Tossup

This quantity is minimized for an unbiased estimator that is a function of a complete and sufficient statistic by the Lehmann–Scheffé (“LAY-man shef-FAY”) theorem. Ronald Fisher developed a test that generalizes the t-test to more than two groups named for the “analysis of” this quantity. (10[1]-5[2])For two (10[1])random variables X and Y, (-5[1])the expected value of X times Y minus the product of the expected values of X and Y gives this quantity’s (10[1])“co-” form. (10[1])This (10[1])quantity (10[2])is the second central moment of a distribution, and is equal to the mean for a Poisson (“pwa-SAWN”) distribution. (10[1])For a random variable X, this quantity is the [read slowly] expected (-5[1])value of X squared, minus the square of the expected value of X. For 10 points, the square of the standard deviation is equal to what measure of spread? ■END■ (10[3])

ANSWER: variance [accept uniformly minimum-variance unbiased estimator; accept minimum-variance unbiased estimator; accept analysis of variance; accept covariance]
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