The table below shows the ANOVA summary for a study examinin

The table below shows the ANOVA summary for a study examining whether there is an effect of teaching method (Factor A, online or traditional teaching) and/or subject (Factor B, mathematics or social studies) on test scores.

Online

Traditional

F_obs significance

Math

85

95

Factor A (teaching method) p<0.05

Factor B (subject) p<0.05

Interaction AxB p<0.05

Tukey CD = 4

Social Studies

87

86

What is the effect of teaching method on test scores in math and is this effect significant? What is the effect of teaching method on test scores in social studies and is this effect signifiant?

Solution

The effect of teaching method on test scores in math is significant. When we test whether the effect of a factor is significant or not we look forward to the corresponding p-value which gives the probability that the test statistic gives a value atleast as extreme as the that one is observed under null hypothesis. If the p-value<level of significance the null hypothesis(or the one which states that there is no significance difference) is rejected and the significance of the treatments is accpeted. Here we can see the p-value for the interaction (AxB in question) <0.05 the level of significance. Hence the effect of teaching method is significant in both the cases for math and social studies.