Question 1

A researcher conducts a within-subjects design and notes that scores increased at each level of the factor for all participants.Based on this description,does this test have high power to detect the effect?

Accepted Answer

A within-subjects design involves testing the same participants with different levels of the factor, allowing for greater control over individual differences. If scores consistently increase at each level of the factor for all participants, this suggests a strong and consistent effect. Therefore, the test has high power to detect the effect.

Question 2

Between-groups and between-persons variation are sources of error in the one-way within-subjects ANOVA.

Accepted Answer

Between-groups and between-persons variation are not sources of error in the one-way within-subjects ANOVA because this analysis is designed to assess differences within the same subjects over different conditions or time points, thus focusing on within-subject variation.

Question 3

The following results is reported for a one-way within-subjects ANOVA: F(2,27)= 3.55,p < .05 ( = -.14).Which value in the summary cannot be correct?

Accepted Answer

The effect size value cannot be negative.

Question 4

To summarize a one-way within-subjects ANOVA,we report each of the following except,______.

Accepted Answer

While the test statistic value, degree of freedom, and p value are all reported in a one-way within-subjects ANOVA, critical values are not typically reported.

Question 5

If df_BP = 4 and df_E = 12,then four groups must have been included in the study.

Accepted Answer

The degrees of freedom between groups (df_BP) is calculated as the number of groups minus one. Therefore, if df_BP = 4, there are 5 groups in the study, not four.

Question 6

If df_BG = 8,then 9 participants must have been observed in the study.

Accepted Answer

The given equation does not provide enough information to determine the number of participants in a study; it appears to be a nonsensical or coded string rather than a mathematical or statistical formula indicating participant count.

Question 7

For a within-subjects design,the degrees of freedom between groups are always equal to the degrees of freedom between persons.

Accepted Answer

Within-subjects design does not involve between-groups variability because all participants undergo all conditions. Therefore, there are no separate groups to compare, and there is no between-groups variability. The degrees of freedom are instead allocated to the sources of variance within participants (i.e., error variance, treatment variance, etc.).

Question 8

The between-persons variation is measured for the one-way within-subjects ANOVA.

Accepted Answer

The answer of The between-persons variation is measured for the...

Question 9

The following results is reported for a one-way within-subjects ANOVA: F(2,27)= 3.20,p < .05 ( = .14).Which value in the summary suggests that the design was within subjects?

Accepted Answer

The answer of The following results is reported for a...

Question 10

Because a one-way within-subjects ANOVA has two sources of error,it is generally associated with more error variability than a one-way between-subjects ANOVA.

Accepted Answer

A one-way within-subjects ANOVA typically has less error variability because it controls for individual differences by using the same subjects across all conditions, thus reducing the error variance compared to a one-way between-subjects ANOVA where different subjects are used in each condition.

Question 11

Partial estimates of effect size make the denominator ______ because the between-persons variability is removed.

Accepted Answer

Partial estimates of effect size make the denominator smaller because they remove the between-persons variability from the calculation, resulting in a more precise measure of the effect of interest. This is because partial estimates only consider the within-group variability, which is usually smaller than the total variability.

Question 12

If 12 participants are observed in each of four groups,then the degrees of freedom between persons is equal to 11.

Accepted Answer

The degrees of freedom between persons is calculated as the number of participants minus one, which is 12 - 1 = 11.

Question 13

A researcher conducts a one-way within-subjects ANOVA in which k = 3 and n = 10.She computes SS_BG = 120,SS_E = 198,and SS_T = 518.What is the effect size for this test using $\omega$²?

Accepted Answer

The answer of A researcher conducts a one-way within-subjects ANOVA...

Question 14

Based on the data given below,which study is associated with the most consistent participant responding between groups?
Study 1

Study 2

Accepted Answer

In Study 1, the standard deviation for participant responding is consistently lower across all conditions compared to Study 2. This suggests that Study 1 had more consistent participant responding between groups.

Question 15

Which of the following designs are associated with greater power to detect an effect,particularly when there is consistent participant responding between groups?

Accepted Answer

Within-subjects design has greater power to detect an effect when there is consistent participant responding between groups. This is because within-subjects design controls for individual differences by having participants serve as their own control, which reduces error variance and increases power.

Question 16

The sum of squares within groups and sum of squares between persons are both sources of error.

Accepted Answer

Both the sum of squares within groups and sum of squares between persons account for variability or error in the data. The sum of squares within groups measures the variation within each group, while the sum of squares between persons measures the variation between groups. Both sources of error contribute to the overall error in the statistical analysis.

Question 17

A one-way within-subjects ANOVA is typically associated with ______ power than the one-way between-subjects ANOVA.

Accepted Answer

One-way within-subjects ANOVA typically has larger power than the one-way between-subjects ANOVA. This is because within-subjects design provides greater control over individual differences and reduces the variability within groups. Therefore, it requires fewer participants and has higher power to detect significant differences.

Question 18

To compute a one-way within-subjects ANOVA,we must assume that participants are independently sampled between groups.

Accepted Answer

A one-way within-subjects ANOVA (also known as repeated measures ANOVA) is conducted on data where the same participants are measured multiple times under different conditions. Therefore, each participant serves as his/her own control, and the assumption of independence between groups is violated. Instead, the assumption is that the observations within each group (i.e. the different conditions) are correlated or related to each other.

Question 19

For the one-way within-subjects ANOVA,the more ______ participant responding between groups,the less powerful the test will be at detecting an effect.

