Question 1

The F statistic is the ratio of between-group variance to within-group variance.

Accepted Answer

A) True 
 B)False

Question 2

SELECT ALL THAT APPLY.
-The correlation ratio or eta square

Accepted Answer

A) allows the researcher to make a statement about the strength of the relationship. 
B) represents the proportions of variance that is explained by the independent variables. 
C) is the ratio of SST to SSB. 
D) ranges from 0.0 to ±1. 
A) allows the researcher to make a statement about the strength of the relationship. 
B) represents the proportions of variance that is explained by the independent variables. 
C) is the ratio of SST to SSB. 
D) ranges from 0.0 to ±1.

Question 3

As eta square approaches zero,the relationship between the variables is weaker.

Accepted Answer

A) True 
 B)False

Question 4

SELECT ALL THAT APPLY.
-The assumptions of ANOVA test are:

Accepted Answer

A) independent random samples. 
B) nominal level of measurement of variables. 
C) population distribution is normal. 
D) population variances are not equal. 
A) independent random samples. 
B) nominal level of measurement of variables. 
C) population distribution is normal. 
D) population variances are not equal.

Question 5

In an ANOVA,the population variances are assumed to be equal.

Accepted Answer

A) True 
 B)False

Question 6

A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial groups.Based on the data below,calculate the degrees of freedom for the between-group sum of squares.Then,use this quantity to calculate the mean square between.

Accepted Answer

The answer of A researcher is interested in whether there...

Question 7

What is the null hypothesis when using ANOVA procedures?

Accepted Answer

A)  $ Y_{1}=Y_{2} $ 
B)  $ \mu_{1}=\mu_{2} $ 
C)  $ Y_{1}=Y_{2}=Y_{3 \ldots}=Y_{n} $ 
D)  $ \mu 1=\mu 2=\mu 3 \ldots=\mu n $ 
A)  $ Y_{1}=Y_{2} $ 
B)  $ \mu_{1}=\mu_{2} $ 
C)  $ Y_{1}=Y_{2}=Y_{3 \ldots}=Y_{n} $ 
D)  $ \mu 1=\mu 2=\mu 3 \ldots=\mu n $

Question 8

Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational groups.Use the data in the accompanying table to calculate the value of the between-group sum of squares.

Accepted Answer

The answer of Imagine you are interested in whether there...

Question 9

A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial groups in the 2006 General Social Survey.The data are provided in the accompanying data.If the value of the mean square within is 36.87,calculate the within-group sum of squares and the number of degrees of freedom for the within-group sum of squares.

Accepted Answer

The answer of A researcher is interested in whether there...

Question 10

SELECT ALL THAT APPLY.
-Degrees of freedom:

Accepted Answer

A)  $ d f_{b}=k-1 $ where k is the number of samples. 
B)  $ d f_{w}=N-k $ where N is the Population size and k is the number of samples. 
C)  $ d f_{b}=\frac{\text { SSB }}{\text { Meansquarebetween }} $ . 
D)  $ d f_{w}=\frac{\text { SSW }}{\text { Mean.square.within }} $ . 
A)  $ d f_{b}=k-1 $ where k is the number of samples. 
B)  $ d f_{w}=N-k $ where N is the Population size and k is the number of samples. 
C)  $ d f_{b}=\frac{\text { SSB }}{\text { Meansquarebetween }} $ . 
D)  $ d f_{w}=\frac{\text { SSW }}{\text { Mean.square.within }} $ .

Question 11

Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational groups in the 2010 General Social Survey.If the value of the mean square within for these data is 36.87,calculate the within-group sum of squares and the number of degrees of freedom for the within-group sum of squares.

Accepted Answer

The answer of Imagine you are interested in whether there...

Question 12

What can you say about the relationship if eta square is 0.85?

Accepted Answer

85% of the variation

Question 13

If the F critical is 4.94 while the F obtained is 3.97,when $ d f_{w} $ = 3, $ d f_{w} $ = 20 and alpha level = .01,do we accept or reject the null hypothesis?

Accepted Answer

We accept the null h

Question 14

What does the within-group sum of squares measure?

Accepted Answer

A) The sum of the squared deviations between each group mean and every other group mean 
B) The sum of the squared deviations between each group mean and the mean across all groups 
C) The sum of the squared deviations between each individual observation and its group mean 
D) The sum of the squared deviations between each individual observation and the mean across all groups 
A) The sum of the squared deviations between each group mean and every other group mean 
B) The sum of the squared deviations between each group mean and the mean across all groups 
C) The sum of the squared deviations between each individual observation and its group mean 
D) The sum of the squared deviations between each individual observation and the mean across all groups

Question 15

A larger F obtained statistic means that there is more ______ variance than ______ variance.

Accepted Answer

A) between-group;within-group 
B) within-group;between-group 
C) explained;observed 
D) mean square;sum of square 
A) between-group;within-group 
B) within-group;between-group 
C) explained;observed 
D) mean square;sum of square

Question 16

The amount of variation in the dependent variable that can be attributed to or explained by the independent variable is called the

Accepted Answer

A) between-group sum of squares. 
B) within-group sum of squares. 
C) total sum of squares. 
D) correlation coefficient. 
A) between-group sum of squares. 
B) within-group sum of squares. 
C) total sum of squares. 
D) correlation coefficient.

Question 17

If SSB = 15.62 $ \left(d f_{b}=4\right) $ and SSW = 6.39 $ \left(d f_{w}=16\right) $ ,then calculate the F statistic.

Accepted Answer

The answer of If SSB = 15.62 \( \left(d f_{b}=4\right)...

Question 18

Why is the F statistic also called an F ratio?

