DataPDF Available
Supplemental Materials
Hierarchical Exploratory Factor Analyses of the Woodcock-Johnson IV Full Test Battery: Implications for CHC Application in School
Psychology
by S. C. Dombrowski et al., 2017, School Psychology Quarterly
http://dx.doi.org/10.1037/spq0000221
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Table A1
Age 9- to 13- WJ-IV Principal Axis Factor with Promax Rotation (Seven Factors)
Pattern (Structure Coefficients)
I
II
III
IV
V
VI
VII
h²
u²
.79
(.88)
.17
(.61)
.04
(.55)
-.12
(.31)
-.01
(.43)
.05
(.44)
.02
(-.04)
.80
.20
.77
(.76)
-.06
(.45)
-.16
(.36)
.03
(.39)
.26
(.52)
-.03
(.35)
.07
(.00)
.63
.37
.75
(.66)
-.17
(.32)
-.04
(.40)
-.06
(.21)
-.06
(.31)
.27
(.49)
.25
(.22)
.58
.42
.72
(.80)
.19
(.60)
-.05
(.48)
.05
(.38)
-.08
(.42)
.07
(.46)
.18
(.11)
.70
.30
.63
(.64)
-.11
(.35)
.02
(.43)
-.05
(.24)
-.04
(.32)
.26
(.48)
.12
(.11)
.48
.52
.59
(.78)
.26
(.57)
.15
(.53)
.17
(.48)
-.11
(.33)
-.21
(.19)
-.14
(-.27)
.72
.28
.58
(.82)
.15
(.61)
.21
(.64)
-.06
(.39)
.12
(.50)
.02
(.43)
-.09
(-.12)
.74
.26
.52
(.68)
-.19
(.36)
-.05
(.40)
.30
(.60)
.22
(.50)
.10
(.36)
-.20
(-.25)
.64
.36
.47
(.77)
.24
(.65)
.13
(.58)
-.12
(.36)
.15
(.53)
.12
(.47)
-.19
(-.16)
.72
.28
.46
(.63)
-.09
(.41)
-.02
(.40)
.28
(.55)
.26
(.55)
-.01
(.36)
.04
(-.02)
.53
.47
-.03
(.43)
.90
(.80)
.05
(.37)
.20
(.40)
-.19
(.33)
-.16
(.24)
.04
(.01)
.69
.31
.00
(.44)
.89
(.85)
-.07
(.33)
-.05
(.27)
.05
(.48)
-.03
(.37)
.08
(.14)
.74
.26
-.01
(.46)
.74
(.80)
-.05
(.38)
-.13
(.24)
.02
(.48)
.29
(.56)
-.05
(.09)
.70
.30
.12
(.56)
.71
(.83)
-.02
(.43)
.08
(.41)
.02
(.52)
.05
(.46)
.04
(.08)
.71
.29
-.12
(.41)
.71
(.77)
-.04
(.35)
.08
(.40)
.11
(.52)
.13
(.44)
-.12
(-.02)
.62
.38
.23
(.49)
.60
(.74)
-.16
(.30)
-.02
(.28)
.14
(.54)
-.03
(.42)
.31
(.34)
.67
.33
.42
(.74)
.52
(.78)
.00
(.50)
.03
(.42)
-.03
(.49)
.05
(.45)
-.03
(-.04)
.74
.26
.07
(.43)
.50
(.69)
-.22
(.28)
-.16
(.23)
.20
(.56)
.45
(.64)
-.04
(.14)
.66
.34
-.04
(.39)
-.11
(.28)
.81
(.77)
.09
(.31)
-.01
(.29)
.00
(.36)
.09
(.09)
.61
.39
.13
(.56)
.07
(.45)
.80
(.84)
-.12
(.24)
.03
(.34)
-.07
(.35)
-.03
(-.03)
.72
.28
.19
(.47)
-.25
(.24)
.72
(.75)
-.04
(.22)
.00
(.29)
.12
(.44)
.17
(.18)
.64
.36
-.25
(.24)
-.01
(.29)
.72
(.65)
-.05
(.20)
.14
(.33)
.09
(.38)
.01
(.10)
.47
.53
.39
(.71)
.08
(.51)
.65
(.82)
-.02
(.34)
-.04
(.37)
-.13
(.36)
.09
(.02)
.78
.22
.21
(.60)
.04
(.45)
.63
(.78)
-.05
(.29)
-.07
(.33)
.11
(.45)
-.03
(-.02)
.65
.35
.45
(.69)
-.16
(.37)
.56
(.76)
-.04
(.32)
.04
(.37)
.04
(.42)
.02
(-.01)
.68
.32
-.01
(.39)
.05
(.39)
.23
(.46)
.19
(.43)
.19
(.46)
.14
(.41)
-.07
(-.02)
.35
.65
-.01
(.26)
.12
(.31)
-.14
(.14)
.66
(.66)
.09
(.37)
-.10
(.15)
.01
(-.07)
.47
.53
-.01
(.24)
.00
(.25)
.01
(.24)
.63
(.59)
-.05
(.31)
.05
(.29)
.23
(.16)
.40
.60
.04
(.31)
.04
(.34)
.04
(.32)
.56
(.58)
-.05
(.37)
.09
(.38)
.29
(.24)
.45
.55
.21
(.37)
-.18
(.24)
-.21
(.17)
.48
(.59)
.27
(.49)
.14
(.35)
.06
(.03)
.46
.54
-.06
(.32)
.09
(.40)
.06
(.37)
.41
(.54)
.03
(.44)
.31
(.53)
.12
(.17)
.45
.55
-.09
(.28)
-.03
(.36)
.00
(.26)
.23
(.49)
.64
(.69)
-.02
(.32)
-.01
(.05)
.51
.49
.15
(.45)
-.04
(.43)
.05
(.38)
-.08
(.34)
.63
(.70)
.09
(.43)
-.07
(.03)
.52
.48
.21
(.45)
.16
(.50)
-.02
(.31)
-.14
(.26)
.63
(.67)
-.14
(.29)
.03
(.09)
.51
.49
.23
(.40)
-.04
(.35)
-.04
(.25)
.13
(.39)
.57
(.62)
-.21
(.21)
.14
(.12)
.44
.56
-.30
(.23)
.04
(.41)
.34
(.48)
.17
(.44)
.52
(.66)
.05
(.44)
.10
(.20)
.56
.44
.13
(.51)
.03
(.48)
.02
(.41)
.23
(.57)
.44
(.66)
.10
(.42)
-.16
(-.12)
.56
.44
-.12
(.22)
.17
(.40)
.37
(.43)
-.13
(.13)
.38
(.48)
-.13
(.29)
.27
(.34)
.42
.58
.14
(.40)
.08
(.45)
.02
(.35)
.09
(.36)
.33
(.57)
.10
(.46)
.23
(.28)
.42
.58
-.15
(.27)
.24
(.47)
.28
(.44)
-.09
(.20)
.28
(.48)
.12
(.43)
.09
(.21)
.37
.63
.46
(.67)
-.13
(.42)
.02
(.52)
-.02
(.35)
-.08
(.40)
.72
(.79)
-.12
(.00)
.79
.21
.29
(.63)
.02
(.48)
.26
(.64)
.05
(.38)
-.19
(.35)
.58
(.72)
-.10
(-.01)
.72
.28
.00
(.45)
.10
(.47)
.12
(.47)
.08
(.41)
.12
(.48)
.50
(.63)
-.26
(-.11)
.53
.47
.13
(.57)
.31
(.62)
.13
(.56)
.21
(.48)
-.23
(.40)
.50
(.71)
.00
(.08)
.69
.31
-.20
(.24)
.11
(.39)
.10
(.37)
.44
(.52)
-.07
(.39)
.46
(.61)
.13
(.22)
.53
.47
.09
(.19)
.02
(.25)
.15
(.27)
.32
(.30)
.04
(.31)
-.17
(.24)
.69
(.61)
.54
.46
.07
(.30)
.16
(.41)
-.07
(.26)
.12
(.29)
.08
(.42)
.29
(.52)
.31
(.38)
.40
.60
18.30
3.18
2.51
2.17
1.65
1.41
1.36
38.94
6.78
5.35
4.62
3.52
3.00
2.89
1.0
.57
1.0
.58
.46
1.0
.43
.39
.36
1.0
.45
.56
.39
.49
1.0
.41
.46
.46
.33
.50
1.0
-.12
.07
.02
-.12
.14
.26
1.0
Note. h² = Communality coefficient. u² = Uniqueness. Pattern coefficients >.30 are bolded (Carroll, 1993, p. 108; Child, 2006). Note that alignment of subtests with respective
CHC stratum I or II factors posited in the WJ-IV Technical Manual is indicted following each subtest name.
