Question 1

When the same participants are observed in each cell or group,we use the two-way between-subjects ANOVA to analyze the data.

Accepted Answer

When the same participants are observed in each cell or group, we use the within-subjects ANOVA or repeated-measures ANOVA to analyze the data. The two-way between-subjects ANOVA is used when different participants are assigned to each cell or group.

Question 2

The means and standard error or standard deviations measured in a study can be summarized in,______.

Accepted Answer

All of these options are viable ways to summarize means, standard error, or standard deviations in a study. A figure can be useful to visually represent the data, a table can present the values in a clear and organized manner, and the main text of a report can provide context and interpretation of the results. Therefore, any of these options can be appropriate depending on the specifics of the study and the preferences of the researcher or audience.

Question 3

An estimate of effect size with the two-way ANOVA is typically reported for ______.

Accepted Answer

Effect size for a two-way ANOVA can be reported for both significant main effects and significant interaction effects, providing a measure of the magnitude of these effects.

Question 4

Homogeneity of co-occurrence is one assumption for computing a two-way between-subjects ANOVA.

Accepted Answer

The assumption of homogeneity in ANOVA refers to the homogeneity of variances, not the homogeneity of co-occurrence. This means that each group should have similar variances on the dependent variable.

Question 5

The assumptions for a two-way between-subjects ANOVA apply only to main effect tests,and not the interaction test.

Accepted Answer

The assumptions for a two-way between-subjects ANOVA apply to both main effect tests and the interaction test. Assumptions such as normality, homogeneity of variances, and independence of observations apply to all tests in ANOVA.

Question 6

For the effects of a two-way between-subjects ANOVA,which values must be known to compute effect size using $\omega$²?

Accepted Answer

To compute effect size using F1F1F1S1F1F1F10², we need all of the values - mean squares, sum of squares, and degrees of freedom.

Question 7

Using the two-way mixed ANOVA,different participants are observed at each level of the between-subjects factor,and the same participants are observed across the levels of the within-subjects factor.

Accepted Answer

In a two-way mixed ANOVA, the between-subjects factor refers to different groups of participants being observed at each level, while the within-subjects factor refers to the same participants being observed across the levels.

Question 8

To summarize any type of two-way ANOVA using APA format,we report each of the following except the,______.

Accepted Answer

In reporting a two-way ANOVA using APA format, we report the test statistic, p-value, and degrees of freedom. However, we do not report the critical values since these are not used in determining statistical significance.

Question 9

Using a two-way between-subjects ANOVA,we compute hypothesis tests for two main effects and one interaction.

Accepted Answer

A two-way between-subjects ANOVA allows us to test for two main effects (factors) and their interaction. Hence, the statement is true.

Question 10

If an interaction and a main effect are significant for a two-way between-subjects ANOVA,then the main effect must be analyzed first.

Accepted Answer

There is no strict order in analyzing significant effects in a two-way ANOVA. Both the interaction and main effects can provide important information about the study and should be analyzed appropriately.

Question 11

A researcher conducts a 2 * 3 between-subjects ANOVA.She finds a significant interaction,where SS_AXB = 120 and SS_T = 518.What is the effect size for this test using $\eta$²?

Accepted Answer

To calculate the effect size, we need to calculate the partial eta squared (ηp2) for the interaction term. ηp2 = SS(interaction) / (SS(interaction) + SS(error)) SS(interaction) = SS_AXB + SS_T = 120 + 518 = 638 SS(error) = total SS - SS(between) = 1450 - 638 = 812 ηp2 = 638 / (638 + 812) = 0.44 However, since this is a 2x3 design with unequal sample sizes, we need to use a correction factor for the degrees of freedom. The corrected formula for ηp2 is: ηp2 = SS(interaction) / [(SS(interaction) + SS(error)) / (N - number of cells)] N = 40 in this design (20 in each of the six cells) ηp2 = 638 / [(638 + 812) / (40 - 6)] = 0.23 Therefore, the effect size is 0.23.

Question 12

A researcher groups college students in a study based on their year in college (freshman,sophomore,junior,senior)and the type of college they attend (junior,technical,university).He concludes that perceptions of academic cheating are more positive among freshman attending junior college.To reach this conclusion,which statistical test would need to be computed?

