Mplus VERSION 7.4
MUTHEN & MUTHEN
06/04/2016   6:20 AM

INPUT INSTRUCTIONS


  TITLE:  Regressing math10 on math7

  DATA:
      FILE = dropout.dat;
      FORMAT = 11f8 6f8.2 1f8 2f8.2 10f2;

  VARIABLE:
      NAMES ARE id school gender mothed fathed fathsei ethnic expect
              pacpush pmpush homeres
               math7 math8 math9 math10 math11 math12 problem esteem mathatt
               clocatn dlocatn elocatn flocatn glocatn hlocatn ilocatn jlocatn
              klocatn llocatn;
      MISSING = mothed (8) fathed (8)  fathsei (996 998)
                ethnic (8) homeres (98) math7-math12 (996 998);
      IDVARIABLE = id;
      USEVAR = math7 math10 mothed male inter1 inter2;

  Define:
      inter1 = math7*mothed;
      male = gender - 1;
      inter2 = math7*male;

  Analysis:
      estimator = mlr;

  MODEL:
      math10 ON math7 mothed male inter1 inter2;

  OUTPUT:
      TECH1 SAMPSTAT STDYX RESIDUAL CINTERVAL;

  Plot:
      TYPE = PLOT3;





*** WARNING
  Data set contains cases with missing on x-variables.
  These cases were not included in the analysis.
  Number of cases with missing on x-variables:  149
*** WARNING
  Data set contains cases with missing on all variables except
  x-variables.  These cases were not included in the analysis.
  Number of cases with missing on all variables except x-variables:  998
   2 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS



Regressing math10 on math7

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1969

Number of dependent variables                                    1
Number of independent variables                                  5
Number of continuous latent variables                            0

Observed dependent variables

  Continuous
   MATH10

Observed independent variables
   MATH7       MOTHED      MALE        INTER1      INTER2

Variables with special functions

  ID variable           ID

Estimator                                                      MLR
Information matrix                                        OBSERVED
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20
Maximum number of iterations for H1                           2000
Convergence criterion for H1                             0.100D-03

Input data file(s)
  dropout.dat

Input data format
  (11F8 6F8.2 1F8 2F8.2 10F2)


SUMMARY OF DATA

     Number of missing data patterns             1


COVARIANCE COVERAGE OF DATA

Minimum covariance coverage value   0.100


     PROPORTION OF DATA PRESENT


           Covariance Coverage
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
 MATH10         1.000
 MATH7          1.000         1.000
 MOTHED         1.000         1.000         1.000
 MALE           1.000         1.000         1.000         1.000
 INTER1         1.000         1.000         1.000         1.000         1.000
 INTER2         1.000         1.000         1.000         1.000         1.000


           Covariance Coverage
              INTER2
              ________
 INTER2         1.000


SAMPLE STATISTICS


     ESTIMATED SAMPLE STATISTICS


           Means
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
      1        63.682        51.603         2.364         0.500       124.993


           Means
              INTER2
              ________
      1        25.471


           Covariances
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
 MATH10       186.139
 MATH7        109.112       103.136
 MOTHED         4.119         2.995         1.035
 MALE          -0.151        -0.317         0.028         0.250
 INTER1       487.090       414.925        62.711         0.924      4497.397
 INTER2        55.800        42.406         3.172        12.742       288.258


           Covariances
              INTER2
              ________
 INTER2       708.020


           Correlations
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
 MATH10         1.000
 MATH7          0.787         1.000
 MOTHED         0.297         0.290         1.000
 MALE          -0.022        -0.063         0.055         1.000
 INTER1         0.532         0.609         0.919         0.028         1.000
 INTER2         0.154         0.157         0.117         0.958         0.162


           Correlations
              INTER2
              ________
 INTER2         1.000


     MAXIMUM LOG-LIKELIHOOD VALUE FOR THE UNRESTRICTED (H1) MODEL IS -31968.059


UNIVARIATE SAMPLE STATISTICS


     UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS

         Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
        Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median

