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Chapter 11 Analysis of Variance Name: ______ 1. Which of the following is not a characteristic of the F distribution?

What are the degrees of freedom for Hartley's test statistic for a one - factor ANOVA with n1 = 5, n2 = 8, n3 = 7, n4 = 8, n5 = 6, n6 = 8?
A. 7, 6 B. 6, 6 C. 6, 41

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Chapter 11 Analysis of Variance Name: ______ 1. Which of the following is not a characteristic of the F distribution?  A. It is always right - skewed. B. It describes the ratio of two variances. C. It is a family based on two sets of degrees of freedom. D. It is negative when s 1 2  is smaller than s 2 2 .  ______ 2. In an ANOVA, the SSE (error) sum of squares reflects  A. The effect of the combined factor(s). B. The overall variation in Y that is to be explained. C. The variation that is not explained for by the factors. D. The combined effect of treatments and sample size.   ____D__ 3. Which is not assumed in ANOVA?  A. Observations are independent. B. Populations are normally distributed. C. Variances of all treatment groups are the same. D. Population variances are known. ______ 4. In a one - factor ANOVA, the computed value of F will be negative  A. when there is no difference in the treatment means. B. when there is no difference within the treatments. C. when the SST (total) is larger than SSE (error). D. under no circumstances. ______ 5. Degrees of freedom for the between - group variation in a one - factor ANOVA with n 1  = 5, n 2  = 6, n 3  = 7  would be  A. 18 B. 17 C. 6 D. 2 ______ 6. In a one - factor ANOVA, the total sum of squares is equal to  A. the sum of squares within groups plus the sum of squares between groups. B. the sum of squares within groups times the sum of squares between groups. C. sum of squares within groups divided by the sum of squares between groups. D. the means of all the groups squared.
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____A__  7 . Which of the following assumptions is  not  a requirement for ANOVA? a . dependent samples b . normal populations c . equal population variances d . independent samples ______  8 . The mean square error term (MSE) is the a . estimate of the common population variance. b . estimate of the population means. c . estimate of the sample standard deviation. d . treatment variation. ______  9. What are the degrees of freedom for Hartley's test statistic for a one - factor ANOVA with n 1  = 5, n 2  = 8,  n 3  = 7, n 4  = 8, n 5  = 6, n 6  = 8?  A. 7, 6                                    B. 6, 6 C. 6, 41  ______ 10. What are the degrees of freedom for Tukey's test statistic for a one - factor ANOVA with n 1  = 6, n 2  = 6,  n 3  = 6?  A. 3, 6                        B. 6, 3 C. 6, 15 D. 3, 15 11. Refer to the following partial ANOVA results from Excel (some info is missing).     a. The F statistic is  ______ A. 2.84                         B. 3.56 C. 2.80 D. 2.79 b. Degrees of freedom for between groups variation are _____  A. 3                        B. 4 C. 5 D. Can't tell from given information. c. SS for between groups variation will be ______  A. 129.99              B .  630.83 C. 1233.4 D. Can't tell.   d. Degrees of freedom for the F - test are ______ A. 5, 22    B. 4, 21 C. 3, 20 D. impossible to determine.
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This question was asked on Jan 24, 2013.

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