Question 1

Which of the following is a correct representation of the F-statistic?

Accepted Answer

A)  within-treatment variance/between-treatments variance 
B)  MSwi/MSbet 
C)  MSbet/MSwi 
D)  error variance/treatment-variance 
A)  within-treatment variance/between-treatments variance 
B)  MSwi/MSbet 
C)  MSbet/MSwi 
D)  error variance/treatment-variance C

Question 2

Within treatment variance in a one-way ANOVA is made up of

Accepted Answer

A)  individual differences. 
B)  experimental error. 
C)  the effects of treatment. 
D)  both "a" and "b" above. 
A)  individual differences. 
B)  experimental error. 
C)  the effects of treatment. 
D)  both "a" and "b" above. D

Question 3

Which of the following is a correctly stated alternative hypothesis for a one-way ANOVA?

Accepted Answer

A)  μ₁ = μ₂ = μ₃ 
B)  μ₁ ≤ μ₂ ≤ μ₃ 
C)  M₁ ≠ M₂ ≠ M₃ 
D)  some μs are not equal. 
A)  μ₁ = μ₂ = μ₃ 
B)  μ₁ ≤ μ₂ ≤ μ₃ 
C)  M₁ ≠ M₂ ≠ M₃ 
D)  some μs are not equal. D

Question 4

When is a post hoc test conducted and what is its purpose?

Accepted Answer

A post hoc test is conducted a

Question 5

A manufacturing company has developed a new specialized hand operated can opener which can only be assembled manually. However, there are different methods for assembling the opener. The CEO of the company hires a research consultant to determine which of four methods is the fastest. Twenty employees were randomly assigned to a different method. After one hour, the average number of can openers assembled was recorded for each method. The mean number of openers that were assembled for each method are shown below along with other summary values. Conduct a one-way ANOVA with an α = .05. If appropriate, follow up with Tukey's HSD.

Accepted Answer

One-way ANOVA for methods for assembling

Question 6

What obtained F-value is predicted by the null hypothesis? Explain the reason for this by describing the variance components that make up the F-statistic.

Accepted Answer

The null hypothesis predicts that the ob

Question 7

Given the summary values for a one-way ANOVA: SSbet = 63, SSwi = 48, dfbet = 3, and dfwi = 16, what is Fobt?

Accepted Answer

A)  3 
B)  21 
C)  7 
D)  1.31 
A)  3 
B)  21 
C)  7 
D)  1.31

Question 8

Given N = 12, k = 3, and α = .05 for a one-way ANOVA, what is Fcrit?

Accepted Answer

A)  4.26 
B)  8.02 
C)  3.86 
D)  3.49 
A)  4.26 
B)  8.02 
C)  3.86 
D)  3.49

Question 9

Given the information below, determine Fcrit and decide if H₀ should be rejected.

Accepted Answer

F_crit values a

Question 10

Given the summary values for a one-way ANOVA: SSwi = 78, k = 4, and n = 8 for each group, what is MSwi?

Accepted Answer

A)  2.79 
B)  19.5 
C)  11.14 
D)  26 
A)  2.79 
B)  19.5 
C)  11.14 
D)  26

Question 11

Why is it inappropriate to use multiple t tests to examine the differences between the means of several different groups?

Accepted Answer

Using multiple t tes

Question 12

Examples of experimental error include all of the following, except

Accepted Answer

A)  poorly written questions on the assessment instrument. 
B)  background noises. 
C)  body chemistry. 
D)  the researcher falling asleep during measurement. 
A)  poorly written questions on the assessment instrument. 
B)  background noises. 
C)  body chemistry. 
D)  the researcher falling asleep during measurement.

Question 13

Within-treatment variance

Accepted Answer

A)  is considered to be the result of random error. 
B)  is the result of treatment. 
C)  involves treating participants between groups differently. 
D)  involves treating participants within each group differently. 
A)  is considered to be the result of random error. 
B)  is the result of treatment. 
C)  involves treating participants between groups differently. 
D)  involves treating participants within each group differently.

Question 14

The correct symbolic notation for eta squared is

Accepted Answer

A)  r² 
B)  σ² 
C)  α² 
D)  η² 
A)  r² 
B)  σ² 
C)  α² 
D)  η²

Question 15

Which of the following statements is true regarding a one-way ANOVA?

Accepted Answer

A)  Three df values are required to determine Fcrit. 
B)  There are no two-tailed tests. 
C)  Obtained F-values can be either positive or negative. 
D)  If H₀ is true, Fobt will be 0. 
A)  Three df values are required to determine Fcrit. 
B)  There are no two-tailed tests. 
C)  Obtained F-values can be either positive or negative. 
D)  If H₀ is true, Fobt will be 0.

Question 16

Which of the following is NOT an assumption for a one-way ANOVA?

Accepted Answer

A)  independent and random selection of subjects 
B)  interval or ratio scores for the dependent variable 
C)  normal distribution of scores in the population 
D)  unequal variances in the population 
A)  independent and random selection of subjects 
B)  interval or ratio scores for the dependent variable 
C)  normal distribution of scores in the population 
D)  unequal variances in the population

Question 17

If SSbet = 120 and SStot = 220, what is SSwi?

