Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Pattern and Initial Values
RAM Model Statement
-------------------------------
Matrix Rows & Cols Matrix Type
Term 1-----------------------------------------------------------
1 _IDE_ 6 9 IDENTITY
2 _A_ 9 9 GENERAL IMINUSINV
3 _P_ 9 9 SYMMETRIC
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Pattern and Initial Values
RAM Pattern and Values
------------------------------------------------------
Term &
Matrix Row & Column Parameter Estimate
------------------------------------------------------
1 2 1 7 . 1.000000
V1 F1
1 2 2 7 . 0.833000
V2 F1
1 2 3 8 . 1.000000
V3 F2
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Pattern and Initial Values
RAM Pattern and Values
------------------------------------------------------
Term &
Matrix Row & Column Parameter Estimate
------------------------------------------------------
1 2 4 8 . 0.833000
V4 F2
1 2 5 9 . 1.000000
V5 F3
1 2 6 9 LAMB 0.500000
V6 F3
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Pattern and Initial Values
RAM Pattern and Values
------------------------------------------------------
Term &
Matrix Row & Column Parameter Estimate
------------------------------------------------------
1 2 7 9 GAM1 -0.500000
F1 F3
1 2 8 7 BETA 0.500000
F2 F1
1 2 8 9 GAM2 -0.500000
F2 F3
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Pattern and Initial Values
RAM Pattern and Values
------------------------------------------------------
Term &
Matrix Row & Column Parameter Estimate
------------------------------------------------------
1 3 1 1 THE1 3.000000
E1 E1
1 3 2 2 THE2 3.000000
E2 E2
1 3 3 1 THE5 0.200000
E3 E1
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Pattern and Initial Values
RAM Pattern and Values
------------------------------------------------------
Term &
Matrix Row & Column Parameter Estimate
------------------------------------------------------
1 3 3 3 THE1 3.000000
E3 E3
1 3 4 2 THE5 0.200000
E4 E2
1 3 4 4 THE2 3.000000
E4 E4
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Pattern and Initial Values
RAM Pattern and Values
------------------------------------------------------
Term &
Matrix Row & Column Parameter Estimate
------------------------------------------------------
1 3 5 5 THE3 3.000000
E5 E5
1 3 6 6 THE4 3.000000
E6 E6
1 3 7 7 PSI1 4.000000
D1 D1
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Pattern and Initial Values
RAM Pattern and Values
------------------------------------------------------
Term &
Matrix Row & Column Parameter Estimate
------------------------------------------------------
1 3 8 8 PSI2 4.000000
D2 D2
1 3 9 9 PHI 6.000000
D3 D3
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
932 Observations Model Terms 1
6 Variables Model Matrices 3
21 Informations Parameters 12
VARIABLE Mean Std Dev
V1 0 3.44005814 Anomia (1967)
V2 0 3.06006536 Anomia (1971)
V3 0 3.54005650 Education
V4 0 3.16006329 Powerlessness (1967)
V5 0 3.10000000 Powerlessness (1971)
V6 0 21.21999057 Occupational Status Index
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Covariances
V1 V2 V3
V1 11.83400000 6.94700000 6.81900000 Anomia (1967)
V2 6.94700000 9.36400000 5.09100000 Anomia (1971)
V3 6.81900000 5.09100000 12.53200000 Education
V4 4.78300000 5.02800000 7.49500000 Powerlessness (1967)
V5 -3.83900000 -3.88900000 -3.84100000 Powerlessness (1971)
V6 -21.89900000 -18.83100000 -21.74800000 Occupational Status Index
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Covariances
V4 V5 V6
V1 4.78300000 -3.83900000 -21.8990000 Anomia (1967)
V2 5.02800000 -3.88900000 -18.8310000 Anomia (1971)
V3 7.49500000 -3.84100000 -21.7480000 Education
V4 9.98600000 -3.62500000 -18.7750000 Powerlessness (1967)
V5 -3.62500000 9.61000000 35.5220000 Powerlessness (1971)
V6 -18.77500000 35.52200000 450.2880000 Occupational Status Index
Determinant = 6080570 (Ln = 15.621)
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Vector of Initial Estimates
LAMB 1 0.50000 Matrix Entry: _A_[6:9]