Table A2
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Age 14- to 19- WJ-IV Principal Axis Factor with Promax Rotation (Seven Factors)
Pattern (Structure Coefficients)
I
II
III
IV
V
VI
VII
h²
u²
.93
(.86)
.07
(.51)
-.03
(.42)
-.03
(.53)
.01
(.43)
-.13
(.45)
.12
(.11)
.76
.24
.90
(.80)
-.03
(.46)
.05
(.42)
-.20
(.42)
.12
(.44)
-.07
(.43)
.01
(.01)
.67
.33
.77
(.83)
-.07
(.49)
-.03
(.46)
.02
(.56)
-.08
(.42)
.26
(.63)
-.03
(.03)
.73
.27
.74
(.81)
-.13
(.45)
-.05
(.41)
.11
(.59)
.07
(.49)
.10
(.54)
-.07
(.00)
.67
.33
.72
(.85)
.09
(.60)
.00
(.50)
.00
(.59)
.08
(.53)
.06
(.58)
.00
(.03)
.74
.26
.70
(.78)
.16
(.52)
-.14
(.36)
.19
(.60)
-.07
(.42)
-.05
(.48)
.19
(.18)
.67
.33
.63
(.84)
.39
(.75)
.00
(.52)
-.08
(.55)
.03
(.48)
.02
(.56)
-.02
(-.07)
.79
.21
.56
(.76)
.05
(.52)
-.19
(.38)
.18
(.61)
-.09
(.43)
.35
(.65)
.01
(.07)
.67
.33
.22
(.67)
.74
(.88)
.05
(.55)
.04
(.54)
-.04
(.41)
-.05
(.50)
-.02
(-.12)
.81
.19
-.14
(.34)
.71
(.64)
.02
(.39)
-.11
(.30)
-.06
(.28)
.22
(.48)
.26
(.18)
.51
.49
-.10
(.43)
.68
(.69)
-.03
(.42)
-.01
(.43)
.03
(.40)
.22
(.54)
.22
(.17)
.56
.44
-.02
(.53)
.66
(.74)
-.15
(.37)
.30
(.60)
.14
(.51)
-.06
(.45)
.04
(-.01)
.64
.36
.24
(.67)
.63
(.80)
.01
(.53)
-.08
(.52)
.11
(.52)
.06
(.58)
.13
(.07)
.73
.27
.22
(.60)
.59
(.78)
.15
(.52)
-.13
(.42)
.22
(.47)
-.14
(.40)
-.16
(-.23)
.69
.31
.20
(.68)
.49
(.80)
.18
(.62)
.18
(.61)
-.05
(.43)
.01
(.54)
-.12
(-.15)
.74
.26
.24
(.70)
.37
(.76)
.09
(.58)
.27
(.64)
-.16
(.39)
.18
(.60)
-.20
(-.20)
.75
.25
-.03
(.50)
.36
(.59)
-.01
(.43)
.20
(.58)
.30
(.59)
.04
(.50)
.05
(.08)
.51
.49
.12
(.46)
.11
(.51)
.86
(.83)
-.09
(.36)
-.10
(.25)
-.12
(.39)
-.03
(-.04)
.72
.28
-.16
(.33)
.01
(.38)
.76
(.76)
.02
(.41)
.14
(.41)
.00
(.45)
.12
(.18)
.61
.39
.02
(.37)
-.27
(.26)
.70
(.69)
.08
(.41)
.15
(.39)
.04
(.41)
-.09
(.02)
.52
.48
-.22
(.32)
.15
(.45)
.70
(.74)
.08
(.39)
-.12
(.26)
.16
(.48)
.06
(.10)
.58
.42
.12
(.55)
.39
(.68)
.67
(.81)
-.09
(.44)
-.05
(.36)
-.12
(.47)
.11
(.05)
.76
.24
-.01
(.46)
.15
(.53)
.59
(.74)
-.07
(.39)
-.15
(.28)
.30
(.59)
-.03
(.01)
.62
.38
-.14
(.43)
.44
(.66)
.56
(.73)
.01
(.43)
-.06
(.33)
.05
(.49)
.01
(-.02)
.65
.35
.13
(.33)
-.12
(.17)
.37
(.43)
.33
(.45)
.00
(.29)
-.23
(.24)
.31
(.35)
.38
.62
.29
(.49)
-.20
(.25)
.32
(.50)
.23
(.50)
.00
(.36)
.01
(.42)
.15
(.23)
.40
.60
-.01
(.50)
.03
(.44)
.01
(.42)
.77
(.75)
-.16
(.38)
.13
(.49)
-.08
(.02)
.59
.41
-.03
(.41)
-.11
(.28)
.02
(.34)
.69
(.70)
.15
(.50)
-.04
(.39)
.08
(.19)
.52
.48
.19
(.54)
.18
(.46)
-.04
(.35)
.68
(.70)
-.15
(.35)
-.16
(.35)
.09
(.10)
.54
.46
-.09
(.36)
.17
(.37)
-.08
(.27)
.65
(.64)
.13
(.45)
-.15
(.30)
.10
(.15)
.45
.55
.02
(.47)
-.26
(.26)
.29
(.55)
.49
(.68)
.09
(.51)
.17
(.56)
.14
(.30)
.60
.40
-.04
(.43)
.15
(.40)
-.02
(.38)
.42
(.61)
.00
(.43)
.18
(.52)
.25
(.32)
.46
.54
.00
(.47)
.01
(.42)
.14
(.48)
.28
(.57)
.15
(.50)
.23
(.55)
-.04
(.06)
.42
.58
.13
(.44)
-.02
(.34)
-.05
(.29)
.05
(.47)
.69
(.71)
-.05
(.37)
-.08
(.02)
.52
.48
.11
(.35)
.03
(.26)
.02
(.27)
-.19
(.31)
.62
(.62)
.00
(.36)
.21
(.28)
.43
.57
-.12
(.38)
.20
(.42)
-.13
(.28)
.17
(.53)
.61
(.71)
.04
(.43)
.06
(.14)
.54
.46
-.20
(.47)
.42
(.68)
.04
(.48)
.14
(.58)
.51
(.70)
.08
(.52)
-.18
(-.14)
.71
.29
.09
(.47)
.00
(.36)
.03
(.40)
-.07
(.46)
.38
(.61)
.35
(.61)
.17
