HW 8

In an Analysis of Variance, the total variation is divisible into __________ component(s).

2

In an Analysis of Variance with 4 groups, each containing 12 respondents: Calculate the between-group degrees of freedom.

3

In an Analysis of Variance with 4 groups, each containing 12 respondents: Calculate the within-group degrees of freedom.

44

In an Analysis of Variance with 4 groups, each containing 12 respondents: Calculate the total degrees of freedom.

47

Which is NOT true of an Analysis of Variance?

All data must be ordinal level data.

Which of the following is a requirement for computing the F-ratio?

All of the above: Random sampling, A normal distribution, and Comparing two or more independent means

The mean square is:

All of the above: calculated by dividing the sum of squares within by the degrees of freedom within, calculated by dividing the sum of squares between by the degrees of freedom between, and is a method for assessing variation in conjunction with the sums of squares measures.

We use the Analysis of Variance rather than the t ratio when more than two groups are involved because:

All of the above: it is less time consuming to make the necessary calculations, it decreases the likelihood of making a Type 1 error, and the more statistical tests conducted, the more likely sampling error may cause statistically significant findings.

The sum of squares is the method for measuring variation:

All of the above: within groups, between groups, and for the total sample.

ANOVA is generally used to compare less than three groups.

False

In ANOVA, if the F-ratio is larger than the critical value the groups are the same in the population.

False

In ANOVA, the dependent variable is measured at the nominal level.

False

The formula for df within is __________.

N total - k

The formula for the total sum of squares, SS total, is __________.

Sigma(X-Xtotal)^2

In ANOVA, the dependent variable is measured at the interval level.

True

In an Analysis of Variance with three groups, the null hypothesis states:

U1=U2=U3

In an Analysis of Variance with three groups, the research hypothesis is:

at least two of the group means differ.

The variation observed between group means is referred to as:

between group variation.

The F-Ratio is calculated by:

dividing the mean square between by the mean square within.

The formula for df between is __________.

k-1

Tukey's HSD test is used:

only after the analysis of variance has been computed.

The larger the value of the calculated F-ratio:

the less likely an observed difference is due to chance.

The q value in Tukey's HSD depends on:

the number of group means being compared.

The variation found among raw scores in a particular group is referred to as:

within group variation.