Redo Exercise 7 from Chapter 7 as a one-way RM ANOVA. What is the relationship between the F ratio you calculated for this exercise and the t value you calculated for that exercise?

Data from exercise 7 (chapter 7)

An educational psychologist has developed a new textbook based on programmed instruction techniques and wishes to know if it is superior to the conventional kind of textbook. He therefore obtains participants who have had no prior exposure to the material and forms two groups: an experimental group, which learns via the programmed text, and a control group, which learns via the old-fashioned textbook. The psychologist is afraid, however, that differences among participants in overall intelligence will lead to large error terms. Therefore, he matches his participants on intelligence and forms 10 pairs such that each pair is made up of two people roughly equal in intelligence test scores. After both groups have learned the material, the psychologist measures the amount of learning by means of a 10-item quiz. The results are as follows:

Transcribed Image Text:

Experimental group||Control group Pair (programmed text) (standard text) 3 5 4 5 3 4 15 6. 10 10 6. 3. 3. 3.