Accepted Answer

A) It is the ratio of one group mean to another. 
B) It is the ratio of the mean square between to the mean square within. 
C) It is the ratio of the within-group sum of squares to the between-group sum of squares 
D) It is the ratio of degrees of freedom for the within-group sum of squares to the degrees of freedom for the between-group sum of squares 
A) It is the ratio of one group mean to another. 
B) It is the ratio of the mean square between to the mean square within. 
C) It is the ratio of the within-group sum of squares to the between-group sum of squares 
D) It is the ratio of degrees of freedom for the within-group sum of squares to the degrees of freedom for the between-group sum of squares

Question 19

ANOVA allows us to determine whether the variance between samples is larger than the variance within samples.If the variance is larger between samples,what can we say about the group differences we are interested in analyzing?

Accepted Answer

A) There are no group differences. 
B) There may be group differences. 
C) The dependent variables vary significantly across groups. 
D) The dependent variables vary significantly within groups. 
A) There are no group differences. 
B) There may be group differences. 
C) The dependent variables vary significantly across groups. 
D) The dependent variables vary significantly within groups.

Question 20

What is the research hypothesis when using ANOVA procedures?

Accepted Answer

A)  $ \mu_{1}=\mu_{2} $ 
B)  $ \mu 1=\mu \alpha=\mu \nu \ldots=\mu n $ 
C) At least one of the group means is significantly different from the others. 
D) All of the group means are significantly different from all other group means. 
A)  $ \mu_{1}=\mu_{2} $ 
B)  $ \mu 1=\mu \alpha=\mu \nu \ldots=\mu n $ 
C) At least one of the group means is significantly different from the others. 
D) All of the group means are significantly different from all other group means.

The F statistic is the ratio of between-group variance to within-group variance.

SELECT ALL THAT APPLY. -The correlation ratio or eta square

As eta square approaches zero,the relationship between the variables is weaker.

SELECT ALL THAT APPLY. -The assumptions of ANOVA test are:

In an ANOVA,the population variances are assumed to be equal.

A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial groups.Based on the data below,calculate the degrees of freedom for the between-group sum of squares.Then,use this quantity to calculate the mean square between.

What is the null hypothesis when using ANOVA procedures?

Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational groups.Use the data in the accompanying table to calculate the value of the between-group sum of squares.

SELECT ALL THAT APPLY. -Degrees of freedom:

What can you say about the relationship if eta square is 0.85?

If the F critical is 4.94 while the F obtained is 3.97,when $d f_{w}$ = 3, $d f_{w}$ = 20 and alpha level = .01,do we accept or reject the null hypothesis?

What does the within-group sum of squares measure?

A larger F obtained statistic means that there is more variance than variance.

The amount of variation in the dependent variable that can be attributed to or explained by the independent variable is called the

If SSB = 15.62 $\left(d f_{b}=4\right)$ and SSW = 6.39 $\left(d f_{w}=16\right)$ ,then calculate the F statistic.

Why is the F statistic also called an F ratio?

ANOVA allows us to determine whether the variance between samples is larger than the variance within samples.If the variance is larger between samples,what can we say about the group differences we are interested in analyzing?

What is the research hypothesis when using ANOVA procedures?

The What and the Why of Statistics

The Organization and Graphic Presentation of Data

Measures of Central Tendency

Measures of Variability

The Normal Distribution

Sampling and Sampling Distributions

Estimation

Testing Hypotheses

Bivariate Tables

The Chi-Square Test and Measures of Association

Regression and Correlation

Filters

Exam 11: Analysis of Variance

The F statistic is the ratio of between-group variance to within-group variance.

SELECT ALL THAT APPLY. -The correlation ratio or eta square

As eta square approaches zero,the relationship between the variables is weaker.

SELECT ALL THAT APPLY. -The assumptions of ANOVA test are:

In an ANOVA,the population variances are assumed to be equal.

A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial groups.Based on the data below,calculate the degrees of freedom for the between-group sum of squares.Then,use this quantity to calculate the mean square between.

What is the null hypothesis when using ANOVA procedures?

Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational groups.Use the data in the accompanying table to calculate the value of the between-group sum of squares.

SELECT ALL THAT APPLY. -Degrees of freedom:

What can you say about the relationship if eta square is 0.85?

If the F critical is 4.94 while the F obtained is 3.97,when dfw d f_{w} dfw​ = 3, dfw d f_{w} dfw​ = 20 and alpha level = .01,do we accept or reject the null hypothesis?

What does the within-group sum of squares measure?

A larger F obtained statistic means that there is more ______ variance than ______ variance.

The amount of variation in the dependent variable that can be attributed to or explained by the independent variable is called the

If SSB = 15.62 (dfb=4) \left(d f_{b}=4\right) (dfb​=4) and SSW = 6.39 (dfw=16) \left(d f_{w}=16\right) (dfw​=16) ,then calculate the F statistic.

Why is the F statistic also called an F ratio?

ANOVA allows us to determine whether the variance between samples is larger than the variance within samples.If the variance is larger between samples,what can we say about the group differences we are interested in analyzing?

What is the research hypothesis when using ANOVA procedures?

The What and the Why of Statistics

The Organization and Graphic Presentation of Data

Measures of Central Tendency

Measures of Variability

The Normal Distribution

Sampling and Sampling Distributions

Estimation

Testing Hypotheses

Bivariate Tables

The Chi-Square Test and Measures of Association

Regression and Correlation

Filters

If the F critical is 4.94 while the F obtained is 3.97,when $d f_{w}$ = 3, $d f_{w}$ = 20 and alpha level = .01,do we accept or reject the null hypothesis?

A larger F obtained statistic means that there is more variance than variance.

If SSB = 15.62 $\left(d f_{b}=4\right)$ and SSW = 6.39 $\left(d f_{w}=16\right)$ ,then calculate the F statistic.