Question: answer the question A contrast expresses an effect in the population as a combination of population means, of the form 1 = E ai Mi.
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A contrast expresses an effect in the population as a combination of population means, of the form 1 = E ai Mi. The contrast (c) can be estimated or tested using the sample data. Let Sp be squared root of MSE from the ANOVA. Which of the following statements about or properties of contrasts is FALSE? A. The corresponding sample contrast is c = Zai xi. B. The coefficients of the contrast must sum to one, E a; = 1. C. The standard error of a sample contrast is given by SEc = Sp EM. To test the hypothesis that the population contrast y = 0, the test statistic is - which follows the t distribution with dferror associated with D. Sp from the ANOVA. E. The confidence interval for y takes the form c It*SEc where t* is the appropriate value of the t(dferror) distribution
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