Statistics for Data Analyst

The post is about the MCQs Multivariate Quiz. There are 25 multiple-choice questions about Multivariate Analysis of Variance (MANOVA), its introduction, assumptions, interpretation, and real-life application. Let us start with the MCQs Multivariate Quiz.

Online multivariate statistics and Manova MCQs

1. An educational psychologist studies the influence of a child’s gender and their parent’s job on a number of behavioral outcomes. Based on the MANOVA output, for which of the following dependent variables was there an interaction effect?

 Co-operative

 Independent

 Conformist

 Pro-social

2. Which of the following statements is true of MANOVA?

 MANOVA allows us to have two or more DVs and one or more IVs

 MANOVA allows us to have two or more DVs and up to two IVs

 MANOVA allows us to have one DV and two or more IVs

 MANOVA allows us to have one DV and one IV

3. How does MANOVA handle the DVs in the analysis?

 The DVs are entered stepwise into an analysis

 The DVs are compiled into a linear combination

 The DVs are entered sequentially into a model

 The DVs are standardized and summed

4. Which F-value is typically reported in a MANOVA?

 Wilks’ lambda

 Pillai’s trace

 Roy’s largest root

 Hotelling’s trace

5. The problem of multiple comparisons is dealt with in MANOVA by:

 Setting the significance level at a higher level

 Using the Bonferroni correction

 Using a priori comparison procedures

 Combining several dependent variables in a similar way to what happens in discriminant function analysis

6. Which of the following has the closest relationship with MANOVA?

 Discriminant function analysis

 Wald statistic

 Durbin-Watson test

 Greenhouse-Geisser correction

7. An educational psychologist studies the influence of a child’s gender and their parent’s job on a number of behavioral outcomes. Based on the MANOVA output, which of the following is true?

 The only significant effect was the interaction

 Child’s gender and parental job were significant but there was no significant interaction

 Child’s gender, parental job and the interaction all had a significant effect

 The only significant effect was for the child’s gender

8. Which of the following is true?

 MANOVA can use scores as the dependent and independent variables

 MANOVA is usually best supplemented with a discriminant function analysis

 MANOVA is a more advanced version of ANOVA which can be used for the same data as ANOVA

 MANOVA is best used with frequency data

9. An educational psychologist studies the influence of a child’s gender and their parent’s job on a number of behavioral outcomes. Based on the MANOVA output, how many dependent variables are used?

 8

 2

 6

 5

10. What would this be interpreted as if Box’s M had an associated P-value of < 0.05?

 There are multivariate outliers present

 The corrected model should be accepted

 The data is normally distributed

 The assumption of homogeneity of variance-covariance matrices has been violated

11. What problem is associated with correlated DVs?

 It means that data is not normally distributed

 It introduces multivariate outliers

 The individual contribution of each DV is difficult to compute

 It adds a confounding variable

12. If MANOVA is statistically significant:

 There is no reason to carry out discriminant function analysis

 It is permissible to conduct ANOVA on each dependent variable without any adjustments to the significance levels for the multiple tests of significance

 It is legitimate to conclude that all groups are significantly different

 All of these

13. An educational psychologist studies the influence of a child’s gender and their parent’s job on a number of behavioral outcomes. Based on the MANOVA output, which dependent variables affected the child’s gender?

 Independent and Co-operative

 Pro-social, anti-social and independent

 Pro-social, anti-social and co-operative

 Pro-social ,anti-social and conformist

14. What would you use Box’s M test for?

 To examine homogeneity of variance-covariance matrices

 None of these

 To test for normal distribution

 To test for a plausible linear combination of the DVs

15. In MANOVA:

 The dependent variables should correlate moderately

 The dependent variables should show zero intercorrelations

 The dependent variables should correlate at the level of 0.8 or greater to prevent goodness of fit problems

 The independent variables should show a pattern of high, medium, and low correlations with the dependent variable

