Exam 11: Experimental Design and Analysis of Variance

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. What is the calculated F statistic for treatment?

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations.The response variable is sales in millions of dollars and four treatment levels represent the four regions that the company serves. MSE = 101.25 _overall = 39 ₁ = 33 ₂ = 43 ₃ = 49 ₄ = 31 Perform a pairwise comparison between treatment mean 3 and treatment mean 4 by computing a Tukey 90% simultaneous confidence interval.

In randomized block ANOVA,the sum of squares for factor 1 equals:

Which of the following is not an assumption for one-way analysis of variance?

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. What is the calculated F statistic for blocks?

In one-way ANOVA,other factors being equal,the further apart the treatment means are from each other,the more likely we are to reject the null hypothesis associated with the ANOVA F test.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. What is the calculated F statistic for blocks?

When computing individual confidence intervals using the t statistic for all possible pairwise comparison of means,the experimentwise error rate will be:

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom for the treatments?

Consider the randomized block design with 4 blocks and 3 treatments given above. Test H₀: there is no difference between block effects at $\alpha$ = .05

Suppose you are a researcher investigating the annual sales differences among five categories of businesses.Looking at a total of 55 companies equally divided among categories groups A,B,C,D,and

After rejecting the null hypothesis of equal treatments,a researcher decided to compute a 95% confidence interval for the difference between the mean of treatment 1 and mean of treatment 2 based on Tukey's procedure.At = .05,if the confidence interval includes the value of zero,then we can reject the hypothesis that the two population means are equal.

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. Test H₀: there is no difference between treatment effects at = .05.

Consider the one-way ANOVA table. How many groups (treatment levels)are included in the study?

The F-test for testing the difference between means is equal to ratio of Mean Square _____________ over Mean Square __________________.

A researcher has used a one-way analysis of variance model to test whether the average starting salaries differ among the recent graduates from nursing,engineering,business and education disciplines.She has randomly selected four graduates from each of the four areas. Determine degrees of freedom treatment,degrees of freedom error and degrees of freedom total and state the critical value of the F statistic at $\alpha$ = .05

The degrees of freedom error for a randomized block design ANOVA test with 4 treatments and 5 blocks is:

_____ refers to applying a treatment to more than one experimental unit.

In a ___________________ experimental design,independent random samples of experimental units are assigned to the treatments.

Consider the following one-way ANOVA table. What is the value of the F-statistic?