Question 1

The differences between the observed correlations (as given in the input correlation matrix)and the reproduced correlations (as estimated from the factor matrix)can be examined to determine model fit.

Accepted Answer

A) True 
 B)False

Question 2

Communality is ________.

Accepted Answer

A)  the amount of variance a variable shares with all the other variables being considered
B)  the percentage of the total variance attributed to each factor
C)  the proportion of variance explained by the common factors
D)  both A and C are correct

Question 3

List at least four of the procedures used for determining the number of factors.

Accepted Answer

∙ A Priori Determination
∙ Determination...

Question 4

Factors can be estimated so that their factor scores are not correlated and the first factor accounts for the highest variance in the data, the second factor the second highest and so on.

Accepted Answer

A) True 
 B)False

Question 5

The amount of variance a variable shares with all other variables included in the factor analysis is referred to as ________.

Accepted Answer

A)  communality
B)  total variance
C)  shared variance
D)  percentage of variance

Question 6

The various methods of factor analysis are differentiated by the approach used to derive the weights or factor score coefficients.

Accepted Answer

A) True 
 B)False

Question 7

________ is the last step in factor analysis.

Accepted Answer

A)  Interpret the factors
B)  Determine the model fit
C)  Rotate the factors
D)  Determine the number of factors

Question 8

When selecting variables to serve as surrogate variables, you should look for the variable with the highest loading on a factor.

Accepted Answer

A) True 
 B)False

Question 9

A principal components analysis was run and the following eigenvalue results were obtained: 2.731, 2.218, .442, .341, .183, and .085. How many factors would you retain using the eigenvalues to determine the number of factors?

Accepted Answer

A)  one
B)  two
C)  four
D)  six

Question 10

Selecting surrogate variables works well if one factor loading for a variable is clearly higher than all other factor loadings.

Accepted Answer

A) True 
 B)False

Question 11

It is possible to compute as many principal components as there are variables; in doing so, parsimony is gained.

Accepted Answer

A) True 
 B)False

Question 12

A ________ is a lower triangle matrix showing the simple correlations, r, between all possible pairs of variables included in the analysis.

Accepted Answer

A)  factor matrix
B)  classification matrix
C)  correlation matrix
D)  total correlation matrix

Question 13

Sometimes, because of prior knowledge, the researcher knows how many factors to expect and thus can specify the number of factors to be extracted beforehand. This is referred to as ________.

Accepted Answer

A)  a priori determination
B)  determination based on split-half reliability
C)  determination based on significance tests
D)  determination based on scree plot

Question 14

Describe principal components analysis and common factor analysis and the differences between the two methods of factor analysis.

Accepted Answer

In principal components analysis, the to...

Question 15

Which of the following statements is not true about factor rotation?

Accepted Answer

A)  Through rotation, the factor matrix is transformed into a simpler one that is easier to interpret.
B)  Rotation affects the communalities and the percentage of total variance explained.
C)  Preferably, each factor should have a nonzero, or significant, loadings or coefficients for only some of the variables.
D)  Different methods of rotation may result in the identification of different factors.

Question 16

Factor analysis can be used in which of the following circumstances?

Accepted Answer

A)  To identify underlying dimensions, or factors, that explain the correlations among a set of variables.
B)  To identify a new, smaller set of uncorrelated variables to replace the original set of correlated variables in subsequent multivariate analysis.
C)  To identify a smaller set of salient variables from a larger set for use in subsequent multivariate analysis.
D)  All are correct circumstances.

Question 17

The variables to be included in the factor analysis should be specified based on past research, theory, and the judgment of the researcher.

Accepted Answer

A) True 
 B)False

Question 18

A ________ is a plot of the original variables using the factor loadings as coordinates.

Accepted Answer

A)  scree plot
B)  territorial map
C)  factor loading plot
D)  scattergram

Question 19

________ is an approach to factor analysis that considers the total variance in the data.

Accepted Answer

A)  Principal components analysis
B)  Common factor analysis
C)  Omega method
D)  Unweighted least squares

Question 20

What are the steps involved in conducting factor analysis (Figure 19.3 in the text)?

Accepted Answer

The steps involved in conducting factor ...

Exam 19: Factor Analysis

A ________ is a plot of the original variables using the factor loadings as coordinates.

Correct AnswerverifiedShow Answer

The differences between the observed correlations (as given in the input correlation matrix)and the reproduced correlations (as estimated from the factor matrix)can be examined to determine model fit.

Correct AnswerverifiedShow Answer

What are the steps involved in conducting factor analysis (Figure 19.3 in the text)?

Correct AnswerverifiedThe steps involved in conducting factor ...View AnswerShow Answer

Factor analysis can be used in which of the following circumstances?

Correct AnswerverifiedShow Answer

________ is the last step in factor analysis.

Correct AnswerverifiedShow Answer

It is possible to compute as many principal components as there are variables; in doing so, parsimony is gained.

Correct AnswerverifiedShow Answer

________ is an approach to factor analysis that considers the total variance in the data.

Correct AnswerverifiedShow Answer

The amount of variance a variable shares with all other variables included in the factor analysis is referred to as ________.

Correct AnswerverifiedShow Answer

A ________ is a lower triangle matrix showing the simple correlations, r, between all possible pairs of variables included in the analysis.

Correct AnswerverifiedShow Answer

List at least four of the procedures used for determining the number of factors.

Correct Answerverified∙ A Priori Determination∙ Determination...View AnswerShow Answer

A principal components analysis was run and the following eigenvalue results were obtained: 2.731, 2.218, .442, .341, .183, and .085. How many factors would you retain using the eigenvalues to determine the number of factors?

Correct AnswerverifiedShow Answer

Communality is ________.

Correct AnswerverifiedShow Answer

When selecting variables to serve as surrogate variables, you should look for the variable with the highest loading on a factor.

Correct AnswerverifiedShow Answer

Which of the following statements is not true about factor rotation?

Correct AnswerverifiedShow Answer

Factors can be estimated so that their factor scores are not correlated and the first factor accounts for the highest variance in the data, the second factor the second highest and so on.

Correct AnswerverifiedShow Answer

Selecting surrogate variables works well if one factor loading for a variable is clearly higher than all other factor loadings.

Correct AnswerverifiedShow Answer

The various methods of factor analysis are differentiated by the approach used to derive the weights or factor score coefficients.

Correct AnswerverifiedShow Answer

Describe principal components analysis and common factor analysis and the differences between the two methods of factor analysis.

Correct AnswerverifiedIn principal components analysis, the to...View AnswerShow Answer

The variables to be included in the factor analysis should be specified based on past research, theory, and the judgment of the researcher.

Correct AnswerverifiedShow Answer

Sometimes, because of prior knowledge, the researcher knows how many factors to expect and thus can specify the number of factors to be extracted beforehand. This is referred to as ________.

Correct AnswerverifiedShow Answer

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The steps involved in conducting factor ...
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∙ A Priori Determination
∙ Determination...
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In principal components analysis, the to...
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