Test your knowledge.Receive immediate feedback.You find all answers in the book. Quiz | Factor Analysis /24 59 Quiz | Factor Analysis 1 / 24 What does the communality of a variable in factor analysis measure? The sum of the squared factor loadings for the variable The proportion of variance in the variable explained by the factors The eigenvalue of the variable The uniqueness of the variable 2 / 24 What is the H0 of the Bartlett test of sphericity? The variables in the population are uncorrelated. The variables in the sample are correlated. The variables in the population are correlated. The variables in the sample are uncorrelated. 3 / 24 How is the suitability of data for factor analysis typically evaluated? By conducting a regression analysis By assessing inter-item reliability By examining means and standard deviations By calculating the correlation matrix 4 / 24 What does CFA refer to when it mentions "reflective measurement models"? Models that reflect hypothetical constructs via measurement variables. Models that involve exploratory data analysis. Models that reflect the data structure without assumptions. Models that are highly complex and difficult to interpret. 5 / 24 In factor analysis, what does the procedure primarily analyze? The correlation matrix The mean of the data The covariance matrix The regression coefficients 6 / 24 What statement(s) related to the KMO and MSA criterion are correct? MSA assesses the suitability of a single variable. There is no difference between the two criteria. Both criteria measure the same. KMO assesses the suitability of the correlation matrix. 7 / 24 What is the first step in conducting a factor analysis? Interpreting the factors Determining the factor scores Extracting the factors Evaluating the suitability of the data 8 / 24 What is the primary assumption about highly correlated variables in factor analysis? They should be reduced to a single variable. They are the result of common causes (factors). They have no correlation. They are not suitable for analysis. 9 / 24 In the context of factor scores, what does a factor score of 0 signify? An object is rated above average on the factor. An object is rated below average on the factor. An object has the highest rating on the factor. An object has an average rating on the factor. 10 / 24 What does the fundamental theorem of factor analysis state? It explains how to standardize data. It calculates the variance of factors It defines the correlation matrix. It relates observed data to unobserved factors. 11 / 24 What is the difference between communality and eigenvalue? Check 12 / 24 What is the difference between orthogonal and oblique rotation methods? Orthogonal rotation methods assume uncorrelated factors, while oblique methods allow for correlation between factors. There is no difference. Oblique rotation methods assume uncorrelated factors, while orthogonal methods allow for correlation between factors. 13 / 24 When is a correlation matrix considered suitable for factor analysis according to the Bartlett test of sphericity? When the correlation matrix is not an identity matrix When the correlation matrix is equal to the inversed covariance matrix When the degrees of freedom are low When the variables in the sample are uncorrelated 14 / 24 In factor analysis, what do factor loadings (ajq) represent? The sum of the squared factor loadings The correlation between an observed variable and the extracted factor The number of observations (cases) The variance of the observed variables 15 / 24 What does a negative factor score represent in factor analysis? An object is rated above average on the factor. An object has the highest rating on the factor. An object has an average rating on the factor. An object is rated below average on the factor. 16 / 24 Explain why the variable "I have difficulty in imagining Calvé in my mind” has a negative factor loading for factor 1. The item is a reverse coded item, and has, thus, a negative factor loading. This must be a mistake. Factor loadings need to be positive. 17 / 24 How are summated scales calculated for factor scores in factor analysis? By taking the sum of the highest factor loadings for each factor By using regression analysis on factor loadings By calculating the mean of the high-loading variables for each factor By multiplying factor loadings by the number of variables 18 / 24 In a factor analysis, what do the factor scores represent? Original variables Values per person on the latent factors Strength of correlations Number of factors extracted 19 / 24 What is the primary purpose of determining factor scores in factor analysis? To calculate the eigenvalues of factors To reduce the number of factors To understand how objects score on the factors To determine the factor loadings 20 / 24 In what step of factor analysis is the user required to decide how many factors are to be extracted? Step 1: Checking data suitability Step 3: Interpreting the factors Step 2: Extracting the factors Step 4: Assessing factor scores 21 / 24 What does a high correlation between two variables indicate in factor analysis? They are unsuitable for factor analysis. They can be combined into a common factor. They should be eliminated from the analysis. They are weakly correlated with other variables. 22 / 24 What is one of the main objectives of factor analysis? To increase the number of correlating variables To reduce a large number of correlating variables to a fewer number of factors To decrease the number of factors To increase the variance-covariance matrix 23 / 24 What are factor loadings in factor analysis? Assessment values per person The number of factors extracted The strength of the correlations between original variables and the factors The factors themselves 24 / 24 What is the primary objective of factor analysis compared to principal component analysis (PCA)? To reduce the dimensionality of data To eliminate unique variance in observed variables To maximize the explained variance by the extracted factors To uncover the common causes (factors) of observed variables and their correlations Your score is 0% Restart quiz Learn more…MethodsServiceAbout us ContactFeedbackOrder data etc. GeneralImprintPrivacy notice
