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