     MATH10               63.682      -0.330      30.490    0.05%      51.520     61.940     65.440
            1969.000     186.139      -0.451      95.170    0.25%      68.600     75.330
     MATH7                51.603       0.046      27.560    0.05%      42.110     48.800     51.910
            1969.000     103.136      -0.616      85.020    0.05%      54.540     60.740
     MOTHED                2.364       1.073       1.000   12.75%       2.000      2.000      2.000
            1969.000       1.035       0.514       5.000    4.98%       2.000      3.000
     MALE                  0.500       0.001       0.000   50.03%       0.000      0.000      0.000
            1969.000       0.250      -2.000       1.000   49.97%       1.000      1.000
     INTER1              124.993       1.304      27.560    0.05%      77.340    100.140    108.040
            1969.000    4497.397       1.349     373.150    0.05%     117.280    168.240
     INTER2               25.471       0.242       0.000   50.03%       0.000      0.000      0.000
            1969.000     708.020      -1.657      85.020    0.05%      40.150     54.160


THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                        7

Loglikelihood

          H0 Value                       -6969.750
          H0 Scaling Correction Factor      1.0694
            for MLR
          H1 Value                       -6969.750
          H1 Scaling Correction Factor      1.0694
            for MLR

Information Criteria

          Akaike (AIC)                   13953.501
          Bayesian (BIC)                 13992.598
          Sample-Size Adjusted BIC       13970.359
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit

          Value                              0.000*
          Degrees of Freedom                     0
          P-Value                           0.0000
          Scaling Correction Factor         1.0000
            for MLR

*   The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
    for chi-square difference testing in the regular way.  MLM, MLR and WLSM
    chi-square difference testing is described on the Mplus website.  MLMV, WLSMV,
    and ULSMV difference testing is done using the DIFFTEST option.

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.000
          90 Percent C.I.                    0.000  0.000
          Probability RMSEA <= .05           0.000

CFI/TLI

          CFI                                1.000
          TLI                                1.000

Chi-Square Test of Model Fit for the Baseline Model

          Value                           1697.723
          Degrees of Freedom                     5
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.000



MODEL RESULTS

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

 MATH10   ON
    MATH7              1.059      0.047     22.373      0.000
    MOTHED             2.270      1.044      2.174      0.030
    MALE              -2.312      2.081     -1.111      0.267
    INTER1            -0.024      0.018     -1.380      0.167
    INTER2             0.057      0.037      1.535      0.125

 Intercepts
    MATH10             6.407      2.663      2.406      0.016

 Residual Variances
    MATH10            69.515      2.643     26.299      0.000


STANDARDIZED MODEL RESULTS


STDYX Standardization

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

 MATH10   ON
    MATH7              0.788      0.034     23.143      0.000
    MOTHED             0.169      0.078      2.173      0.030
    MALE              -0.085      0.076     -1.112      0.266
    INTER1            -0.119      0.086     -1.380      0.168
    INTER2             0.111      0.072      1.538      0.124

 Intercepts
    MATH10             0.470      0.197      2.385      0.017

 Residual Variances
    MATH10             0.373      0.014     26.085      0.000


R-SQUARE

    Observed                                        Two-Tailed
    Variable        Estimate       S.E.  Est./S.E.    P-Value

    MATH10             0.627      0.014     43.758      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.499E-06
       (ratio of smallest to largest eigenvalue)


CONFIDENCE INTERVALS OF MODEL RESULTS

                  Lower .5%  Lower 2.5%    Lower 5%    Estimate    Upper 5%  Upper 2.5%   Upper .5%

 MATH10   ON
    MATH7            0.937       0.966       0.981       1.059       1.137       1.152       1.181
    MOTHED          -0.420       0.223       0.552       2.270       3.988       4.317       4.960
    MALE            -7.672      -6.391      -5.735      -2.312       1.112       1.767       3.049
    INTER1          -0.069      -0.059      -0.053      -0.024       0.005       0.010       0.021
    INTER2          -0.038      -0.016      -0.004       0.057       0.117       0.129       0.152

 Intercepts
    MATH10          -0.452       1.188       2.027       6.407      10.788      11.627      13.267

 Residual Variances
    MATH10          62.707      64.335      65.167      69.515      73.863      74.696      76.324


