Question

QUESTION 19 10 points in a one way ANOVA if the variance of the first treatment mean is 0.2, what is the variance of the second treatment mean? (Assume all assumptions are met for this ANOVA) O Greater than the variance for the first treatment mean O We cannot know without the data used in the ANOVA O The same as the variance for the first treatment mean O Less than the variance for the first treatment mean QUESTION 30 Which of the following factor variables would represent a fixed effect in a one-way O A factor variable with levels of randomly chosen production l O A factor variable with levels consisting of two alternative part designs that we want O A factor variable with levels of randomly chosen work days over the course of one month O A factor variable with level of randomly chosen workers at plant. lots off an assembly line.

Answer 1

19)

We have an assumption for One way ANOVA ie homogeneity: the variance of the dependent variable must be equal in each subpopulation.

Thus we assume the variance of the second treatment mean also to be equal to the first treatment mean.

20)

In one-way fixed effects ANOVA model we have a single 'treatment' factor (= group) with several levels, and replicated observations at each level. We are interested in comparing the means of the observations between the different levels. The levels being compared are fixed by the researcher, rather than being chosen at random.

So

B) A factor variable with levels consisting of two alternative part designs that we want to compare is the right answer, as we have two levels which are fixed by the researcher and not random.