Accepted Answer

The researcher is analyzing the effects of two independent variables (year in college and type of college) on perceptions of academic cheating, which suggests the need for a two-way between-subjects ANOVA to understand the interaction and main effects. Upon finding significant results, a simple main effect test would be necessary to examine the effects of one independent variable at each level of the other variable. Finally, if significant interactions or main effects are found, post hoc tests would be required to determine which groups differ from each other. Thus, all these statistical tests would be needed to reach the conclusion described.

Question 13

A complete factorial design is one in which each level of one factor is combined or crossed with each level of the other factor.

Accepted Answer

A complete factorial design involves combining each level of one factor with each level of the other factor, creating all possible combinations. This allows for testing the impact of each factor and their interactions on the outcome variable.

Question 14

A two-way ANOVA is a statistical procedure used to test hypotheses concerning the variance of two group means for the levels of one factor.

Accepted Answer

A two-way ANOVA is used to examine the interaction between two independent variables on a dependent variable, not just the variance of two group means for one factor.

Question 15

There are two factors and four cells in a 2 * 2 between-subjects ANOVA.

Accepted Answer

A 2 F1F1F1S1F1F1F10 design involves two factors (F1 and S1) with one level each and one factor (F10) with two levels. This leads to four cells in the between-subjects design.

Question 16

For the effects of a two-way between-subjects ANOVA,which values must be known to compute effect size using $\eta$²?

Accepted Answer

To compute effect size using $\eta^2$, you need the sum of squares for each effect and the total sum of squares.

Question 17

For a two-way ANOVA,the ______ should also be reported for each significant hypothesis test and for the simple main effect tests.

Accepted Answer

Effect size is important for interpreting the practical significance of the results and can indicate the strength of the relationship between the variables. Critical values are necessary for determining statistical significance but do not provide information about the practical significance of the results. Individual participant data may be useful for further exploratory analyses but are not necessary for reporting the results of a two-way ANOVA. Therefore, choice A is the best choice.

Question 18

A researcher conducts two studies using the two-way between-subjects ANOVA.The sum of squares total is smaller in Study 1 than in Study 2; the sum of squares for Factor A is the same in both studies.In which study will the effect size be larger for Factor A using $\omega$²?

Accepted Answer

The effect size for Factor A (ω²) is calculated relative to the total variance in the data. If the sum of squares total is smaller in Study 1 while the sum of squares for Factor A remains the same in both studies, the proportion of variance accounted for by Factor A is larger in Study 1, leading to a larger effect size for Factor A in Study 1.

Question 19

Homogeneity of variance is one assumption for the two-way between-subjects ANOVA.

Accepted Answer

Homogeneity of variance means that the variances of the groups being compared are equal. This assumption is important in order to accurately interpret the results of a two-way between-subjects ANOVA.

Question 20

The following is a summary of a significant interaction for a two-way ANOVA: F(2,30)= 2.04,p < .05 ($\eta$² = .15).Assuming the test statistic value is correct,then which of the following must be incorrect in this report?

Accepted Answer

Since the p value is reported as less than .05, this means that the result is statistically significant. However, the effect size (η2) is very small at .15, which suggests that the practical significance of the result may be limited. The degrees of freedom and test statistic value appear to be correct based on the information given.

Quiz 14: Analysis of Variance: Two-Way Between-Subjects Factorial Design

When the same participants are observed in each cell or group,we use the two-way between-subjects ANOVA to analyze the data.

The means and standard error or standard deviations measured in a study can be summarized in,______.

An estimate of effect size with the two-way ANOVA is typically reported for ______.

Homogeneity of co-occurrence is one assumption for computing a two-way between-subjects ANOVA.

The assumptions for a two-way between-subjects ANOVA apply only to main effect tests,and not the interaction test.

For the effects of a two-way between-subjects ANOVA,which values must be known to compute effect size using $\omega$ ²?

Using the two-way mixed ANOVA,different participants are observed at each level of the between-subjects factor,and the same participants are observed across the levels of the within-subjects factor.

To summarize any type of two-way ANOVA using APA format,we report each of the following except the,______.

Using a two-way between-subjects ANOVA,we compute hypothesis tests for two main effects and one interaction.

If an interaction and a main effect are significant for a two-way between-subjects ANOVA,then the main effect must be analyzed first.