16. MANOVA can lose degrees of freedom:

 When the sample size is bigger than the number of dependent variables

 When several dependent variables are used

 In comparison to other approaches where the dependent variables are highly correlated

 In no circumstances since it effectively increases the degrees of freedom compared to other approaches

17. The Hotelling multivariate $t^2$:

 Is used to perform multiple-comparisons of the means on the combined dependent variable in MANOVA

 Is the equivalent of the t-test for multiple dependent variables

 Has nothing in common with MANOVA

 Is used in MANOVA to test whether the variances of the dependent variable meet the requirements of multifunctionality

18. In one-way MANOVA, which variable must be continuous?

 Independent Variable

 Moderating Variable

 Dependent Variable

 None of these

19. In MANOVA, there are:

 Several correlated independent variables at a minimum

 Requirements that the variables demonstrate heteroscedasticity

 Several dependent variables

 Especially stringent significance levels

20. Which of the following is true?

 The more dependent variables in a MANOVA the more statistically exacting is the outcome

 Centroid is the term for the mean score of a group on a discriminant function

 MANOVA uses the natural logarithm of the proportions in each group as the basis of its statistical calculation

 There should be equal numbers of independent and dependent variables in MANOVA

21. What use do multivariate analyses of variance have, if any?

 It does not have a need for post hoc testing

 It can identify the many facets of a psychological factor

 We can analyze many dependent variables in one analysis and reduce a type I error

 It doesn’t really have any use as it is perfectly adequate to use univariate analysis

22. In which of the following conditions can MANOVA be used? Check all possible options.

 One-Way

 Many Independent Variables

 With Covariates

 Two-Way

23. Which statistical technique is most similar to MANOVA?

 Factor analysis

 Variance ratio test

 Estimated standard error

 Analysis of variance

24. Where would you find the option for repeated measures MANOVA in SPSS?

 Multiple Response

 General Linear Model

 Regression

 Classify

25. MANOVA:

 Indicates that each of the dependent variables contributes equally to the test of significance

 None of these

 A significant MANOVA means that all of the dependent variables are significantly associated with the independent variables

 MANOVA makes assumptions which are rarely if ever met in research and so should be avoided

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Online MCQs Multivariate Quiz with Answers

• Which statistical technique is most similar to MANOVA?
• Which of the following has the closest relationship with MANOVA?
• In MANOVA, there are:
• In multivariate analysis of variance (MANOVA):
• The problem of multiple comparisons is dealt with in MANOVA by:
• MANOVA can lose degrees of freedom:
• Which of the following is true?
• The Hotelling multivariate $t^2$:
• MANOVA:
• If MANOVA is statistically significant:
• Which of the following is true?
• An educational psychologist studies the influence of a child’s gender and their parent’s job on a number of behavioral outcomes. Based on the MANOVA output, how many dependent variables are used?
• An educational psychologist studies the influence of a child’s gender and their parent’s job on a number of behavioral outcomes. Based on the MANOVA output, which of the following is true?
• An educational psychologist studies the influence of a child’s gender and their parent’s job on a number of behavioral outcomes. Based on the MANOVA output, which dependent variables affected the child’s gender?
• An educational psychologist studies the influence of a child’s gender and their parent’s job on a number of behavioral outcomes. Based on the MANOVA output, for which of the following dependent variables was there an interaction effect?
• How does MANOVA handle the DVs in the analysis?
• What would this be interpreted as if Box’s M had an associated P-value of < 0.05?
• What problem is associated with correlated DVs?
• What use do multivariate analyses of variance have, if any?
• What would you use Box’s M test for?
• Where would you find the option for repeated measures MANOVA in SPSS?
• Which F-value is typically reported in a MANOVA?
• Which of the following statements is true of MANOVA?
• In which of the following conditions can MANOVA be used? Check all possible options.
• In one-way MANOVA, which variable must be continuous?

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