Exam 11: Analysis of Variance

A researcher is interested in comparing the mean education levels of recent immigrant groups by origin country.She is particularly interested in comparing the mean education levels of immigrants from China,Ecuador,Mexico,and Vietnam.The researcher uses an ANOVA design and calculates an F statistic of 29.275.What two statistical quantities comprise the numerator and denominator of this statistic?

A researcher is interested in comparing the mean education levels of recent immigrant groups by country of origin.She is particularly interested in comparing the mean education levels of immigrants from China,Ecuador,Mexico,and Vietnam.What is the null hypothesis?

Differences between samples,or within a single sample,are referred to as the

The formula, $\sum\left(Y_{i}-\bar{Y}_{k}\right)^{2}$ ,calculates the ______ sum of squares.

If alpha = 0.05 and,F critical is 3.55 and the obtained critical is 5.43,we reject the null hypothesis since 3.55 < 5.43.

The F-test statistic that is calculated is called

Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational groups.If the F statistic is 6.10,use the data below to determine the value of the mean square within.

Which of the following is an assumption of ANOVA?

The formula, $\sum n_{k}\left(\overline{Y_{k}}-\bar{Y}\right)^{2}$ ,calculates the ______ sum of squares.

What is the corresponding F critical when $d f_{w}$ =3, $d f_{w}$ =20 and alpha level= .01?

After calculating the between-group sum of squares and the within-group sum of squares,the next step is to calculate the mean square between and the mean square within.This is achieved by

ANOVA is best suited for comparing the means of ______ group(s)at once.

List the four assumptions of ANOVA.

In order to determine whether the differences between group means are statistically significant,ANOVA examines the differences

The between-group sum of squares and the within-group sum of squares compose the a.aggregate group sum of squares. b.ratio sum of squares. c.total sum of squares. d.mean level of variance.

Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational groups.If the critical value for an F statistic of 8.49 is 2.99,are these results statistically significant or not?

An analysis of variance with one dependent and one independent variable is referred to as a

In which academic field is ANOVA most commonly used?

What does the between-group sum of squares measure?

A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial groups.If the F statistic calculated for these data is 8.49,what is the value of the mean square within?