n a completely randomized design for ANOVA, the numerator and denominator degrees of freedom are 4 and 25, respectively. The total number of observations must equal:
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7. In a completely randomized design for ANOVA, the numerator and denominator degrees of freedom are 4 and 25, respectively. The total number of observations must equal:
a. 24
b. 25
c. 29
d. 30
8. How does conducting multiple t-tests compare to conducting a single F-test?
a. Multiple t-tests increases the chance of a Type I error.
b. Multiple t-tests decreases the chance of a Type I error.
c. Multiple t-tests does not affect the chance of a Type I error.
d. This comparison cannot be made without knowing the number of populations.
9. One-way ANOVA is applied to independent samples taken from three normally distributed populations with equal variances. Which of the following is the null hypothesis for this procedure?
a. µ1 + µ2 + µ3 = 0
b. µ1 + µ2 + µ3 ≠ 0
c. µ1 = µ2 = µ3 = 0
d. µ1 = µ2 = µ3
- Consider the following partial ANOVA table:
|
Source of Variation |
SS |
df |
MS |
F |
|
Treatments |
75 |
* |
25 |
6.67 |
|
Error |
60 |
* |
3.75 |
|
|
Total |
135 |
19 |
The numerator and denominator degrees of freedom for the F-test (identified by asterisks) are
a. 4 and 15
b. 3 and 16
c. 15 and 4
d. 16 and 3
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