Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:05 PM
INPUT INSTRUCTIONS
TITLE: this is an example of modeling with data
not missing at random (NMAR) using a
pattern-mixture model
DATA: FILE = ex11.4.dat;
VARIABLE: NAMES = z1-z5 y0 y1-y5;
USEVARIABLES = y0-y5 d1-d5;
MISSING = ALL (999);
DATA MISSING:
NAMES = y0-y5;
TYPE = DDROPOUT;
BINARY = d1-d5;
MODEL: i s | y0@0 y1@1 y2@2 y3@3 y4@4 y5@5;
i ON d1-d5;
s ON d3-d5;
s ON d1 (1);
s ON d2 (1);
OUTPUT: TECH1;
INPUT READING TERMINATED NORMALLY
this is an example of modeling with data
not missing at random (NMAR) using a
pattern-mixture model
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 1000
Number of dependent variables 6
Number of independent variables 5
Number of continuous latent variables 2
Observed dependent variables
Continuous
Y0 Y1 Y2 Y3 Y4 Y5
Observed independent variables
D1 D2 D3 D4 D5
Continuous latent variables
I S
Estimator ML
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)
ex11.4.dat
Input data format FREE
SUMMARY OF DATA
Number of missing data patterns 32
COVARIANCE COVERAGE OF DATA
Minimum covariance coverage value 0.100
PROPORTION OF DATA PRESENT
Covariance Coverage
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
Y0 1.000
Y1 0.736 0.736
Y2 0.693 0.535 0.693
Y3 0.615 0.491 0.469 0.615
Y4 0.724 0.562 0.555 0.516 0.724
Y5 0.687 0.541 0.530 0.501 0.573
D1 1.000 0.736 0.693 0.615 0.724
D2 1.000 0.736 0.693 0.615 0.724
D3 1.000 0.736 0.693 0.615 0.724
D4 1.000 0.736 0.693 0.615 0.724
D5 1.000 0.736 0.693 0.615 0.724
Covariance Coverage
Y5 D1 D2 D3 D4
________ ________ ________ ________ ________
Y5 0.687
D1 0.687 1.000
D2 0.687 1.000 1.000
D3 0.687 1.000 1.000 1.000
D4 0.687 1.000 1.000 1.000 1.000
D5 0.687 1.000 1.000 1.000 1.000
Covariance Coverage
D5
________
D5 1.000
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
Y0 2.038 0.067 -0.371 0.10% 1.306 1.816 2.017
1000.000 0.692 -0.158 4.779 0.10% 2.256 2.736
Y1 0.900 -0.067 -1.759 0.14% 0.238 0.717 0.914
736.000 0.648 0.094 3.132 0.14% 1.083 1.553
Y2 -0.224 -0.076 -3.059 0.14% -1.061 -0.443 -0.234
693.000 0.969 0.081 2.838 0.14% 0.006 0.617
Y3 -1.437 -0.149 -4.833 0.16% -2.293 -1.670 -1.428
615.000 1.168 -0.008 1.487 0.16% -1.133 -0.508
Y4 -2.476 -0.154 -6.979 0.14% -3.566 -2.734 -2.424
724.000 1.969 0.430 3.148 0.14% -2.142 -1.315
Y5 -3.685 -0.222 -9.753 0.15% -4.903 -4.009 -3.650
687.000 2.383 0.737 0.907 0.15% -3.285 -2.465
D1 0.033 5.228 0.000 96.70% 0.000 0.000 0.000
1000.000 0.032 25.337 1.000 3.30% 0.000 0.000
D2 0.035 5.060 0.000 96.50% 0.000 0.000 0.000
1000.000 0.034 23.608 1.000 3.50% 0.000 0.000
D3 0.054 3.947 0.000 94.60% 0.000 0.000 0.000
1000.000 0.051 13.576 1.000 5.40% 0.000 0.000
D4 0.040 4.695 0.000 96.00% 0.000 0.000 0.000
1000.000 0.038 20.042 1.000 4.00% 0.000 0.000
D5 0.151 1.949 0.000 84.90% 0.000 0.000 0.000
