Question

A random sample of 30 colleges has been taken and, for each college, average growth in student population over the past five years has been calculated. The colleges are divided into four types by size and funding source.

Small       Large     Small      Large

Private     Private    Public    Public

1              2             4            2

-2              0             3            3                                  

0             -1           -2            0

-1              0             5            4

-2              7             8            6

5              4             4           -1

1              0             5            2

2              2

a) Is there a significant difference in growth rate by type of college? (Set α=.05 level) (10 points)

b) If yes, show how they differ. (10 points)

Answer 1

One-way ANOVA: Growth rate versus Type of college

Source DF SS MS F P
Type of college 1 0.03 0.03 0.00 0.948
Error 28 218.93 7.82
Total 29 218.97

The p-value of ANOVA test =0.948>0.05 so we conclude that there is insignificant difference in growth rate by type of college.

b. Since there is insignificant difference in growth rate by type of college so no need to perform post hoc test.

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