Mplus VERSION 7.4
MUTHEN & MUTHEN
06/04/2016   6:10 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;

  Define:
      male = gender - 1;

  Analysis:
      type = random;
     algorithm=integration;
      estimator = mlr;

  MODEL:
      s | math10 ON math7;
      s with math10;
      s on mothed male;
      math10 on mothed male;

  OUTPUT:
      TECH1 tech8 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                                  3
Number of continuous latent variables                            1

Observed dependent variables

  Continuous
   MATH10

Observed independent variables
   MATH7       MOTHED      MALE

Continuous latent variables
   S

Variables with special functions

  ID variable           ID

Estimator                                                      MLR
Information matrix                                        OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
  Maximum number of iterations                                 100
  Convergence criterion                                  0.100D-05
Optimization Specifications for the EM Algorithm
  Maximum number of iterations                                 500
  Convergence criteria
    Loglikelihood change                                 0.100D-02
    Relative loglikelihood change                        0.100D-05
    Derivative                                           0.100D-02
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-02
  Basis for M step termination                           ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-02
  Basis for M step termination                           ITERATION
  Maximum value for logit thresholds                            15
  Minimum value for logit thresholds                           -15
  Minimum expected cell size for chi-square              0.100D-01
Maximum number of iterations for H1                           2000
Convergence criterion for H1                             0.100D-03
Optimization algorithm                                         EMA
Integration Specifications
  Type                                                    STANDARD
  Number of integration points                                  15
  Dimensions of numerical integration                            1
  Adaptive quadrature                                           ON
Cholesky                                                       OFF

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 FOR Y


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


SAMPLE STATISTICS


     ESTIMATED SAMPLE STATISTICS


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


           Covariances
              MATH10        MATH7         MOTHED        MALE
              ________      ________      ________      ________
 MATH10       186.139
 MATH7        109.112       103.136
 MOTHED         4.119         2.995         1.035
 MALE          -0.151        -0.317         0.028         0.250


           Correlations
              MATH10        MATH7         MOTHED        MALE
              ________      ________      ________      ________
 MATH10         1.000
 MATH7          0.787         1.000
 MOTHED         0.297         0.290         1.000
 MALE          -0.022        -0.063         0.055         1.000


     MAXIMUM LOG-LIKELIHOOD VALUE FOR THE UNRESTRICTED (H1) MODEL IS -18490.720


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


THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                        9

Loglikelihood

          H0 Value                       -6877.433
          H0 Scaling Correction Factor      1.1218
            for MLR

Information Criteria

          Akaike (AIC)                   13772.866
          Bayesian (BIC)                 13823.134
          Sample-Size Adjusted BIC       13794.540
            (n* = (n + 2) / 24)



MODEL RESULTS

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

 S          ON
    MOTHED            -0.036      0.016     -2.211      0.027
    MALE               0.056      0.034      1.626      0.104

 MATH10     ON
    MOTHED             2.953      0.974      3.032      0.002
    MALE              -2.252      1.953     -1.153      0.249

 S        WITH
    MATH10            -4.525      0.828     -5.467      0.000

 Intercepts
    MATH10             5.241      2.555      2.051      0.040
    S                  1.079      0.045     24.074      0.000

 Residual Variances
    MATH10           378.655     48.611      7.790      0.000
    S                  0.057      0.014      4.127      0.000


STANDARDIZED MODEL RESULTS


STDYX Standardization

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

 S          ON
    MOTHED            -0.149      0.067     -2.210      0.027
    MALE               0.114      0.072      1.578      0.115

 MATH10     ON
    MOTHED             0.220      0.072      3.057      0.002
    MALE              -0.083      0.072     -1.153      0.249

 S        WITH
    MATH10            -0.971      0.007   -148.965      0.000

 Intercepts
    MATH10             0.384      0.190      2.024      0.043
    S                  4.426      0.531      8.340      0.000

 Residual Variances
    MATH10             2.034      0.257      7.903      0.000
    S                  0.967      0.026     37.268      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.328E-07
       (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%

