Question 1

In the ANOVA test, if the null hypothesis is true, then

Accepted Answer

A)  SSB should be at least twice as much as dfb 
B)  SSW should be much greater than SSB 
C)  the combined dfb and dfw should be much greater than the SST 
D)  the mean square between (MS
B)  and the mean square within (MSW) should be roughly equal in value 
A)  SSB should be at least twice as much as dfb 
B)  SSW should be much greater than SSB 
C)  the combined dfb and dfw should be much greater than the SST 
D)  the mean square between (MS
B)  and the mean square within (MSW) should be roughly equal in value

Question 2

The F ratio is equal to

Accepted Answer

A)  SST - SSB 
B)  the "mean square between" divided by the "mean square within" 
C)  the "mean square within" minus the "mean square between" 
D)  the total variance divided by the mean square between 
A)  SST - SSB 
B)  the "mean square between" divided by the "mean square within" 
C)  the "mean square within" minus the "mean square between" 
D)  the total variance divided by the mean square between

Question 3

The research hypothesis for the ANOVA test is

Accepted Answer

A)  $\mu$1 <$\mu$2 < $\mu$3 < ... <$\mu$N 
B)  at least one population mean is different 
C)  SST = SSB = SSW 
D)  at least one of the sums of squares is different 
A)  $\mu$1 <$\mu$2 < $\mu$3 < ... <$\mu$N 
B)  at least one population mean is different 
C)  SST = SSB = SSW 
D)  at least one of the sums of squares is different

Question 4

ANOVA proceeds by developing two separate estimates of the

Accepted Answer

A)  population mean 
B)  population standard deviation 
C)  population variance 
D)  sample variance 
A)  population mean 
B)  population standard deviation 
C)  population variance 
D)  sample variance

Question 5

To construct estimates of the population variance, we divide each sum of squares by its respective

Accepted Answer

A)  degrees of freedom 
B)  N 
C)  category mean 
D)  standard deviation 
A)  degrees of freedom 
B)  N 
C)  category mean 
D)  standard deviation

Question 6

The ANOVA test will tolerate some violation of the model assumptions as long as

Accepted Answer

A)  sample size is quite small 
B)  sample sizes are roughly equal 
C)  at least one sample is greater than 50 
D)  there are more than 4 separate samples 
A)  sample size is quite small 
B)  sample sizes are roughly equal 
C)  at least one sample is greater than 50 
D)  there are more than 4 separate samples

Question 7

In the ANOVA test, what assumption must be made about the shape of the population distribution?

Accepted Answer

A)  the population distribution is normal in shape 
B)  the test is non-parametric, no assumption need be made about the population 
C)  population distribution is a bivariate table 
D)  the test is parametric, population distribution is assumed to not be normal 
A)  the population distribution is normal in shape 
B)  the test is non-parametric, no assumption need be made about the population 
C)  population distribution is a bivariate table 
D)  the test is parametric, population distribution is assumed to not be normal

Question 8

We have rejected the null hypothesis in an ANOVA test. This means that the variation _________ the samples is significantly greater than the variation ________ the samples.

Accepted Answer

A)  within … between 
B)  above … below 
C)  outside … inside 
D)  between … within 
A)  within … between 
B)  above … below 
C)  outside … inside 
D)  between … within

Question 9

In an ANOVA test, if MSB is significantly _____ than MSW, we will ____

Accepted Answer

A)  less … reject the null hypothesis 
B)  greater … reject the null hypothesis 
C)  greater … fail to reject the null hypothesis 
D)  greater … recompute as this is mathematically impossible 
A)  less … reject the null hypothesis 
B)  greater … reject the null hypothesis 
C)  greater … fail to reject the null hypothesis 
D)  greater … recompute as this is mathematically impossible

Question 10

Which of the following is an assumption that must be made in Step 1 of the ANOVA test?

Accepted Answer

A)  independent random samples 
B)  dependent random samples 
C)  level of measurement is nominal 
D)  simple random samples 
A)  independent random samples 
B)  dependent random samples 
C)  level of measurement is nominal 
D)  simple random samples

Question 11

A researcher is comparing random samples of white, black, and Hispanic Americans for differences in income, family size, and years of education. Which of the following tests of significance would be useful for all three dependent variables?