A researcher conducts a 2 * 3 between-subjects ANOVA.She finds a significant interaction,where SS_AXB = 120 and SS_T = 518.What is the effect size for this test using $\eta$ ²?

A complete factorial design is one in which each level of one factor is combined or crossed with each level of the other factor.

A two-way ANOVA is a statistical procedure used to test hypotheses concerning the variance of two group means for the levels of one factor.

There are two factors and four cells in a 2 * 2 between-subjects ANOVA.

For the effects of a two-way between-subjects ANOVA,which values must be known to compute effect size using $\eta$ ²?

For a two-way ANOVA,the ______ should also be reported for each significant hypothesis test and for the simple main effect tests.

A researcher conducts two studies using the two-way between-subjects ANOVA.The sum of squares total is smaller in Study 1 than in Study 2; the sum of squares for Factor A is the same in both studies.In which study will the effect size be larger for Factor A using $\omega$ ²?

Homogeneity of variance is one assumption for the two-way between-subjects ANOVA.

The following is a summary of a significant interaction for a two-way ANOVA: F(2,30) = 2.04,p < .05 ( $\eta$ ² = .15) .Assuming the test statistic value is correct,then which of the following must be incorrect in this report?

Quiz 14: Analysis of Variance: Two-Way Between-Subjects Factorial Design

When the same participants are observed in each cell or group,we use the two-way between-subjects ANOVA to analyze the data.

The means and standard error or standard deviations measured in a study can be summarized in,______.

An estimate of effect size with the two-way ANOVA is typically reported for ______.

Homogeneity of co-occurrence is one assumption for computing a two-way between-subjects ANOVA.

The assumptions for a two-way between-subjects ANOVA apply only to main effect tests,and not the interaction test.

For the effects of a two-way between-subjects ANOVA,which values must be known to compute effect size using ω\omegaω 2?

Using the two-way mixed ANOVA,different participants are observed at each level of the between-subjects factor,and the same participants are observed across the levels of the within-subjects factor.

To summarize any type of two-way ANOVA using APA format,we report each of the following except the,______.

Using a two-way between-subjects ANOVA,we compute hypothesis tests for two main effects and one interaction.

If an interaction and a main effect are significant for a two-way between-subjects ANOVA,then the main effect must be analyzed first.

A researcher conducts a 2 * 3 between-subjects ANOVA.She finds a significant interaction,where SSAXB = 120 and SST = 518.What is the effect size for this test using η\etaη 2?

A complete factorial design is one in which each level of one factor is combined or crossed with each level of the other factor.

A two-way ANOVA is a statistical procedure used to test hypotheses concerning the variance of two group means for the levels of one factor.

There are two factors and four cells in a 2 * 2 between-subjects ANOVA.

For the effects of a two-way between-subjects ANOVA,which values must be known to compute effect size using η\etaη 2?

For a two-way ANOVA,the ______ should also be reported for each significant hypothesis test and for the simple main effect tests.

A researcher conducts two studies using the two-way between-subjects ANOVA.The sum of squares total is smaller in Study 1 than in Study 2; the sum of squares for Factor A is the same in both studies.In which study will the effect size be larger for Factor A using ω\omegaω 2?

Homogeneity of variance is one assumption for the two-way between-subjects ANOVA.

The following is a summary of a significant interaction for a two-way ANOVA: F(2,30) = 2.04,p < .05 ( η\etaη 2 = .15) .Assuming the test statistic value is correct,then which of the following must be incorrect in this report?

For the effects of a two-way between-subjects ANOVA,which values must be known to compute effect size using $\omega$ ²?

A researcher conducts a 2 * 3 between-subjects ANOVA.She finds a significant interaction,where SS_AXB = 120 and SS_T = 518.What is the effect size for this test using $\eta$ ²?

For the effects of a two-way between-subjects ANOVA,which values must be known to compute effect size using $\eta$ ²?

A researcher conducts two studies using the two-way between-subjects ANOVA.The sum of squares total is smaller in Study 1 than in Study 2; the sum of squares for Factor A is the same in both studies.In which study will the effect size be larger for Factor A using $\omega$ ²?

The following is a summary of a significant interaction for a two-way ANOVA: F(2,30) = 2.04,p < .05 ( $\eta$ ² = .15) .Assuming the test statistic value is correct,then which of the following must be incorrect in this report?