Important MCQs Multivariate Statistics 4

The post is about MCQs Multivariate Statistics with Answers. It covers topics of Eigen values, Eigen Vectors, Moderation, and Mediation, etc.

Multiple Choice Questions about Multivariate Analysis with Answers.

1. If one of the Eigenvalues of $[A]_{n\times n}$ is zero, it implies – – – – – – -.

 The solution to $[A][X]=[C]$ system of equations is unique

 The determination of $[A]$ is zero.

 The solution to $[A][X]=[0]$ system of equations is trivial.

 The determinant of $[A]$ is non-zero.

2. ———— is a way to check whether that third variable influences the strength or direction of the relationship between an independent and dependent variable:

 Mediation

 Regression Analysis

 Moderation

 Mediator

3. A – – – – – – – – mediates the relationship between the independent and dependent variables explaining the reason for such a relationship to exist:

 Predictor

 Correlation

 Moderator

 Mediator

4. Why is it a good idea to center your variable when conducting a moderation analysis?

 Because it reduces multicollinearity between main effects and the interaction effect.

 It makes the data normally distributed.

 It ensures the relationship between predictor and outcomes is linear.

 It adds the interpretation of the indirect effect.

5. The word “Eigen” originates from  – – – – – – -.

 German

 French

 Latin

 Greek

6. Which of the following are violations of as assumption underlying regression analysis – – –  – – – – – .

 Heteroscedasticity

 All of the Options

 Multicollinearity

 Autocorrelation

7. Moderation effect is also known as – – – – – – – -.

 A moderate

 Mediation effect

 An interaction effect

 An inaction effect

8. The percentage of variance criteria specifies that the number of factors to be extracted is determined by the cumulative percentage of variance extracted reaching a satisfactory level. This level should be at least – – – – – – – -.

 50%

 90%

 70%

 30%

9. If a researcher wants to determine the amount of variance in the original variables that is associated with a factor, they would use?

 Beta Coefficients

 Factor Loadings

 Eigenvalues

 Communalities

10. Imagine we wanted to at the relationship between the number of hours spent practicing the guitar per week and skill level. If we had reason to believe that the strength or direction of the relationship between these variables would be affected by the level of enjoyment, what type of analysis should be conducted on these data?

 Mediation analysis

 ANCOVA

 Moderation analysis

 Two –way repeated-measures ANOVA

11. Which of the following is an orthogonal rotation in factor analysis – – – – – – – – -.

 Oblimin

 Oblimax

 Oblique

 Varimax

12. Eigenvalues may be equal to – – – – – – – – -.

 Zero

 Non-Zero

 0 and 1

 1

13. A moderator effect is where the size of the relationship one variable and another variable is:

 Equal to zero

 Statistically significant but not very strong

 Different for the values of a third

 Not statistically significant

14. Singular Matrices have Eigenvalues

 0 and 1

 Non Zero

 Negative Values

 Zero

15. Eigenvectors with distinct Eigenvalues are – – – – – – – – -.

 Idempotent

 Linearly Dependent

 Both Linearly Independent and Linear Dependent

 Linearly Independent

16. The word Eigen means – – – – – – – -‘

 Symmetric

 Linear

 Differential

 Proper, Characteristic

17. ———– analysis tests a hypothetical causal chain where one variable $X$ affects a second variable $M$ and, in turn, the variable affects a third variable $Y$:

 Autocorrelation

 Mediation

 Multicollinearity

 Moderation

18. The combined effect of two variables on one another is known conceptually as ————–, and in statistical terms as ————-.

 Moderation, a direct effect

 Mediation, an interaction effect

 Moderation, an interaction effect

 Mediation, a direct effect

19. If the Eigenvalues is negative the direction is – – – – – – – -.

 Forward

 Straight

 Reversed

 Both Straight and Reversed

20. Eigenvectors are by definition – – – – – – – – -.

 Zero

 Equivalent

 Both Zero and Equivalent

 Non-Zero

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Online MCQs Multivariate Statistics

• The word “Eigen” originates from  ——-.
• Eigenvectors are by definition ———.
• Eigenvalues may be equal to ———.
• Eigenvectors with distinct Eigenvalues are ———.
• Singular Matrices have Eigenvalues
• If the Eigenvalues are negative the direction is ——–.
• If one of the Eigenvalues of $[A]_{n\times n}$ is zero, it implies ——-.
• The word Eigen means ——–‘
• Which of the following is an orthogonal rotation in factor analysis ———.
• If a researcher wants to determine the amount of variance in the original variables that is associated with a factor, they would use?
• Which of the following are violations of as assumption underlying regression analysis ——–.
• The percentage of variance criteria specifies that the number of factors to be extracted is determined by the cumulative percentage of variance extracted reaching a satisfactory level. This level should be at least ———.
• A moderator effect is where the size of the relationship between one variable and another variable is:
• Moderation effect is also known as ——–.
• The combined effect of two variables on one another is known conceptually as ———–, and in statistical terms as ———–.
• Imagine we wanted to at the relationship between the number of hours spent practicing the guitar per week and skill level. If we had reason to believe that the strength or direction of the relationship between these variables would be affected by the level of enjoyment, what type of analysis should be conducted on these data?
• ———– analysis tests a hypothetical causal chain where one variable $X$ affects a second variable $M$ and, in turn, the variable affects a third variable $Y$:
• A ——– mediates the relationship between the independent and dependent variables explaining the reason for such a relationship to exist:
• ———— is a way to check whether that third variable influences the strength or direction of the relationship between an independent and dependent variable:
• Why is it a good idea to center your variable when conducting a moderation analysis?

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