-
[email protected]://koko15.hus.osaka-u.ac.jp/~kano/research/tutorial.html1998.3.28-30
1998.4.2 version
-
---- ---- and
-
(r=-0.91)
-
(r=-0.49)
-
PRICE = YEAR E1
-
---- ----
-
---- ----
-
---- ----
-
[email protected]
-
(CFA)(EFA)CFA versus EFACFAEFA
-
---- ----
-
---- ----
-
Sheet1
R
X1X2X3X4X5X6
1
0.4391
0.4100.3511
0.2880.3540.1641
0.3290.3200.1900.5951
0.2480.3290.1810.4700.4641
Lawley and Maxwell (1971) 66
-
Confirmatory Factor AnalysisCFA
-
()--------
-
F
-
F2FF2.
-
---- SAS ----
DATA SCHOOL(TYPE=CORR);
_TYPE_ ='CORR'; INPUT _NAME_ $ X1-X6;
LABEL
X1='Gaelic' X2='English' X3='History' X4='Arithmet'
X5='Algebra' X6='Geometry';
CARDS;
X1 1.000 . . . . .
X2 0.439 1.000 . . . .
X3 0.410 0.351 1.000 . . .
X4 0.288 0.354 0.164 1.000 . .
X5 0.329 0.320 0.190 0.595 1.000 .
X6 0.248 0.329 0.181 0.470 0.464 1.000
;
PROC CALIS DATA=SCHOOLE M=ML DF=219 ALL;
LINEQS
X1=L_11 F1 + E1,
X2=L_21 F1 + E2,
X3=L_31 F1 + E3,
X4= L_42 F2 + E4,
X5= L_52 F2 + E5,
X6= L_62 F2 + E6;
STD
E1-E6 = DEL1-DEL6,
F1-F2 = 2*1.00;
COV
F1 F2 = PHI12;
RUN;
(F2)(X2)
LINEQS
X1=L_11 F1 + E1,
X2=L_21 F1+L_22 F2 + E2,
X3=L_31 F1 + E3,
X4= L_42 F2 + E4,
X5= L_52 F2 + E5,
X6= L_62 F2 + E6;
STD
E1-E6 = DEL1-DEL6,
F1-F2 = 2*1.00;
COV
F1 F2 = PHI12;
-
---- EQS ----
/TITLE
cfa with two factors
/SPECIFICATIONS
VARIABLES=6; CASES=220;
METHODS=ML;
MATRIX=COVARIANCE;
/LABELS
V1=Gaelic; V2=English; V3=History; V4=Arithmet; V5=Algebra;
V6=Geometry;
/EQUATIONS
V1 = *F1 + E1;
V2 = *F1 + E2;
V3 = *F1 + E3;
V4 = *F2 + E4;
V5 = *F2 + E5;
V6 = *F2 + E6;
/VARIANCES
F1 = 1.00;
F2 = 1.00;
E1 TO E6 = *;
/COVARIANCES
F2 , F1 = *;
/MATRIX
1.000
0.439 1.000
0.410 0.351 1.000
0.288 0.354 0.164 1.000
0.329 0.320 0.190 0.595 1.000
0.248 0.329 0.181 0.470 0.464 1.000
/OUTPUT
PARAMETERS;
STANDARD ERRORS;
LISTING;
/END
(F2)(V2)
/EQUATIONS
V1 = *F1 + E1;
V2 = *F1+ *F2 + E2;
V3 = *F1 + E3;
V4 = *F2 + E4;
V5 = *F2 + E5;
V6 = *F2 + E6;
/VARIANCES
F1 = 1.00;
F2 = 1.00;
E1 TO E6 = *;
/COVARIANCES
F2 , F1 = *;
-
No
Yes
LM
-
residual
S ^
X1X2X3X4X5X6
11
0.43910.4621
0.4100.35110.3660.3581
0.2880.3540.16410.3140.3070.2441
0.3290.3200.1900.59510.3150.3080.2440.5891
0.2480.3290.1810.4700.46410.2520.2470.1960.4720.4731
S^
0
-0.0230
0.044-0.0070
-0.0260.047-0.080
0.0140.012-0.0540.0060
-0.0040.082-0.015-0.002-0.0090
-
residual
S ^
X1X2X3X4X5X6
11
0.43910.4621
0.4100.35110.3660.3581
0.2880.3540.16410.3140.3070.2441
0.3290.3200.1900.59510.3150.3080.2440.5891
0.2480.3290.1810.4700.46410.2520.2470.1960.4720.4731
S^
0
-0.0230
0.044-0.0070
-0.0260.047-0.080
0.0140.012-0.0540.0060
-0.0040.082-0.015-0.002-0.0090
-
(1)
-
(2-1)
-
(2-2)
-
(3)
-
Exploratory Factor AnalysisEFA
-
EFA
-
---- ----
-
Yes
No
Yes
No
-
Sheet1
(SMC)
0.060.670.490.30
0.190.520.410.30
-0.090.640.360.21
0.81-0.050.620.42
0.750.010.570.42
0.580.060.370.30
-
