MANOVA Multivariate Tests

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What is the primary advantage of using ANOVA over multiple t-tests when comparing means between multiple groups?

ANOVA is only used for metric variables

ANOVA is only used for categorical variables

ANOVA is less sensitive to Type I errors (correct)

ANOVA is more sensitive to Type I errors

In a mixed-design ANOVA, what is the combination of conditions?

Between-groups and multivariate

Between-groups and one-way

Between-groups and within-groups (correct)

Within-groups and one-way

What is the purpose of the F statistic in ANOVA?

To determine if there is a significant effect of the categorical variables on the metric variable (correct)

To determine the effect size of the mean difference

To determine the direction of the relationship between variables

To determine the significance of the interaction between variables

What is the ideal scenario for running ANOVA in terms of participants?

Equal numbers of participants in each group Signup and view all the answers

What is the term for the error of failing to find a significant difference where one does in fact exist in reality?

Type II error Signup and view all the answers

What is the purpose of the partial η2 (partial eta squared) in ANOVA?

To determine the effect size of the mean difference Signup and view all the answers

What is the term for the error of finding a significant difference where one does not exist in reality?

Type I error Signup and view all the answers

What type of ANOVA is conducted on one independent variable?

One-way ANOVA Signup and view all the answers

What is the purpose of Levene's test in ANOVA?

To test the homogeneity of variance Signup and view all the answers

What is the advantage of using multivariate tests in ANOVA?

To test the effect of multiple dependent variables simultaneously Signup and view all the answers

What is the purpose of including Mean Square Error (MSE) in an ANOVA?

To provide an estimate of the statistical error present in the ANOVA Signup and view all the answers

What is the primary difference between ANOVA and ANCOVA?

The control for another metric dependent variable Signup and view all the answers

In MANOVA, what is the assumption of homogeneity related to?

The variance / covariance matrix Signup and view all the answers

What is the purpose of running a multivariate test such as MANOVA?

To look for mean differences in multiple dependent variables Signup and view all the answers

What is the primary advantage of using MANOVA over running multiple ANOVA?

It provides a quick way to run multiple ANOVA without thinking about the relationships between the dependent variables Signup and view all the answers

What is the Levene's test used for in the context of MANOVA?

To test for homogeneity of the variance / covariance matrix Signup and view all the answers

What is the purpose of estimated marginal means in MANOVA?

To display the means for each level of the independent variables Signup and view all the answers

When testing for specific effects in MANOVA, what is the purpose of the Post Hoc option?

To follow up on significant interactions or main effects Signup and view all the answers

What is the primary limitation of interpreting complex MANOVA designs?

The difficulty in interpreting complex graphs Signup and view all the answers

What is the purpose of the Descriptive statistics option in MANOVA?

To provide a summary of the means and standard deviations of the dependent variables Signup and view all the answers

What is the purpose of conducting the F test assessing Box's M?

To ensure the assumption of homogeneity of variances is met Signup and view all the answers

What is the main outcome of a MANOVA?

Results indicating group differences in dependent variables Signup and view all the answers

What do estimated marginal means aim to control for in ANOVA?

Independent variables Signup and view all the answers

What is the primary difference between planned contrasts and post hoc testing?

Timing of conducting the tests Signup and view all the answers

Which type of contrast is often used in ANOVA designs to compare each group to a baseline group?

Simple contrasts Signup and view all the answers

What do Tukey's test and Student-Newman-Keuls (SNK) testing primarily differ in?

Control of Type I statistical errors Signup and view all the answers

Which statistical test aims to ensure equality of variances in ANOVA?

Levene's test Signup and view all the answers

What does an interaction term in ANOVA represent?

Multiplicative effect of independent variables Signup and view all the answers

How do estimated marginal means differ from raw means in ANOVA?

Control for other variables Signup and view all the answers

When is it appropriate to use complex polynomial contrasts in ANOVA?

When comparing multiple groups simultaneously Signup and view all the answers