The comparison of the ordinal logistic model with the classical regression model

Abstract

Abstract This research’s aims was to provide an alternative for statistical user who were interested in analysing the functional relationship between ordinal response and explanatory variable. The data used was the data of Students on Generation 2017 JPMIPA FKIP Bengkulu University. The test statistic from the modified probability ratio in ordinal logistic had a higher test power than the F test in the classical linear regression. Overall the probability of rejection of ordinal logistic tended to be lower than the classical regression. At condition of p close to one, the test power of the ordinal logistic would be the same as the classical regression. Ordinal logistic model tended to be more selective in choosing variables that significantly affect the response, resulting in a simpler model than the classical regression. The results of the research with the classical linear model obtained variables that influence the student GPA were UN score, High School Report, UNIB admission pathway, High School Status and interaction of UN Score and High School Status. While the ordinal logistic model produced influential independent variables were the UN Score, High School Report, High School Status and the interaction of UN Score and High School Status.