---- ----Guttman Scree AICTucker-Lewis
-
Guttman S S S* S*S* tr(S*) []prinitDS*D tr[DS*D] Dml
-
Sheet1
S S*
X1X2X3X4X5X6X1X2X3X4X5X6
1.0000.3000.3000.428783705
0.4391.0000.4390.2970.2970.4216378975
0.4100.3511.0000.4100.3510.2060.2060.2595965512
0.2880.3540.1641.0000.2880.3540.1640.4200.4200.7232406575
0.3290.3200.1900.5951.0000.3290.3200.1900.5950.4180.4180.7174812108
0.2480.3290.1810.4700.4641.0000.2480.3290.1810.4700.4640.2950.2950.4189227538
1.9352.9696627757
1234556123456
2.731.130.620.600.520.402.070.43-0.07-0.12-0.17-0.21
Preliminary Eigenvalues: Total = 6 Average = 1Preliminary
Eigenvalues: Total = 1.9354749 Average = 0.32257915
Psi^{-1/2}S*Psi^{-1/2}
3.200.63-0.11-0.17-0.25-0.33
Preliminary Eigenvalues: Total = 2.96966246 Average =
0.49494374
-
SASML
Initial Factor Method: Maximum Likelihood
Prior Communality Estimates: SMC
X1 X2 X3 X4 X5 X6
0.300104 0.296586 0.206095 0.419698 0.417752 0.295240
Preliminary Eigenvalues: Total = 2.96966246 Average =
0.49494374
1 2 3
Eigenvalue 3.1973 0.6268 -0.1084
Difference 2.5705 0.7352 0.0589
Proportion 1.0767 0.2111 -0.0365
Cumulative 1.0767 1.2877 1.2512
4 5 6
Eigenvalue -0.1673 -0.2468 -0.3319
Difference 0.0795 0.0851
Proportion -0.0563 -0.0831 -0.1118
Cumulative 1.1949 1.1118 1.0000
1 factors will be retained by the PROPORTION criterion.
-
SAS prinit
Initial Factor Method: Iterated Principal Factor Analysis
Prior Communality Estimates: SMC
X1 X2 X3 X4 X5 X6
0.300104 0.296586 0.206095 0.419698 0.417752 0.295240
Preliminary Eigenvalues: Total = 1.9354749 Average =
0.32257915
1 2 3
Eigenvalue 2.0729 0.4327 -0.0731
Difference 1.6402 0.5058 0.0466
Proportion 1.0710 0.2236 -0.0378
Cumulative 1.0710 1.2946 1.2568
4 5 6
Eigenvalue -0.1197 -0.1723 -0.2051
Difference 0.0526 0.0329
Proportion -0.0618 -0.0890 -0.1060
Cumulative 1.1950 1.1060 1.0000
1 factors will be retained by the PROPORTION criterion.
_952414904.doc
-
Scree
-
Tucker-Lewis
-
SAS
Convergence criterion satisfied.
Significance tests based on 220 observations:
Test of H0: No common factors.
vs HA: At least one common factor.
Chi-square = 310.841 df = 15 Prob>chi**2 = 0.0001
Test of H0: 1 Factors are sufficient.
vs HA: More factors are needed.
Chi-square = 51.996 df = 9 Prob>chi**2 = 0.0001
Chi-square without Bartlett's correction = 52.840208721
Akaike's Information Criterion = 34.840208721
Schwarz's Bayesian Criterion = 4.2975608035
Tucker and Lewis's Reliability Coefficient = 0.7577767173
Variance explained by each factor
FACTOR1
Weighted 3.790389
Unweighted 2.105587
Final Communality Estimates and Variable Weights
Total Communality: Weighted = 3.790389
Unweighted = 2.105587
X1 X2 X3
Comm. 0.244586 0.288007 0.121284
Weight 1.324012 1.404759 1.138185
X4 X5 X6
Comm. 0.534302 0.538613 0.378794
Weight 2.146855 2.166915 1.609663
Convergence criterion satisfied.