CONFIDENCE INTERVALS OF STANDARDIZED MODEL RESULTS


STDYX Standardization

                  Lower .5%  Lower 2.5%    Lower 5%    Estimate    Upper 5%  Upper 2.5%   Upper .5%

 MATH10   ON
    MATH7            0.701       0.722       0.732       0.788       0.844       0.855       0.876
    MOTHED          -0.031       0.017       0.041       0.169       0.297       0.322       0.370
    MALE            -0.281      -0.234      -0.210      -0.085       0.041       0.065       0.111
    INTER1          -0.341      -0.288      -0.261      -0.119       0.023       0.050       0.103
    INTER2          -0.075      -0.030      -0.008       0.111       0.229       0.251       0.296

 Intercepts
    MATH10          -0.038       0.084       0.146       0.470       0.794       0.856       0.977

 Residual Variances
    MATH10           0.337       0.345       0.350       0.373       0.397       0.402       0.410


RESIDUAL OUTPUT


     ESTIMATED MODEL AND RESIDUALS (OBSERVED - ESTIMATED)


           Model Estimated Means/Intercepts/Thresholds
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
      1        63.682        51.603         2.364         0.500       124.993


           Model Estimated Means/Intercepts/Thresholds
              INTER2
              ________
      1        25.471


           Residuals for Means/Intercepts/Thresholds
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           Residuals for Means/Intercepts/Thresholds
              INTER2
              ________
      1         0.000


           Standardized Residuals (z-scores) for Means/Intercepts/Thresholds
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
      1        -0.030         0.000         0.000         0.000         0.000


           Standardized Residuals (z-scores) for Means/Intercepts/Thresholds
              INTER2
              ________
      1         0.000


           Normalized Residuals for Means/Intercepts/Thresholds
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           Normalized Residuals for Means/Intercepts/Thresholds
              INTER2
              ________
      1         0.000


           Model Estimated Covariances/Correlations/Residual Correlations
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
 MATH10       186.129
 MATH7        109.109       103.136
 MOTHED         4.119         2.995         1.035
 MALE          -0.151        -0.317         0.028         0.250
 INTER1       487.082       414.925        62.711         0.924      4497.397
 INTER2        55.802        42.406         3.172        12.742       288.258


           Model Estimated Covariances/Correlations/Residual Correlations
              INTER2
              ________
 INTER2       708.020


           Residuals for Covariances/Correlations/Residual Correlations
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
 MATH10         0.011
 MATH7          0.004         0.000
 MOTHED         0.000         0.000         0.000
 MALE           0.000         0.000         0.000         0.000
 INTER1         0.008         0.000         0.000         0.000         0.000
 INTER2        -0.002         0.000         0.000         0.000         0.000


           Residuals for Covariances/Correlations/Residual Correlations
              INTER2
              ________
 INTER2         0.000


           Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
 MATH10       999.000
 MATH7        999.000         0.000
 MOTHED         0.005         0.000         0.000
 MALE           0.075         0.000         0.000         0.000
 INTER1       999.000         0.000         0.000         0.000         0.000
 INTER2       999.000         0.000         0.000         0.000         0.000


           Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr
              INTER2
              ________
 INTER2         0.000


           Normalized Residuals for Covariances/Correlations/Residual Correlations
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
 MATH10         0.002
 MATH7          0.001         0.000
 MOTHED         0.000         0.000         0.000
 MALE           0.000         0.000         0.000         0.000
 INTER1         0.000         0.000         0.000         0.000         0.000
 INTER2         0.000         0.000         0.000         0.000         0.000


           Normalized Residuals for Covariances/Correlations/Residual Correlations
              INTER2
              ________
 INTER2         0.000


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           NU
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
      1           0             0             0             0             0


           NU
              INTER2
              ________
      1           0


           LAMBDA
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
 MATH10             0             0             0             0             0
 MATH7              0             0             0             0             0
 MOTHED             0             0             0             0             0
 MALE               0             0             0             0             0
 INTER1             0             0             0             0             0
 INTER2             0             0             0             0             0


