Factor Analysis — FA • qacDR

FA performs common factor analysis

FA(data, nfactors = NULL, rotate = "none", fm = "pa", digits = 2, ...)

Arguments

data: a data frame or correlation matrix.
nfactors: nuber of factors to extract.
rotate: factor rotation to perform.
fm: type of factor extraction.
digits: number of digits to retain.
...: parameters passed to the psych::fa function.

Value

returns a list with 5 components:

call: the call
loadings: factor pattern
variance: variance accounted for
Structure: structure matrix
phi: factor intercorrelations for oblique rotations
scores: factor scores if factors are extracted from a data frame

Details

The FA function is a wrapper for the psych:fa function. Factor extractions include principal axis (pa) and maximum likelihood (ml), among others. Factor rotations include none, varimax, and promax.

Examples

fit.fa <- FA(Harman74.cor$cov, nfactors=4, rotate="varimax")
#> 
#> Principal Axis Factor Analysis
#> Number of Factors: 4 / Rotation: varimax 
#> 
#> Factor Pattern
#>                          F1    F2    F3   F4   h2
#> VisualPerception       0.15  0.68  0.20 0.15 0.55
#> Cubes                  0.11  0.45  0.08 0.08 0.23
#> PaperFormBoard         0.15  0.55 -0.01 0.11 0.34
#> Flags                  0.23  0.53  0.09 0.07 0.35
#> GeneralInformation     0.73  0.19  0.22 0.14 0.64
#> PargraphComprehension  0.76  0.21  0.07 0.23 0.68
#> SentenceCompletion     0.81  0.19  0.15 0.07 0.73
#> WordClassification     0.57  0.34  0.23 0.14 0.51
#> WordMeaning            0.81  0.20  0.05 0.22 0.74
#> Addition               0.17 -0.10  0.82 0.16 0.74
#> Code                   0.18  0.10  0.54 0.37 0.47
#> CountingDots           0.02  0.20  0.71 0.09 0.55
#> StraightCurvedCapitals 0.18  0.42  0.54 0.08 0.51
#> WordRecognition        0.21  0.05  0.08 0.56 0.36
#> NumberRecognition      0.12  0.12  0.08 0.52 0.31
#> FigureRecognition      0.07  0.42  0.06 0.52 0.45
#> ObjectNumber           0.14  0.06  0.22 0.58 0.41
#> NumberFigure           0.02  0.31  0.34 0.45 0.41
#> FigureWord             0.15  0.25  0.18 0.35 0.23
#> Deduction              0.38  0.42  0.10 0.29 0.42
#> NumericalPuzzles       0.18  0.40  0.43 0.21 0.42
#> ProblemReasoning       0.37  0.41  0.13 0.29 0.40
#> SeriesCompletion       0.37  0.52  0.23 0.22 0.51
#> ArithmeticProblems     0.36  0.19  0.49 0.29 0.49
#> 
#>                         F1   F2   F3   F4
#> SS loadings           3.64 2.93 2.67 2.23
#> Proportion Var        0.15 0.12 0.11 0.09
#> Cumulative Var        0.15 0.27 0.38 0.48
#> Proportion Explained  0.32 0.26 0.23 0.19
#> Cumulative Proportion 0.32 0.57 0.81 1.00