Multivariate Statistics

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 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?

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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

• 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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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.

Please go to Important Multivariate Quiz 3 to view the test

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:

• 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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