(.28)
.51
.49
.00
(.40)
.12
(.37)
.00
(.36)
-.04
(.43)
.38
(.57)
.26
(.54)
.23
(.31)
.45
.55
.18
(.62)
.05
(.53)
.07
(.49)
.29
(.67)
.37
(.67)
.02
(.52)
-.17
(-.08)
.63
.37
-.12
(.50)
.34
(.65)
-.05
(.50)
-.02
(.48)
-.08
(.41)
.84
(.85)
-.08
(.01)
.80
.20
.06
(.59)
.20
(.64)
.19
(.63)
-.16
(.47)
.01
(.47)
.70
(.83)
-.12
(-.03)
.79
.21
.32
(.70)
.07
(.58)
.09
(.58)
-.17
(.51)
.10
(.54)
.59
(.81)
-.05
(.05)
.76
.24
.16
(.57)
-.09
(.45)
.05
(.48)
.11
(.54)
.06
(.47)
.58
(.71)
-.22
(-.08)
.59
.41
.08
(.43)
-.19
(.24)
.06
(.40)
-.01
(.44)
.26
(.53)
.50
(.64)
.17
(.33)
.52
.48
.03
(.20)
.16
(.13)
.06
(.20)
.11
(.29)
.08
(.28)
-.16
(.21)
.70
(.68)
.53
.47
.16
(.44)
.11
(.33)
-.10
(.30)
.09
(.44)
-.03
(.36)
.36
(.56)
.37
(.43)
.46
.54
19.96
2.78
2.47
1.89
1.65
1.42
1.29
42.48
!
5.92
!
5.26
!
4.02
!
3.51
!
3.03
!
2.75
!
!
!
1.0
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
.60
1.0
!
!
!
!
!
!
!
!
!
!
!
!
!
!
.53
.54
1.0
!
!
!
!
!
!
!
!
!
!
!
!
!
.64
.52
.51
1.0
!
!
!
!
!
!
!
!
!
!
!
!
.52
.43
.42
.60
1.0
!
!
!
!
!
!
!
!
!
!
!
.60
.53
.56
.58
.54
1.0
!
!
!
!
!
!
!
!
!
!
.02
-.14
.05
.13
.15
.18
1.0
Note. h² = Communality coefficient. u² = Uniqueness. Pattern coefficients >.30 are bolded (Carroll, 1993, p. 108; Child, 2006). Note that alignment of subtests with respective
CHC stratum I or II factors posited in the WJ-IV Technical Manual is indicted following each subtest name.
Table A3
WJ IV Sources of Variance According to a Schmid-Leiman Orthogonalization (7 Factor) Ages 9 to 13
Second-Order Factor First-Order Factors
g
S²
F1
S²
F2
S²
F3
S²
F4
S²
F5
S²
F6
S²
F7
S²
h²
u²
.69
.47
.54
.29
.12
.01
.03
.00
-.10
.01
-.01
.00
.04
.00
.02
.00
.80
.20
.60
.36
.53
.28
-.04
.00
-.12
.01
.02
.00
.18
.03
-.02
.00
.07
.01
.70
.30
.51
.26
.52
.27
-.11
.01
-.03
.00
-.05
.00
-.05
.00
.21
.04
.25
.06
.64
.36
.67
.44
.49
.24
.13
.02
-.03
.00
.04
.00
-.06
.00
.05
.00
.18
.03
.74
.26
.51
.26
.43
.19
-.08
.01
.02
.00
-.04
.00
-.03
.00
.20
.04
.12
.01
.51
.49
.60
.36
.40
.16
.18
.03
.11
.01
.14
.02
-.08
.01
-.16
.02
-.14
.02
.64
.36
.72
.51
.39
.16
.10
.01
.16
.02
-.05
.00
.08
.01
.02
.00
-.09
.01
.72
.28
.59
.34
.36
.13
-.13
.02
-.03
.00
.25
.06
.15
.02
.07
.01
-.20
.04
.62
.38
.71
.51
.32
.10
.16
.03
.10
.01
-.10
.01
.11
.01
.09
.01
-.19
.04
.72
.28
.59
.35
.32
.10
-.06
.00
-.02
.00
.23
.05
.18
.03
.00
.00
.04
.00
.54
.46
.55
.30
-.02
.00
.60
.36
.04
.00
.17
.03
-.14
.02
-.13
.02
.04
.00
.73
.27
.60
.36
.00
.00
.60
.36
-.05
.00
-.04
.00
.03
.00
-.03
.00
.08
.01
.73
.27
.63
.39
.00
.00
.50
.25
-.04
.00
-.11
.01
.01
.00
.23
.05
-.05
.00
.71
.29
.68
.47
.08
.01
.48
.23
-.02
.00
.06
.00
.01
.00
.04
.00
.04
.00
.71
.29
.61
.37
-.08
.01
.48
.23
-.03
.00
.07
.00
.08
.01
.10
.01
-.12
.01
.64
.36
.60
.36
.16
.02
.41
.16
-.12
.01
-.01
.00
.10
.01
-.02
.00
.31
.10
.67
.33
.72
.52
.29
.08
.35
.12
.00
.00
.02
.00
-.02
.00
.04
.00
-.03
.00
.73
.27
.61
.37
.05
.00
.34
.11
-.17
.03
-.13
.02
.14
.02
.35
.12
-.04
.00
.67
.33
.48
.23
-.03
.00
-.08
.01
.61
.37
.07
.01
.00
.00
.00
.00
.09
.01
.62
.38
.58
.34
.09
.01
.05
.00
.60
.36
-.10
.01
.02
.00
-.06
.00
-.03
.00
.72
.28
.49
.24
.13
.02
-.17
.03
.54
.29
-.03
.00
.00
.00
.09
.01
.17
.03
.62
.38
.42
.18
-.17
.03
-.01
.00
.54
.29
-.04
.00
.10
.01
.07
.01
.01
.00
.51
.49
.65
.42
.27
.07