GAM1 2 -0.50000 Matrix Entry: _A_[7:9]
BETA 3 0.50000 Matrix Entry: _A_[8:7]
GAM2 4 -0.50000 Matrix Entry: _A_[8:9]
THE1 5 3.00000 Matrix Entry: _P_[1:1] _P_[3:3]
THE2 6 3.00000 Matrix Entry: _P_[2:2] _P_[4:4]
THE5 7 0.20000 Matrix Entry: _P_[3:1] _P_[4:2]
THE3 8 3.00000 Matrix Entry: _P_[5:5]
THE4 9 3.00000 Matrix Entry: _P_[6:6]
PSI1 10 4.00000 Matrix Entry: _P_[7:7]
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
PSI2 11 4.00000 Matrix Entry: _P_[8:8]
PHI 12 6.00000 Matrix Entry: _P_[9:9]
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Predetermined Elements of the Predicted Moment Matrix
V1 V2 V3
V1 . . . Anomia (1967)
V2 . . . Anomia (1971)
V3 . . . Education
V4 . . . Powerlessness (1967)
V5 . . . Powerlessness (1971)
V6 . . . Occupational Status Index
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Predetermined Elements of the Predicted Moment Matrix
V4 V5 V6
V1 . . . Anomia (1967)
V2 . . . Anomia (1971)
V3 . . . Education
V4 . . . Powerlessness (1967)
V5 . . . Powerlessness (1971)
V6 . . . Occupational Status Index
Sum of Squared Differences = 0
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Newton-Raphson Minimization
Algorithm for Hessian= 1
Maximum Iterations= 50
Maximum Function Calls= 125
Maximum Absolute Gradient Criterion= 0.001
Number of Estimates= 12 Lower Bounds= 0 Upper Bounds= 0
Minimization Start: Active Constraints= 0 Criterion= 119.333
Maximum Gradient Element= 74.017
Iter nfun act mincrit maxgrad difcrit ridge rhoratio
1 2 0 0.82689 1.3507 118.5 0 0.00771
2 3 0 0.09859 0.2330 0.7283 0 0.3579
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
3 4 0 0.01581 0.006841 0.0828 0 0.6424
4 5 0 0.01449 0.000286 0.00132 0 0.5211
Minimization Results: Iterations= 4 Function Calls= 5 Derivative Calls= 5
Active Constraints= 0 Criterion= 0.0145 Maximum Gradient Element= 0.000286
Ridge= 0
NOTE: Convergence criterion satisfied.
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Predicted Model Matrix
V1 V2 V3
V1 11.90782705 6.91048074 6.82960592 Anomia (1967)
V2 6.91048074 9.34828500 4.93504725 Anomia (1971)
V3 6.82960592 4.93504725 12.61958155 Education
V4 4.93504725 5.01607381 7.50337223 Powerlessness (1967)
V5 -4.17092670 -3.47438194 -4.06664939 Powerlessness (1971)
V6 -22.37313101 -18.63681813 -21.81378056 Occupational Status Index
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Predicted Model Matrix
V4 V5 V6
V1 4.93504725 -4.17092670 -22.3731310 Anomia (1967)
V2 5.01607381 -3.47438194 -18.6368181 Anomia (1971)
V3 7.50337223 -4.06664939 -21.8137806 Education
V4 9.84216362 -3.38751895 -18.1708792 Powerlessness (1967)
V5 -3.38751895 9.61000000 35.5180613 Powerlessness (1971)
V6 -18.17087921 35.51806130 450.2671667 Occupational Status Index
Determinant = 6169544 (Ln = 15.635)
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Residual Matrix
V1 V2 V3
V1 -.0738270546 0.0365192612 -.0106059159 Anomia (1967)
V2 0.0365192612 0.0157149963 0.1559527544 Anomia (1971)
V3 -.0106059159 0.1559527544 -.0875815489 Education
V4 -.1520472456 0.0119261938 -.0083722325 Powerlessness (1967)
V5 0.3319266974 -.4146180610 0.2256493950 Powerlessness (1971)
V6 0.4741310142 -.1941818651 0.0657805584 Occupational Status Index
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Residual Matrix
V4 V5 V6
V1 -.1520472456 0.3319266974 0.4741310142 Anomia (1967)
V2 0.0119261938 -.4146180610 -.1941818651 Anomia (1971)
V3 -.0083722325 0.2256493950 0.0657805584 Education
V4 0.1438363821 -.2374810540 -.6041207948 Powerlessness (1967)
V5 -.2374810540 0.0000000000 0.0039386982 Powerlessness (1971)
V6 -.6041207948 0.0039386982 0.0208332652 Occupational Status Index
Average Absolute Residual = 0.1557
Average Off-diagonal Absolute Residual = 0.1952
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Normalized Residual Matrix
V1 V2 V3
V1 -0.1338 0.0884 -0.0231 Anomia (1967)
V2 0.0884 0.0363 0.3991 Anomia (1971)
V3 -0.0231 0.3991 -0.1498 Education
V4 -0.3901 0.0336 -0.0190 Powerlessness (1967)
V5 0.8826 -1.2539 0.5868 Powerlessness (1971)
