9Variance of Evidence II

As I wrote at the end of Chapter 6, “the uncertainty due to variance (img) is incorporated into various statistical formulas.” Notice how the “trick” formula incorporates variance.

equation

Recall that when img gets either smaller or larger than 0.5, then the proportion variance img gets smaller. In the “trick” formula, the term img is in the numerator, and so as img decreases or increases from 0.5, then the standard error img decreases and so margin of error decreases. As variance decreases, uncertainty decreases and the confidence interval can narrow its focus.

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