.05
.00
.49
.24
-.02
.00
-.03
.00
-.10
.01
.09
.01
.75
.25
.60
.36
.15
.02
.03
.00
.47
.22
-.04
.00
-.05
.00
.09
.01
-.03
.00
.62
.38
.61
.37
.31
.09
-.11
.01
.42
.17
-.04
.00
.03
.00
.03
.00
.02
.00
.65
.35
.51
.26
-.01
.00
.04
.00
.17
.03
.15
.02
.13
.02
.11
.01
-.07
.00
.35
.65
.37
.14
-.01
.00
.08
.01
-.11
.01
.54
.29
.06
.00
-.07
.01
.01
.00
.46
.54
.37
.14
-.01
.00
.00
.00
.01
.00
.51
.26
-.03
.00
.04
.00
.23
.05
.45
.55
.45
.20
.03
.00
.03
.00
.03
.00
.46
.21
-.03
.00
.07
.00
.29
.08
.50
.50
.44
.19
.15
.02
-.12
.01
-.16
.03
.39
.16
.19
.04
.11
.01
.06
.00
.46
.54
.52
.27
-.04
.00
.06
.00
.04
.00
.34
.11
.02
.00
.24
.06
.12
.01
.46
.54
.49
.24
-.06
.00
-.02
.00
.00
.00
.19
.04
.45
.20
-.01
.00
-.01
.00
.48
.52
.58
.33
.10
.01
-.02
.00
.03
.00
-.06
.00
.44
.20
.07
.01
-.07
.00
.55
.45
.54
.29
.14
.02
.11
.01
-.01
.00
-.11
.01
.44
.19
-.11
.01
.03
.00
.54
.46
.47
.22
.16
.03
-.03
.00
-.03
.00
.10
.01
.40
.16
-.16
.03
.14
.02
.46
.54
.54
.29
-.21
.04
.02
.00
.26
.07
.14
.02
.36
.13
.04
.00
.10
.01
.56
.44
.63
.39
.09
.01
.02
.00
.02
.00
.19
.04
.31
.09
.07
.01
-.16
.03
.56
.44
.42
.18
-.08
.01
.12
.01
.28
.08
-.11
.01
.27
.07
-.10
.01
.27
.07
.44
.56
.54
.29
.09
.01
.05
.00
.01
.00
.08
.01
.23
.05
.08
.01
.23
.05
.42
.58
.48
.23
-.10
.01
.16
.03
.21
.04
-.07
.01
.20
.04
.09
.01
.09
.01
.37
.63
.64
.41
.31
.10
-.09
.01
.02
.00
-.02
.00
-.05
.00
.56
.31
-.12
.01
.85
.15
.65
.42
.20
.04
.01
.00
.19
.04
.04
.00
-.13
.02
.45
.20
-.10
.01
.73
.27
.59
.34
.00
.00
.07
.00
.09
.01
.06
.00
.09
.01
.39
.15
-.25
.06
.58
.42
.68
.46
.09
.01
.21
.04
.10
.01
.17
.03
-.16
.03
.38
.15
.00
.00
.72
.28
.49
.24
-.14
.02
.07
.01
.07
.01
.36
.13
-.05
.00
.35
.12
.13
.02
.55
.45
.32
.10
.06
.00
.01
.00
.11
.01
.26
.07
.03
.00
-.13
.02
.69
.48
.68
.32
.46
.21
.05
.00
.11
.01
-.05
.00
.10
.01
.05
.00
.23
.05
.30
.09
.38
.62
Common Variance (%)
53.1
9.3
7.7
8.4
6.0
5.1
5.4
5.0
60.1
39.9
Total Variance (%)
31.9
5.6
4.6
5.1
3.6
3.1
3.2
3.0
Note. g = general intelligence factor S2 = variance explained, h2 = communality, u2 = uniqueness, Loadings .30 are bolded (Carroll, 1993, p. 108; Child, 2006). Note that
alignment of subtests with respective CHC stratum I or II factors posited in the WJ-IV Technical Manual is indicted following each subtest name.
!
!
!
Table A4
!
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!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
WJ IV Sources of Variance According to a Schmid-Leiman Orthogonalization (7 Factor) Ages 14 to 19
Second-Order Factor First-Order Factors
!
!
g
S²
F1
S²
F2
S²
F3
S²
F4
S²
F5
S²
F6
S²
F7
S²
h²
u²
.66
.43
.56
.32
.05
.00
-.02
.00
-.02
.00
.01
.00
-.08
.01
.12
.01
.77
.23
.61
.37
.54
.30
-.02
.00
.04
.00
-.12
.01
.09
.01
-.05
.00
.01
.00
.69
.31
.70
.49
.46
.22
-.05
.00
-.02
.00
.01
.00
-.06
.00
.17
.03
-.03
.00
.74
.26
.68
.46
.45
.20
-.09
.01
-.03
.00
.07
.00
.05
.00
.06
.00
-.07
.00
.68
.32
.74
.55
.44
.19
.07
.00
.00
.00
.00
.00
.06
.00
.04
.00
.00
.00
.75
.25
.65
.43
.42
.18
.12
.01
-.10
.01
.12
.01
-.05
.00
-.03
.00
.19
.04
.68
.32
.74
.55
.38
.14
.28
.08
.00
.00
-.05
.00
.02
.00
.01
.00
-.02
.00
.77
.23
.69
.48
.34
.11
.03
.00
-.14
.02
.11
.01
-.07
.00
.22
.05
.01
.00
.68
.32
.69
.48
.13
.02
.53
.28
.04
.00
.02
.00
-.03
.00
-.03
.00
-.02
.00
.78
