In the multiple parameter case, this distribution is the limit of a statistic that sandwiches an “I inverse” term between two “theta-hat minus theta-zero” terms called the Wald statistic. In a theorem about convergence to this distribution, one parameter equals the difference in dimension between the full parameter space and the space associated with the null hypothesis. Twice the log-likelihood ratio converges to this distribution by Wilks’ theorem. The formula “rows minus one times columns minus one” gives the value of a parameter when computing a test statistic converging to this distribution, which sums values of “observed minus expected squared, all over expected” for each entry in a contingency table. For 10 points, what distribution names a large-sample hypothesis test for goodness-of-fit or independence? ■END■
ANSWER: chi-squared (“kye-squared”) distribution [reject “chi”]
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