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