Exam 1

1. Metainformation

   Tag	Value
   file	Factor-analysis_uu-Exploratory-factor-analysis-800-en_uu-Exploratory-factor-analysis-800-en
   name	uu-Exploratory-factor-analysis-800-en
   section	Factor analysis/Exploratory factor analysis
   type	schoice
   solution	TRUE, FALSE, FALSE, FALSE
   Type	Conceptual
   Language	English
   Level	Statistical Literacy

   Question

   Exploratory factor analysis was conducted on ten items designed to assess interest in gossip and backbiting. The result of a principal component analysis with oblique (skewed) rotation is two statistically and substantively meaningful distinguishable factors, one for interest in gossip and one for interest in backbiting.

   Evaluate the following two statements.

   I. The maximum number of distinguishable factors is equal to 10. II. The Eigenvalues of the two factors are both greater than 1.

   
   
   1. TRUE: I is correct, II is correct
   2. FALSE: I is correct, II is not correct
   3. FALSE: I is not correct, II is correct
   4. FALSE: I is not right, II is not right
   
   

   Solution

   Thesis 1: The purpose of factor analysis is to reduce the number of dimensions. If 10 items are included in factor analysis, the maximum number of distinguishable factors is equal to that number. Thus, the statement is correct.

   Thesis 2: Since it is reported that two factors are statistically meaningful to distinguish, the Eigenvalues of both factors will be higher than 1.

   
   
   1. Both statements are indeed correct.
   2. Theorem I is indeed correct. Look again at Theorem II.
   3. Theorem II is indeed correct. Look again at Theorem I.
   4. Read the description again carefully. How many items are there? How many factors were found?