Show that, for two populations, MSE = s2p, where s2p is the pooled variance defined in Section 10.2 on page 397. Conclude that √ MSE is the pooled sample standard deviation, sp. Suppose that x is a normally distributed variable on each of two populations and that the population standard deviations are equal. Then, for independent samples of sizes n1 and n2 from the two populations, the variable
Has the t-distribution with df = n1 + n2 − 2.
Answer to relevant QuestionsWe stated earlier that a one-way ANOVA test is always right tailed because the null hypothesis is rejected only when the test statistic, F, is too large. Why is the null hypothesis rejected only when F is too large? Fill in the missing entries in the partially completed one-way ANOVA tables. a. Compute SST, SSTR, and SSE by using the computing formulas given in Formula 13.1 b. Compare your results in part (a) for SSTR and SSE with those in Exercises 13.24–13.29, where you employed the defining formulas. c. ...In the publication “How Often Do Fishes ‘Run on Empty’?” (Ecology, Vol. 83, No 8, pp. 2145–2151), D. Arrington et al. examined almost 37,000 fish of 254 species from the waters of Africa, South and Central America, ...In the text Handbook of Biological Statistics (Baltimore: Sparky House Publishing, 2008), J. McDonald presented sample data on a shell measurement (the length of the anterior adductor muscle scar, standardized by dividing by ...
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