Significance tests based on 220 observations:
Test of H0: No common factors.
vs HA: At least one common factor.
Chi-square = 310.841 df = 15 Prob>chi**2 = 0.0001
Test of H0: 2 Factors are sufficient.
vs HA: More factors are needed.
Chi-square = 2.335 df = 4 Prob>chi**2 = 0.6745
Chi-square without Bartlett's correction = 2.3799173231
Akaike's Information Criterion = -5.620082677
Schwarz's Bayesian Criterion = -19.19459286
Tucker and Lewis's Reliability Coefficient = 1.0211096922
Variance explained by each factor
FACTOR1 FACTOR2
Weighted 4.614155 1.142786
Unweighted 2.209431 0.605674
Final Communality Estimates and Variable Weights
Total Communality: Weighted = 5.756941
Unweighted = 2.815105
X1 X2 X3
Comm. 0.489826 0.405929 0.356272
Weight 1.960113 1.683306 1.553451
X4 X5 X6
Comm. 0.622633 0.568649 0.371796
Weight 2.649925 2.318306 1.591840
-
PAF ULS ULSML
SMC
(PAF)
SMC
(ULS, Minres)
(SMC)
(ML)
SMC
-
PAF: Principal Axis Factoring
-
sensitive
-
Sheet1
0.230.660.230.760.230.66
0.320.550.350.660.320.55
0.090.59-0.000.820.090.59
0.770.170.830.150.770.17
0.720.220.810.180.720.21
0.570.210.750.150.570.21
-
MLEPCA
Graph1
0.66026
0.55051
0.59078
0.17272
0.21538
0.21251
F1:
F2:
ML
&A
- &P -
0.66917
0.5179
0.63733
-0.04826
0.01458
0.05895
&A
- &P -
F1:
F2:
ML
VARIMAX
&A
- &P -
VARIMAX
0.66026
0.55051
0.59078
0.17272
0.21538
0.21251
&A
- &P -
F1:
F2:
ML
0.7639433154
0.6604353764
0.8208939856
0.1472704383
0.1798931883
0.1542368272
F1:
F2:
PCA
estimates
0.6585608135
0.5515547353
0.5908296056
0.1739603559
0.2128607958
0.2142428519
F1:
F2:
PFA
&A
- &P -
0.42856
0.28832
0.44996
-0.2728
-0.21131
-0.13169
&A
- &P -
F1:
F2:
ML
Factor 1Factor 2
X10.553320.42856
X20.568160.28832
X30.392180.44996
X40.74042-0.2728
X50.72387-0.21131
X60.59536-0.13169
converged in 3 iterations.PCAPAF
VARIMAXVARIMAXVARIMAX
Factor Matrix:
Rotated
Factor 1Factor 21212
X10.232140.66026X10.225310.76394X10.230060.65856
X20.320720.55051X20.349390.66044X20.323210.55155
X30.085180.59078X3-0.002590.82089X30.086110.59083
X40.769940.17272X40.833080.14727X40.766530.17396
X50.722670.21538X50.813600.17989X50.723580.21286
X60.571520.21251X60.749900.15424X60.573650.21424
converged in 5 iterations.
OBLIMIN
Matrix:
Pattern
Factor 1Factor 2
X10.056290.66917
X20.190050.5179
X3-0.087540.63733
X40.8129-0.04826
X50.746450.01458
X60.577240.05895
Factor Correlation Matrix:
Factor 1 Factor 2
Factor 1 1.00000
Factor 2 .51606 1.00000
&A
- &P -
Graph2
0.7639433154
0.6604353764
0.8208939856
0.1472704383
0.1798931883
0.1542368272
F1:
F2:
PCA
&A
- &P -
0.66917
0.5179
0.63733
-0.04826
0.01458
0.05895
&A
- &P -
F1:
F2:
ML
VARIMAX
&A
- &P -
VARIMAX
0.66026
0.55051
0.59078
0.17272
0.21538
0.21251
&A
- &P -
F1:
F2:
ML
0.7639433154
0.6604353764
0.8208939856
0.1472704383
0.1798931883
0.1542368272
F1:
F2:
PCA
estimates
0.6585608135
0.5515547353
0.5908296056
0.1739603559
0.2128607958
0.2142428519
F1:
F2:
PFA
&A
- &P -
0.42856
0.28832
0.44996
-0.2728
-0.21131
-0.13169
&A
- &P -
F1:
F2:
ML
Factor 1Factor 2
X10.553320.42856
X20.568160.28832
X30.392180.44996
X40.74042-0.2728
X50.72387-0.21131
X60.59536-0.13169
converged in 3 iterations.PCAPAF
VARIMAXVARIMAXVARIMAX
Factor Matrix:
Rotated
Factor 1Factor 21212
X10.232140.66026X10.225310.76394X10.230060.65856
X20.320720.55051X20.349390.66044X20.323210.55155
X30.085180.59078X3-0.002590.82089X30.086110.59083
X40.769940.17272X40.833080.14727X40.766530.17396
X50.722670.21538X50.813600.17989X50.723580.21286
X60.571520.21251X60.749900.15424X60.573650.21424
converged in 5 iterations.