           LAMBDA
              INTER2
              ________
 MATH10             0
 MATH7              0
 MOTHED             0
 MALE               0
 INTER1             0
 INTER2             0


           THETA
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
 MATH10             0
 MATH7              0             0
 MOTHED             0             0             0
 MALE               0             0             0             0
 INTER1             0             0             0             0             0
 INTER2             0             0             0             0             0


           THETA
              INTER2
              ________
 INTER2             0


           ALPHA
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
      1           1             0             0             0             0


           ALPHA
              INTER2
              ________
      1           0


           BETA
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
 MATH10             0             2             3             4             5
 MATH7              0             0             0             0             0
 MOTHED             0             0             0             0             0
 MALE               0             0             0             0             0
 INTER1             0             0             0             0             0
 INTER2             0             0             0             0             0


           BETA
              INTER2
              ________
 MATH10             6
 MATH7              0
 MOTHED             0
 MALE               0
 INTER1             0
 INTER2             0


           PSI
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
 MATH10             7
 MATH7              0             0
 MOTHED             0             0             0
 MALE               0             0             0             0
 INTER1             0             0             0             0             0
 INTER2             0             0             0             0             0


           PSI
              INTER2
              ________
 INTER2             0


     STARTING VALUES


           NU
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           NU
              INTER2
              ________
      1         0.000


           LAMBDA
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
 MATH10         1.000         0.000         0.000         0.000         0.000
 MATH7          0.000         1.000         0.000         0.000         0.000
 MOTHED         0.000         0.000         1.000         0.000         0.000
 MALE           0.000         0.000         0.000         1.000         0.000
 INTER1         0.000         0.000         0.000         0.000         1.000
 INTER2         0.000         0.000         0.000         0.000         0.000


           LAMBDA
              INTER2
              ________
 MATH10         0.000
 MATH7          0.000
 MOTHED         0.000
 MALE           0.000
 INTER1         0.000
 INTER2         1.000


           THETA
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
 MATH10         0.000
 MATH7          0.000         0.000
 MOTHED         0.000         0.000         0.000
 MALE           0.000         0.000         0.000         0.000
 INTER1         0.000         0.000         0.000         0.000         0.000
 INTER2         0.000         0.000         0.000         0.000         0.000


           THETA
              INTER2
              ________
 INTER2         0.000


           ALPHA
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
      1        63.682        51.603         2.364         0.500       124.993


           ALPHA
              INTER2
              ________
      1        25.471


           BETA
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
 MATH10         0.000         0.000         0.000         0.000         0.000
 MATH7          0.000         0.000         0.000         0.000         0.000
 MOTHED         0.000         0.000         0.000         0.000         0.000
 MALE           0.000         0.000         0.000         0.000         0.000
 INTER1         0.000         0.000         0.000         0.000         0.000
 INTER2         0.000         0.000         0.000         0.000         0.000


           BETA
              INTER2
              ________
 MATH10         0.000
 MATH7          0.000
 MOTHED         0.000
 MALE           0.000
 INTER1         0.000
 INTER2         0.000


           PSI
              MATH10        MATH7         MOTHED        MALE          INTER1
              ________      ________      ________      ________      ________
 MATH10        93.070
 MATH7          0.000       103.136
 MOTHED         0.000         2.995         1.035
 MALE           0.000        -0.317         0.028         0.250
 INTER1         0.000       414.925        62.711         0.924      4497.397
 INTER2         0.000        42.406         3.172        12.742       288.258


           PSI
              INTER2
              ________
 INTER2       708.020


PLOT INFORMATION

The following plots are available:

  Histograms (sample values, estimated values, residuals)
  Scatterplots (sample values, estimated values, residuals)

DIAGRAM INFORMATION

  Use View Diagram under the Diagram menu in the Mplus Editor to view the diagram.
  If running Mplus from the Mplus Diagrammer, the diagram opens automatically.

  Diagram output
    c:\users\bengt 2013\documents\bengt\mplus runs\a book - topic 1 mplus runs\regression\random coe

     Beginning Time:  06:20:02
        Ending Time:  06:20:02
       Elapsed Time:  00:00:00



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