Accepted Answer

A)  .5455 
B)  100 
C)  120 
D)  340 
A)  .5455 
B)  100 
C)  120 
D)  340

Question 18

Experiment-wise alpha level

Accepted Answer

A)  is the accumulated probability of a Type I error. 
B)  is the accumulated probability of a Type II error. 
C)  involves changing the alpha level for each group comparison. 
D)  is the decision by the experimenter to use the most reasonable alpha level. 
A)  is the accumulated probability of a Type I error. 
B)  is the accumulated probability of a Type II error. 
C)  involves changing the alpha level for each group comparison. 
D)  is the decision by the experimenter to use the most reasonable alpha level.

Question 19

You have conducted an ANOVA test using several different groups and H₀ was rejected. How can you best determine which groups differed significantly?

Accepted Answer

A)  Conduct t tests for two groups at a time. 
B)  Use Tukey's HSD. 
C)  Use eta squared. 
D)  Use chi-square. 
A)  Conduct t tests for two groups at a time. 
B)  Use Tukey's HSD. 
C)  Use eta squared. 
D)  Use chi-square.

Question 20

To determine dfbet for a one-way ANOVA, use _________.

Accepted Answer

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

Which of the following is a correct representation of the F-statistic?

Within treatment variance in a one-way ANOVA is made up of

Which of the following is a correctly stated alternative hypothesis for a one-way ANOVA?

When is a post hoc test conducted and what is its purpose?

What obtained F-value is predicted by the null hypothesis? Explain the reason for this by describing the variance components that make up the F-statistic.

Given the summary values for a one-way ANOVA: SS_bet = 63, SS_wi = 48, df_bet = 3, and df_wi = 16, what is F_obt?

Given N = 12, k = 3, and α = .05 for a one-way ANOVA, what is F_crit?

Given the information below, determine F_crit and decide if H₀ should be rejected.

Given the summary values for a one-way ANOVA: SS_wi = 78, k = 4, and n = 8 for each group, what is MS_wi?

Why is it inappropriate to use multiple t tests to examine the differences between the means of several different groups?

Examples of experimental error include all of the following, except

Within-treatment variance

The correct symbolic notation for eta squared is

Which of the following statements is true regarding a one-way ANOVA?

Which of the following is NOT an assumption for a one-way ANOVA?

If SS_bet = 120 and SS_tot = 220, what is SS_wi?

Experiment-wise alpha level

You have conducted an ANOVA test using several different groups and H₀ was rejected. How can you best determine which groups differed significantly?

To determine df_bet for a one-way ANOVA, use _________.

Organizing Data Using Tables and Graphs

Measures of Central Tendency

Measures of Variability

Z-Scores and Other Standard Scores

Probability and the Normal Distribution

Sampling Distribution of Means

Hypothesis Testing

One-Sample T-Test

Two-Sample T-Test: Independent Samples Design

Two-Sample T-Test: Related Samples Design

Confidence Interval Versus Point Estimation

Factorial Analysis of Variance

Correlation and Regression

Chi-Square

Introduction to Statistics

Nonparametric Statistics for Ordinal Data

Filters

Exam 13: One-Way Analysis of Variance

Which of the following is a correct representation of the F-statistic?

Within treatment variance in a one-way ANOVA is made up of

Which of the following is a correctly stated alternative hypothesis for a one-way ANOVA?

When is a post hoc test conducted and what is its purpose?

What obtained F-value is predicted by the null hypothesis? Explain the reason for this by describing the variance components that make up the F-statistic.

Given the summary values for a one-way ANOVA: SSbet = 63, SSwi = 48, dfbet = 3, and dfwi = 16, what is Fobt?

Given N = 12, k = 3, and α = .05 for a one-way ANOVA, what is Fcrit?

Given the information below, determine Fcrit and decide if H₀ should be rejected.

Given the summary values for a one-way ANOVA: SSwi = 78, k = 4, and n = 8 for each group, what is MSwi?

Why is it inappropriate to use multiple t tests to examine the differences between the means of several different groups?

Examples of experimental error include all of the following, except

Within-treatment variance

The correct symbolic notation for eta squared is

Which of the following statements is true regarding a one-way ANOVA?

Which of the following is NOT an assumption for a one-way ANOVA?

If SSbet = 120 and SStot = 220, what is SSwi?

Experiment-wise alpha level

You have conducted an ANOVA test using several different groups and H₀ was rejected. How can you best determine which groups differed significantly?

To determine dfbet for a one-way ANOVA, use _________.

Organizing Data Using Tables and Graphs

Measures of Central Tendency

Measures of Variability

Z-Scores and Other Standard Scores

Probability and the Normal Distribution

Sampling Distribution of Means

Hypothesis Testing

One-Sample T-Test

Two-Sample T-Test: Independent Samples Design

Two-Sample T-Test: Related Samples Design

Confidence Interval Versus Point Estimation

Factorial Analysis of Variance

Correlation and Regression

Chi-Square

Introduction to Statistics

Nonparametric Statistics for Ordinal Data

Filters

Given the summary values for a one-way ANOVA: SS_bet = 63, SS_wi = 48, df_bet = 3, and df_wi = 16, what is F_obt?

Given N = 12, k = 3, and α = .05 for a one-way ANOVA, what is F_crit?

Given the information below, determine F_crit and decide if H₀ should be rejected.

Given the summary values for a one-way ANOVA: SS_wi = 78, k = 4, and n = 8 for each group, what is MS_wi?

If SS_bet = 120 and SS_tot = 220, what is SS_wi?

To determine df_bet for a one-way ANOVA, use _________.