V6 0.1890 -0.0878 0.0256 Occupational Status Index
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Normalized Residual Matrix
V4 V5 V6
V1 -0.3901 0.8826 0.1890 Anomia (1967)
V2 0.0336 -1.2539 -0.0878 Anomia (1971)
V3 -0.0190 0.5868 0.0256 Education
V4 0.3155 -0.7040 -0.2673 Powerlessness (1967)
V5 -0.7040 0.0000 0.0016 Powerlessness (1971)
V6 -0.2673 0.0016 0.0010 Occupational Status Index
Average Normalized Residual = 0.2661
Average Off-diagonal Normalized Residual = 0.3301
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Rank Order of 10 Largest Normalized Residuals
V5,V2 V5,V1 V5,V4 V5,V3 V3,V2 V4,V1 V4,V4
-1.2539 0.8826 -0.7040 0.5868 0.3991 -0.3901 0.3155
V6,V4 V6,V1 V3,V3
-0.2673 0.1890 -0.1498
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Distribution of Normalized Residuals
(Each * represents 1 residuals)
-1.50000 - -1.25000 1 4.76% | *
-1.25000 - -1.00000 0 0.00% |
-1.00000 - -0.75000 0 0.00% |
-0.75000 - -0.50000 1 4.76% | *
-0.50000 - -0.25000 2 9.52% | **
-0.25000 - 0 5 23.81% | *****
0 - 0.25000 8 38.10% | ********
0.25000 - 0.50000 2 9.52% | **
0.50000 - 0.75000 1 4.76% | *
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
0.75000 - 1.00000 1 4.76% | *
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Fit criterion . . . . . . . . . . . . . . . . . . 0.0145
Goodness of Fit Index (GFI) . . . . . . . . . . . 0.9953
GFI Adjusted for Degrees of Freedom (AGFI) . . . 0.9890
Root Mean Square Residual (RMR) . . . . . . . . . 0.2294
Chi-square = 13.4860 df = 9 Prob>chi**2 = 0.1418
Null Model Chi-square: df = 15 2131.4327
Bentler's Comparative Fit Index . . . . . . . . . 0.9979
Normal Theory Reweighted LS Chi-square . . . . . 13.2870
Akaike's Information Criterion . . . . . . . . . -4.5140
Consistent Information Criterion . . . . . . . . -57.0500
Schwarz's Bayesian Criterion . . . . . . . . . . -48.0500
McDonald's (1989) Centrality. . . . . . . . . . . 0.9976
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Bentler & Bonett's (1980) Non-normed Index. . . . 0.9965
Bentler & Bonett's (1980) Normed Index. . . . . . 0.9937
James, Mulaik, & Brett (1982) Parsimonious Index. 0.5962
Z-Test of Wilson & Hilferty (1931) . . . . . . . 1.0756
Bollen (1986) Normed Index Rho1 . . . . . . . . . 0.9895
Bollen (1988) Non-normed Index Delta2 . . . . . . 0.9979
Hoelter's (1983) Critical N . . . . . . . . . . . 1169
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
RAM Pattern and Values
------------------------------------------------------------------------
Term & Standard
Matrix Row & Column Parameter Estimate Error t Value
------------------------------------------------------------------------
1 2 1 7 . 1.000000 0 0.000
V1 F1
1 2 2 7 . 0.833000 0 0.000
V2 F1
1 2 3 8 . 1.000000 0 0.000
V3 F2
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
RAM Pattern and Values
------------------------------------------------------------------------
Term & Standard
Matrix Row & Column Parameter Estimate Error t Value
------------------------------------------------------------------------
1 2 4 8 . 0.833000 0 0.000
V4 F2
1 2 5 9 . 1.000000 0 0.000
V5 F3
1 2 6 9 LAMB 5.364067 0.433175 12.383
V6 F3
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
RAM Pattern and Values
------------------------------------------------------------------------
Term & Standard
Matrix Row & Column Parameter Estimate Error t Value
------------------------------------------------------------------------
1 2 7 9 GAM1 -0.629909 0.056305 -11.188
F1 F3
1 2 8 7 BETA 0.593235 0.046771 12.684
F2 F1
1 2 8 9 GAM2 -0.240476 0.054843 -4.385
F2 F3
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
RAM Pattern and Values
------------------------------------------------------------------------
Term & Standard
Matrix Row & Column Parameter Estimate Error t Value
------------------------------------------------------------------------
1 3 1 1 THE1 3.611932 0.200887 17.980
E1 E1
1 3 2 2 THE2 3.591855 0.164340 21.856
E2 E2
1 3 3 1 THE5 0.905179 0.121595 7.444
