Multinomial Logistic Regression. 3 or more groups Students in Engineering at ECU 1.Persisters – still in the program after 2 years 2.Left in Good Standing.

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Presentation transcript:

Multinomial Logistic Regression

3 or more groups Students in Engineering at ECU 1.Persisters – still in the program after 2 years 2.Left in Good Standing (GPA  2.00) 3.Left in Poor Standing (GPA < 2.00)

Predictor Variables SAT Scores (Verbal and Quantitative) ALEKS Scores – calculus readiness High School GPA NEO Five-Factor Inventory (5 variables) Nowicki–Duke Locus of Control (high = external)

Standardize Predictors

Analyze, Regression, Multinomial Logistic

Ask for a classification table

Output Case Processing Summary N Marginal Percentage Groups Poor6826.6% Good8533.2% Stay % Valid %

Model Fitting Information Model Model Fitting CriteriaLikelihood Ratio Tests -2 Log LikelihoodChi-SquaredfSig. Intercept Only Final

Pseudo R-Square Cox and Snell.274 Nagelkerke.310 McFadden.148

Likelihood Ratio Tests Effect Model Fitting Criteria Likelihood Ratio Tests -2 Log Likelihood of Reduced Model Chi-SquaredfSig. Intercept ZMSAT ZVSAT ZHSGPA ZALEKS ZLOC ZNEOOpen ZNEOC ZNEOE ZNEOA ZNEON

k-1 sets of coefficients Earlier we designated the reference group to be that with the highest code, the persisters. Each of the other two groups will be contrasted with that group.

Groups a B Std. Error WalddfSig.Exp(B) Poor Intercept ZMSAT ZVSAT ZHSGPA ZALEKS ZLOC ZNEOOpen ZNEOC ZNEOE ZNEOA ZNEON Those who left in poor standing versus those who persisted.

Groups a B Std. Error WalddfSig.Exp(B) Good Intercept ZMSAT ZVSAT ZHSGPA ZALEKS ZLOC ZNEOOpen ZNEOC ZNEOE ZNEOA ZNEON

Classification Observed Predicted PoorGoodStay Percent Correct Poor % Good % Stay % Overall Percentage28.9%25.4%45.7%58.6%

REGWQ Variable GroupConscientiousnessHS GPAALEKSMath SAT Persisting33.23 A 3.21 A A A LGS32.24 A 3.14 A B B LPS28.21 B 2.94 B B B Note: Within each column, means sharing a superscript are not significantly different from each other. N = 256. A Posteriori Pairwise Comparisons Between Group Means.

Presenting the Results Please see the associated document.the associated document