A study of undergraduate computer science students examined changes in major aft

Question

A study of undergraduate computer science students examined changes in major after the first year. The study examined the fates of 256 students who enrolled as first-year students in the same fall semester. The students were classified according to gender and their declared major at the beginning of the second year. For convenience we use the labels CS for computer science majors, EO for engineering and other science majors, and O for other majors. The explanatory variables included several high school grade summaries coded as 10 = A, 9 = A-, etc. Here are the mean high school mathematics grades for these students.
Major
Gender   CS   EO   O
Males   8.68   8.35   7.65
Females   9.11   9.36   8.04
Describe the main effects and interaction using appropriate graphs and calculations.

Explanation / Answer

Using Excel:

Sol)

Anova: Two-Factor Without Replication SUMMARY Count Sum Average Variance M 3 24.68 8.226667 0.276633 F 3 26.51 8.836667 0.491633 CS 2 17.79 8.895 0.09245 EO 2 17.71 8.855 0.51005 O 2 15.69 7.845 0.07605 ANOVA Source of Variation SS df MS F P-value F crit Rows 0.55815 1 0.55815 9.271595 0.093048 18.51282 Columns 1.416133 2 0.708067 11.7619 0.078358 19 Error 0.1204 2 0.0602 Total 2.094683 5

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