Exam 11: A: The Analysis of Variance

A randomized block design ANOVA has two treatments. The test to be performed in this procedure is equivalent to dependent samples t test.

What is the term for an experimental plan that creates one treatment group for each treatment, and then randomly assigns each experimental unit to one of these groups?

The sum of squares for treatments, SST, achieves its smallest value (0) when all the sample means are equal.

In a one-way ANOVA, the mean squares for treatments (MST) will be larger than the mean squares for error (MSE) if the null hypothesis is rejected.

A randomized block design with 4 treatments and 5 blocks produced the following sum of squares values: Total SS = 1951, SST = 349, SSE = 188. What must the value of SSB be?

In analysis of variances, the sum of squares for treatments (SST) is 0 when all the sample means are equal.

The equation "Total SS = SSA + SSB + SS(AB) + SSE" applies to which ANOVA model?

The term "one-way ANOVA" refers to the fact that in conducting the test, there is only one way to partition the total sum of squares.

Which of the following is used as the test statistic of the single-factor ANOVA?

In a two-way factor ANOVA with replications in which all hypotheses are to be tested at the 0.05 significance level, if the p-value for interaction is 0.0257, then we should conclude that no interaction exists between the levels of the two factors.

Two samples of ten each from the male and female workers of a large company have been taken. The data involved the wage rate of each worker. To test whether there is any difference in the average wage rate between male and female workers, a pooled-variances t test will be considered. Another test option to consider is ANOVA. The most likely ANOVA to fit this test situation is the randomized block design.

In any ANOVA test, whenever the computed F statistic falls short of a chosen critical value of F, the alternative hypothesis of unequal population means should be accepted.

Tukey's multiple comparison method determines a critical number, , such that if any pair of sample means has a difference greater than , we conclude that the pair's two corresponding population means are different.

The F test of the randomized block design of the analysis of variance has the same requirements as the independent samples design; that is, the random variable must be normally distributed and the population variances must be equal.

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

The completely randomized design is an experimental plan that creates one treatment group for each treatment, and then randomly assigns each experimental unit to one of these groups.

The randomized block design is a two-way classification design.

In a one-way ANOVA, if the sum of squares for error (SSE) is large relative to the sum of squares for treatments (SST), this is an indication that the population means are likely to be different.

In which of the following models can interaction in an experimental design be tested?

Multiple comparison methods are used in one-way ANOVA if the null hypothesis that no difference between the treatment means is rejected.