.22
.47
.22
-.09
.01
.51
.26
.02
.00
-.07
.00
-.04
.00
.14
.02
.26
.07
.58
.42
.57
.32
-.06
.00
.48
.23
-.02
.00
-.01
.00
.02
.00
.14
.02
.22
.05
.63
.37
.63
.39
-.01
.00
.47
.22
-.11
.01
.19
.03
.11
.01
-.04
.00
.04
.00
.67
.33
.71
.51
.14
.02
.45
.20
.01
.00
-.05
.00
.08
.01
.04
.00
.13
.02
.76
.24
.61
.37
.13
.02
.42
.18
.11
.01
-.08
.01
.16
.03
-.09
.01
-.16
.02
.65
.35
.72
.52
.12
.01
.35
.12
.13
.02
.11
.01
-.04
.00
.01
.00
-.12
.01
.70
.30
.73
.54
.14
.02
.27
.07
.07
.00
.17
.03
-.12
.01
.11
.01
-.20
.04
.73
.27
.63
.39
-.02
.00
.26
.07
-.01
.00
.13
.02
.22
.05
.03
.00
.05
.00
.53
.47
.53
.29
.07
.01
.08
.01
.63
.39
-.06
.00
-.07
.01
-.07
.01
-.03
.00
.70
.30
.52
.27
-.10
.01
.01
.00
.56
.31
.01
.00
.10
.01
.00
.00
.12
.01
.61
.39
.49
.24
.01
.00
-.19
.04
.51
.26
.05
.00
.11
.01
.02
.00
-.09
.01
.56
.44
.51
.26
-.13
.02
.10
.01
.51
.26
.05
.00
-.09
.01
.10
.01
.06
.00
.57
.43
.64
.40
.07
.01
.28
.08
.49
.24
-.06
.00
-.03
.00
-.08
.01
.11
.01
.74
.26
.58
.34
.00
.00
.11
.01
.43
.18
-.04
.00
-.11
.01
.19
.04
-.03
.00
.59
.41
.59
.34
-.09
.01
.32
.10
.41
.16
.01
.00
-.04
.00
.03
.00
.01
.00
.62
.38
.38
.15
.08
.01
-.09
.01
.27
.07
.21
.04
.00
.00
-.14
.02
.31
.09
.39
.61
.51
.26
.18
.03
-.14
.02
.24
.06
.14
.02
.00
.00
.01
.00
.15
.02
.41
.59
.61
.37
-.01
.00
.02
.00
.01
.00
.47
.22
-.11
.01
.08
.01
-.08
.01
.62
.38
.53
.29
-.02
.00
-.08
.01
.01
.00
.42
.18
.11
.01
-.02
.00
.08
.01
.49
.51
.56
.32
.11
.01
.13
.02
-.03
.00
.42
.18
-.11
.01
-.10
.01
.09
.01
.55
.45
.48
.23
-.05
.00
.12
.01
-.06
.00
.40
.16
.10
.01
-.10
.01
.10
.01
.44
.56
.61
.38
.01
.00
-.19
.04
.21
.05
.30
.09
.06
.00
.11
.01
.14
.02
.58
.42
.56
.31
-.02
.00
.11
.01
-.01
.00
.26
.07
.00
.00
.11
.01
.25
.06
.47
.53
.60
.35
.00
.00
.01
.00
.10
.01
.18
.03
.11
.01
.14
.02
-.04
.00
.43
.57
.51
.26
.08
.01
-.01
.00
-.03
.00
.03
.00
.50
.25
-.03
.00
-.08
.01
.53
.47
.42
.17
.07
.00
.02
.00
.02
.00
-.12
.01
.46
.21
.00
.00
.21
.04
.45
.55
.53
.28
-.07
.01
.14
.02
-.09
.01
.11
.01
.45
.20
.02
.00
.06
.00
.53
.47
.66
.43
-.12
.02
.30
.09
.03
.00
.09
.01
.37
.14
.05
.00
-.18
.03
.72
.28
.58
.34
.06
.00
.00
.00
.02
.00
-.04
.00
.28
.08
.22
.05
.17
.03
.50
.50
.53
.28
.00
.00
.09
.01
.00
.00
-.03
.00
.28
.08
.16
.03
.23
.05
.44
.56
.70
.49
.11
.01
.04
.00
.05
.00
.18
.03
.27
.07
.01
.00
-.17
.03
.63
.37
.68
.46
-.07
.01
.24
.06
-.04
.00
-.01
.00
-.06
.00
.53
.28
-.08
.01
.82
.18
.72
.52
.03
.00
.14
.02
.14
.02
-.10
.01
.01
.00
.44
.19
-.12
.01
.78
.22
.75
.56
.20
.04
.05
.00
.07
.00
-.10
.01
.07
.01
.37
.14
-.05
.00
.77
.23
.65
.43
.10
.01
-.06
.00
.03
.00
.07
.00
.04
.00
.37
.14
-.22
.05
.63
.37
.54
.29
.05
.00
-.14
.02
.05
.00
-.01
.00
.19
.04
.32
.10
.17
.03
.48
.52
.26
.07
.02
.00
.12
.01
.04
.00
.07
.00
.06
.00
-.10
.01
.70
.49
.59
.41
.50
.25
.10
.01
.08
.01
-.08
.01
.06
.00
-.02
.00
.23
.05
.37
.14
.47
.53
Common Variance (%)
59.2
6.8
8.1
7.3
4.3
4.6
4.5
5.1
61.5
38.5
Total Variance (%)
36.4
4.2
5.0
4.5
2.7
2.8
2.8
3.1
Note. g = general intelligence factor S2 = variance explained, h2 = communality, u2 = uniqueness, Loadings .30 are bolded (Carroll, 1993, p. 108; Child, 2006). Note that
alignment of subtests with respective CHC stratum I or II factors posited in the WJ-IV Technical Manual is indicted following each subtest name.