OBLIMIN
Matrix:
Pattern
Factor 1Factor 2
X10.056290.66917
X20.190050.5179
X3-0.087540.63733
X40.8129-0.04826
X50.746450.01458
X60.577240.05895
Factor Correlation Matrix:
Factor 1 Factor 2
Factor 1 1.00000
Factor 2 .51606 1.00000
&A
- &P -
-
MLEPAF
Graph3
0.66026
0.55051
0.59078
0.17272
0.21538
0.21251
F1:
F2:
ML
&A
- &P -
0.66917
0.5179
0.63733
-0.04826
0.01458
0.05895
&A
- &P -
F1:
F2:
ML
VARIMAX
&A
- &P -
VARIMAX
0.66026
0.55051
0.59078
0.17272
0.21538
0.21251
&A
- &P -
F1:
F2:
ML
0.7639433154
0.6604353764
0.8208939856
0.1472704383
0.1798931883
0.1542368272
F1:
F2:
PCA
estimates
0.6585608135
0.5515547353
0.5908296056
0.1739603559
0.2128607958
0.2142428519
F1:
F2:
PFA
&A
- &P -
0.42856
0.28832
0.44996
-0.2728
-0.21131
-0.13169
&A
- &P -
F1:
F2:
ML
Factor 1Factor 2
X10.553320.42856
X20.568160.28832
X30.392180.44996
X40.74042-0.2728
X50.72387-0.21131
X60.59536-0.13169
converged in 3 iterations.PCAPAF
VARIMAXVARIMAXVARIMAX
Factor Matrix:
Rotated
Factor 1Factor 21212
X10.232140.66026X10.225310.76394X10.230060.65856
X20.320720.55051X20.349390.66044X20.323210.55155
X30.085180.59078X3-0.002590.82089X30.086110.59083
X40.769940.17272X40.833080.14727X40.766530.17396
X50.722670.21538X50.813600.17989X50.723580.21286
X60.571520.21251X60.749900.15424X60.573650.21424
converged in 5 iterations.
OBLIMIN
Matrix:
Pattern
Factor 1Factor 2
X10.056290.66917
X20.190050.5179
X3-0.087540.63733
X40.8129-0.04826
X50.746450.01458
X60.577240.05895
Factor Correlation Matrix:
Factor 1 Factor 2
Factor 1 1.00000
Factor 2 .51606 1.00000
&A
- &P -
Graph4
0.6585608135
0.5515547353
0.5908296056
0.1739603559
0.2128607958
0.2142428519
F1:
F2:
PFA
&A
- &P -
0.66917
0.5179
0.63733
-0.04826
0.01458
0.05895
&A
- &P -
F1:
F2:
ML
VARIMAX
&A
- &P -
VARIMAX
0.66026
0.55051
0.59078
0.17272
0.21538
0.21251
&A
- &P -
F1:
F2:
ML
0.7639433154
0.6604353764
0.8208939856
0.1472704383
0.1798931883
0.1542368272
F1:
F2:
PCA
estimates
0.6585608135
0.5515547353
0.5908296056
0.1739603559
0.2128607958
0.2142428519
F1:
F2:
PFA
&A
- &P -
0.42856
0.28832
0.44996
-0.2728
-0.21131
-0.13169
&A
- &P -
F1:
F2:
ML
Factor 1Factor 2
X10.553320.42856
X20.568160.28832
X30.392180.44996
X40.74042-0.2728
X50.72387-0.21131
X60.59536-0.13169
converged in 3 iterations.PCAPAF
VARIMAXVARIMAXVARIMAX
Factor Matrix:
Rotated
Factor 1Factor 21212
X10.232140.66026X10.225310.76394X10.230060.65856
X20.320720.55051X20.349390.66044X20.323210.55155
X30.085180.59078X3-0.002590.82089X30.086110.59083
X40.769940.17272X40.833080.14727X40.766530.17396
X50.722670.21538X50.813600.17989X50.723580.21286
X60.571520.21251X60.749900.15424X60.573650.21424
converged in 5 iterations.
