Question 1

A researcher reports a F-ratio from a one-way ANOVA with df 2,33. Which of the following is accurate for this scenario:

Accepted Answer

A)  The study had 2 treatment conditions and 33 participants. 
B)  The study had 3 treatment conditions and 33 participants. 
C)  The study had 3 treatment conditions and 35 participants. 
D)  The study had 3 treatment conditions and 36 participants. 
A)  The study had 2 treatment conditions and 33 participants. 
B)  The study had 3 treatment conditions and 33 participants. 
C)  The study had 3 treatment conditions and 35 participants. 
D)  The study had 3 treatment conditions and 36 participants.

Question 2

The alternative hypothesis for an ANOVA where k = 3 can be written as μ1 ≠ μ2 ≠ μ3.

Accepted Answer

A) True 
 B)False

Question 3

You collect data on the length sales calls from four departments within an organization. Which of the following would the appropriate representation of the null hypothesis:

Accepted Answer

A)  μ1 = μ2 = μ3 
B)  μ1 = μ2 
C)  μ1 = μ2 = μ3 = μ4 
D)  none of these 
A)  μ1 = μ2 = μ3 
B)  μ1 = μ2 
C)  μ1 = μ2 = μ3 = μ4 
D)  none of these

Question 4

$  \quad $  $  \quad $  $  \quad $  $  \quad $  $  \quad $  $  \quad $  $  \quad $  $  \quad $ $\text { Survey }$
$\begin{array}{|c|c|c|c|}
\hline \text { Sales } & \text { Service } & \text { Warehouse } & \text { Management } \
\hline 3 & 2 & 2 & 4 \
\hline 1 & 3 & 4 & 3 \
\hline 3 & 4 & 2 & 4 \
\hline 2 & 4 & 2 & 4 \
\hline 2 & 3 & 2 & 3 \
\hline
\end{array}$ You would like to compare employees in each of the four departments of your organization: the sales department, the service department, the warehouse, and management. Specifically, you want to know if job satisfaction survey scores are different due to Department.
1) What is the research question?
2) What are the hypotheses?
3) What are the degrees of freedom?
4) What is the critical value for this test?
5) Create an ANOVA summary table.
6) State the formal results of the test.
7) Should you compute a measure of the overall effect size? How do you know? If so, calculate this effect size.
8) What is the critical mean difference for Scheffe's test?
9) Should you conduct post-hoc tests? Why or why not?
10) Which groups are significantly different from one another?
11) State all appropriate conclusions.

Accepted Answer

1) RQ: Are there differences in Survey b

Question 5

Between groups variability is the degree to which members of a group vary from one another within ANOVA.

Accepted Answer

A) True 
 B)False

Question 6

You conduct a one-way ANOVA and find that managers and salespeople are in one homogeneous subgroup, whereas salespeople and warehouse employees are in a second homogeneous subgroup. This means that salespeople ______.

Accepted Answer

A)  are the same as both managers and warehouse employees 
B)  cannot be distinguished from managers or warehouse employees 
C)  are different from managers and warehouse employees 
D)  none of these 
A)  are the same as both managers and warehouse employees 
B)  cannot be distinguished from managers or warehouse employees 
C)  are different from managers and warehouse employees 
D)  none of these

Question 7

A measure of overall effect size for one-way ANOVA is ______.

Accepted Answer

A)  the F statistic 
B)  F1F1F1S1F1F1F102 
C)  Cohen's d 
D)  post hoc tests 
A)  the F statistic 
B)  F1F1F1S1F1F1F102 
C)  Cohen's d 
D)  post hoc tests

Question 8

If the F-ratio is close to 1 ______.

Accepted Answer

A)  the variability between the groups is approximately equal to the variability within the groups 
B)  there is likely a statistically significant difference between the group means 
C)  the mean difference between the groups is very large 
D)  it is impossible to determine without additional information 
A)  the variability between the groups is approximately equal to the variability within the groups 
B)  there is likely a statistically significant difference between the group means 
C)  the mean difference between the groups is very large 
D)  it is impossible to determine without additional information

Question 9

An ANOVA is a hypothesis test where the variance of group means is compared to variance within those groups.

Accepted Answer

A) True 
 B)False

Question 10

Degrees of freedom in one-way ANOVA must always be positive.

Accepted Answer

A) True 
 B)False

Question 11

For which of the following scenarios would you be most likely to have a significant F-ratio?

Accepted Answer

A)  SSB = 10 and SSW = 10 
B)  SSB = 10 and SSW = 1 
C)  SSB = 1 and SSW = 1 
D)  SSB = 1 and SSW = 10 
A)  SSB = 10 and SSW = 10 
B)  SSB = 10 and SSW = 1 
C)  SSB = 1 and SSW = 1 
D)  SSB = 1 and SSW = 10

Question 12

In one-way ANOVA, post hoc tests are used to determine ______.