Table A5
Age 9- to 13- WJ-IV Principal Axis Factor with Promax Rotation (Eight Factors)
Pattern (Structure Coefficients)
I
II
III
IV
V
VI
VII
VIII
h²
u²
.84
(.72)
-.10
(.34)
.05
(.40)
-.20
(.30)
.05
(.24)
.08
(.45)
.19
(.17)
.25
(.11)
.63
.37
.79
(.88)
.19
(.61)
.05
(.55)
-.03
(.50)
-.03
(.30)
-.04
(.49)
-.01
(-.02)
-.03
(-.20)
.80
.20
.75
(.75)
-.04
(.46)
-.14
(.37)
.23
(.56)
.13
(.43)
-.11
(.39)
.05
(.04)
-.01
(-.11)
.63
.37
.73
(.81)
.22
(.60)
-.02
(.48)
-.11
(.47)
.08
(.37)
-.01
(.50)
.15
(.15)
-.01
(-.15)
.71
.29
.64
(.66)
-.11
(.35)
-.01
(.42)
.02
(.37)
-.09
(.21)
.21
(.49)
.10
(.11)
.04
(-.07)
.48
.52
.53
(.81)
.12
(.60)
.14
(.64)
.18
(.60)
-.05
(.35)
.03
(.54)
-.09
(-.06)
-.14
(-.30)
.75
.25
.50
(.72)
.20
(.54)
.06
(.53)
-.01
(.45)
.13
(.39)
-.09
(.38)
-.09
(-.09)
-.41
(-.54)
.74
.26
.48
(.65)
-.19
(.36)
-.05
(.41)
.14
(.54)
.40
(.61)
.11
(.48)
-.15
(-.11)
-.11
(-.23)
.63
.37
.45
(.77)
.24
(.65)
.09
(.58)
.16
(.59)
-.04
(.35)
.10
(.55)
-.19
(-.13)
-.07
(-.22)
.72
.28
.43
(.61)
-.09
(.42)
-.01
(.41)
.21
(.57)
.32
(.57)
.00
(.45)
.05
(.09)
-.05
(-.15)
.53
.47
.00
(.45)
.91
(.86)
-.05
(.34)
.02
(.50)
-.05
(.29)
-.06
(.38)
.05
(.14)
.01
(-.05)
.74
.26
-.08
(.40)
.85
(.78)
-.01
(.37)
-.11
(.41)
.06
(.33)
-.03
(.37)
.07
(.15)
-.29
(-.35)
.70
.30
.03
(.50)
.78
(.81)
-.02
(.39)
-.06
(.48)
-.09
(.27)
.22
(.54)
-.08
(.04)
.13
(.05)
.70
.30
-.12
(.41)
.74
(.77)
-.01
(.36)
.01
(.52)
.14
(.43)
.12
(.48)
-.11
(.02)
.02
(-.05)
.63
.37
.10
(.56)
.71
(.83)
-.03
(.44)
.02
(.56)
.04
(.40)
.07
(.52)
.04
(.14)
-.06
(-.14)
.70
.30
.25
(.51)
.64
(.75)
-.11
(.31)
.11
(.53)
-.03
(.32)
-.11
(.39)
.26
(.32)
.12
(.07)
.67
.33
.11
(.49)
.56
(.71)
-.18
(.28)
.12
(.53)
-.09
(.30)
.33
(.57)
-.08
(.05)
.26
(.21)
.67
.33
.43
(.74)
.56
(.78)
.04
(.51)
-.12
(.53)
.13
(.43)
-.02
(.51)
-.05
(.01)
-.02
(-.17)
.75
.25
-.01
(.40)
-.11
(.27)
.84
(.77)
-.09
(.34)
.08
(.24)
.04
(.43)
.09
(.15)
.05
(-.16)
.61
.39
.15
(.57)
.07
(.44)
.81
(.84)
-.04
(.41)
-.06
(.19)
-.08
(.43)
-.05
(.00)
.01
(-.23)
.73
.27
.26
(.51)
-.21
(.25)
.79
(.76)
-.14
(.31)
.01
(.19)
.05
(.46)
.14
(.18)
.21
(-.02)
.68
.32
-.20
(.27)
.02
(.29)
.78
(.66)
-.01
(.33)
.03
(.19)
.07
(.39)
-.02
(.09)
.20
(.02)
.50
.50
.36
(.70)
.04
(.50)
.59
(.82)
.03
(.48)
-.09
(.24)
-.06
(.48)
.09
(.11)
-.16
(-.37)
.78
.22
.18
(.60)
-.01
(.43)
.53
(.77)
.05
(.44)
-.18
(.18)
.22
(.57)
-.01
(.05)
-.15
(-.32)
.67
.33
.43
(.69)
-.19
(.37)
.50
(.75)
.09
(.47)
-.08
(.24)
.08
(.52)
.02
(.04)
-.07
(-.27)
.68
.32
-.07
(.32)
.34
(.50)
.45
(.47)
.01
(.42)
.11
(.30)
-.06
(.36)
.02
(.13)
.40
(.26)
.48
.52
-.09
(.26)
.21
(.41)
.43
(.45)
.30
(.46)
-.09
(.19)
-.20
(.25)
.21
(.28)
.25
(.14)
.42
.58
.15
(.37)
-.09
(.36)
-.15
(.26)
.75
(.67)
.02
(.41)
-.12
(.28)
.16
(.20)
-.12
(-.12)
.50
.50
.15
(.45)
.14
(.51)
-.09
(.33)
.74
(.71)
-.14
(.32)
-.13
(.31)
.02
(.08)
.00
(-.04)
.55
.45
.10
(.46)
-.05
(.44)
-.03
(.39)
.72
(.73)
-.08
(.38)
.12
(.46)
-.07
(.03)
.05
(.01)
.55
.45
-.12
(.27)
-.01
(.38)
.02
(.29)
.55
(.66)
.30
(.57)
.00
(.36)
.00
(.12)
.11
(.07)
.50
.50
-.33
(.24)
.02
(.42)
.30
(.49)
.55
(.67)
.07
(.44)
.15
(.49)
.11
(.26)
.07
(.01)
.57
.43
.10
(.41)
.04
(.45)
-.08
(.35)
.50
(.61)
-.10
(.33)
.19
(.49)
.24
(.32)
-.01
(-.02)
.47
.53
-.03
(.21)
.14
(.32)
-.05
(.16)
-.11
(.35)
.73
(.70)
-.05
(.26)
.06
(.14)
-.09
(-.14)
.51
.49
.26
(.37)
-.12
(.26)
-.07
(.19)
-.02
(.43)
.69
(.71)
.05
(.37)
.06
(.14)
.20
(.12)
.57
.43
.15
(.52)
.11
(.50)
.17
(.44)
.13
(.62)
.54
(.70)
-.04
(.46)
-.19
(-.08)
.22
(.07)
.67
.33
-.03
(.21)
-.02
(.26)
.01
(.24)
-.05
(.33)
.45
(.53)
.19
(.40)
.28
(.36)
-.12
(-.14)
.40
.60
.47
(.71)
-.12
(.43)
-.04
(.50)
-.02
(.45)
-.09
(.29)
.71
(.81)
-.10
(-.01)
.08
(-.02)
.80
.20
.11
(.58)
.27
(.62)
.03
(.54)
-.11
(.47)
-.03
(.36)
.64
(.80)
.05
(.18)
-.11
(-.20)
.72
.28
.30
(.66)
.00
(.47)
.18
(.62)
-.12
(.42)
-.08
(.28)
.64
(.79)
-.07
(.03)
-.01
(-.15)
.73
.27
-.18
(.26)
.11
(.40)
.10
(.37)
-.11
(.38)
.27
(.47)
.55
(.65)
.17
(.32)
.09
(.04)
.53
.47
-.01
(.47)
.10
(.47)
.07
(.46)
.12
(.50)
.05
(.39)
.55
(.68)
-.22
(-.08)
.04
(-.05)
.53
.47
-.09
(.32)
.05
(.41)
-.02
(.36)
.11
(.47)
.18
(.47)
.47
(.62)
.18
(.30)
-.06
(-.09)
.47
.53
.10
(.34)
.17
(.43)
-.07
(.26)
.10
(.41)
-.02
(.28)
.29
(.49)
.29
(.38)
.16
(.14)
.40
.60
-.05
(.38)
.02
(.39)
.16
(.46)
.24
(.51)
.10
(.39)
.26
(.50)
-.03
(.08)
-.08
(-.16)
.36
.64
.10
(.20)
.02
(.26)
.16
(.28)
.10
(.32)
.07
(.25)
-.10
(.25)
.66
(.68)
.06
(.03)
.54
.46
.00
(.29)
-.01
(.33)
-.04
(.31)
.08
(.42)
.26
(.48)
.30
(.50)
.36
(.44)
-.18
(-.20)
.48
.52
18.30
3.18
2.51
2.17
1.65
1.41
1.36
1.17
38.94
6.78
5.35
4.62
3.52
3.00
2.89
2.50
1.0
.57
1.0
.58
.47
1.0
.54
.61
.51
1.0
.35
.40
.29
.58
1.0
.55
.52
.55
.54
.44
1.0
-.02
.12
.09
.13
.13
.18
1.0
-.18
-.09
-.26
-.05
-.09
-.06
.06
1.0
Note. h² = Communality coefficient. u² = Uniqueness. Pattern coefficients >.30 are bolded (Carroll, 1993, p. 108; Child, 2006). Note that alignment of subtests with respective
CHC stratum I or II factors posited in the WJ-IV Technical Manual is indicted following each subtest name.
