But this is a probability statement: "A 95% confidence interval is defined as a range of values such that with 95% probability, the range will contain the true unknown value of the parameter."? [http://www-bcf.usc.edu/~gareth/ISL/index.html …]
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That statement is incorrect too, although quite common. (https://link.springer.com/article/10.3758/s13423-013-0572-3 …)
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Here's the combined story of many consulting sessions I had about the topic: http://staff.math.su.se/hoehle/blog/2017/06/22/interpretcis.html …. At the end of the day it's more or less: "the width of the interval shows how much information could be gained about the parameter of interest". :-)
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I don’t think it’s the donkey (or related anatomical part) that has the problem.
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And public errata are honorable.
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In the spirit of the New Year, maybe give this poor statistician a break - even top talent drops the ball once in a while
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Great title. Thanks for the chuckle
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I’ll grant you the point on a textbook but I admit that sometimes I say on my blog that the probability is >95% because 97.5% is greater & I don’t think the average person reading my blog needs a tutorial in confidence limits each time
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I've hear this (incorrect) description of confidence intervals all the time. People assume something so widely reported must be more useful and relevant than the true confidence interval definition.
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