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. In MANOVA:

 The dependent variables should show zero intercorrelations

 The dependent variables should correlate moderately

 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

2. If MANOVA is statistically significant:

 All of these

 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

3. 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?

 Pro-social, anti-social and independent

 Independent and Co-operative

 Pro-social ,anti-social and conformist

 Pro-social, anti-social and co-operative

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

 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

 It does not have a need for post hoc testing

 It can identify the many facets of a psychological factor

5. 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?

 2

 5

 6

 8

6. Which of the following is true?

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

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

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

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

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, for which of the following dependent variables was there an interaction effect?

 Independent

 Co-operative

 Conformist

 Pro-social

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

 Multiple Response

 Regression

 General Linear Model

 Classify

9. Which statistical technique is most similar to MANOVA?

 Variance ratio test

 Factor analysis

 Estimated standard error

 Analysis of variance

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

 The DVs are entered sequentially into a model

 The DVs are entered stepwise into an analysis

 The DVs are compiled into a linear combination

 The DVs are standardized and summed

11. Which of the following is true?

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

 MANOVA is usually best supplemented with a discriminant function analysis

 MANOVA is best used with frequency data

 MANOVA can use scores as the dependent and independent variables

12. In MANOVA, there are:

 Several correlated independent variables at a minimum

 Several dependent variables

 Requirements that the variables demonstrate heteroscedasticity

 Especially stringent significance levels

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

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

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

 None of these

 Dependent Variable

 Moderating Variable

 Independent Variable

15. 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?

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

 The only significant effect was the interaction

 The only significant effect was for the child’s gender

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

16. MANOVA:

 None of these

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

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

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

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

 Durbin-Watson test

 Wald statistic

 Discriminant function analysis

 Greenhouse-Geisser correction

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

 MANOVA allows us to have one DV and two 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 one IV

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

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

 Many Independent Variables

 One-Way

 Two-Way

 With Covariates

20. The Hotelling multivariate $t^2$:

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

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

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

 Has nothing in common with MANOVA

21. What problem is associated with correlated DVs?

 The individual contribution of each DV is difficult to compute

 It means that data is not normally distributed

 It adds a confounding variable

 It introduces multivariate outliers

22. 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

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

 To test for a plausible linear combination of the DVs

 To test for normal distribution

 To examine homogeneity of variance-covariance matrices

 None of these

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

 Wilks’ lambda

 Roy’s largest root

 Hotelling’s trace

 Pillai’s trace

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

 The data is normally distributed

 The corrected model should be accepted

 There are multivariate outliers present

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

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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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