Question 1

Why is it possible to get a negative value for t but not for F?

Accepted Answer

A t-test examines the difference between a sample mean and population mean in standard deviation units. Thus, the sample mean can be smaller or larger than the population mean, enabling positive and negative values. An F-test, on the other hand, examines the ratio of two variability statistics. Since variability cannot be negative, the F statistic must always be positive.

Question 2

An interaction ______.

Accepted Answer

A)  describes when a unique combination of two variables results in a joint effect we would not expect given the effect of each variable individually 
B)  is a possible outcome of n-way ANOVA 
C)  is most typically depicted with multiple lines on a line graph 
D)  all of these 
A)  describes when a unique combination of two variables results in a joint effect we would not expect given the effect of each variable individually 
B)  is a possible outcome of n-way ANOVA 
C)  is most typically depicted with multiple lines on a line graph 
D)  all of these D

Question 3

There are 4 treatment conditions in one-way ANOVA when k = 5.

Accepted Answer

A) True 
 B)False  False

Question 4

Scheffe's test is a conservative post-hoc test and LSD is not a very conservative post-hoc test. This means ______ with Scheffe's test than with an LSD test.

Accepted Answer

A)  you are more likely to find statistical significance 
B)  you are less likely to find statistical significance 
C)  you are more likely to find large effect sizes 
D)  you are less likely to find large effect sizes 
A)  you are more likely to find statistical significance 
B)  you are less likely to find statistical significance 
C)  you are more likely to find large effect sizes 
D)  you are less likely to find large effect sizes

Question 5

The F ratio ______.

Accepted Answer

A)  compares mean differences between groups to the variance between groups 
B)  compares the variance within groups to mean differences 
C)  compares the variance between groups to the variance within groups 
D)  compares mean differences between groups to the variance within groups 
A)  compares mean differences between groups to the variance between groups 
B)  compares the variance within groups to mean differences 
C)  compares the variance between groups to the variance within groups 
D)  compares mean differences between groups to the variance within groups

Question 6

If n = 25 and k = 5, what is Fcrit when α = .05?

Accepted Answer

A)  4.10 
B)  4.43 
C)  2.87 
D)  2.71 
A)  4.10 
B)  4.43 
C)  2.87 
D)  2.71

Question 7

F1F1F1S1F1F1F102 = .5 indicates that 50% of the ______.

Accepted Answer

A)  total variability is explained by between-groups variability 
B)  total variability is explained by within-groups variability 
C)  within-groups variability is explained by between-groups variability 
D)  between-groups variability is explained by within-groups variability 
A)  total variability is explained by between-groups variability 
B)  total variability is explained by within-groups variability 
C)  within-groups variability is explained by between-groups variability 
D)  between-groups variability is explained by within-groups variability

Question 8

For one-way ANOVA, when F1F1F1S1F1F1F10 = .05, the critical value when dfB = 3 and dfW = 10 is 8.79.

Accepted Answer

A) True 
 B)False

Question 9

Within groups variability estimates the degree to which group means vary from one another within ANOVA.

Accepted Answer

A) True 
 B)False

Question 10

Why should you use an ANOVA instead of multiple independent-samples t-tests?

Accepted Answer

A t-test only examines the relationship

Question 11

One-way ANOVA can be both directional and non-directional.

Accepted Answer

A) True 
 B)False

Question 12

Sum of squares is ______.

Accepted Answer

A)  the mean distance between each score and its mean 
B)  the total distance between each score and its mean 
C)  the mean squared distance between each score and its mean 
D)  the mean total distance between each score and its mean 
A)  the mean distance between each score and its mean 
B)  the total distance between each score and its mean 
C)  the mean squared distance between each score and its mean 
D)  the mean total distance between each score and its mean

Question 13

A commonly used post-hoc test is ______.

Accepted Answer

A)  Tukey's honestly significance difference test 
B)  the least significant difference test 
C)  Scheffe's test 
D)  all of these 
A)  Tukey's honestly significance difference test 
B)  the least significant difference test 
C)  Scheffe's test 
D)  all of these

Question 14

When calculating an ANOVA, you are most likely to see a significant difference between groups when ______.

Accepted Answer

A)  your between groups variability is large and your within groups variability is small 
B)  your between groups variability is large and your within groups variability is large 
C)  your between groups variability is small and your within groups variability is large 
D)  your between groups variability is small and your within groups variability is small 
A)  your between groups variability is large and your within groups variability is small 
B)  your between groups variability is large and your within groups variability is large 
C)  your between groups variability is small and your within groups variability is large 
D)  your between groups variability is small and your within groups variability is small

Question 15

You collect data on the length sales calls from four departments within an organization. For this scenario, what is k?

Accepted Answer

A)  2 
B)  3 
C)  4 
D)  impossible to determine without more information 
A)  2 
B)  3 
C)  4 
D)  impossible to determine without more information

Question 16

For one-way ANOVA, if F1F1F1S1F1F1F102 = .6, 6% of the variability in the outcome is attributable to group membership.

