
Concept explainers
Complete the F table for the given study.

Answer to Problem 24CAP
The completed F table is,
Source of Variation | SS | df | MS | |
Exam | 190 | 2 | 95 | 6.33 |
Student Class | 60 | 3 | 20 | 1.33 |
Exam | 540 | 6 | 90 | 6.00 |
Error | 1,620 | 108 | 15 | |
Total | 2,410 | 119 |
Explanation of Solution
Calculation:
From the information given that, the study of grades for each participants are considered in which the students of four categories from local college were freshmen, sophomores, juniors, and seniors. That is,
The formulas for computing the F table are,
Source of Variation | SS | df | MS | |
Factor A | ||||
Factor B | ||||
Error (within groups) | ||||
Total |
Substituting
The sum of squared for main effect exam is 190.
Substituting
The degrees of freedom for main effect student class are 3.
Substituting
The mean square for main effect student class is 20.
Substituting
The degrees of freedom for interaction exam
Substituting
The mean square for exam
Substituting
The degrees of freedom for error are 108.
Substituting
The sum of squared for error is 1,620.
Substituting
The mean square for error is 15.
Substituting
The total degrees of freedom are 119.
Substituting
The F obtained value for exam is 6.33.
Substituting
The F obtained value for student class is 1.33.
Substituting
The F obtained value for interaction is 6.00.
The completed F table is,
Source of Variation | SS | df | MS | |
Exam | 190 | 2 | 95 | 6.33 |
Student Class | 60 | 3 | 20 | 1.33 |
Exam | 540 | 6 | 90 | 6.00 |
Error | 1,620 | 108 | 15 | |
Total | 2,410 | 119 |
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Chapter 14 Solutions
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