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Unformatted text preview: 14: ANALYSIS OF VARIANCE MULTIPLE CHOICE QUESTIONS In the following multiple-choice questions, please circle the correct answer. 1. In one-way ANOVA, the amount of total variation that is unexplained is measured by the: a. sum of squares for treatments b. sum of squares for error c. total sum of squares d. degrees of freedom ANSWER: b 2. The 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. Mean square for treatments / Mean square for error d. Mean square for error / Mean square for treatments ANSWER: c 3. Which 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. SS(Total) = SST + SSE d. SS(Total) measures the amount of variation within the samples. ANSWER: d 4. In one-way ANOVA, suppose that there are four treatments with 5 1 = n , 6 2 = n , 5 3 = n , and 4 4 = n . Then the rejection region for this test at the 5% level of significance is a. F &gt; 0.025,4,20 F b. F &gt; 0.05,4,20 F c. F &gt; 0.025,3,16 F d. F &gt; 0.05,3,16 F ANSWER: d 5. In an ANOVA test, the test statistic is F = 6.75. The rejection region is F &gt; 3.97 for the 5% level of significance, F &gt; 5.29 for the 2.5% level, and F &gt; 7.46 for the 1% level. For this test, the p- value is Analysis of Variance a. greater than 0.05 b. between 0.025 and 0.05 c. between 0.01 and 0.025 d. approximately 0.05 ANSWER: c 6. In a two-tail pooled-variance t-test (equal-variances t-test), the null and alternative hypotheses are exactly the same as in one-way ANOVA with a. exactly one treatment b. exactly two treatments c. exactly three treatments d. any number of treatments ANSWER: b 7. 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 ANSWER: a 8. The following equation applies to which ANOVA model? SS(Total) = SS(A) + SS(B) + SS(AB) + SSE a. One-way ANOVA b. Two-way ANOVA c. Completely randomized design d. Randomized block design ANSWER: b 9. The following equation applies to which ANOVA model?...
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This document was uploaded on 10/25/2011 for the course LAPS 2320 at York University.
- Fall '10