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The purpose of this study was to examine the effects of computer assisted instructional material prepared in R programme, on eight grade students' permutation-combination and probability achievement and attitudes towards computer assisted learning. In this study, we have survey data for 74 randomly selected students which consists of 45 highly correlated explanatory variables with different measurement levels to model whether CAI material has been effective or not. For data reduction, we firstly presented pairwise comparison between schools and as a second method, we presented Categorical Principal Components Analysis to deal with multicollinearity problem among explanatory variables. Next, we used uncorrelated components instead of original correlated variables to fit regression model. While the program CATPCA in SPSS has been used in the analysis of data reduction, MINITAB 17 has been used in the analyses of linear models.