E3 E1
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
RAM Pattern and Values
------------------------------------------------------------------------
Term & Standard
Matrix Row & Column Parameter Estimate Error t Value
------------------------------------------------------------------------
1 3 3 3 THE1 3.611932 0.200887 17.980
E3 E3
1 3 4 2 THE5 0.905179 0.121595 7.444
E4 E2
1 3 4 4 THE2 3.591855 0.164340 21.856
E4 E4
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
RAM Pattern and Values
------------------------------------------------------------------------
Term & Standard
Matrix Row & Column Parameter Estimate Error t Value
------------------------------------------------------------------------
1 3 5 5 THE3 2.988520 0.498665 5.993
E5 E5
1 3 6 6 THE4 259.745900 18.297112 14.196
E6 E6
1 3 7 7 PSI1 5.668593 0.422769 13.408
D1 D1
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
RAM Pattern and Values
------------------------------------------------------------------------
Term & Standard
Matrix Row & Column Parameter Estimate Error t Value
------------------------------------------------------------------------
1 3 8 8 PSI2 4.515138 0.335193 13.470
D2 D2
1 3 9 9 PHI 6.621480 0.639152 10.360
D3 D3
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Standardized Coefficients
-----------------------------------------
Row & Column Parameter Estimate
-----------------------------------------
1 7 0.834671
V1 F1
2 7 0.784713
V2 F1
3 8 0.844857
V3 F2
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Standardized Coefficients
-----------------------------------------
Row & Column Parameter Estimate
-----------------------------------------
4 8 0.796903
V4 F2
5 9 0.830072
V5 F3
6 9 LAMB 0.650484
V6 F3
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Standardized Coefficients
-----------------------------------------
Row & Column Parameter Estimate
-----------------------------------------
7 9 GAM1 -0.562760
F1 F3
8 7 BETA 0.569315
F2 F1
8 9 GAM2 -0.206179
F2 F3
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Variances of Endogenous Variables
------------------------------------------
Variable Estimate R-squared
------------------------------------------
1 E1 11.907827 0.696676
2 E2 9.348285 0.615774
3 E3 12.619582 0.713784
4 E4 9.842164 0.635054
5 E5 9.610000 0.689020
6 E6 450.267167 0.423129
7 D1 8.295895 0.316699
8 D2 9.007650 0.498744
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Correlations among Exogenous Variables
------------------------------------------------
Row & Column Parameter Estimate
------------------------------------------------
3 1 E3 E1 THE5 0.250608
4 2 E4 E2 THE5 0.252009
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Predicted Moments of Latent Variables
F1 F2 F3
F1 8.295895245 5.924426465 -4.170926697
F2 5.924426465 9.007649739 -4.066649395
F3 -4.170926697 -4.066649395 6.621479579
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Predicted Moments between Manifest and Latent Variables
F1 F2 F3
V1 8.29589524 5.92442647 -4.17092670
V2 6.91048074 4.93504725 -3.47438194
V3 5.92442647 9.00764974 -4.06664939
V4 4.93504725 7.50337223 -3.38751895
V5 -4.17092670 -4.06664939 6.62147958
V6 -22.37313101 -21.81378056 35.51806130
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Total Effects on Exogenous by Endogenous Variables
F1 F2 F3
V1 1.000000000 0.000000000 -0.629908565
V2 0.833000000 0.000000000 -0.524713834
V3 0.593235271 1.000000000 -0.614160226
V4 0.494164981 0.833000000 -0.511595468
V5 0.000000000 0.000000000 1.000000000
V6 0.000000000 0.000000000 5.364067182
F1 0.000000000 0.000000000 -0.629908565
F2 0.593235271 0.000000000 -0.614160226
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Indirect Effects on Exogenous by Endogenous Variables
F1 F2 F3
V1 0.0000000000 0 -.6299085647
V2 0.0000000000 0 -.5247138344
V3 0.5932352708 0 -.6141602261
V4 0.4941649806 0 -.5115954683
V5 0.0000000000 0 0.0000000000
V6 0.0000000000 0 0.0000000000
F1 0.0000000000 0 0.0000000000