1000.000 0.128 1.800 1.000 15.10% 0.000 0.000
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 20
Loglikelihood
H0 Value -5454.840
H1 Value -5439.295
Information Criteria
Akaike (AIC) 10949.679
Bayesian (BIC) 11047.835
Sample-Size Adjusted BIC 10984.313
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 31.090
Degrees of Freedom 37
P-Value 0.7418
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.000
90 Percent C.I. 0.000 0.017
Probability RMSEA <= .05 1.000
CFI/TLI
CFI 1.000
TLI 1.000
Chi-Square Test of Model Fit for the Baseline Model
Value 2249.197
Degrees of Freedom 45
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.164
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
I |
Y0 1.000 0.000 999.000 999.000
Y1 1.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 1.000 0.000 999.000 999.000
Y4 1.000 0.000 999.000 999.000
Y5 1.000 0.000 999.000 999.000
S |
Y0 0.000 0.000 999.000 999.000
Y1 1.000 0.000 999.000 999.000
Y2 2.000 0.000 999.000 999.000
Y3 3.000 0.000 999.000 999.000
Y4 4.000 0.000 999.000 999.000
Y5 5.000 0.000 999.000 999.000
I ON
D1 0.543 0.145 3.754 0.000
D2 0.309 0.140 2.213 0.027
D3 0.509 0.109 4.650 0.000
D4 0.123 0.119 1.033 0.302
D5 0.211 0.063 3.335 0.001
S ON
D3 0.375 0.072 5.220 0.000
D4 0.328 0.062 5.295 0.000
D5 0.234 0.031 7.555 0.000
D1 0.421 0.156 2.695 0.007
D2 0.421 0.156 2.695 0.007
S WITH
I -0.017 0.008 -1.970 0.049
Intercepts
Y0 0.000 0.000 999.000 999.000
Y1 0.000 0.000 999.000 999.000
Y2 0.000 0.000 999.000 999.000
Y3 0.000 0.000 999.000 999.000
Y4 0.000 0.000 999.000 999.000
Y5 0.000 0.000 999.000 999.000
I 1.903 0.026 74.416 0.000
S -1.123 0.012 -92.386 0.000
Residual Variances
Y0 0.465 0.030 15.513 0.000
Y1 0.350 0.023 15.257 0.000
Y2 0.328 0.022 15.084 0.000
Y3 0.255 0.021 12.290 0.000
Y4 0.447 0.034 13.101 0.000
Y5 0.424 0.044 9.700 0.000
I 0.207 0.023 8.935 0.000
S 0.075 0.005 14.610 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.397E-03
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
0 0 0 0 0
NU
Y5 D1 D2 D3 D4
________ ________ ________ ________ ________
0 0 0 0 0
NU
D5
________
0
LAMBDA
I S D1 D2 D3
________ ________ ________ ________ ________
Y0 0 0 0 0 0
Y1 0 0 0 0 0
Y2 0 0 0 0 0
Y3 0 0 0 0 0
Y4 0 0 0 0 0
Y5 0 0 0 0 0
D1 0 0 0 0 0
D2 0 0 0 0 0
D3 0 0 0 0 0
D4 0 0 0 0 0
D5 0 0 0 0 0
LAMBDA
D4 D5
________ ________
Y0 0 0
Y1 0 0
Y2 0 0
Y3 0 0
Y4 0 0
Y5 0 0
D1 0 0
D2 0 0
D3 0 0
D4 0 0
D5 0 0
THETA
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
Y0 1
Y1 0 2
Y2 0 0 3
Y3 0 0 0 4
Y4 0 0 0 0 5
Y5 0 0 0 0 0
D1 0 0 0 0 0
D2 0 0 0 0 0
D3 0 0 0 0 0
D4 0 0 0 0 0
D5 0 0 0 0 0
THETA
Y5 D1 D2 D3 D4
________ ________ ________ ________ ________
Y5 6
D1 0 0
D2 0 0 0
D3 0 0 0 0
D4 0 0 0 0 0
D5 0 0 0 0 0
THETA
D5
________
D5 0
ALPHA
I S D1 D2 D3
________ ________ ________ ________ ________
7 8 0 0 0