Accepted Answer

A) True 
 B)False

Question 17

In post-hoc tests, the critical mean difference is used to determine if ______.

Accepted Answer

A)  the F statistic is statistically significant 
B)  the post hoc test is practically significant 
C)  the post hoc test is statistically significant 
D)  all of these 
A)  the F statistic is statistically significant 
B)  the post hoc test is practically significant 
C)  the post hoc test is statistically significant 
D)  all of these

Question 18

If n = 12 and k = 4, what is dfW?

Accepted Answer

A)  3 
B)  4 
C)  8 
D)  9 
A)  3 
B)  4 
C)  8 
D)  9

Question 19

For one-way ANOVA, when F1F1F1S1F1F1F10 = .01, the critical value when dfB = 3 and n = 20 is 5.29.

Accepted Answer

A) True 
 B)False

Question 20

Scheffe's test is the best post-hoc to use after a statistically significant one-way ANOVA.

Accepted Answer

A) True 
 B)False

Why is it possible to get a negative value for t but not for F?

An interaction ______.

There are 4 treatment conditions in one-way ANOVA when k = 5.

Scheffe's test is a conservative post-hoc test and LSD is not a very conservative post-hoc test. This means ______ with Scheffe's test than with an LSD test.

The F ratio ______.

If n = 25 and k = 5, what is F_critwhen α = .05?

² = .5 indicates that 50% of the ______.

For one-way ANOVA, when  = .05, the critical value when df_B= 3 and df_W = 10 is 8.79.

Within groups variability estimates the degree to which group means vary from one another within ANOVA.

Why should you use an ANOVA instead of multiple independent-samples t-tests?

One-way ANOVA can be both directional and non-directional.

Sum of squares is ______.

A commonly used post-hoc test is ______.

When calculating an ANOVA, you are most likely to see a significant difference between groups when ______.

You collect data on the length sales calls from four departments within an organization. For this scenario, what is k?

For one-way ANOVA, if ² = .6, 6% of the variability in the outcome is attributable to group membership.

In post-hoc tests, the critical mean difference is used to determine if ______.

If n = 12 and k = 4, what is df_W?

For one-way ANOVA, when  = .01, the critical value when df_B= 3 and n = 20 is 5.29.

Scheffe's test is the best post-hoc to use after a statistically significant one-way ANOVA.

The Language of Statistics

Working With Numbers and Data Display

Central Tendency and Variability

Probability Distributions

Sampling Distributions

Estimation and Confidence Intervals

Hypothesis Testing

Tests for Significance: Z-Tests and One-Sample T-Tests

Tests for Significance: Paired and Independent-Samples T-Test

CHI-Squared Tests of Fit

Correlation R and Regression Y BX A

Matching Statistical Tests to Business Problems

Filters

Exam 10: Analysis of Variance Anova

Why is it possible to get a negative value for t but not for F?

An interaction ______.

There are 4 treatment conditions in one-way ANOVA when k = 5.

Scheffe's test is a conservative post-hoc test and LSD is not a very conservative post-hoc test. This means ______ with Scheffe's test than with an LSD test.

The F ratio ______.

If n = 25 and k = 5, what is Fcrit when α = .05?

2 = .5 indicates that 50% of the ______.

For one-way ANOVA, when  = .05, the critical value when dfB = 3 and dfW = 10 is 8.79.

Within groups variability estimates the degree to which group means vary from one another within ANOVA.

Why should you use an ANOVA instead of multiple independent-samples t-tests?

One-way ANOVA can be both directional and non-directional.

Sum of squares is ______.

A commonly used post-hoc test is ______.

When calculating an ANOVA, you are most likely to see a significant difference between groups when ______.

You collect data on the length sales calls from four departments within an organization. For this scenario, what is k?

For one-way ANOVA, if 2 = .6, 6% of the variability in the outcome is attributable to group membership.

In post-hoc tests, the critical mean difference is used to determine if ______.

If n = 12 and k = 4, what is dfW?

For one-way ANOVA, when  = .01, the critical value when dfB = 3 and n = 20 is 5.29.

Scheffe's test is the best post-hoc to use after a statistically significant one-way ANOVA.

The Language of Statistics

Working With Numbers and Data Display

Central Tendency and Variability

Probability Distributions

Sampling Distributions

Estimation and Confidence Intervals

Hypothesis Testing

Tests for Significance: Z-Tests and One-Sample T-Tests

Tests for Significance: Paired and Independent-Samples T-Test

CHI-Squared Tests of Fit

Correlation R and Regression Y BX A

Matching Statistical Tests to Business Problems

Filters

If n = 25 and k = 5, what is F_critwhen α = .05?

² = .5 indicates that 50% of the ______.

For one-way ANOVA, when  = .05, the critical value when df_B= 3 and df_W = 10 is 8.79.

For one-way ANOVA, if ² = .6, 6% of the variability in the outcome is attributable to group membership.

If n = 12 and k = 4, what is df_W?

For one-way ANOVA, when  = .01, the critical value when df_B= 3 and n = 20 is 5.29.