Table A6
WJ IV Sources of Variance According to a Schmid-Leiman Orthogonalization (8 Factor) Ages 9 to 13
Second-Order Factor First-Order Factors
Subtest
g
S²
F1
S²
F2
S²
F3
S²
F4
S²
F5
S²
F6
S²
F7
S²
F8
S²
h²
u²
Writing Samples (Grw)
.49
.24
.57
.32
-.07
.00
.04
.00
-.12
.01
.04
.00
.05
.00
.19
.04
.25
.06
.69
.31
Letter-Word Identification (Grw)
.69
.47
.54
.29
.13
.02
.03
.00
-.02
.00
-.03
.00
-.03
.00
-.01
.00
-.03
.00
.78
.22
Word Attack (Grw/Glr)
.61
.37
.51
.26
-.03
.00
-.10
.01
.14
.02
.11
.01
-.07
.01
.05
.00
-.01
.00
.68
.32
Passage Comprehension (Grw/Glr)
.66
.43
.50
.25
.15
.02
-.02
.00
-.07
.00
.06
.00
.00
.00
.15
.02
-.01
.00
.73
.27
Reading Recall (Grw/Glr)
.52
.27
.43
.19
-.07
.01
-.01
.00
.01
.00
-.07
.01
.15
.02
.10
.01
.04
.00
.50
.50
Spelling (Grw)
.73
.53
.36
.13
.09
.01
.10
.01
.11
.01
-.04
.00
.02
.00
-.09
.01
-.14
.02
.72
.28
Oral Reading (Grw)
.62
.38
.34
.12
.14
.02
.04
.00
.00
.00
.11
.01
-.06
.00
-.09
.01
-.40
.16
.70
.30
Spelling of Sounds (Ga/Grw)
.60
.36
.33
.11
-.13
.02
-.03
.00
.09
.01
.33
.11
.07
.01
-.15
.02
-.11
.01
.64
.36
Editing (Grw)
.72
.52
.30
.09
.16
.03
.07
.00
.10
.01
-.04
.00
.06
.00
-.19
.03
-.07
.00
.69
.31
Sounds Awareness (Grw/Ga)
.61
.37
.29
.08
-.06
.00
-.01
.00
.13
.02
.26
.07
.00
.00
.05
.00
-.05
.00
.54
.46
Picture Vocabulary (Gc)
.58
.34
.00
.00
.62
.39
-.04
.00
.01
.00
-.04
.00
-.04
.00
.05
.00
.01
.00
.73
.27
General Information (Gc)
.54
.29
-.06
.00
.58
.34
-.01
.00
-.06
.00
.05
.00
-.02
.00
.07
.01
-.29
.08
.73
.27
Social Studies (Gc)
.61
.37
.02
.00
.53
.28
-.02
.00
-.03
.00
-.07
.01
.15
.02
-.08
.01
.13
.02
.71
.29
Humanities (Gc)
.60
.36
-.08
.01
.50
.25
-.01
.00
.01
.00
.11
.01
.08
.01
-.11
.01
.02
.00
.65
.35
Oral Vocabulary (Gc)
.68
.46
.07
.00
.49
.24
-.02
.00
.01
.00
.03
.00
.05
.00
.04
.00
-.06
.00
.71
.29
Oral Comprehension (Gc)
.59
.34
.17
.03
.44
.19
-.08
.01
.06
.00
-.02
.00
-.07
.01
.26
.07
.12
.01
.66
.34
Science (Gc)
.59
.35
.07
.01
.38
.14
-.13
.02
.07
.01
-.07
.01
.22
.05
-.08
.01
.26
.07
.65
.35
Reading Vocabulary (Grw/Gc)
.71
.50
.29
.08
.38
.14
.03
.00
-.07
.01
.11
.01
-.01
.00
-.05
.00
-.02
.00
.75
.25
Letter-Pattern Matching (Gs)
.49
.24
-.01
.00
-.07
.01
.61
.37
-.06
.00
.06
.00
.02
.00
.09
.01
.05
.00
.63
.37
Word Reading Fluency (Grw/Gs)
.59
.35
.10
.01
.05
.00
.59
.34
-.03
.00
-.05
.00
-.05
.00
-.05
.00
.01
.00
.71
.29
Number-Pattern Matching (PerSpd)
.50
.25
.17
.03
-.14
.02
.58
.33
-.09
.01
.01
.00
.03
.00
.13
.02
.21
.04
.70
.30
Pair Cancellation (Gs)
.43
.18
-.14
.02
.02
.00
.57
.32
-.01
.00
.02
.00
.04
.00
-.02
.00
.20
.04
.57
.43
Sentence Reading Fluency (Grw/Gs)
.67
.45
.24
.06
.03
.00
.42
.18
.02
.00
-.08
.01
-.04
.00
.09
.01
-.16
.03
.73
.27
Math Fact Fluency (Gq/Gs)
.62
.38
.12
.02
-.01
.00
.39
.15
.03
.00
-.15
.02
.15
.02
-.01
.00
-.14
.02
.61
.39
Sentence Writing Fluency (Grw/Gs)
.63
.39
.29
.09
-.13
.02
.36
.13
.05
.00
-.06
.00
.05
.00
.02
.00
-.07
.01
.64
.36
Retrieval Fluency (Glr/Gs)
.47
.22
-.05
.00
.24
.06
.33
.11
.01
.00
.09
.01
-.04
.00
.02
.00
.40
.16
.55
.45
Rapid Picture Naming (Gs/Glr)
.42
.18
-.06
.00
.15
.02
.31
.10
.18
.03
-.07
.00
-.14
.02
.20
.04
.24
.06
.46
.54
Nonword Repetition (Ga)
.50
.25
.10
.01
-.06
.00
-.11
.01
.46
.21
.02
.00
-.08
.01
.16
.02
-.12
.01
.53
.47
Sentence Repetition (Gwm)
.56
.31
.10
.01
.09
.01
-.07
.00
.45
.21
-.12
.01
-.09
.01
.02
.00
.00
.00
.57
.43
Verbal Attention (Gwm)
.60
.36
.07
.00
-.04
.00
-.02
.00
.44
.19
-.06
.00
.08
.01
-.07
.00
.05
.00
.58
.42
Memory for Words (Aud Mem)
.51
.26
-.08
.01
-.01
.00
.02
.00
.34
.11
.25
.06
.00
.00
.00
.00
.11
.01
.45
.55
