Exam 18: Testing for Differences Among Three or More Groups: One-Way Analysis of Variance and Some Alternatives

In analysis of variance, problems that tend to be created by nonhomogeneity of variance are

If the treatment has no effect, we would expect

In the analysis of variance F test, when the null hypothesis is false, we would expect most calculated values of F to

Individuals treated the same way still differ in performance. This is referred to in the text as

The theoretical orientation scores for four samples of psychology graduate students are given below. (a)Express and (b) Calculate the F ratio.

The assumption of homogeneity of variance means that

Variability of scores about their group means affords an indication of

In analysis of variance, which of the following is normally not computed?

In a one-way ANOVA, the following results are obtained:

If there are n scores in each group and k groups, the between-groups variance estimate is calculated by dividing the appropriate sum of squares by

The denominator of any variance estimate consists of

If we divide a sum of squared deviation scores by the associated degrees of freedom we have

Six chronically depressed patients are randomly assigned to three therapy programs. At the end of 3 months, each is rated on his or her behavior in a standardized interview situation. The results are shown below. (a) Express and . (b) Calculate the F ratio.

The F distribution is like the t distribution in that

is a variance estimate that reflects

If there are three groups of 10 cases each, then

F is formed by

is a variance estimate that reflects

In analysis of variance, nonnormality of the distribution of group scores

The following are the scores from two groups of two cases each: Group 1: 2, 4 Group 2: 4, 6, SS_W=