Mplus VERSION 8
MUTHEN & MUTHEN
04/10/2017   4:39 AM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a path analysis
  	with continuous dependent variables,
  	bootstrapped standard errors, indirect
  	effects, and non-symmetric bootstrap confidence intervals
  DATA:	FILE IS ex3.11.dat;
  VARIABLE:	NAMES ARE y1-y3 x1-x3;
  ANALYSIS:	BOOTSTRAP = 1000;
  MODEL:	y1 y2 ON x1 x2 x3;
  	y3 ON y1 y2 x2;
  MODEL INDIRECT:
  	y3 IND y1 x1;
  	y3 IND y2 x1;
  OUTPUT:	CINTERVAL (BOOTSTRAP);



INPUT READING TERMINATED NORMALLY



this is an example of a path analysis
with continuous dependent variables,
bootstrapped standard errors, indirect
effects, and non-symmetric bootstrap confidence intervals

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of dependent variables                                    3
Number of independent variables                                  3
Number of continuous latent variables                            0

Observed dependent variables

  Continuous
   Y1          Y2          Y3

Observed independent variables
   X1          X2          X3


Estimator                                                       ML
Information matrix                                        OBSERVED
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20
Number of bootstrap draws
    Requested                                                 1000
    Completed                                                 1000

Input data file(s)
  ex3.11.dat

Input data format  FREE



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

     Y1                   -1.108       0.018     -13.766    0.20%      -4.787     -2.157     -1.159
             500.000      17.433      -0.193       9.631    0.20%      -0.237      2.613
     Y2                    0.027       0.121     -11.928    0.20%      -3.564     -0.944     -0.067
             500.000      17.103       0.033      14.188    0.20%       1.021      3.350
     Y3                    0.499      -0.009     -15.069    0.20%      -4.398     -1.203      0.419
             500.000      31.757      -0.383      16.217    0.20%       1.996      5.386
     X1                    0.046       0.006      -3.268    0.20%      -0.875     -0.207      0.030
             500.000       1.143       0.311       3.468    0.20%       0.358      0.873
     X2                   -0.027      -0.152      -2.818    0.20%      -0.986     -0.221      0.093
             500.000       1.066      -0.277       2.993    0.20%       0.341      0.820
     X3                   -0.012       0.034      -3.229    0.20%      -0.798     -0.270     -0.038
             500.000       1.074       0.285       3.252    0.20%       0.219      0.851


THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       15

Loglikelihood

          H0 Value                       -2364.002
          H1 Value                       -2363.623

Information Criteria

          Akaike (AIC)                    4758.004
          Bayesian (BIC)                  4821.223
          Sample-Size Adjusted BIC        4773.612
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit

          Value                              0.757
          Degrees of Freedom                     3
          P-Value                           0.8598

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.000
          90 Percent C.I.                    0.000  0.040
          Probability RMSEA <= .05           0.972

CFI/TLI

          CFI                                1.000
          TLI                                1.002

Chi-Square Test of Model Fit for the Baseline Model

          Value                           4107.449
          Degrees of Freedom                    12
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.001



MODEL RESULTS

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

 Y1       ON
    X1                 0.992      0.044     22.604      0.000
    X2                 2.001      0.044     45.674      0.000
    X3                 3.052      0.039     77.579      0.000

 Y2       ON
    X1                 2.935      0.049     59.386      0.000
    X2                 1.992      0.051     38.834      0.000
    X3                 1.023      0.049     20.699      0.000

 Y3       ON
    Y1                 0.507      0.020     25.724      0.000
    Y2                 0.746      0.019     39.779      0.000
    X2                 1.046      0.076     13.737      0.000

 Intercepts
    Y1                -1.064      0.046    -23.272      0.000
    Y2                -0.042      0.052     -0.798      0.425
    Y3                 1.068      0.063     16.995      0.000

 Residual Variances
    Y1                 1.061      0.068     15.537      0.000
    Y2                 1.408      0.082     17.258      0.000
    Y3                 1.717      0.114     15.039      0.000


TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS


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

Effects from X1 to Y3

  Sum of indirect      2.691      0.063     42.390      0.000

  Specific indirect

    Y3
    Y1
    X1                 0.503      0.030     17.000      0.000

    Y3
    Y2
    X1                 2.188      0.065     33.852      0.000



CONFIDENCE INTERVALS OF MODEL RESULTS

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

 Y1       ON
    X1               0.892       0.907       0.915       0.992       1.063       1.075       1.102
    X2               1.892       1.918       1.932       2.001       2.077       2.091       2.122
    X3               2.949       2.976       2.990       3.052       3.118       3.133       3.160

 Y2       ON
    X1               2.798       2.834       2.851       2.935       3.013       3.029       3.053
    X2               1.836       1.889       1.908       1.992       2.070       2.095       2.126
    X3               0.889       0.926       0.943       1.023       1.105       1.123       1.156

 Y3       ON
    Y1               0.455       0.468       0.473       0.507       0.539       0.544       0.554
    Y2               0.696       0.708       0.713       0.746       0.773       0.780       0.794
    X2               0.862       0.906       0.923       1.046       1.172       1.204       1.245

 Intercepts
    Y1              -1.179      -1.150      -1.137      -1.064      -0.988      -0.969      -0.933
    Y2              -0.170      -0.139      -0.124      -0.042       0.043       0.060       0.097
    Y3               0.892       0.956       0.971       1.068       1.174       1.201       1.237

 Residual Variances
    Y1               0.884       0.924       0.943       1.061       1.168       1.186       1.239
    Y2               1.188       1.237       1.262       1.408       1.531       1.555       1.595
    Y3               1.421       1.478       1.511       1.717       1.892       1.940       1.983


CONFIDENCE INTERVALS OF TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS


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

Effects from X1 to Y3

  Sum of indirect    2.524       2.567       2.587       2.691       2.795       2.813       2.838

  Specific indirect

    Y3
    Y1
    X1               0.430       0.445       0.452       0.503       0.550       0.558       0.579

    Y3
    Y2
    X1               2.024       2.054       2.075       2.188       2.287       2.310       2.360



     Beginning Time:  04:39:37
        Ending Time:  04:39:38
       Elapsed Time:  00:00:01



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