Exam 18: Exploratory Factor Analysis

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What is the purpose of measuring a questionnaire's reliability?

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A

To proceed with the factor analysis, what is the minimum value required for the KMO statistic?

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C

Rotation is used to discriminate between factors. Which of the following are methods of rotation? (You may select more than one option.)

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A,B

Based on the earlier example of physical health, what is the minimum number of participants that should be recruited for this study when there are six variables?

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Assume the six variables tended to cluster into two dimensions (i.e. two factors). The first dimension (aerobic) involved aerobic capacity, peak expiratory flow and haematocrit, whilst the second dimension (strength) involved static muscular strength, muscular endurance and isoinertial muscular strength. Ideally, how would we expect to see the relationships between the variables and the factors (coordinates) presented graphically on x- and y-axes?

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Calculate the factor scores for aerobic (factor 1) and strength (factor 2) when using the following equation Aerobic = .78AeroCap + .88PEF + .81Hae + .01DynS - .12Endur + .09IsoS Strength = .02AeroCap + .11PEF + .009Hae + .72DynoS + .79Endur + .88IsoS Aerobic = 61; PEF = 480; Hae = 45; DynS = 150; Endur = 60; IsoS = 200

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Which of the following adjustments are required when the regression technique is used to determine factor scores? (You may select more than one option.)

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Which academic discipline within sports science tends to use methods of dimension reduction the most to measure intangible phenomena?

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How would you differentiate between principal component analysis (PCA) and factor analysis (FA)?

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The fundamental aim of principal component analysis and factor analysis is to reduce the factors so that the model is simplified, but what is the process called?

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What is meant by the term 'latent variable'?

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The fundamental calculations that underpin principal component analysis (correlation matrices) are similar to which other statistical functions?

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Suppose you wished to determine physical health and you measure the following variables - isoinertial muscular strength, aerobic capacity, peak expiratory flow, static muscular strength, muscular endurance and haematocrit. Before conducting a principal component analysis or a factor analysis, what would you look to do first?

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What are the purposes of using dimension reduction methods? (You may select more than one option.)

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Likert scales are commonly used by psychologists to measure specific phenomena, but how would you classify this data scale? (You may select more than one option.)

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What is the most common measure of scale reliability?

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Factors are retained in the model based on the size of which value?

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What is generally regarded as an acceptable score for reliability?

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Based on your answer to Q14, which factors will be retained?

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In principal component analysis and factor analysis, how do the equations used to calculate factors differ from a conventional linear model (i.e. Y = b0 + bx + E)? (You may select more than one option.)

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