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2. As Table below are changes scores for students who were randomly assigned to

ID: 3314678 • Letter: 2

Question

2. As Table below are changes scores for students who were randomly assigned to four different instruction programs. Using the dummy variable method, how would you perform analysis of variance on this data. No calculation needed just explanation.

program 1             program 2        program 3        program 4

       10                        12                       8                            10

       8                            7                        9                             9

      11                         10                      10                          8

       7                          14                      11                            7

       9                            8                        9                             6

      13                         11                       7                              5

      10                           9                     13                            4

      12                          13                    10                             3

Explanation / Answer

Introduce a factor X and X=(i-1) for program i.Now if you pool the data and in a vector store there factor levels and treat the vector as a factor vector and then if you regress the data on the factor vector,then the resulting analysis will be ANOVA