Multivariate Statistics

Multivariate statistics includes topics of Multivariate variables, multivariate normal distribution, canonical correlation, PCA, FA, CFA, etc.

MCQs Cluster Analysis Quiz 6

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The post is about MCQs cluster Analysis. There are 20 multiple-choice questions from clustering, covering topics such as k-means, k-median, k-means++, cosine similarity, k-medoid, Manhattan Distance, etc. Let us start with the MCQs Cluster Analysis Quiz.

Online Multiple-Choice Questions about Cluster Analysis

1. What are some common considerations and requirements for cluster analysis?

 
 
 
 

2. In the figure below, Map the figure to the type of link it illustrates.

MCQs Cluster Analysis Quiz 6

 
 
 

3. Which of the following statements is true?

 
 
 
 

4. In the k-medoids algorithm, after computing the new center for each cluster, is the center always guaranteed to be one of the data points in that cluster?

 
 

5. The k-means++ algorithm is designed to better initialize K-means, which will take the farthest point from the currently selected centroids. Suppose $k = 2$ and we have chosen the first centroid as $(0, 0)$. Among the following points (these are all the remaining points), which one should we take for the second centroid?

 
 
 
 

6. Suppose $X$ is a random variable with $P(X = -1) = 0.5$ and $P(X = 1) = 0.5$. In addition, we have another random variable $Y=X * X$. What is the covariance between $X$ and $Y$?

 
 
 
 

7. Which of the following statements is true?

 
 

8. Which of the following statements is true?

 
 
 
 

9. Is K-means guaranteed to find K clusters that lead to the global minimum of the SSE?

 
 

10. In the figure below, Map the figure to the type of link it illustrates.

MCQs Cluster Analysis Quiz 6

 
 
 

11. For k-means, will different initializations always lead to different clustering results?

 
 

12. In the k-median algorithm, after computing the new center for each cluster, is the center always guaranteed to be one of the data points in that cluster?

 
 

13. Considering the k-median algorithm, if points $(-1, 3), (-3, 1),$ and $(-2, -1)$ are the only points that are assigned to the first cluster now, what is the new centroid for this cluster?

 
 
 
 

14. Given three vectors $A, B$, and $C$, suppose the cosine similarity between $A$ and $B$ is $cos(A, B) = 1.0$, and the similarity between $A$ and $C$ is $cos(A, C) = -1.0$. Can we determine the cosine similarity between $B$ and $C$?

 
 

15. Given the two-dimensional points (0, 3) and (4, 0), what is the Manhattan distance between those two points?

 
 
 
 

16. Which of the following statements, if any, is FALSE?

 
 
 
 

17. In the figure below, Map the figure to the type of link it illustrates.

MCQs Cluster Analysis Quiz 6

 
 
 

18. Which of the following statements is true?

 
 
 
 

19. Which of the following statements about the K-means algorithm are correct?

 
 
 
 

20. Which of the following statements about the K-means algorithm are correct?

 
 
 
 

Online MCQs Cluster Analysis

  • Which of the following statements is true?
  • What are some common considerations and requirements for cluster analysis?
  • Which of the following statements is true?
  • Which of the following statements is true?
  • Which of the following statements about the K-means algorithm are correct?
  • Which of the following statements, if any, is FALSE?
  • In the figure below, Map the figure to the type of link it illustrates.
  • In the figure below, Map the figure to the type of link it illustrates.
  • In the figure below, Map the figure to the type of link it illustrates.
  • Considering the k-median algorithm, if points $(-1, 3), (-3, 1),$ and $(-2, -1)$ are the only points that are assigned to the first cluster now, what is the new centroid for this cluster?
  • Which of the following statements about the K-means algorithm are correct?
  • Given the two-dimensional points (0, 3) and (4, 0), what is the Manhattan distance between those two points?
  • Given three vectors $A, B$, and $C$, suppose the cosine similarity between $A$ and $B$ is $cos(A, B) = 1.0$, and the similarity between $A$ and $C$ is $cos(A, C) = -1.0$. Can we determine the cosine similarity between $B$ and $C$?
  • Is K-means guaranteed to find K clusters that lead to the global minimum of the SSE?
  • The k-means++ algorithm is designed to better initialize K-means, which will take the farthest point from the currently selected centroids. Suppose $k = 2$ and we have chosen the first centroid as $(0, 0)$. Among the following points (these are all the remaining points), which one should we take for the second centroid?
  • Which of the following statements is true?
  • Suppose $X$ is a random variable with $P(X = -1) = 0.5$ and $P(X = 1) = 0.5$. In addition, we have another random variable $Y=X * X$. What is the covariance between $X$ and $Y$?
  • For k-means, will different initializations always lead to different clustering results?
  • In the k-medoids algorithm, after computing the new center for each cluster, is the center always guaranteed to be one of the data points in that cluster?
  • In the k-median algorithm, after computing the new center for each cluster, is the center always guaranteed to be one of the data points in that cluster?
MCQs Cluster Analysis Quiz with Answers

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Important MCQs Multivariate Quiz 5

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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.

Please go to Important MCQs Multivariate Quiz 5 to view the test

Online MCQs Multivariate Quiz with Answers

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?
Statistics Help

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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.

Please go to Important MCQs Multivariate Statistics 4 to view the test

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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