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TEST13: Ability and Aspiration, LISREL VI, p. III.5 1 Data of CALSYN & KENNY (1977)

                               Covariance Structure Analysis: Pattern and Initial Values

                                   FACTOR Model Statement
                              -------------------------------
                                   Matrix         Rows & Cols          Matrix Type
                      TERM   1-----------------------------------------------------------
                                1    _F_            6       2    GENERAL
                                2    _P_            2       2    SYMMETRIC
                      TERM   2-----------------------------------------------------------
                                3    _U_            6       6    SYMMETRIC

TEST13: Ability and Aspiration, LISREL VI, p. III.5 2 Data of CALSYN & KENNY (1977)

                              Covariance Structure Analysis: Maximum Likelihood Estimation
                                           Newton-Raphson Ridge Optimization
                                               Without Parameter Scaling
                                            Number of Parameter Estimates 13
                                         Number of Functions (Observations) 21

Optimization Start: Active Constraints= 0  Criterion= 0.505 Maximum Gradient Element= 3.765
                             Iter rest nfun act   optcrit  difcrit maxgrad   ridge     rho
                                1    0    2   0    0.0192   0.4857   0.112       0   0.669
                                2    0    3   0    0.0167  0.00249 0.00371       0   1.047
                                3    0    4   0    0.0167 4.029E-6  0.0004       0   1.081
                                4    0    5   0    0.0167 3.674E-8 0.00003       0   1.088
                                5    0    6   0    0.0167 3.52E-10  3.6E-6       0   1.091

Optimization Results: Iterations= 5 Function Calls= 7 Jacobian Calls= 6 Active Constraints= 0  Criterion= 0.016676995
Maximum Gradient Element= 3.60337E-6 Ridge= 0 Rho= 1.091
NOTE:  ABSGCONV convergence criterion satisfied.

TEST13: Ability and Aspiration, LISREL VI, p. III.5 3 Data of CALSYN & KENNY (1977)

                              Covariance Structure Analysis: Maximum Likelihood Estimation
                              Fit criterion . . . . . . . . . . . . . . . . . .     0.0167
                              Goodness of Fit Index (GFI) . . . . . . . . . . .     0.9944
                              GFI Adjusted for Degrees of Freedom (AGFI). . . .     0.9854
                              Root Mean Square Residual (RMR) . . . . . . . . .     0.0120
                              Parsimonious GFI (Mulaik, 1989) . . . . . . . . .     0.5304
                              Chi-square = 9.2557        df = 8       Prob>chi**2 = 0.3212
                              Null Model Chi-square:     df = 15                 1831.9783
                              RMSEA Estimate  . . . . . . . . . 0.0168  90%C.I.[., 0.0543]
                              Probability of Close Fit  . . . . . . . . . . . .     0.9196
                              ECVI Estimate . . . . . . . . . . 0.0641  90%C.I.[., 0.0856]
                              Bentler's Comparative Fit Index . . . . . . . . .     0.9993
                              Normal Theory Reweighted LS Chi-square  . . . . .     9.3340
                              Akaike's Information Criterion. . . . . . . . . .    -6.7443
                              Bozdogan's (1987) CAIC. . . . . . . . . . . . . .   -49.3104
                              Schwarz's Bayesian Criterion. . . . . . . . . . .   -41.3104
                              McDonald's (1989) Centrality. . . . . . . . . . .     0.9989
                              Bentler & Bonett's (1980) Non-normed Index. . . .     0.9987
                              Bentler & Bonett's (1980) NFI . . . . . . . . . .     0.9949
                              James, Mulaik, & Brett (1982) Parsimonious NFI. .     0.5306
                              Z-Test of Wilson & Hilferty (1931). . . . . . . .     0.4655
                              Bollen (1986) Normed Index Rho1 . . . . . . . . .     0.9905
                              Bollen (1988) Non-normed Index Delta2 . . . . . .     0.9993
                              Hoelter's (1983) Critical N . . . . . . . . . . .        931

                                          Estimated Parameter Matrix _P_[2:2]
                                                    Symmetric Matrix
                                                         FCOR1              FCOR2

                                      FCOR1        1.0000             0.6664[COR]
                                      FCOR2        0.6664[COR]        1.0000
                                          Estimated Parameter Matrix _F_[6:2]
                                                Lower Triangular Matrix
                                      FACT1               FACT2

                     V1        0.8632[LAM1]        0.                Self-concept of ability
                     V2        0.8493[LAM2]        0.                Perceived parental evaluation
                     V3        0.8051[LAM3]        0.                Perceived teacher evaluation
                     V4        0.6953[LAM4]        0.                Perceived friends evaluation
                     V5        0.                  0.7751[LAM5]      Educational aspiration
                     V6        0.                  0.9289[LAM6]      College plans

TEST13: Ability and Aspiration, LISREL VI, p. III.5 4 Data of CALSYN & KENNY (1977)

                              Covariance Structure Analysis: Maximum Likelihood Estimation

                                          Estimated Parameter Matrix _U_[6:6]
                                                    Diagonal Matrix
                             UVAR1              UVAR2              UVAR3

             V1        0.2549[_U1]        0.                 0.               Self-concept of ability
             V2        0.                 0.2787[_U2]        0.               Perceived parental evaluation
             V3        0.                 0.                 0.3518[_U3]      Perceived teacher evaluation
             V4        0.                 0.                 0.               Perceived friends evaluation
             V5        0.                 0.                 0.               Educational aspiration
             V6        0.                 0.                 0.               College plans


                             UVAR4              UVAR5              UVAR6

             V1        0.                 0.                 0.               Self-concept of ability
             V2        0.                 0.                 0.               Perceived parental evaluation
             V3        0.                 0.                 0.               Perceived teacher evaluation
             V4        0.5166[_U4]        0.                 0.               Perceived friends evaluation
             V5        0.                 0.3992[_U5]        0.               Educational aspiration
             V6        0.                 0.                 0.1371[_U6]      College plans

TEST13: Ability and Aspiration, LISREL VI, p. III.5 5 Data of CALSYN & KENNY (1977)

                              Covariance Structure Analysis: Maximum Likelihood Estimation

                                              Standardized Factor Loadings
                                      FACT1        FACT2

                            V1      0.86320      0.00000      Self-concept of ability
                            V2      0.84932      0.00000      Perceived parental evaluation
                            V3      0.80509      0.00000      Perceived teacher evaluation
                            V4      0.69527      0.00000      Perceived friends evaluation
                            V5      0.00000      0.77509      Educational aspiration
                            V6      0.00000      0.92893      College plans
                                             Squared Multiple Correlations
                             -------------------------------------------------------------
                                                  Error           Total
                               Parameter        Variance        Variance        R-squared
                             -------------------------------------------------------------
                                1    V1           0.254878        1.000000        0.745122
                                2    V2           0.278651        1.000000        0.721349
                                3    V3           0.351837        1.000000        0.648163
                                4    V4           0.516603        1.000000        0.483397
                                5    V5           0.399243        1.000000        0.600757
                                6    V6           0.137089        1.000000        0.862911

                                         Correlations among Exogenous Variables
                                 ------------------------------------------------------
                                 Row & Column          Parameter             Estimate
                                 ------------------------------------------------------
                                    2       1    FCOR2    FCOR1    COR         0.666369


                                      Total Determination of All Equations = 0.981
                                   Total Determination of Manifest Variables = 0.981