusion which follows from a set of beloved premises is itself unloved. Twitter…
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Posted inFun Statistics

Scratch-off Lottery Tickets: Expected Payouts, A Hidden Benefit?

Update See the comments, but thanks to readers' arguments I believe I was wrong in an essential calculation. I've reworked the text to correct my error, which was small in…
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Posted inPhilosophy Statistics

What Is Cause? — Guest Post by DAV

Regular readers will recognize DAV as a regular contributer whose humorous voice of reason has kept many conversations on target. Today he presents ideas to spur a discussion of causality,…
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Posted inFun

Mathematical Magic Trick: 8 4-Digit Numbers Summing To 35712?

From reader Noble Abraham comes this question: Is it possible to create a pool of distinct four digit numbers, so that the sum of 8 randomly chosen numbers from this…
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Posted inPhilosophy Statistics

Let’s Try This Time Series Thing Again: Part V

Part I, II, III, IV, V. We started by assuming each X was measured without error, that each observation was perfectly certain. This is not always so for real X.…
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Posted inPhilosophy Statistics

Let’s Try This Time Series Thing Again: Part IV

Part I, II, III, IV, V. We have before us X1 to X156. We started by assuming that something, called T, caused these data to take the values it did.…
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