OBLIMIN
Matrix:
Pattern
Factor 1Factor 2
X10.056290.66917
X20.190050.5179
X3-0.087540.63733
X40.8129-0.04826
X50.746450.01458
X60.577240.05895
Factor Correlation Matrix:
Factor 1 Factor 2
Factor 1 1.00000
Factor 2 .51606 1.00000
&A
- &P -
-
Sheet1
SASSPSSSTATISTICA
EQUAMAXEEQUAMAXE
ORTHOMAXORTHOMAX
QUARTIMAXQQUARTIMAXQ
BIQUARTIMAXB
PARSIMAXPARSIMAX
VARIMAXVVARIMAXV
HARRIS-KAISERHK
PROMAXPPROMAX
PROCRUSTESPROCRUSTES
OBLIMINOBLIMIN
Sheet2
Sheet3
-
()VARIMAX or
-
SAS SAS 1997, 262) SASIML
-
SAS
DATA SCHOOL(TYPE=CORR);
_TYPE_ ='CORR'; INPUT _TYPE_ $ _NAME_ $ X1-X6;
LABEL
X1='Gaelic'
X2='English'
X3='History'
X4='Arithmet'
X5='Algebra',
X6='Geometry';
CARDS;
N . 220 220 220 220 220 220
CORR X1 1.000 . . . . .
CORR X2 0.439 1.000 . . . .
CORR X3 0.410 0.351 1.000 . . .
CORR X4 0.288 0.354 0.164 1.000 . .
CORR X5 0.329 0.320 0.190 0.595 1.000 .
CORR X6 0.248 0.329 0.181 0.470 0.464 1.000
;
DATA TARGET1;
INPUT X1-X6;
CARDS;
0 0 0 1 1 1
1 1 1 0 0 0
;
PROC FACTOR DATA=SCHOOL NFACTORS=2 METHOD=ML
ROTATE=PROCRUSTES TARGET=TARGET1;
RUN;
-
12 or F F
-
1 2
(0.5,0.5)
(0.5,-.5)
(0.7,0.0)
(0.0,0.7)
1
2
-
F G
(0.5,0.5)
(0.5,-.5)
F1
F2
(0.7,0.0)
(0.0,0.7)
G1
G2
-
X1,,X2
Y1,,Y2
f
2
g
_951902473.unknown
_951904734.unknown
_952099367.doc
Var(
)
'
X
1
1
Var(
)
'
Y
2
2
_951904714.unknown
_951902377.unknown
-
---- ----
98/2/12 17
-
MLE
Sheet1
0.550.430.230.660.060.67
0.570.290.320.550.190.52
0.390.450.090.59-0.090.64
0.74-0.270.770.170.81-0.05
0.72-0.210.720.220.750.01
0.60-0.130.570.210.580.06
-
Graph2
0.66026
0.55051
0.59078
0.17272
0.21538
0.21251
F1:
F2:
ML
&A
- &P -
0.66917
0.5179
0.63733
-0.04826
0.01458
0.05895
&A
- &P -
F1:
F2:
VARIMAX
&A
- &P -
VARIMAX
0.66026
0.55051
0.59078
0.17272
0.21538
0.21251
&A
- &P -
F1:
F2:
&A
- &P -
0.42856
0.28832
0.44996
-0.2728
-0.21131
-0.13169
&A
- &P -
F1:
F2:
estimates
Factor 1Factor 2
X10.553320.42856
X20.568160.28832
X30.392180.44996
X40.74042-0.2728
X50.72387-0.21131
X60.59536-0.13169
converged in 3 iterations.
VARIMAX
Factor Matrix:
Rotated
Factor 1Factor 2
0.232140.66026
X10.320720.55051
X20.085180.59078
X30.769940.17272
X40.722670.21538
X50.571520.21251
X6
converged in 5 iterations.
