Exam 19: Factor Analysis

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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.

(True/False)
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If the variables are standardized,the factor model may be presented as ________.

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

(True/False)
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A factor model that provides a good fit to the data has many large residuals.

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

(Multiple Choice)
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Rotation does not affect the communalities and the percentage of total variance explained.

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

(Multiple Choice)
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Which of the following applications is appropriate for using factor analysis?

(Multiple Choice)
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A ________ is a plot of the original variables using the factor loadings as coordinates.

(Multiple Choice)
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Communality is ________.

(Multiple Choice)
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The factors identified in factor analysis are overtly observed in the population.

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

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

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

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Which of the following is a way to interpret factors?

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

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

(True/False)
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It is recommended that the factors extracted should account for at least ________ of the variance.

(Multiple Choice)
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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 ________.

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

(Multiple Choice)
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