With reference to the notation on page 432, show that
Answer to relevant QuestionsFor the two-way analysis of variance with a treatments and b blocks, show that Find the probability that n1 = 6 letters of one kind and n2 = 5 letters of another kind will form at least 8 runs. Show that under the null hypotheses of Section 16.3, T+ is a value of a random variable whose distribution is symmetrical about n(n + 1)/4 . With reference to the data on page 460 and Example 16.6, calculate U as defined in Exercise 16.8 and verify that it equals the value obtained for U1. The theory of runs may also be used as an alternative to the rank- sum test of Section 16.4, that is, the test of the null hypothesis that two independent random samples come from identical continuous populations. We simply ...
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