A study of undergraduate computer science students examined changes in major aft
ID: 3172331 • Letter: A
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 mean SAT mathematics scores for the students are summarized in the following table.
Summarize the results of this study using appropriate plots and calculations to describe the main effects and interaction.
Major Gender CS EO O Males 628 618 589 Females 582 631 543Explanation / Answer
Because it is two way ANOVA without replicates, there is no interaction
Anova: Two-Factor Without Replication SUMMARY Count Sum Average Variance Males 3 1835 611.6666667 410.3333333 Females 3 1756 585.3333333 1944.333333 CS 2 1210 605 1058 EO 2 1249 624.5 84.5 O 2 1132 566 1058 ANOVA Source of Variation SS df MS F P-value F crit Rows 1040.166667 1 1040.166667 1.79287561 0.312471383 18.51282051 Columns 3549 2 1774.5 3.058603849 0.246390147 19 Error 1160.333333 2 580.1666667 Total 5749.5 5Because it is two way ANOVA without replicates, there is no interaction
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