3. The sets of numbers given below in each table cell were obtained from the table of random numbers, Table J, in Appendix D. There are 6 table cells, one at the intersection of each combination of the levels of Factor A and Factor B, e.g., the cell located at the intersection of Factor ALevel 1 and Factor BLevel 1 contains the numbers 7, 5, 6, 4, 6.

a. Use SPSS and do a two-way independent groups ANOVA with 0.05 to determine if there are any signifi cant main or interaction effects.

b. Add a constant of 3 to each score in row 1(Level 1 row of Factor A in the above data table). This process is analogous to what concerning a main or interaction effect? Compute the two-way analysis of variance again, and explain any differences between this result and that of part a.

c. Using the original scores, add a constant of 3 to each score in column 2 (Level 2) and a constant of 6 to each score in column 3 (Level 3). This process is analogous to what concerning a main or interaction effect? Compute the two-way analysis of variance again, and explain any differences between this result and that of part a.

d. Using the original scores, add a constant of 3 to all the scores of cell 11 (the scores in the cell at the intersection of Factor ALevel 1 and Factor BLevel 1)
of the above data table. The original scores in this cell are 7, 5, 6, 4, 6. This process is analogous to what concerning a main or interaction effect? Compute the two-way analysis of variance again, and explain any differences between this result and that of part a.

Factor B Factor A Level 1 Level 2 Level 3 Level I 7 5 5 7 6 3 4 4 6 Level 2 2 4 227457 6 2 6 8 0 1 8 45500 8 4 2