ALPHA
D4 D5
________ ________
0 0
BETA
I S D1 D2 D3
________ ________ ________ ________ ________
I 0 0 9 10 11
S 0 0 14 14 15
D1 0 0 0 0 0
D2 0 0 0 0 0
D3 0 0 0 0 0
D4 0 0 0 0 0
D5 0 0 0 0 0
BETA
D4 D5
________ ________
I 12 13
S 16 17
D1 0 0
D2 0 0
D3 0 0
D4 0 0
D5 0 0
PSI
I S D1 D2 D3
________ ________ ________ ________ ________
I 18
S 19 20
D1 0 0 0
D2 0 0 0 0
D3 0 0 0 0 0
D4 0 0 0 0 0
D5 0 0 0 0 0
PSI
D4 D5
________ ________
D4 0
D5 0 0
STARTING VALUES
NU
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
Y5 D1 D2 D3 D4
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
D5
________
0.000
LAMBDA
I S D1 D2 D3
________ ________ ________ ________ ________
Y0 1.000 0.000 0.000 0.000 0.000
Y1 1.000 1.000 0.000 0.000 0.000
Y2 1.000 2.000 0.000 0.000 0.000
Y3 1.000 3.000 0.000 0.000 0.000
Y4 1.000 4.000 0.000 0.000 0.000
Y5 1.000 5.000 0.000 0.000 0.000
D1 0.000 0.000 1.000 0.000 0.000
D2 0.000 0.000 0.000 1.000 0.000
D3 0.000 0.000 0.000 0.000 1.000
D4 0.000 0.000 0.000 0.000 0.000
D5 0.000 0.000 0.000 0.000 0.000
LAMBDA
D4 D5
________ ________
Y0 0.000 0.000
Y1 0.000 0.000
Y2 0.000 0.000
Y3 0.000 0.000
Y4 0.000 0.000
Y5 0.000 0.000
D1 0.000 0.000
D2 0.000 0.000
D3 0.000 0.000
D4 1.000 0.000
D5 0.000 1.000
THETA
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
Y0 0.346
Y1 0.000 0.324
Y2 0.000 0.000 0.484
Y3 0.000 0.000 0.000 0.584
Y4 0.000 0.000 0.000 0.000 0.985
Y5 0.000 0.000 0.000 0.000 0.000
D1 0.000 0.000 0.000 0.000 0.000
D2 0.000 0.000 0.000 0.000 0.000
D3 0.000 0.000 0.000 0.000 0.000
D4 0.000 0.000 0.000 0.000 0.000
D5 0.000 0.000 0.000 0.000 0.000
THETA
Y5 D1 D2 D3 D4
________ ________ ________ ________ ________
Y5 1.191
D1 0.000 0.000
D2 0.000 0.000 0.000
D3 0.000 0.000 0.000 0.000
D4 0.000 0.000 0.000 0.000 0.000
D5 0.000 0.000 0.000 0.000 0.000
THETA
D5
________
D5 0.000
ALPHA
I S D1 D2 D3
________ ________ ________ ________ ________
2.084 -0.942 0.033 0.035 0.054
ALPHA
D4 D5
________ ________
0.040 0.151
BETA
I S D1 D2 D3
________ ________ ________ ________ ________
I 0.000 0.000 0.000 0.000 0.000
S 0.000 0.000 0.000 0.000 0.000
D1 0.000 0.000 0.000 0.000 0.000
D2 0.000 0.000 0.000 0.000 0.000
D3 0.000 0.000 0.000 0.000 0.000
D4 0.000 0.000 0.000 0.000 0.000
D5 0.000 0.000 0.000 0.000 0.000
BETA
D4 D5
________ ________
I 0.000 0.000
S 0.000 0.000
D1 0.000 0.000
D2 0.000 0.000
D3 0.000 0.000
D4 0.000 0.000
D5 0.000 0.000
PSI
I S D1 D2 D3
________ ________ ________ ________ ________
I 0.530
S 0.000 0.232
D1 0.000 0.000 0.032
D2 0.000 0.000 -0.001 0.034
D3 0.000 0.000 -0.002 -0.002 0.051
D4 0.000 0.000 -0.001 -0.001 -0.002
D5 0.000 0.000 -0.005 -0.005 -0.008
PSI
D4 D5
________ ________
D4 0.038
D5 -0.006 0.128
Beginning Time: 23:05:15
Ending Time: 23:05:15
Elapsed Time: 00:00:00
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