F2 0.0000000000 0 -.3736839779
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Latent Variable Score Regression Coefficients
F1 F2 F3
V1 0.3798501384 -.2089915382 -.0521100177 Anomia (1967)
V2 0.3182691706 -.1756168559 -.0436167266 Anomia (1971)
V3 0.0276072399 0.3893199656 -.0399102832 Education
V4 0.0226581495 0.3265010728 -.0333784053 Powerlessness (1967)
V5 0.2439524457 0.1023049114 0.5064559867 Powerlessness (1971)
V6 0.0150559066 0.0063139076 0.0312567231 Occupational Status Index
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints
------------------------------------------
| Lagrange Multiplier or Wald Index |
------------------------------------------
| Probability | Approx Change of Value |
------------------------------------------
E1 E2 E3
E1 323.277 [THE1] 0.158 55.417 [THE5]
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E1 E2 E3
0.691 0.090
E2 0.158 477.695 [THE2] 0.584
0.691 0.090 0.445 0.233
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E1 E2 E3
E3 55.417 [THE5] 0.584 323.277 [THE1]
0.445 0.233
E4 1.224 55.417 [THE5] 0.151
0.269 -0.326 0.698 -0.090
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E1 E2 E3
E5 5.835 7.337 1.600
0.016 0.520 0.007 -0.506 0.206 0.271
E6 0.745 1.418 0.102
0.388 -1.259 0.234 1.543 0.750 -0.459
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E1 E2 E3
D1 0.467 0.461 1.193
0.494 0.228 0.497 -0.190 0.275 0.299
D2 0.001 0.000 0.648
0.981 0.001 0.986 -0.001 0.421 -0.281
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E1 E2 E3
D3 3.421 3.393 0.575
0.064 0.508 0.065 -0.424 0.448 0.209
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E4 E5 E6
E1 1.224 5.835 0.745
0.269 -0.326 0.016 0.520 0.388 -1.259
E2 55.417 [THE5] 7.337 1.418
0.007 -0.506 0.234 1.543
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E4 E5 E6
E3 0.151 1.600 0.102
0.698 -0.090 0.206 0.271 0.750 -0.459
E4 477.695 [THE2] 1.202 0.003
0.273 -0.204 0.958 0.070
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E4 E5 E6
E5 1.202 35.917 [THE3] sing
0.273 -0.204 . .
E6 0.003 sing 201.527 [THE4]
0.958 0.070 . .
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E4 E5 E6
D1 1.189 0.076 0.092
0.276 -0.249 0.783 -0.279 0.762 1.495
D2 0.635 0.105 0.108
0.426 0.234 0.746 0.106 0.742 -0.571
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E4 E5 E6
D3 0.581 sing sing
0.446 -0.174 . . . .
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
D1 D2 D3
E1 0.467 0.001 3.421
0.494 0.228 0.981 0.001 0.064 0.508
E2 0.461 0.000 3.393
0.497 -0.190 0.986 -0.001 0.065 -0.424
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
D1 D2 D3
E3 1.193 0.648 0.575
0.275 0.299 0.421 -0.281 0.448 0.209
E4 1.189 0.635 0.581
0.276 -0.249 0.426 0.234 0.446 -0.174
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
D1 D2 D3
E5 0.076 0.105 sing
0.783 -0.279 0.746 0.106 . .
E6 0.092 0.108 sing
0.762 1.495 0.742 -0.571 . .
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
D1 D2 D3
D1 179.781 [PSI1] sing sing
. . . .
D2 sing 181.448 [PSI2] sing
. . . .
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _P_[9:9]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
D1 D2 D3
D3 sing sing 107.325 [PHI ]
. . . .
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Rank order of 10 largest Lagrange multipliers in _P_
E5 : E2 E5 : E1 D3 : E1
7.3366 : 0.007 5.8351 : 0.016 3.4212 : 0.064
D3 : E2 E5 : E3 E6 : E2
3.3926 : 0.065 1.6004 : 0.206 1.4181 : 0.234
E4 : E1 E5 : E4 D1 : E3
1.2241 : 0.269 1.2024 : 0.273 1.1929 : 0.275
D1 : E4
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
1.1891 : 0.276
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints
------------------------------------------
| Lagrange Multiplier or Wald Index |
------------------------------------------
| Probability | Approx Change of Value |
------------------------------------------
V1 V2 V3
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
V1 sing 0.172 0.047
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints (Contd.)
