Important MCQs Multivariate Statistics 4

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

 
 
 
 

2. Eigenvectors are by definition – – – – – – – – -.

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

10. Singular Matrices have Eigenvalues

 
 
 
 

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

 
 
 
 

12. 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 – – – – – – – -.

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

20. 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?

 
 
 
 

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?
MCQs Multivariate Statistics

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Important Multivariate Quiz 3

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Multivariate Analysis term includes all statistics for more than two variables analyzed simultaneously. The post is about Multivariate Quiz. Let us start with the Online Multivariate Quiz with Answers.

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An application of different statistical methods applied to the economic data used to find empirical relationships between economic data is called Econometrics. In other words, Econometrics is “the quantitative analysis of actual economic phenomena based on the concurrent development of theory and observation, related by appropriate methods of inference”.

Multivariate Quiz Questions

  • An empirically based hypothetical variable consisting of items that are strongly associated with each other and upon which individuals differ is known as what?
  • Identify the correct statement from the following
  • Look at the steps below. Is there anything else a researcher could do? The correlation matrix is produced → factors are then retained based on eigenvalues over 1 and theoretical considerations → then the rotated factor loadings (whatever their loading) are used to name factors.
  • Rotation usually involves __________ high correlations and _________ low ones.
  • The most common method of rotation is called
  • Variables are not always measured in the same units so using the correlation matrix in factor analysis is equivalent to standardizing the data so that they are comparable.
  • You cannot retain factors that have an eigenvalue value of less than 1 as only factors with an eigenvalue over 1 should be kept.
  • ——— was known for his seminal work on testing and measuring “Human Intelligence” by using “Factor Analysis” during World War I.
  • Factor analysis is a:
  • Assumptions to be fulfilled for running factor analysis:
  • Principle component analysis is one of the methods of:
  • Determination of a number of factors:
  • In factor analysis ———— is the amount of variance explained by a factor.
  • In factor analysis, there are two common rotation techniques:
  • It can be defined as the correlation coefficient between the variable and the factor.
  • Some steps for Conducting factor analysis are:
  • A technique for the study of interrelationships among variables, usually for data reduction and the discovery of underlying constructors or latent dimensions is known as:
  • To determine which variables relate to which factors, a researcher would use:
  • If a researcher wanted to determine which variables were associated with which factors they would look at:
  • If a researcher uses factor rotation in a factor analysis, what will be the likely outcome:
MCQs Multivariate Quiz itfeature.com
  • Partial Least Squares (PLS) Regression is an example of multivariate analysis (MVA).
  • Multivariate Multiple Regression is a method of modeling multiple dependent variables, with a single set of predictor variables.
  • Testing text and visual elements on a webpage together.
  • An example of multivariate data is Vital signs recorded for a newborn baby: This includes multiple variables such as heart rate, respiratory rate, blood pressure, and temperature.

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Design of Experiments Objective Questions 3

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MCQs about the Design of Experiments Objective Questions for the preparation of PPSC, FPSC Lecturer Statistics job, and BS, M.Phil, Ph.D. Statistics Degree Programs. Let us start with the Design of Experiments Objective Questions quiz.

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Planning an experiment to obtain appropriate data and drawing inferences from the data concerning any problem under investigation is known as the design and analysis of the experiments.

Design of Experiments Objective Questions

An experiment deliberately imposes a treatment on a group of objects or subjects to observe the response. The experimental unit is the basic entity or unit on which the experiment is performed. It is an object to which the treatment is applied and the variable under investigation is measured and analyzed.

Single-Factor Design: In a single-factor experiment only a single factor varies while all others are constant. The CRD, RCBD, and LSD are examples of single-factor designs.

Multi-Factor Design: Multi-factor designs are also known as factorial experiments. When several factors are investigated simultaneously in a single experiment, such experiments are known as factorial experiments.

Systematic Designs: In systematic designs treatments are applied to the experimental units by some systematic pattern, i.e., by the choice of the experimenter. For example, the experimenter wishes to test three treatments and he decides to have four repetitions of each treatment.

Randomized Designs: In randomized designs, as the treatments are applied randomly, therefore the conclusions drawn are supported by statistical tests. In this way, inferences are applicable in a wider range and the random process minimizes the systematic error. The analysis of variance techniques is also suitable for randomized designs only.

The purpose of the Design of Experiments is:

  • Get maximum information for minimum expenditure in the minimum possible time.
  • Helps to reduce the experimental error.
  • To ignore spurious effects, if any.
  • To evaluate and examine the outcomes critically and logically.

Design of Experiments Objective Questions

  • Which one provides the estimate of experimental error in the design of the experiment
  • There are – – – – – – – – basic principles of sound statistical design.
  • If the experimental material is not homogenous and there is one source of variation in the experiment then we use
  • An experiment is performed in CRD with 3 replications to compare four treatments. Then, the total experimental units will be
  • An experiment is performed in CRD with 3 replications to compare four treatments, then what will be the degrees of freedom for error?
  • An experiment is performed in CRE with 3 replications to compare four treatments. The treatment sum of squares = 8. If the error sum of square = 12 then what will be the total sum of square?
  • An experiment is performed in CRD with 3 replications to compare four treatments. The treatment sum of squares = 9. If the error sum of squares = 12 then what will be the mean sum of squares for treatment?
  • What will be the F ratio if an experiment is performed in CRD with 3 replications to compare four treatments? The treatment mean sum of squares = 96, error mean sum of squares = 12.
  • Analysis of variance is a statistical method of comparing the – – – – – – – – of several populations.
  • To test the hypothesis about one population variance, the test statistic will be – – – – – – -.
  • Under one-way variability in environmental conditions, the appropriate design for experimenting will be – – – – – – – -.
  • The scientific method for the construction of a statistical layout plan for an experiment is – – – – – -?
  • Manova stands for
  • For a $7 \times 7$ Latin Square Design, there will be ___________ observations.
  • The experiment is performed on
  • The random process of assigning treatments to the experimental units can be done by
  • In systematic designs, the treatments are applied to the experimental units by some
  • Planning an experiment to obtain appropriate data and drawing inferences out of the data for any problem under investigation is known as ___________
  • One of the purposes of experimental design is to
  • What will be a degree of freedom (df) for column-wise blocking in $5 \times 5$ Latin Square Design?
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