 S        ON
    MOTHED          -0.077      -0.067      -0.062      -0.036      -0.009      -0.004       0.006
    MALE            -0.032      -0.011      -0.001       0.056       0.112       0.123       0.144

 MATH10   ON
    MOTHED           0.444       1.044       1.351       2.953       4.555       4.862       5.462
    MALE            -7.282      -6.079      -5.464      -2.252       0.960       1.575       2.778

 S        WITH
    MATH10          -6.657      -6.148      -5.887      -4.525      -3.164      -2.903      -2.393

 Intercepts
    MATH10          -1.341       0.233       1.037       5.241       9.445      10.250      11.823
    S                0.963       0.991       1.005       1.079       1.152       1.167       1.194

 Residual Variances
    MATH10         253.443     283.377     298.690     378.655     458.619     473.932     503.866
    S                0.022       0.030       0.035       0.057       0.080       0.085       0.093


CONFIDENCE INTERVALS OF STANDARDIZED MODEL RESULTS


STDYX Standardization

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

 S        ON
    MOTHED          -0.323      -0.281      -0.260      -0.149      -0.038      -0.017       0.025
    MALE            -0.072      -0.028      -0.005       0.114       0.233       0.256       0.300

 MATH10   ON
    MOTHED           0.035       0.079       0.102       0.220       0.339       0.361       0.406
    MALE            -0.267      -0.223      -0.200      -0.083       0.035       0.058       0.102

 S        WITH
    MATH10          -0.987      -0.983      -0.981      -0.971      -0.960      -0.958      -0.954

 Intercepts
    MATH10          -0.105       0.012       0.072       0.384       0.696       0.756       0.873
    S                3.059       3.386       3.553       4.426       5.299       5.466       5.793

 Residual Variances
    MATH10           1.371       1.529       1.610       2.034       2.457       2.538       2.697
    S                0.900       0.916       0.924       0.967       1.009       1.017       1.033


RESIDUAL OUTPUT


     ESTIMATED MODEL AND RESIDUALS (OBSERVED - ESTIMATED)


           Model Estimated Means
              MATH10
              ________
 1             63.712


           Residuals for Means
              MATH10
              ________
 1             -0.030


           Model Estimated Covariances
              MATH10
              ________
 MATH10       186.180


           Residuals for Covariances
              MATH10
              ________
 MATH10        -0.041


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


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


           LAMBDA
              S             MATH10        MATH7         MOTHED        MALE
              ________      ________      ________      ________      ________
 MATH10             0             0             0             0             0
 MATH7              0             0             0             0             0
 MOTHED             0             0             0             0             0
 MALE               0             0             0             0             0


           THETA
              MATH10        MATH7         MOTHED        MALE
              ________      ________      ________      ________
 MATH10             0
 MATH7              0             0
 MOTHED             0             0             0
 MALE               0             0             0             0


           ALPHA
              S             MATH10        MATH7         MOTHED        MALE
              ________      ________      ________      ________      ________
 1                  1             2             0             0             0


           BETA
              S             MATH10        MATH7         MOTHED        MALE
              ________      ________      ________      ________      ________
 S                  0             0             0             3             4
 MATH10             0             0             0             5             6
 MATH7              0             0             0             0             0
 MOTHED             0             0             0             0             0
 MALE               0             0             0             0             0


           PSI
              S             MATH10        MATH7         MOTHED        MALE
              ________      ________      ________      ________      ________
 S                  7
 MATH10             8             9
 MATH7              0             0             0
 MOTHED             0             0             0             0
 MALE               0             0             0             0             0


     STARTING VALUES


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


           LAMBDA
              S             MATH10        MATH7         MOTHED        MALE
              ________      ________      ________      ________      ________
 MATH10         0.000         1.000         0.000         0.000         0.000
 MATH7          0.000         0.000         1.000         0.000         0.000
 MOTHED         0.000         0.000         0.000         1.000         0.000
 MALE           0.000         0.000         0.000         0.000         1.000


