Question

Source of Variance              SS                   df         MS                  F                      Sig

Program                                 .375                1          .375                .114                .740

Time                                       230.79            3          76.93              23.37              .00

Program x Time                   5.12                3          1.70                .519                .675

Error                                       52.66              16        3.29

Total                                       665                 24

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In three sentences (one for each result) report what these results mean. Follow your sentences with your results in APA style including η² and evaluation (you will need to calculate η² by hand for each result. Remember that η² = SS /SS + Error, so for η² for program you will calculate SS program/SS program + SS error

Answer 1

The main effect of the program:

Ho1: the main effect of the program is not significant. V/2 h11: the main effect of the program is significant. With (F= .114, P>5%), the null hypothesis is not rejected at 5% level of significance. I can conclude that the main effect of the program is not significant.

The main effect of time:

Ho1: the main effect of the time is not significant. V/2 h11: the main effect of the time is significant. With (F= 23.37, P<5%), the null hypothesis is rejected at 5% level of significance. I can conclude that the main effect of the time is significant.

The interaction effect:

Ho1: the interaction effect is not significant. V/2 h11: the interaction effect is significant. With (F= .519, P>5%), the null hypothesis is not rejected at 5% level of significance. I can conclude that the interaction effect of the time is not significant.

Effect size:

eta square _ program = SSprogram / (SSprogram + SSerror) = 0.375/(0.375+52.66) = 0.007070802 -> small effect

eta square _ time = SStime / (SStime + SSerror) = 230.79/(230.79+52.66) = 0.814217675 -> large effect

eta square _ interaction = SSinteraction / (SSinteraction + SSerror) = 5.12/(5.12+52.66) = 0.088611976 -> small effect