OBLIMIN
Matrix:
Pattern
Factor 1Factor 2
0.056290.66917
X10.190050.5179
X2-0.087540.63733
X30.8129-0.04826
X40.746450.01458
X50.577240.05895
X6
Factor Correlation Matrix:
Factor 1 Factor 2
Factor 1 1.00000
Factor 2 .51606 1.00000
&A
- &P -
Graph5
0.42856
0.28832
0.44996
-0.2728
-0.21131
-0.13169
F1:
F2:
ML
&A
- &P -
0.66917
0.5179
0.63733
-0.04826
0.01458
0.05895
&A
- &P -
F1:
F2:
VARIMAX
&A
- &P -
VARIMAX
0.66026
0.55051
0.59078
0.17272
0.21538
0.21251
&A
- &P -
F1:
F2:
&A
- &P -
0.42856
0.28832
0.44996
-0.2728
-0.21131
-0.13169
&A
- &P -
F1:
F2:
estimates
Factor 1Factor 2
X10.553320.42856
X20.568160.28832
X30.392180.44996
X40.74042-0.2728
X50.72387-0.21131
X60.59536-0.13169
converged in 3 iterations.
VARIMAX
Factor Matrix:
Rotated
Factor 1Factor 2
0.232140.66026
X10.320720.55051
X20.085180.59078
X30.769940.17272
X40.722670.21538
X50.571520.21251
X6
converged in 5 iterations.
OBLIMIN
Matrix:
Pattern
Factor 1Factor 2
0.056290.66917
X10.190050.5179
X2-0.087540.63733
X30.8129-0.04826
X40.746450.01458
X50.577240.05895
X6
Factor Correlation Matrix:
Factor 1 Factor 2
Factor 1 1.00000
Factor 2 .51606 1.00000
&A
- &P -
-
Graph2
0.66026
0.55051
0.59078
0.17272
0.21538
0.21251
F1:
F2:
ML
&A
- &P -
0.66917
0.5179
0.63733
-0.04826
0.01458
0.05895
&A
- &P -
F1:
F2:
VARIMAX
&A
- &P -
VARIMAX
0.66026
0.55051
0.59078
0.17272
0.21538
0.21251
&A
- &P -
F1:
F2:
&A
- &P -
0.42856
0.28832
0.44996
-0.2728
-0.21131
-0.13169
&A
- &P -
F1:
F2:
estimates
Factor 1Factor 2
X10.553320.42856
X20.568160.28832
X30.392180.44996
X40.74042-0.2728
X50.72387-0.21131
X60.59536-0.13169
converged in 3 iterations.
VARIMAX
Factor Matrix:
Rotated
Factor 1Factor 2
0.232140.66026
X10.320720.55051
X20.085180.59078
X30.769940.17272
X40.722670.21538
X50.571520.21251
X6
converged in 5 iterations.
OBLIMIN
Matrix:
Pattern
Factor 1Factor 2
0.056290.66917
X10.190050.5179
X2-0.087540.63733
X30.8129-0.04826
X40.746450.01458
X50.577240.05895
X6
Factor Correlation Matrix:
Factor 1 Factor 2
Factor 1 1.00000
Factor 2 .51606 1.00000
&A
- &P -
Graph3
0.66917
0.5179
0.63733
-0.04826
0.01458
0.05895
F1:
F2:
ML
&A
- &P -
0.66917
0.5179
0.63733
-0.04826
0.01458
0.05895
&A
- &P -
F1:
F2:
VARIMAX
&A
- &P -
VARIMAX
0.66026
0.55051
0.59078
0.17272
0.21538
0.21251
&A
- &P -
F1:
F2:
&A
- &P -
0.42856
0.28832
0.44996
-0.2728
-0.21131
-0.13169
&A
- &P -
F1:
F2:
estimates
Factor 1Factor 2
X10.553320.42856
X20.568160.28832
X30.392180.44996
X40.74042-0.2728
X50.72387-0.21131
X60.59536-0.13169
converged in 3 iterations.
VARIMAX
Factor Matrix:
Rotated
Factor 1Factor 2
0.232140.66026
X10.320720.55051
X20.085180.59078
X30.769940.17272
X40.722670.21538
X50.571520.21251
X6
converged in 5 iterations.
