Which of the following is not a required condition for one-way ANOVA?
a. The sample sizes must be equal.
b. The populations must all be normally distributed.
c. The population variances must be equal..
d. The samples for each treatment must be selected randomly and independently.
e. None of these.
Q. 2In an ANOVA test, the test statistic is F = 6.75 . The rejection region is F > 3.97 for the 5 level of significance, F > 5.29 for the 2.5 level, and F > 7.46 for the 1 level. For this test, the p-value is:
a. greater than 0.05
b. between 0.025 and 0.05
c. between 0.01 and 0.025
d. approximately 0.05
e. less than 0.01
Q. 3The test statistic of the single-factor ANOVA equals:
a. sum of squares for treatments / sum of squares for error
b. sum of squares for error / sum of squares for treatments
c. sum of squares for error / mean square for error
d. mean square for treatments / mean square for error
e. mean square for error / mean square for treatments
Q. 4In one-way ANOVA, the amount of total variation that is unexplained is measured by:
a. the sum of squares for treatments
b. the sum of squares for error
c. the total sum of squares
d. the degrees of freedom
e. none of these
Q. 5Which of the following statements is false?
a. The sum of squares for treatments (SST) explains some of the variation.
b. The sum of squares for error (SSE) measures the amount of variation that is unexplained.
c. The total sum of squares Total SS = SST + SSE.
d. The total sum of squares Total SS measures the amount of variation within the samples.
e. The sum of squares for treatments (SST) explains some of the variation and the total sum of squares Total SS = SST + SSE.
Q. 6In a one-way ANOVA, which of the following statements is true?
a. The sample sizes must be equal.
b. The mean squares for treatments (MST) will be larger than the mean squares for error (MSE) if the null hypothesis is rejected.
c. The population means are all equal.
d. All of these.
e. None of these.
Q. 7Which of the following statements is true in a one-way ANOVA?
a. The critical value of the test will be a value obtained from the F-distribution.
b. If the null hypothesis is rejected, it may still be possible that two or more of the population means equal.
c. The degrees of freedom associated with the sum of squares for treatments is equal to one less than the number of populations.
d. All of these.
e. None of these.
Q. 8In any ANOVA test, whenever the computed F statistic:
a. falls short of a chosen critical value of F, the null hypothesis of equal population means should be rejected
b. falls short of a chosen critical value of F, the alternative hypothesis of unequal population means should be accepted
c. exceeds a chosen critical value of F, the null hypothesis of equal population means should be rejected
d. exceeds a chosen critical value of F, the null hypothesis of equal population means should be accepted
e. falls short of a chosen critical value of F, the alternative hypothesis of equal population means should be rejected
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