Suppose that, in the two-way analysis of variance setup with one observation per cell, there are just two groups. Show in this case that the F ratio for testing the equality of the group population means is precisely the square of the test-statistic discussed in Section 10.1 for testing equality of population means, given a sample of matched pairs. Hence, deduce that the two tests are equivalent in this particular case.
Answer to relevant QuestionsConsider an experiment with treatment factors A and B, with factor A having four levels and factor B having three levels. The results of the experiment are summarized in the following analysis of variance table. Compute the ...A psychologist is working with three types of aptitude tests that may be given to prospective management trainees. In deciding how to structure the testing process, an important issue is the possibility of interaction ...Carefully distinguish between the one-way analysis of variance framework and the two-way analysis of variance framework. Give examples different from those discussed in the text and exercises of business problems for which ...Three suppliers provide parts in shipments of 500 units. Random samples of six shipments from each of the three suppliers were carefully checked, and the numbers of parts not conforming to standards were recorded. These ...Refer to Exercise 15.66 and consider the observation on moderate-income group and high SAT score (x21 = 218). a. Estimate µ. b. Estimate and interpret G2. c. Estimate and interpret B2. d. Estimate ε22.
Post your question