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William M. Briggs

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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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Posted inPhilosophy Statistics

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

Part I, II, III, IV, V. The objection which will occur to those, Lord help them, who have had some statistical training is that "increased" means a combination of "linear…
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Posted inPhilosophy Statistics

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

Part I, II, III, IV, V. Before us are the observations X1 to X156. Recall we are assuming that each of these X has been measured without any error. Given…
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Let’s Try This Time Series Thing Again: Part I
Posted inStatistics

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

This series originally began 5 February 2012. Part I, II, III, IV, V. We've gone on and on about how to think about time series, but we are having trouble…
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    No news source is perfect. Fox openly owns their conservative point of view. NPR lies about being unbiased. Even with…

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    Around 2013, I obtained all death certificate data from the state of California for the years 2000-2012. I posted on…

  4. Briggs on Sports Betting Is An Excellent Way To Lose MoneyJanuary 13, 2026

    Anon. I believe you'll find they are the same. I did a little shorthand by first taking the absolute value…

  5. Anonymous on Sports Betting Is An Excellent Way To Lose MoneyJanuary 13, 2026

    Errata: your moneyline formula should have (x - 100) in the denominator for -x.

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