Object-Number Sequencing (Gwm)
.56
.32
-.22
.05
.01
.00
.22
.05
.34
.11
.06
.00
.10
.01
.11
.01
.07
.01
.56
.44
Understanding Directions (Gwm)
.56
.32
.07
.00
.03
.00
-.06
.00
.31
.09
-.08
.01
.13
.02
.24
.06
-.01
.00
.50
.50
Sound Blending (Ga)
.36
.13
-.02
.00
.10
.01
-.04
.00
-.07
.00
.60
.36
-.03
.00
.06
.00
-.09
.01
.52
.48
Segmentation (Ga)
.43
.19
.17
.03
-.09
.01
-.05
.00
-.01
.00
.56
.32
.03
.00
.06
.00
.19
.04
.59
.41
Phonological Processing (Ga)
.63
.39
.10
.01
.07
.01
.13
.02
.08
.01
.45
.20
-.02
.00
-.19
.04
.21
.05
.71
.29
Visual-Auditory Learning (Glr)
.38
.14
-.02
.00
-.02
.00
.00
.00
-.03
.00
.37
.14
.13
.02
.28
.08
-.11
.01
.39
.61
Number Series (Gf)
.66
.43
.32
.10
-.08
.01
-.03
.00
-.01
.00
-.08
.01
.48
.23
-.10
.01
.08
.01
.79
.21
Applied Problems (Gq)
.69
.48
.08
.01
.19
.03
.02
.00
-.07
.00
-.03
.00
.43
.19
.05
.00
-.11
.01
.73
.27
Calculations (Gq/Gs)
.66
.44
.20
.04
.00
.00
.13
.02
-.08
.01
-.06
.00
.43
.18
-.07
.00
-.01
.00
.70
.30
Analysis-Synthesis (Gf)
.50
.25
-.12
.01
.08
.01
.07
.01
-.07
.00
.22
.05
.37
.14
.17
.03
.09
.01
.50
.50
Number Matrices (Gf)
.60
.36
.00
.00
.07
.00
.05
.00
.07
.00
.04
.00
.37
.14
-.22
.05
.04
.00
.56
.44
Concept Formation (Gf)
.54
.29
-.06
.00
.04
.00
-.01
.00
.06
.00
.15
.02
.32
.10
.18
.03
-.06
.00
.46
.54
Story Recall (Glr)
.46
.21
.07
.00
.12
.01
-.05
.00
.06
.00
-.02
.00
.20
.04
.29
.08
.16
.02
.38
.62
Numbers Reversed (Gwm)
.54
.29
-.03
.00
.02
.00
.12
.01
.15
.02
.08
.01
.17
.03
-.03
.00
-.08
.01
.37
.63
Picture Recognition (Gv)
.33
.11
.07
.00
.01
.00
.11
.01
.06
.00
.06
.00
-.07
.00
.65
.42
.06
.00
.56
.44
Visualization (Gv)
.47
.22
.00
.00
-.01
.00
-.03
.00
.05
.00
.22
.05
.20
.04
.35
.12
-.18
.03
.47
.53
Common Variance (%)
53.3
8.7
8.1
7.8
4.0
5.4
4.7
4.5
3.6
61.2
38.8
Total Variance (%)
32.7
5.3
4.9
4.8
2.4
3.3
2.9
2.8
2.2
Note. g = general intelligence factor S2 = variance explained, h2 = communality, u2 = uniqueness, Loadings .30 are bolded (Carroll, 1993, p. 108; Child, 2006).
Note that alignment of subtests with respective CHC stratum I or II factors posited in the WJ-IV Technical Manual is indicted following each subtest name.
Table A7
Age 14- to 19- WJ-IV Principal Axis Factor with Promax Rotation (Eight Factors)
Pattern (Structure Coefficients)
Subtest
I
II
III
IV
V
VI
VII
VII
I
h²
u²
Picture Vocabulary (Gc)
.95
(.86)
.04
(.51)
-.04
(.43)
-.03
(.55)
.00
(.43)
-.12
(.44)
.12
(.12)
.02
(.10)
.76
.24
General Information (Gc)
.91
(.81)
-.14
(.41)
.01
(.44)
-.10
(.46)
.10
(.42)
-.05
(.44)
.03
(.07)
.19
(.26)
.70
.30
Social Studies (Gc)
.80
(.84)
-.01
(.52)
-.01
(.46)
-.08
(.55)
-.07
(.43)
.25
(.61)
-.04
(.00)
-.15
(-.04)
.74
.26
Humanities (Gc)
.75
(.81)
-.14
(.45)
-.06
(.43)
.11
(.60)
.07
(.49)
.11
(.53)
-.07
(.01)
.00
(.05)
.67
.33
Oral Comprehension (Gc)
.74
(.79)
.23
(.57)
-.11
(.38)
.07
(.59)
-.06
(.43)
-.06
(.46)
.18
(.14)
-.17
(-.09)
.70
.30
Oral Vocabulary (Gc)
.73
(.86)
.06
(.59)
.00
(.52)
.00
(.61)
.08
(.52)
.07
(.58)
.00
(.04)
.04
(.13)
.74
.26
Reading Vocabulary (Grw/Gc)
.64
(.84)
.34
(.73)
.01
(.55)
-.08
(.58)
.03
(.47)
.02
(.56)
-.02
-(.04)
.11
(.23)
.79
.21
Science (Gc)
.59
(.76)
.13
(.56)
-.16
(.39)
.07
(.60)
-.07
(.45)
.34
(.64)
-.01
(.02)
-.18
(-.10)
.69
.31
Writing Samples (Grw)
-.08
(.44)
.77
(.73)
.03
(.44)
-.16
(.43)
.05
(.40)
.20
(.53)
.21
(.15)
-.11
(.03)
.61
.39
Letter-Word Identification (Grw)
.25
(.68)
.74
(.88)
.10
(.58)
-.04
(.56)
-.01
(.41)
-.07
(.49)
-.03
-(.12)
.06
(.20)
.82
.18
Word Attack (Gr/Glr)
.00
(.54)
.71
(.79)
-.11
(.40)
.17
(.61)
.18
(.52)
-.09
(.42)
.02
-(.05)
-.05
(.00)
.68
.32
Reading Recall (Grw/Glr)
-.14
(.34)
.65