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Posted inPhilosophy Statistics

The Applicability Of Experiments

Every probability problem has the form Pr(Q|E), where Q is the proposition of interest and E the evidence, premises, or "data" probative (or not) of E. Change the evidence, change…
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Posted inPhilosophy Statistics

The Deadly Sin Of Reification! Day Three

Zeno Phobia Counting day. How many ways can you skin a cat if the number of sharp versus dull knives is this and such. Simple stuff, easy to get the…
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Posted inPhilosophy Statistics

Tautology Tautology: Day Two Teaching

Since probability is the completion---we do not say "branch"---of logic, and logic is the science of the relations between propositions, probability is also the study of the relations between propositions.…
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Posted inPhilosophy Statistics

I Was Wrong About Axioms: Day One Teaching

I was wrong about how belief in axioms are held. I was not wrong about the beliefs themselves, which is to say, the axioms which we all know and love…
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Posted inPhilosophy Statistics

Nine Counter-Arguments To Frequentism

It is well to collect cogent proofs of frequentism's failings so that supporters of that theory can look upon them and find joy. Alan Hájek has done yeoman service in…
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Posted inPhilosophy Statistics

There Is No Such Thing As Intrinsic Probability

This is less fun than looking at the so-called principle of indifference, which you must read first, and I realize we're wading into the depths and on a Friday, but…
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Posted inPhilosophy Statistics

What That Spurious Correlation Website Tells Us About Statistics

Many (thanks!) readers sent links to Tyler Vigen's Spurious Correlations, whose motto is "Discover a new correlation - an interesting spurious correlation each day!" My favorite is tying the yearly…
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Posted inPhilosophy Statistics

Frequentists Are Closet Bayesians: Confidence Interval Edition

Actually, all frequentists and Bayesians are logical probabilists, but if I put that in the title, few would believe it. A man might call himself an Anti-Gravitational Theorist, a science…
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  1. Darin Johnson on Class 70: Most Claims Of “Controlled For” Are Wrong: The Right WayNovember 9, 2025

    Thank you for your answer, Professor. So the prediction interval is useful for predicting the number of failures among the…

  2. Briggs on Class 70: Most Claims Of “Controlled For” Are Wrong: The Right WayNovember 8, 2025

    Darin, There is no interval around a probability (with esoteric exceptions not of interest to us). All your evidence is…

  3. Darin Johnson on Class 70: Most Claims Of “Controlled For” Are Wrong: The Right WayNovember 8, 2025

    I'm struggling to extrapolate this to the case when the thing I'm estimating is a probability. Let's say I observe…

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