## 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.

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

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

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

4. Singular Matrices have Eigenvalues

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

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

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

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

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

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

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

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

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

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

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

16. 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?

17. Eigenvectors are by definition – – – – – – – – -.

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

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

20. 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 – – – – – – – -.

#### 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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## Important Online Multivariate MCQ

Multivariate Analysis term includes all statistics for more than two simultaneously analyzed variables. The post contains a Multivariate Quiz.

### Online Multivariate MCQs

Multivariate analysis is based upon an underlying probability model known as the Multivariate Normal Distribution (MND). The objective of scientific investigations to which multivariate methods most naturally lend themselves includes. Multivariate analysis is a powerful technique for analyzing data that goes beyond the limitations of simpler, single-variable methods.

• Data reduction or structural simplification
The phenomenon being studied is represented as simply as possible without sacrificing valuable information. It is hoped that this will make interpretation easier.
• Sorting and Grouping
Graphs of similar objects or variables are created, based on measured characteristics. Alternatively, rules for classifying objects into well-defined groups may be required.
• Investigation of the dependence among variables
The nature of the relationships among variables is of interest. Are all the variables mutually independent or are one or more variables depend on the observation of the other variables?
• Prediction
Relationships between variables must be determined for predicting the values of one or more variables based on observation of the other variables.
• Hypothesis Construction and testing
Specific statistical hypotheses, formulated in terms of the parameter of the multivariate population, are tested. This may be done to validate assumptions or to reinforce prior convictions.

Multivariate analysis provides a comprehensive and robust way to analyze the data. It leads to better decision-making across various fields. Multivariate analysis is a vital tool for researchers and data scientists seeking to extract deeper insights from complex datasets.

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