V1 V2 V3
. . 0.678 -0.016 0.828 -0.006
V2 0.616 sing 0.638
0.432 0.022 . . 0.425 0.018
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints (Contd.)
V1 V2 V3
V3 0.396 0.303 sing
0.529 0.018 0.582 0.018 . .
V4 0.452 0.254 0.000
0.501 -0.016 0.615 -0.014 0.997 -0.000
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints (Contd.)
V1 V2 V3
V5 5.526 8.539 2.753
0.019 0.124 0.003 -0.146 0.097 0.078
V6 0.441 1.418 0.322
0.507 -0.219 0.234 0.393 0.571 -0.160
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints (Contd.)
V1 V2 V3
F1 1.079 1.065 1.618
0.299 0.098 0.302 -0.082 0.203 0.099
F2 0.014 0.019 0.517
0.904 -0.010 0.891 0.009 0.472 -0.063
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints (Contd.)
V1 V2 V3
F3 4.487 4.395 1.597
0.034 0.166 0.036 -0.139 0.206 0.100
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints (Contd.)
V4 V5 V6
V1 0.805 5.445 0.124
0.369 -0.028 0.020 0.070 0.724 0.001
V2 0.013 5.873 0.027
0.909 0.003 0.015 -0.061 0.869 -0.001
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints (Contd.)
V4 V5 V6
V3 0.153 1.153 0.028
0.696 -0.015 0.283 0.032 0.866 0.001
V4 sing 0.990 0.147
. . 0.320 -0.025 0.702 -0.001
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints (Contd.)
V4 V5 V6
V5 2.113 sing sing
0.146 -0.067 . . . .
V6 0.018 sing sing
0.893 0.043 . . . .
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints (Contd.)
V4 V5 V6
F1 1.610 0.056 0.100
0.204 -0.083 0.813 -0.093 0.752 0.006
F2 0.500 0.099 0.110
0.479 0.052 0.753 0.036 0.740 -0.002
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints (Contd.)
V4 V5 V6
F3 1.604 sing sing
0.205 -0.084 . . . .
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints (Contd.)
F1 F2 F3
V1 0.423 0.473 3.421
0.515 -0.026 0.492 -0.024 0.064 0.077
V2 0.421 0.474 3.393
0.516 0.021 0.491 0.020 0.065 -0.064
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints (Contd.)
F1 F2 F3
V3 0.161 0.090 0.575
0.688 0.014 0.764 -0.011 0.448 0.032
V4 0.159 0.089 0.581
0.690 -0.012 0.765 0.009 0.446 -0.026
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints (Contd.)
F1 F2 F3
V5 0.074 0.119 sing
0.786 -0.049 0.730 0.033 . .
V6 0.087 0.119 153.343 [LAMB]
0.768 0.264 0.731 -0.177
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints (Contd.)
F1 F2 F3
F1 sing sing 125.160 [GAM1]
. . . .
F2 160.878 [BETA] sing 19.227 [GAM2]
. .
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _A_[9:9]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints (Contd.)
F1 F2 F3
F3 sing sing sing
. . . . . .
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Rank order of 10 largest Lagrange multipliers in _A_
V5 : V2 V2 : V5 V5 : V1
8.5394 : 0.003 5.8730 : 0.015 5.5256 : 0.019
V1 : V5 F3 : V1 F3 : V2
5.4446 : 0.020 4.4875 : 0.034 4.3947 : 0.036
V1 : F3 V2 : F3 V5 : V3
3.4212 : 0.064 3.3926 : 0.065 2.7532 : 0.097
V5 : V4
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
2.1129 : 0.146
Stability of Alienation, Example in EQS and LISREL Guide
Covariance Structure Analysis: Maximum Likelihood Estimation
Univariate Lagrange Multiplier Test
For Releasing Equality Constraints
---------------------------------------------------
Chi-Square Prob Parameter Equal to
---------------------------------------------------
0.021204 0.8842 _P_[1:1] = _P_[3:3]
0.695390 0.4043 _P_[2:2] = _P_[4:4]
1.346886 0.2458 _P_[3:1] = _P_[4:2]
Ces tableaux correspondent aux sorties suivantes
et
intervient dans le modèle par
(IMINUSINV).
.
(N=nombre d'observations).
où
est la variance de la variable dépendante et
est la variance de la variable
indépendante, ces variances étant
déterminées par le modèle.