OBLIMIN
Matrix:
Pattern
Factor 1Factor 2
0.056290.66917
X10.190050.5179
X2-0.087540.63733
X30.8129-0.04826
X40.746450.01458
X50.577240.05895
X6
Factor Correlation Matrix:
Factor 1 Factor 2
Factor 1 1.00000
Factor 2 .51606 1.00000
&A
- &P -
-
Sheet1
0.230.660.060.6700.69
0.320.550.190.5200.67
0.090.59-0.090.6400.53
0.770.170.81-0.050.770
0.720.220.750.010.770
0.570.210.580.060.620
00.520.60
x^2 df2.33542.33547.9538
P-0.6740.6740.438
-AIC-5.665-5.665-8.047
-
EFACFA
-
vs
-
Ledermann
Sheet1
p2345678910
k 011233456
-
ILedermann
Sheet1
7
1
0.8091
0.8060.8501
0.7650.8310.8671
-
Ledermann
Sheet1
p2345678910
k 011233456
-
---- ----
-
Ledermann
Sheet1
X1X2X3X4X5X6
1
0.4461
0.3210.3881
0.2130.3130.3961
0.2340.2080.3250.3521
0.4420.330.3280.2470.3471
Guttman 1954
-
Ledermann
Sheet1
p2345678910
k 011233456
-
---- ----X3 [ PRIORS=SMC]ERROR: Communality greater than 1.0
PRIORS=ONE
Sheet1
X1X2X3X4X5X6
1.0000.060.670.49
0.4391.0000.190.520.41
0.4100.3511.000-0.090.640.36
0.2880.3540.1641.0000.81-0.050.62
0.3290.3200.1900.5951.0000.750.010.57
0.2480.3290.1810.4700.4641.0000.580.060.37
-
Sheet1
10^-310^-610^-610^-610^-6
930200300400
F1F2F1F2F1F2F1F2F1F2
-0.030.78-0.030.770.120.490.210.380.240.34
0.200.470.190.480.000.79-0.010.92-0.000.99
0.79-0.010.79-0.010.750.030.740.040.740.05
0.730.050.720.050.770.010.780.010.780.01
0.580.060.580.070.540.110.550.100.560.10
0.520.530.540.460.42
Sheet2
Sheet3
Sheet1
1SMC
10^-39281
10^-6423281
-
...
-
versus
-
(EFA)(CFA) relative advantage
-
1978. (1990) --- --- (1992)19941997 AMOS EQS LISREL -- ---
-
[email protected]
1998.3.28-30
-
()
-
---- ----
-
---- ----
-
---- ----
-
/TITLE
dai2 no moderu
/SPECIFICATIONS
DATA='D:\eqs\chukosha.dat';
VARIABLES= 4; CASES= 12;
METHODS=ML;
MATRIX=RAW;
/LABELS
V1=price; V2=km;
V3=year; V4=shaken;
/EQUATIONS
V1 = *V2 + *V3 + *V4 + E1;
V2 = *V3 + E2;
/VARIANCES
V3 = *;
V4 = *;
E1 = *;
E2 = *;
/COVARIANCES
/OUTPUT
parameters;
standard errors;
listing;
/END
-
---- ----(standardized solution)
-
---- ----
-
---- = ----
-
----=----
-
----=----YEAR SHEKEN
-
----=----YEAR SHEKEN
-
---- ----
-
o
ga
-
---- ----
-
---- ----X1: X2: X3: X4:
-
---- ----
-
---- ----
-
ML
-
/TITLE V3 =1.0F2 + E3;
Multiple Indicator Model V4 = *F2 + E4;
/SPECIFICATIONS F2 = *F1 + D2;
DATA='D:\EQS\HOMER41.COV'; /VARIANCES
VARIABLES= 4; CASES= 831; F1 = 1.00;
METHODS=ML; E1 TO E4 = *;
MATRIX=COVARIANCE; D2 = *;
/LABELS /COVARIANCES
V1=tenka; V2=baransu; /OUTPUT
V3=kaisu; V4=gaku; parameters;
/EQUATIONS standard errors;
V1 = *F1 + E1; listing;
V2 = *F1 + E2; /END
HOMER41.COV
TENKA BARANSU GAKU KAISU
1.000 0.301 0.168 0.257
0.301 1.000 0.188 0.328
0.168 0.188 1.000 0.530
0.257 0.328 0.530 1.000
-
..