           THETA
              MATH10        MATH7         MOTHED        MALE
              ________      ________      ________      ________
 MATH10         0.000
 MATH7          0.000         0.000
 MOTHED         0.000         0.000         0.000
 MALE           0.000         0.000         0.000         0.000


           ALPHA
              S             MATH10        MATH7         MOTHED        MALE
              ________      ________      ________      ________      ________
 1              0.000        63.682         0.000         0.000         0.000


           BETA
              S             MATH10        MATH7         MOTHED        MALE
              ________      ________      ________      ________      ________
 S              0.000         0.000         0.000         0.000         0.000
 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


           PSI
              S             MATH10        MATH7         MOTHED        MALE
              ________      ________      ________      ________      ________
 S              1.000
 MATH10         0.000        93.070
 MATH7          0.000         0.000        51.568
 MOTHED         0.000         0.000         0.000         0.517
 MALE           0.000         0.000         0.000         0.000         0.125


TECHNICAL 8 OUTPUT


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.97630945D+04    0.0000000    0.0000000  EM
              2 -0.80399307D+04 1723.1638389    0.1764977  EM
              3 -0.79969104D+04   43.0202868    0.0053508  EM
              4 -0.79626912D+04   34.2191739    0.0042790  EM
              5 -0.79291741D+04   33.5171868    0.0042093  EM
              6 -0.78962972D+04   32.8768138    0.0041463  EM
              7 -0.78640127D+04   32.2845425    0.0040886  EM
              8 -0.78322784D+04   31.7342529    0.0040354  EM
              9 -0.78010582D+04   31.2202965    0.0039861  EM
             10 -0.77703208D+04   30.7373347    0.0039401  EM
             11 -0.77400405D+04   30.2803411    0.0038969  EM
             12 -0.77101962D+04   29.8443239    0.0038558  EM
             13 -0.76807714D+04   29.4247668    0.0038163  EM
             14 -0.76517543D+04   29.0170688    0.0037779  EM
             15 -0.76231374D+04   28.6169116    0.0037399  EM
             16 -0.75949174D+04   28.2200323    0.0037019  EM
             17 -0.75670949D+04   27.8224283    0.0036633  EM
             18 -0.75396748D+04   27.4201720    0.0036236  EM
             19 -0.75126651D+04   27.0096463    0.0035823  EM
             20 -0.74860777D+04   26.5874020    0.0035390  EM
             21 -0.74599274D+04   26.1503306    0.0034932  EM
             22 -0.74342318D+04   25.6956020    0.0034445  EM
             23 -0.74090110D+04   25.2207981    0.0033925  EM
             24 -0.73842871D+04   24.7238766    0.0033370  EM
             25 -0.73600838D+04   24.2032939    0.0032777  EM
             26 -0.73364259D+04   23.6579298    0.0032144  EM
             27 -0.73133387D+04   23.0872281    0.0031469  EM
             28 -0.72908475D+04   22.4911433    0.0030754  EM
             29 -0.72689773D+04   21.8701864    0.0029997  EM
             30 -0.72477519D+04   21.2253901    0.0029200  EM
             31 -0.72271937D+04   20.5582810    0.0028365  EM
             32 -0.72073227D+04   19.8709492    0.0027495  EM
             33 -0.71881569D+04   19.1657934    0.0026592  EM
             34 -0.71697113D+04   18.4456537    0.0025661  EM
             35 -0.71519975D+04   17.7137318    0.0024706  EM
             36 -0.71350242D+04   16.9733657    0.0023732  EM
             37 -0.71187961D+04   16.2280886    0.0022744  EM
             38 -0.71033146D+04   15.4815226    0.0021747  EM
             39 -0.70885773D+04   14.7372984    0.0020747  EM
             40 -0.70745784D+04   13.9989093    0.0019749  EM
             41 -0.70613086D+04   13.2697385    0.0018757  EM
             42 -0.70487556D+04   12.5529656    0.0017777  EM
