Exam 11: A: The Analysis of Variance

-Refer to ANOVA table one. In a completely randomized design for ANOVA, the numerator and denominator degrees of freedom for the test statistic are 4 and 25, respectively. What must the total number of observations equal?

In the randomized block design for ANOVA, which of the following statements is NOT a property of blocks variation?

Which of the following correctly describes the F statistic for the completely randomized design?

The analysis of variance, ANOVA, is best described as a statistical technique designed to test whether the means of more than two quantitative populations are equal.

If we first arrange test units into similar groups before assigning treatments to them, the test design we should use is the randomized block design.

Three tennis players, one a beginner, one intermediate, and one advanced, have been randomly selected from the membership of a racquet facility club in a large city. Using the same tennis ball, each player hits ten serves, one with each of three racquet models, with the three racquet models selected randomly. The speed of each serve is measured with a machine and the result recorded. Among the ANOVA models listed below, which is the most likely model to fit this situation?

A randomized block experiment having five treatments and four blocks produced the following values: Total SS = total sum of squares = 1500, SST = sum of squares for treatments = 275, SSE = sum of squares for error = 153. The value of MSB = mean square for blocks must be 268.

Under which of the following conditions is a complete 3 * 2 factorial experiment said to be balanced?

One-factor or one-way ANOVA is one of several versions of the analysis of variance, which controls extraneous factors by using the randomized group design.

In a one-way ANOVA, the sum of squares for treatments (SST) measures the amount of variation among the samples.

A randomized block design ANOVA has five treatments and four blocks. The computed test statistic (value of F) is 6.25. With a 0.05 significance level, the conclusion will be to accept the null hypothesis.

The randomized block design with exactly two treatments is equivalent to which of the following two-tailed tests?

In a one-way ANOVA, total SS is equal to 12,345, and SST is equal to 10,685, then SSE = 1660.

In one-way ANOVA, which of the following statistics is used to measure the amount of total variation that is unexplained?

Which of the following is NOT a property of Tukey's Multiple Comparison Method?

For which of the following departures from the conditions required for a completely randomized design is the procedure no longer considered to be robust?

Which of the following is a characteristic of all members of the F distribution family?

The equation: "Total SS = SST + SSB + SSE" applies to which ANOVA model?

In the factorial experiment, where a is the number of levels for factor A, b is the number of levels for factor B, and r is the number of replications of each of the ab factor combinations, the degrees of freedom for interaction is given by which of the listed expressions below?

The numerator or MST degrees of freedom is 3 and the denominator or MSE degrees of freedom is 18. The total number of observations in the completely randomized design must equal 20.