Accepted Answer

A)  t test for small samples 
B)  t test for difference in means 
C)  ANOVA 
D)  the test for the significance of the difference between sample proportions 
A)  t test for small samples 
B)  t test for difference in means 
C)  ANOVA 
D)  the test for the significance of the difference between sample proportions

Question 12

The quantity SSW measures the amount of variation

Accepted Answer

A)  after subtracting the total variation (SST) 
B)  within the categories 
C)  in the population 
D)  assuming the null hypothesis is true 
A)  after subtracting the total variation (SST) 
B)  within the categories 
C)  in the population 
D)  assuming the null hypothesis is true

Question 13

In the ANOVA test, degrees of freedom within (dfw) are equal to ______ and degrees of freedom between (dfb) are equal to (k - 1).

Accepted Answer

A)  (N - k) 
B)  (k + 1) 
C)  (N + k) 
D)  (k - N) 
A)  (N - k) 
B)  (k + 1) 
C)  (N + k) 
D)  (k - N)

Question 14

According to a study of weight loss cited in the text,

Accepted Answer

A)  exercise helped to limit weight gain 
B)  those who exercised the most lost significantly more weight 
C)  women lost weight, men gained weight 
D)  all subjects lost weight, regardless of the amount of exercise 
A)  exercise helped to limit weight gain 
B)  those who exercised the most lost significantly more weight 
C)  women lost weight, men gained weight 
D)  all subjects lost weight, regardless of the amount of exercise

Question 15

What would be the most appropriate test of significance for research situations in which we have an interval-ratio dependent variable and an independent variable with three or more categories?

Accepted Answer

A)  the t test 
B)  Chi square 
C)  ANOVA 
D)  the IQV 
A)  the t test 
B)  Chi square 
C)  ANOVA 
D)  the IQV

Question 16

Which of the following correctly states the relationship between SST (the total sum of squares), SSB (the sum of squares between), and SSW (the sum of squares within)?

Accepted Answer

A)  SST = SSB + SSW 
B)  SST = SSB - SSW 
C)  SSW = SSB + SST 
D)  SSB = SST - SSW 
A)  SST = SSB + SSW 
B)  SST = SSB - SSW 
C)  SSW = SSB + SST 
D)  SSB = SST - SSW

Question 17

The population variance is a measure of

Accepted Answer

A)  central tendency 
B)  dispersion 
C)  location 
D)  degrees of freedom 
A)  central tendency 
B)  dispersion 
C)  location 
D)  degrees of freedom

Question 18

With the ANOVA test, the ___________ the difference between categories, relative to the differences within, the ________ likely that the null hypothesis will be rejected

Accepted Answer

A)  smaller … more 
B)  greater … more 
C)  b & c are both correct 
A)  smaller … more 
B)  greater … more 
C)  b & c are both correct

Question 19

The ANOVA test is most appropriate for dependent variables that are

Accepted Answer

A)  ordinal 
B)  nominal 
C)  less than zero 
D)  interval-ratio 
A)  ordinal 
B)  nominal 
C)  less than zero 
D)  interval-ratio

Question 20

ANOVA is a one tailed test and we are concerned only with those outcomes in which there is more variance

Accepted Answer

A)  within categories than between categories 
B)  between categories than within categories 
C)  within populations than samples 
D)  within samples than populations 
A)  within categories than between categories 
B)  between categories than within categories 
C)  within populations than samples 
D)  within samples than populations

In the ANOVA test, if the null hypothesis is true, then

The F ratio is equal to

The research hypothesis for the ANOVA test is

ANOVA proceeds by developing two separate estimates of the

To construct estimates of the population variance, we divide each sum of squares by its respective

The ANOVA test will tolerate some violation of the model assumptions as long as

In the ANOVA test, what assumption must be made about the shape of the population distribution?

We have rejected the null hypothesis in an ANOVA test. This means that the variation _ the samples is significantly greater than the variation the samples.

