Statistical Analysis of Differences in Student Performance: Ethnicity and Course Sections

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Statistical Analysis of Differences in Student Performance: Ethnicity and Course Sections Research Question 1: Compare the different ethnicities of students in the course and determine if there a statistically significant difference in average Final Examination points between the different ethnicities? How would you report your conclusion to the instructor? Solution . As this is to compare with 5 population means, it would be appropriate to conduct a one - way ANOVA. Null hypothesis H0: 5 4 3 2 1      = = = = Alternative hypothesis Ha: one of 5 4 3 2 1 , , , ,      is different than others. We conduct a one - way ANOVA in SPSS, and obtain the following ANOVA summary table: ANOVA Final Course Percent Sum of Squares df Mean Square F Sig. Between Groups 650.210 4 162.552 1.108 .357 Within Groups 14665.447 100 146.654 Total 15315.657 104 The results suggest that the null hypothesis H0 is not rejected, 357 . , 108 . 1 ) 100 , 4 ( = = p F . So, there is no statistically significant difference in average Final Examination points between the different ethnicities . Research Question 2: Is there a statistically significant difference in total course points between the different sections of the course and whether the students are in the lower or upper division? Based on your results what conclusions would you report to the instructor?
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