             43 -0.70369042D+04   11.8514948    0.0016814  EM
             44 -0.70257362D+04   11.1679152    0.0015870  EM
             45 -0.70152317D+04   10.5045408    0.0014952  EM
             46 -0.70053684D+04    9.8633096    0.0014060  EM
             47 -0.69961226D+04    9.2458247    0.0013198  EM
             48 -0.69874692D+04    8.6533340    0.0012369  EM
             49 -0.69793825D+04    8.0867642    0.0011573  EM
             50 -0.69718357D+04    7.5467260    0.0010813  EM
             51 -0.69648022D+04    7.0335367    0.0010089  EM
             52 -0.69582549D+04    6.5472523    0.0009400  EM
             53 -0.69521673D+04    6.0876911    0.0008749  EM
             54 -0.69465128D+04    5.6544670    0.0008133  EM
             55 -0.69412658D+04    5.2470149    0.0007553  EM
             56 -0.69412246D+04    0.0412170    0.0000059  QN
             57 -0.69363685D+04    4.8560889    0.0006996  EM
             58 -0.69318695D+04    4.4989796    0.0006486  EM
             59 -0.69277044D+04    4.1651153    0.0006009  EM
             60 -0.69238509D+04    3.8534947    0.0005562  EM
             61 -0.69202878D+04    3.5630876    0.0005146  EM
             62 -0.69169950D+04    3.2928344    0.0004758  EM
             63 -0.69139533D+04    3.0416639    0.0004397  EM
             64 -0.69111448D+04    2.8085042    0.0004062  EM
             65 -0.69085525D+04    2.5922975    0.0003751  EM
             66 -0.69061605D+04    2.3920042    0.0003462  EM
             67 -0.69039539D+04    2.2066157    0.0003195  EM
             68 -0.69019187D+04    2.0351578    0.0002948  EM
             69 -0.69000420D+04    1.8766940    0.0002719  EM
             70 -0.68983117D+04    1.7303335    0.0002508  EM
             71 -0.68967165D+04    1.5952232    0.0002312  EM
             72 -0.68952459D+04    1.4705598    0.0002132  EM
             73 -0.68938903D+04    1.3555839    0.0001966  EM
             74 -0.68926407D+04    1.2495815    0.0001813  EM
             75 -0.68914889D+04    1.1518819    0.0001671  EM
             76 -0.68904270D+04    1.0618589    0.0001541  EM
             77 -0.68894481D+04    0.9789269    0.0001421  EM
             78 -0.68885455D+04    0.9025408    0.0001310  EM
             79 -0.68877133D+04    0.8321935    0.0001208  EM
             80 -0.68869459D+04    0.7674133    0.0001114  EM
             81 -0.68862382D+04    0.7077647    0.0001028  EM
             82 -0.68855853D+04    0.6528428    0.0000948  EM
             83 -0.68849830D+04    0.6022736    0.0000875  EM
             84 -0.68844273D+04    0.5557115    0.0000807  EM
             85 -0.68839145D+04    0.5128374    0.0000745  EM
             86 -0.68834411D+04    0.4733570    0.0000688  EM
             87 -0.68776958D+04    5.7453100    0.0008347  FS
             88 -0.68774476D+04    0.2482641    0.0000361  FS
             89 -0.68774344D+04    0.0132028    0.0000019  FS
             90 -0.68774332D+04    0.0011400    0.0000002  FS
             91 -0.68774331D+04    0.0001585    0.0000000  FS


SAMPLE STATISTICS FOR ESTIMATED FACTOR SCORES


     SAMPLE STATISTICS


           Means
              S             S_SE
              ________      ________
 1              1.022         0.145


           Covariances
              S             S_SE
              ________      ________
 S              0.037
 S_SE          -0.001         0.001


           Correlations
              S             S_SE
              ________      ________
 S              1.000
 S_SE          -0.078         1.000


PLOT INFORMATION

The following plots are available:

  Histograms (sample values, estimated factor scores)
  Scatterplots (sample values, estimated factor scores)
  Latent variable distribution plots

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:  06:10:40
        Ending Time:  06:10:44
       Elapsed Time:  00:00:04



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