Chapter 7 Pearson’s chi-square test
sample is multivariate normal, then [(n−k)/(nk−k)]T2 is distributed as F k,n−k. A Pearson chi square statistic may be shown to be a special case of Hotelling’s T2. ] (a) You may assume that S−1 n →P Σ−1 (this follows from the weak law of large numbers since P(S n is nonsingular) → 1). Prove that under the null hypothesis, T2 ...
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