Exam 11: Hypothesis Involving Three or More Population Means: Analysis of Variance

Tukey's HSD allows for the researcher to compare individual group means with each other to identify which ones are significantly different.

Analyses of variance (ANOVAs) are to be used when the dependent variable is interval or ratio and the independent variable is ______.

Rejecting the null hypothesis of equal means suggests that each and every group mean is different from one another.

A problem with conducting multiple t-tests on more than two sample means is ______.

To find the within-group degrees of freedom, one must ______.

The eta squared allows a researcher to measure the strength of the relationship between the independent and dependent variable.

______ variability may be thought of as error.

A researcher hypothesizes that offenders who do not receive services in prison will have higher number of arrests after release than those who participate in program A and B will have lower numbers of arrests post-release than those who only participate in program A and those who receive no services. In conducting an ANOVA with this data, how would the null hypotheses be stated?

ANOVAs are useful for independent variables that have more than two values because this test assumes that the samples means are independent.

Total variability is ______.

The statistical test of ANOVA, the F-test, examines ______.

If you subtract the between-groups sum of squares from the total sum of squares you will get the within-groups sum of squares.

Between-groups variability is ______.

The variance for both within- and between-groups is obtained by dividing each groups sum of squares by its respective degrees of freedom.

The denominator of the formula for the F-ratio is concerned with the difference between groups.

To find the between-group degrees of freedom, one must ______.

______ variability may be thought of as the treatment or differences we are interested in.

If you add the between- and within-groups sum of square, you will get the total sum of squares.

If you subtract the within-groups sum of squares from the total sum of squares you will get the between-groups sum of squares.

ANOVA is based on ______.