Accepted Answer

A)  if an F test is statistically significant 
B)  the overall effect size in one-way ANOVA 
C)  the critical mean difference 
D)  none of these 
A)  if an F test is statistically significant 
B)  the overall effect size in one-way ANOVA 
C)  the critical mean difference 
D)  none of these

Question 13

Sum of squares is related to variance in that variance is ______.

Accepted Answer

A)  sum of squares divided by the number of subjects 
B)  sum of squares divided by degrees of freedom 
C)  the median sum of squares 
D)  none of these 
A)  sum of squares divided by the number of subjects 
B)  sum of squares divided by degrees of freedom 
C)  the median sum of squares 
D)  none of these

Question 14

A mean square is ______.

Accepted Answer

A)  the average variability per subject 
B)  the median variability per degree of freedom 
C)  the average variability per degree of freedom 
D)  the median variability per subject 
A)  the average variability per subject 
B)  the median variability per degree of freedom 
C)  the average variability per degree of freedom 
D)  the median variability per subject

Question 15

The critical F used in Scheffe's test after a one-way ANOVA is the same critical F used in to determine overall significance for one-way ANOVA.

Accepted Answer

A) True 
 B)False

Question 16

An interaction is the unique combined effect of two variables that you would not expect from the effect of each variable alone.

Accepted Answer

A) True 
 B)False

Question 17

When identifying homogeneous subgroups, a larger critical mean difference would be most likely to result in ______.

Accepted Answer

A)  more homogeneous subgroups 
B)  fewer homogeneous subgroups 
C)  the same number of homogeneous subgroups 
D)  none of these 
A)  more homogeneous subgroups 
B)  fewer homogeneous subgroups 
C)  the same number of homogeneous subgroups 
D)  none of these

Question 18

F-ratios can be less than 1.

Accepted Answer

A) True 
 B)False

Question 19

The statistical test for one-way ANOVA is ______.

Accepted Answer

A)  right-tailed 
B)  left-tailed 
C)  non-directional 
D)  none of these 
A)  right-tailed 
B)  left-tailed 
C)  non-directional 
D)  none of these

Question 20

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

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

A researcher reports a F-ratio from a one-way ANOVA with df 2,33. Which of the following is accurate for this scenario:

The alternative hypothesis for an ANOVA where k = 3 can be written as μ₁≠ μ₂≠ μ_3.

You collect data on the length sales calls from four departments within an organization. Which of the following would the appropriate representation of the null hypothesis:

Between groups variability is the degree to which members of a group vary from one another within ANOVA.

You conduct a one-way ANOVA and find that managers and salespeople are in one homogeneous subgroup, whereas salespeople and warehouse employees are in a second homogeneous subgroup. This means that salespeople ______.

A measure of overall effect size for one-way ANOVA is ______.

If the F-ratio is close to 1 ______.

An ANOVA is a hypothesis test where the variance of group means is compared to variance within those groups.

Degrees of freedom in one-way ANOVA must always be positive.

For which of the following scenarios would you be most likely to have a significant F-ratio?

In one-way ANOVA, post hoc tests are used to determine ______.

Sum of squares is related to variance in that variance is ______.

A mean square is ______.

The critical F used in Scheffe's test after a one-way ANOVA is the same critical F used in to determine overall significance for one-way ANOVA.

An interaction is the unique combined effect of two variables that you would not expect from the effect of each variable alone.

When identifying homogeneous subgroups, a larger critical mean difference would be most likely to result in ______.

F-ratios can be less than 1.

The statistical test for one-way ANOVA is ______.

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

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

A researcher reports a F-ratio from a one-way ANOVA with df 2,33. Which of the following is accurate for this scenario:

The alternative hypothesis for an ANOVA where k = 3 can be written as μ1 ≠ μ2 ≠ μ3.

You collect data on the length sales calls from four departments within an organization. Which of the following would the appropriate representation of the null hypothesis:

Between groups variability is the degree to which members of a group vary from one another within ANOVA.

You conduct a one-way ANOVA and find that managers and salespeople are in one homogeneous subgroup, whereas salespeople and warehouse employees are in a second homogeneous subgroup. This means that salespeople ______.

A measure of overall effect size for one-way ANOVA is ______.

If the F-ratio is close to 1 ______.

An ANOVA is a hypothesis test where the variance of group means is compared to variance within those groups.

Degrees of freedom in one-way ANOVA must always be positive.

For which of the following scenarios would you be most likely to have a significant F-ratio?

In one-way ANOVA, post hoc tests are used to determine ______.

Sum of squares is related to variance in that variance is ______.

A mean square is ______.

The critical F used in Scheffe's test after a one-way ANOVA is the same critical F used in to determine overall significance for one-way ANOVA.

An interaction is the unique combined effect of two variables that you would not expect from the effect of each variable alone.

When identifying homogeneous subgroups, a larger critical mean difference would be most likely to result in ______.

F-ratios can be less than 1.

The statistical test for one-way ANOVA is ______.

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

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

The alternative hypothesis for an ANOVA where k = 3 can be written as μ₁≠ μ₂≠ μ_3.

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