In an ANOVA test, if MSB is significantly _ than MSW, we will

Which of the following is an assumption that must be made in Step 1 of the ANOVA test?

A researcher is comparing random samples of white, black, and Hispanic Americans for differences in income, family size, and years of education. Which of the following tests of significance would be useful for all three dependent variables?

The quantity SSW measures the amount of variation

In the ANOVA test, degrees of freedom within (dfw) are equal to ______ and degrees of freedom between (dfb) are equal to (k - 1).

According to a study of weight loss cited in the text,

What would be the most appropriate test of significance for research situations in which we have an interval-ratio dependent variable and an independent variable with three or more categories?

Which of the following correctly states the relationship between SST (the total sum of squares), SSB (the sum of squares between), and SSW (the sum of squares within)?

The population variance is a measure of

With the ANOVA test, the ___ the difference between categories, relative to the differences within, the likely that the null hypothesis will be rejected

The ANOVA test is most appropriate for dependent variables that are

ANOVA is a one tailed test and we are concerned only with those outcomes in which there is more variance

Introduction

Basic Descriptive Statistics Percentages, Ratios Rates, Tables, Charts Graphs

Measures of Central Tendency

Measures of Dispersion

The Normal Curve

Introduction to Inferential Statistics Sampling the Sampling Distribution

Hypothesis Testing I the One-Sample Case

Hypothesis Testing II the Two-Sample Case

Hypothesis Testing Iv Chi Square

Bivariate Association for Nominal- and Ordinal-Level Variables

Association Between Variables Measured at the Interval-Ratio Level

Partial Correlation and

Filters

Exam 9: Hypothesis Testing III: the Analysis of Variance

In the ANOVA test, if the null hypothesis is true, then

The F ratio is equal to

The research hypothesis for the ANOVA test is

ANOVA proceeds by developing two separate estimates of the

To construct estimates of the population variance, we divide each sum of squares by its respective

The ANOVA test will tolerate some violation of the model assumptions as long as

In the ANOVA test, what assumption must be made about the shape of the population distribution?

We have rejected the null hypothesis in an ANOVA test. This means that the variation _________ the samples is significantly greater than the variation ________ the samples.

In an ANOVA test, if MSB is significantly _____ than MSW, we will ____

Which of the following is an assumption that must be made in Step 1 of the ANOVA test?

A researcher is comparing random samples of white, black, and Hispanic Americans for differences in income, family size, and years of education. Which of the following tests of significance would be useful for all three dependent variables?

The quantity SSW measures the amount of variation

In the ANOVA test, degrees of freedom within (dfw) are equal to ______ and degrees of freedom between (dfb) are equal to (k - 1).

According to a study of weight loss cited in the text,

What would be the most appropriate test of significance for research situations in which we have an interval-ratio dependent variable and an independent variable with three or more categories?

Which of the following correctly states the relationship between SST (the total sum of squares), SSB (the sum of squares between), and SSW (the sum of squares within)?

The population variance is a measure of

With the ANOVA test, the ___________ the difference between categories, relative to the differences within, the ________ likely that the null hypothesis will be rejected

The ANOVA test is most appropriate for dependent variables that are

ANOVA is a one tailed test and we are concerned only with those outcomes in which there is more variance

Introduction

Basic Descriptive Statistics Percentages, Ratios Rates, Tables, Charts Graphs

Measures of Central Tendency

Measures of Dispersion

The Normal Curve

Introduction to Inferential Statistics Sampling the Sampling Distribution

Hypothesis Testing I the One-Sample Case

Hypothesis Testing II the Two-Sample Case

Hypothesis Testing Iv Chi Square

Bivariate Association for Nominal- and Ordinal-Level Variables

Association Between Variables Measured at the Interval-Ratio Level

Partial Correlation and

Filters

We have rejected the null hypothesis in an ANOVA test. This means that the variation _ the samples is significantly greater than the variation the samples.

In an ANOVA test, if MSB is significantly _ than MSW, we will

With the ANOVA test, the ___ the difference between categories, relative to the differences within, the likely that the null hypothesis will be rejected