The personnel officer of a company is interested in what type of relationship exists between the educational background of 507 employees and their reading speed. In making a study of this problem, he uses the following educational classes: A1: high school not completed; A2: high school completed but no college; A3: some college but no degree; A4: a college degree. His experiment consists of selecting samples of 10 employees from each educational class and measuring their reading speed. The data obtained is given in Table 31.14. Each observation is represented by Yij, where denotes the educational class and j denotes the th observation in that class.
Test the hypothesis that the reading speeds are the same for all levels of education. If this hypothesis is discarded, divide the four levels into as many different groups as the least significant different approach might indicate.
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