-
---- ----Y=73.15+0.34XY=67.56+0.42F1
-
---- ----
Sheet1
SD_LI_SD_LI_
SD1.00
Likert0.681.00
SD0.640.541.00
Likert0.520.590.721.00
-------- --------- --------- --------- --------- ---------
-------- --------- --------- --------- --------- ---------
Statel
+3 +2 +1 -1 -2 -3
+3 +2 +1 -1 -2 -3
Likert
-------- --------- --------- --------- --------- ---------
-------- --------- --------- --------- --------- ---------
-
---- ----
-
---- ----
/TITLE
Correction for attenuation
/SPECIFICATIONS
DATA='DATA4NEW.ESS';
VARIABLES= 4; CASES= 250;
METHODS=ML;
MATRIX=COVARIANCE;
/LABELS
V1=SD_APP; V2=LI_APP;
V3=SD_PRO; V4=LI_PR;
/EQUATIONS
V1 = *F1 + E1;
V2 = *F1 + E2;
V3 = *F2 + E3;
V4 = *F2 + E4;
/VARIANCES
F1 = 1.00;
F2 = 1.00;
E1 = *;
E2 = *;
E3 = *;
E4 = *;
/COVARIANCES
F2 , F1 = *;
E3 , E1 = *;
E4 , E2 = *;
/CONSTRAINTS
(V1,F1)=(V2,F1);
(V3,F2)=(V4,F2);
/OUTPUT
parameters;
standard errors;
listing;
/END
-
EFAEFAEFA
-
1
28FEB97
1 1000 89( 14) 90( 15) 80( 95) 56( 338)
2 961 75( 83) 88( 23) 86( 29) 71( 109)
3 957 89( 14) 93( 9) 61( 385) 59( 266)
4 932 100( 1) 90( 15) 52( 563) 39( 846)
5 916 83( 37) 70( 247) 75( 162) 62( 220)
6 913 79( 54) 92( 13) 76( 144) 54( 390)
7 903 90( 10) 64( 368) 69( 250) 54( 390)
8 900 77( 64) 67( 308) 76( 144) 74( 82)
9 898 95( 3) 76( 142) 60( 411) 42( 745)
10 895 91( 7) 90( 15) 54( 527) 45( 649)
11 892 67( 179) 65( 354) 85( 38) 86( 10)
12 891 82( 40) 88( 23) 61( 385) 59( 266)
13 887 90( 10) 76( 142) 44( 682) 65( 179)
14 886 85( 28) 78( 105) 77( 134) 43( 708)
15 882 73( 104) 67( 308) 81( 85) 72( 96)
16 880 98( 2) 77( 123) 44( 682) 44( 677)
17 879 73( 104) 82( 56) 83( 56) 57( 313)
18 877 80( 46) 65( 354) 75( 162) 61( 232)
19 873 88( 20) 40( 724) 80( 95) 55( 362)
20 872 68( 164) 96( 4) 82( 72) 57( 313)
-
100
.25
.35
.27
.53
.72
.96
.97
.97
.72
.96
.97
.97
-
PRISM
PRISM
,,
GFI = 0.86
RMSEA = 0.04
R-square = 0.54
( variables = 33 + 3 )
.25
.27
.72
.96
.97
.97
.53
.35
ISO14000
PL
PB
,,
-
2
-
,,
.25
.27
.72
.96
.97
.97
.53
.35
ISO14000
PL
PB
,,
ISO14000
PL
PB
-
---- ! ---- consistencycoherence
-
(1992)(1992)Bollen (1989) Structural Equations with Latent
VariablesWiley.1997Amos, Eqs, Lisrel --- --- URL
http://www.gsm.uci.edu/~joelwest/SEM/SEMBooks.html
-
AMOS SmallWaters Corporation 1507 E. 53rd Street, #452, Chicago,
IL 60615-4509, USA Email: [email protected] Web:
http://www.smallwaters.com/ Phone: +1 773-667-8635 Fax: +1
773-955-6252 150 1-1-39 Email: [email protected] Web:
http://www.spss.co.jp/ Phone: 03-5466-5511 Fax: 03-5466-5621EQS
Multivariate Software, Inc. 4924 Balboa Blvd. #368 Encino, CA
91316, USA Email: [email protected] Web: http://www.mvsoft.com/
Phone: +1 818-906-0740 Fax: +1 818-906-8205LISREL Scientific
Software International Email: [email protected] Web:
http://www.ssicentral.com/ 1525 East 53rd Street, Suite 906
Chicago, IL 60615-4530, USA Phone: +1 312-684-4920 Fax: +1
312-684-4979SAS(CALIS): SAS 104-0054 1-13-1 8F
http://www.sas.com/japan/ TEL:03-3533-6921 FAX:03-3533-6927