Accepted Answer

In a one-way within-subjects ANOVA, the more inconsistent the participant responding is between groups, the more variability there is in the data and the less powerful the test will be at detecting a significant effect. Therefore, inconsistent participant responding is detrimental to the power of the test.

Question 20

To compute a one-way within-subjects ANOVA,we must assume both homogeneity of variance and homogeneity of covariance.

Accepted Answer

In a one-way within-subjects ANOVA, the assumption of homogeneity of variance is relevant to the equality of variances across groups, while the assumption of homogeneity of covariance (sphericity) pertains to the equality of variances of the differences between all possible pairs of within-subject conditions. Both assumptions are important for the validity of the test results.

Quiz 13: Analysis of Variance: One-Way Within-Subjects Repeated-Measuresdesign

A researcher conducts a within-subjects design and notes that scores increased at each level of the factor for all participants.Based on this description,does this test have high power to detect the effect?

Between-groups and between-persons variation are sources of error in the one-way within-subjects ANOVA.

The following results is reported for a one-way within-subjects ANOVA: F(2,27) = 3.55,p < .05 ( = -.14) .Which value in the summary cannot be correct?

To summarize a one-way within-subjects ANOVA,we report each of the following except,______.

If df_BP = 4 and df_E = 12,then four groups must have been included in the study.

If df_BG = 8,then 9 participants must have been observed in the study.

For a within-subjects design,the degrees of freedom between groups are always equal to the degrees of freedom between persons.

The between-persons variation is measured for the one-way within-subjects ANOVA.

The following results is reported for a one-way within-subjects ANOVA: F(2,27) = 3.20,p < .05 ( = .14) .Which value in the summary suggests that the design was within subjects?

Because a one-way within-subjects ANOVA has two sources of error,it is generally associated with more error variability than a one-way between-subjects ANOVA.

Partial estimates of effect size make the denominator ______ because the between-persons variability is removed.

If 12 participants are observed in each of four groups,then the degrees of freedom between persons is equal to 11.

A researcher conducts a one-way within-subjects ANOVA in which k = 3 and n = 10.She computes SS_BG = 120,SS_E = 198,and SS_T = 518.What is the effect size for this test using $\omega$ ²?

Based on the data given below,which study is associated with the most consistent participant responding between groups? Study 1 Study 2

Which of the following designs are associated with greater power to detect an effect,particularly when there is consistent participant responding between groups?

The sum of squares within groups and sum of squares between persons are both sources of error.

A one-way within-subjects ANOVA is typically associated with ______ power than the one-way between-subjects ANOVA.

To compute a one-way within-subjects ANOVA,we must assume that participants are independently sampled between groups.

For the one-way within-subjects ANOVA,the more ______ participant responding between groups,the less powerful the test will be at detecting an effect.

To compute a one-way within-subjects ANOVA,we must assume both homogeneity of variance and homogeneity of covariance.

Quiz 13: Analysis of Variance: One-Way Within-Subjects Repeated-Measuresdesign

A researcher conducts a within-subjects design and notes that scores increased at each level of the factor for all participants.Based on this description,does this test have high power to detect the effect?

Between-groups and between-persons variation are sources of error in the one-way within-subjects ANOVA.

The following results is reported for a one-way within-subjects ANOVA: F(2,27) = 3.55,p < .05 ( = -.14) .Which value in the summary cannot be correct?

To summarize a one-way within-subjects ANOVA,we report each of the following except,______.

If dfBP = 4 and dfE = 12,then four groups must have been included in the study.

If dfBG = 8,then 9 participants must have been observed in the study.

For a within-subjects design,the degrees of freedom between groups are always equal to the degrees of freedom between persons.

The between-persons variation is measured for the one-way within-subjects ANOVA.

The following results is reported for a one-way within-subjects ANOVA: F(2,27) = 3.20,p < .05 ( = .14) .Which value in the summary suggests that the design was within subjects?

Because a one-way within-subjects ANOVA has two sources of error,it is generally associated with more error variability than a one-way between-subjects ANOVA.

Partial estimates of effect size make the denominator ______ because the between-persons variability is removed.

If 12 participants are observed in each of four groups,then the degrees of freedom between persons is equal to 11.

A researcher conducts a one-way within-subjects ANOVA in which k = 3 and n = 10.She computes SSBG = 120,SSE = 198,and SST = 518.What is the effect size for this test using ω\omegaω 2?

Based on the data given below,which study is associated with the most consistent participant responding between groups? Study 1 Study 2

Which of the following designs are associated with greater power to detect an effect,particularly when there is consistent participant responding between groups?

The sum of squares within groups and sum of squares between persons are both sources of error.

A one-way within-subjects ANOVA is typically associated with ______ power than the one-way between-subjects ANOVA.

To compute a one-way within-subjects ANOVA,we must assume that participants are independently sampled between groups.

For the one-way within-subjects ANOVA,the more ______ participant responding between groups,the less powerful the test will be at detecting an effect.

To compute a one-way within-subjects ANOVA,we must assume both homogeneity of variance and homogeneity of covariance.

If df_BP = 4 and df_E = 12,then four groups must have been included in the study.

If df_BG = 8,then 9 participants must have been observed in the study.

A researcher conducts a one-way within-subjects ANOVA in which k = 3 and n = 10.She computes SS_BG = 120,SS_E = 198,and SS_T = 518.What is the effect size for this test using $\omega$ ²?