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. For two random variables X and Y, the expected value of X times Y minus the product of the expected values of X and Y gives this quantity’s “co-” form. (10[1])This quantity is the second central moment of a distribution, and is equal to the mean for a Poisson (“pwa-SAWN”) distribution. For a random variable X, this quantity is the (-5[1])[read slowly] expected value of X squared, minus the square of the expected value of X. For 10 points, the square of the standard deviation (-5[1])is equal to what measure of spread? ■END■ (10[1]0[2])

ANSWER: variance [accept uniformly minimum-variance unbiased estimator; accept minimum-variance unbiased estimator; accept analysis of variance; accept covariance]
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= Average correct buzz position

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Buzzes


Summary

TournamentEditionTUHConv. %Neg %Average Buzz
UK (North)UK5100%20%83.80
UK (South)UK7100%29%76.14
Northern CaliforniaUS4100%25%72.00
Southern CaliforniaUS7100%29%75.00
Eastern Canada (1)US5100%0%84.40
Eastern Canada (2)US989%22%83.25
FloridaUS450%50%102.00
Great LakesUS12100%17%83.00
Lower Mid-AtlanticUS9100%0%79.56
Upper Mid-AtlanticUS10100%40%86.30
Upper Mid-AtlanticUS1100%0%74.00
MidwestUS989%22%80.00
NorthUS4100%0%66.25
NortheastUS11100%18%82.00
PacificUS8100%25%88.88
SoutheastUS1392%23%95.33
Upstate NYUS6100%0%96.67