Problem of the Week: The Second Heads

QUESTION: A friend tosses two coins, and you ask “Is one of them a heads?”  The friend replies “Yes.” What is the probability that the other is a heads? ANSWER:   One-third.  There are four ways the coins could have landed originally: HH:  0.25 probability…

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Aug 13: Statistics in Practice

This week we discuss the distinction between explanatory and predictive modeling and spotlight the workhorses of statistical modeling: Oct 4 - Nov 1: Regression Analysis Oct 4 - Nov 1: Categorical Data Analysis See you in class! - Peter Bruce,  Chief Academic Officer, Author, Instructor, and Founder The Institute for Statistics Education at Statistics.com…

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Explain or Predict?

A casual user of machine learning methods like CART or naive Bayes is accustomed to evaluating a model by measuring how well it predicts new data.  When examining the output of statistical models, they are often flummoxed by the profusion of assessment metrics. Typical multiple…

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Intervals (confidence, prediction and tolerance)

All students of statistics encounter confidence intervals.  Confidence intervals tell you, roughly, the interval within which you can be, say, 95% confident that the true value of some sample statistic lies.  This is not the precise technical definition, but it is how people use the…

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