Question 1

The factors identified in factor analysis are overtly observed in the population.

Accepted Answer

A) True 
 B)False

Question 2

It is recommended that the factors extracted should account for at least ________ of the variance.

Accepted Answer

A)   50 %
B)   60%
C)   65%
D)   70%

Question 3

Which of the following applications is appropriate for using factor analysis?

Accepted Answer

A)   to understand the media consumption habits of the target market
B)   to determine if variation in market share can be accounted for by the size of the sales force and advertising expenditures
C)   to identify the characteristics of price-sensitive consumers
D)   Both A and C are correct.

Question 4

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

Accepted Answer

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

Question 5

Rotation does not affect the communalities and the percentage of total variance explained.

Accepted Answer

A) True 
 B)False

Question 6

In order to use factor analysis,it is important that the variables be appropriately measured on an ordinal or nominal scale.

Accepted Answer

A) True 
 B)False

Question 7

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

Accepted Answer

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

Question 8

Factor scores should be computed if the goal of factor analysis is to use the results in subsequent multivariate analysis.

Accepted Answer

A) True 
 B)False

Question 9

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 10

m represents ________ in the factor model,Xi = Ai1 F1 + Ai2 F2 + Ai3 F3 + ...+ Aim Fm + ViUi,.

Accepted Answer

A)   the mth standardized variable
B)   the common factors
C)   the number of common factors
D)   the number of variables

Question 11

The unrotated factor matrix seldom results in factors that can be interpreted because the factors are correlated with many variables.

Accepted Answer

A) True 
 B)False

Question 12

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

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

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

Question 15

Generally,the number of factors determined by a scree plot will be one or a few less than that determined by the eigenvalue criterion.

Accepted Answer

A) True 
 B)False

Question 16

If the variables are standardized,the factor model may be presented as ________.

Accepted Answer

A)   Fi = Wi1 X1 + Wi2 X2 + Wi3 X3 + ...+ Wim Xm + ViUi
B)   Xi = Ai1 F1 + Ai2 F2 + Ai3 F3 + ...+ Aim Fm
C)   Xi = Wi1 F1 + Wi2 F2 + Wi3 F3 + ...+ Wim Fm + ViUi
D)   Xi = Ai1 F1 + Ai2 F2 + Ai3 F3 + ...+ Aim Fm + ViUi

Question 17

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 18

The test statistic for sphericity is based on a chi-square transformation of the determinant of the correlation matrix.A large value of the test statistic will favor the acceptance of the null hypothesis.

Accepted Answer

A) True 
 B)False

Question 19

Which of the following is a way to interpret factors?

Accepted Answer

A)   based on the variables that load high on a factor
B)   by plotting the variables using the factor loadings as coordinates
C)   both A and B
D)   none of the above

Question 20

A factor model that provides a good fit to the data has many large residuals.

Accepted Answer

A) True 
 B)False

Exam 19: Factor Analysis

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

Correct AnswerverifiedShow Answer

m represents ________ in the factor model,Xi = Ai1 F1 + Ai2 F2 + Ai3 F3 + ...+ Aim Fm + ViUi,.

Correct AnswerverifiedShow Answer

It is recommended that the factors extracted should account for at least ________ of the variance.

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

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

Correct AnswerverifiedShow Answer

Factor scores should be computed if the goal of factor analysis is to use the results in subsequent multivariate analysis.

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

Communality is ________.

Correct AnswerverifiedShow Answer

Generally,the number of factors determined by a scree plot will be one or a few less than that determined by the eigenvalue criterion.

Correct AnswerverifiedShow Answer

The test statistic for sphericity is based on a chi-square transformation of the determinant of the correlation matrix.A large value of the test statistic will favor the acceptance of the null hypothesis.

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

If the variables are standardized,the factor model may be presented as ________.

Correct AnswerverifiedShow Answer

Which of the following applications is appropriate for using factor analysis?

Correct AnswerverifiedShow Answer

Which of the following is a way to interpret factors?

Correct AnswerverifiedShow Answer

The unrotated factor matrix seldom results in factors that can be interpreted because the factors are correlated with many variables.

Correct AnswerverifiedShow Answer

In order to use factor analysis,it is important that the variables be appropriately measured on an ordinal or nominal scale.

Correct AnswerverifiedShow Answer

A factor model that provides a good fit to the data has many large residuals.

Correct AnswerverifiedShow Answer

Rotation does not affect the communalities and the percentage of total variance explained.

Correct AnswerverifiedShow Answer

The factors identified in factor analysis are overtly observed in the population.

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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m represents ________ in the factor model,Xi = Ai₁F₁ + Ai₂ F₂ + Ai₃ F₃ + ...+ Aim Fm + ViUi,.

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