Deck 18: Exploratory Factor Analysis
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Deck 18: Exploratory Factor Analysis
1
Which of the following represents a simple analogy for factor analysis?
A)Using all of the ingredients offered in a cooking experiment to produce the largest cake.
B)Whisking all of the eggs available to you together,regardless of the size or structure of the cake you are making.
C)Sieving the amount of flour given to you so that only a usable and manageable amount is used in the baking process.
D)All of the above.
A)Using all of the ingredients offered in a cooking experiment to produce the largest cake.
B)Whisking all of the eggs available to you together,regardless of the size or structure of the cake you are making.
C)Sieving the amount of flour given to you so that only a usable and manageable amount is used in the baking process.
D)All of the above.
C
2
Which adjustment method is used when factor scores can still correlate with each other?
A)Bartlett method
B)Anderson-Rubin method
C)Neither
D)Both
A)Bartlett method
B)Anderson-Rubin method
C)Neither
D)Both
A
3
An R-matrix could be used to assess a participant's response to a survey on personality and character.
True
4
Error is also known as?
A)Common variance
B)Unique variance
C)Random variance
D)None of the above
A)Common variance
B)Unique variance
C)Random variance
D)None of the above
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5
Exploratory factor analysis assumes what?
A)Everything
B)Nothing
C)That any measured variable may be associated with any factor
D)That every measured variable is only associated with one factor
A)Everything
B)Nothing
C)That any measured variable may be associated with any factor
D)That every measured variable is only associated with one factor
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6
Identification of error avoids what?
A)Unending calculations
B)Telling the researcher they've done something wrong
C)Unnecessary investigations of variance
D)Nothing,as error cannot be identified.
A)Unending calculations
B)Telling the researcher they've done something wrong
C)Unnecessary investigations of variance
D)Nothing,as error cannot be identified.
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7
In the study described in Q2,you ask questions based on themes of interest in PhD topic,sociability with other PhD students,ability to talk about PhD studies enthusiastically,ability to talk about other students' studies,interest in an academic career beyond studies,interest in other PhD students' academic careers.You find a negative correlation between scores on the R-matrix around ability to talk about PhD studies enthusiastically,interest in an academic career beyond studies and interest in PhD topic,and a positive correlation between sociability with other PhD students,ability to talk about other students' studies and interest in other PhD students' academic careers.These two correlations are called?
A)Links
B)Summaries
C)Factors
D)Matrices
A)Links
B)Summaries
C)Factors
D)Matrices
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8
Factors determined from correlation with other variables in the R-matrix are the same as the independent variables in factorial ANOVA.
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9
Based on your answer to Q4,why is this the case?
A)Because the diagonal elements in an R-matrix never correlate very well.
B)Because the diagonal elements in an R-matrix are randomly assigned.
C)Because the diagonal elements in an R-matrix are impossible to predict.
D)Because the diagonal elements in an R-matrix are the same,so will correlate perfectly.
A)Because the diagonal elements in an R-matrix never correlate very well.
B)Because the diagonal elements in an R-matrix are randomly assigned.
C)Because the diagonal elements in an R-matrix are impossible to predict.
D)Because the diagonal elements in an R-matrix are the same,so will correlate perfectly.
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10
The use of factor analysis in the social sciences is common because social science studies often research correlations with which type of variable?
A)Latent
B)Continuous
C)Binary
D)Ordered
A)Latent
B)Continuous
C)Binary
D)Ordered
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11
Why is there no intercept in the equation for describing factors?
A)Because,when plotted graphically,the lines intersect at zero,so the intercept is also zero.
B)Because there is no intercept,as each factor runs parallel to the other.
C)Because it is too difficult to work out.
D)Because the intercept serves no purpose in factor analysis.
A)Because,when plotted graphically,the lines intersect at zero,so the intercept is also zero.
B)Because there is no intercept,as each factor runs parallel to the other.
C)Because it is too difficult to work out.
D)Because the intercept serves no purpose in factor analysis.
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12
Squared multiple correlation (SMC)is used to estimate what?
A)Random variance between variables
B)Communality values for each variable
C)Common variance across all variables
D)Common variance in each independent variable
A)Random variance between variables
B)Communality values for each variable
C)Common variance across all variables
D)Common variance in each independent variable
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13
Within the common factor model,measured variables are expressed as what?
A)Totals of the unique variance scores
B)A function of common factors,unique factors,and errors of measurement
C)The square of the standard deviation of each variable
D)Quadratic equations
A)Totals of the unique variance scores
B)A function of common factors,unique factors,and errors of measurement
C)The square of the standard deviation of each variable
D)Quadratic equations
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14
Orthogonal rotation and oblique rotation are two types of what?
A)Factor rotation
B)Error rotation
C)Unique rotation
D)ANOVA rotation
A)Factor rotation
B)Error rotation
C)Unique rotation
D)ANOVA rotation
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15
Principal component analysis is concerned with establishing which linear components exist within data.
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16
Taking the scores from the R-matrix produced in Q8,and the two correlations found,what is the next stage in the analysis?
A)Add the scores together from the R-matrix for each correlation.
B)Represent the correlations graphically.
C)Square the cumulative scores in the ?R-matrix for each correlation.
D)Move on to the next study.
A)Add the scores together from the R-matrix for each correlation.
B)Represent the correlations graphically.
C)Square the cumulative scores in the ?R-matrix for each correlation.
D)Move on to the next study.
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17
When factor scores have a mean of 0 and a standard deviation of 1,which adjustment method has been used on factor scores?
A)Bartlett method
B)Anderson-Rubin method
C)Neither
D)Both
A)Bartlett method
B)Anderson-Rubin method
C)Neither
D)Both
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18
What is principal component analysis?
A)The process in which factor analysis is linked to ANOVA
B)The technique used to divide the factor scores by one another
C)A method used for calculating the square of the sum of the correlation variable scores
D)The procedure of converting possibly correlated variables into a set of linearly uncorrelated variables
A)The process in which factor analysis is linked to ANOVA
B)The technique used to divide the factor scores by one another
C)A method used for calculating the square of the sum of the correlation variable scores
D)The procedure of converting possibly correlated variables into a set of linearly uncorrelated variables
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19
In such a study,questions are grouped into themes of sociability,morals,comprehension and perception of themselves.When constructing an R-matrix,the diagonal line from top left to bottom right will show which figure?
A)0.001
B)0.010
C)0.100
D)1.000
A)0.001
B)0.010
C)0.100
D)1.000
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20
What does ML stand for?
A)Maximum liability
B)More or less
C)Minimum load
D)Maximum likelihood
A)Maximum liability
B)More or less
C)Minimum load
D)Maximum likelihood
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21
What is the different between these two types of rotation?
A)There are no differences,they are the same process used on different types of data set.
B)The factors are allowed to correlate in oblique rotation,but remain uncorrelated in orthogonal correlation.
C)The factors are allowed to correlate in orthogonal rotation,but remain uncorrelated in oblique rotation.
D)Orthogonal rotation is used on large data sets,whereas oblique rotation can only be used on small data sets (fewer than 25 participants).
A)There are no differences,they are the same process used on different types of data set.
B)The factors are allowed to correlate in oblique rotation,but remain uncorrelated in orthogonal correlation.
C)The factors are allowed to correlate in orthogonal rotation,but remain uncorrelated in oblique rotation.
D)Orthogonal rotation is used on large data sets,whereas oblique rotation can only be used on small data sets (fewer than 25 participants).
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