Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:04 PM
INPUT INSTRUCTIONS
TITLE: this is an example of descriptive
statistics and graphics related to dropout
in a longitudinal study
DATA: FILE = ex11.2.dat;
VARIABLE: NAMES = z1-z5 y0 y1-y5;
USEVARIABLES = z1-z5 y0-y5 d1-d5;
MISSING = ALL (999);
DATA MISSING:
NAMES = y0-y5;
TYPE = DDROPOUT;
BINARY = d1-d5;
DESCRIPTIVE = y0-y5 | * z1-z5;
ANALYSIS: TYPE = BASIC;
PLOT: TYPE = PLOT2;
SERIES = y0-y5(*);
INPUT READING TERMINATED NORMALLY
this is an example of descriptive
statistics and graphics related to dropout
in a longitudinal study
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 1000
Number of dependent variables 16
Number of independent variables 0
Number of continuous latent variables 0
Observed dependent variables
Continuous
Z1 Z2 Z3 Z4 Z5 Y0
Y1 Y2 Y3 Y4 Y5 D1
D2 D3 D4 D5
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)
ex11.2.dat
Input data format FREE
SUMMARY OF DATA
Number of missing data patterns 32
SUMMARY OF MISSING DATA PATTERNS
MISSING DATA PATTERNS (x = not missing)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Z1 x x x x x x x x x x x x x x x x x x x x
Z2 x x x x x x x x x x x x x x x x x x x x
Z3 x x x x x x x x x x x x x x x x x x x x
Z4 x x x x x x x x x x x x x x x x x x x x
Z5 x x x x x x x x x x x x x x x x x x x x
Y0 x x x x x x x x x x x x x x x x x x x x
Y1 x x x x x x x x x x x x x x x x
Y2 x x x x x x x x x x x x
Y3 x x x x x x x x x x x x
Y4 x x x x x x x x x x
Y5 x x x x x x x x x x
D1 x x x x x x x x x x x x x x x x x x x x
D2 x x x x x x x x x x x x x x x x x x x x
D3 x x x x x x x x x x x x x x x x x x x x
D4 x x x x x x x x x x x x x x x x x x x x
D5 x x x x x x x x x x x x x x x x x x x x
21 22 23 24 25 26 27 28 29 30 31 32
Z1 x x x x x x x x x x x x
Z2 x x x x x x x x x x x x
Z3 x x x x x x x x x x x x
Z4 x x x x x x x x x x x x
Z5 x x x x x x x x x x x x
Y0 x x x x x x x x x x x x
Y1
Y2 x x x x
Y3 x x x x
Y4 x x x x x x
Y5 x x x x x x
D1 x x x x x x x x x x x x
D2 x x x x x x x x x x x x
D3 x x x x x x x x x x x x
D4 x x x x x x x x x x x x
D5 x x x x x x x x x x x x
MISSING DATA PATTERN FREQUENCIES
Pattern Frequency Pattern Frequency Pattern Frequency
1 299 12 13 23 10
2 39 13 25 24 24
3 29 14 14 25 13
4 13 15 16 26 6
5 74 16 35 27 7
6 30 17 70 28 9
7 21 18 8 29 11
8 30 19 6 30 19
9 60 20 5 31 8
10 21 21 21 32 33
11 17 22 14
COVARIANCE COVERAGE OF DATA
Minimum covariance coverage value 0.100
PROPORTION OF DATA PRESENT
Covariance Coverage
Z1 Z2 Z3 Z4 Z5
________ ________ ________ ________ ________
Z1 1.000
Z2 1.000 1.000
Z3 1.000 1.000 1.000
Z4 1.000 1.000 1.000 1.000
Z5 1.000 1.000 1.000 1.000 1.000
Y0 1.000 1.000 1.000 1.000 1.000
Y1 0.736 0.736 0.736 0.736 0.736
Y2 0.693 0.693 0.693 0.693 0.693
Y3 0.615 0.615 0.615 0.615 0.615
Y4 0.724 0.724 0.724 0.724 0.724
Y5 0.687 0.687 0.687 0.687 0.687
D1 1.000 1.000 1.000 1.000 1.000
D2 1.000 1.000 1.000 1.000 1.000
D3 1.000 1.000 1.000 1.000 1.000
D4 1.000 1.000 1.000 1.000 1.000
D5 1.000 1.000 1.000 1.000 1.000
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
RESULTS FOR BASIC ANALYSIS
ESTIMATED SAMPLE STATISTICS
Means
Z1 Z2 Z3 Z4 Z5
________ ________ ________ ________ ________
0.264 0.307 0.385 0.276 0.313
Means
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
2.038 0.904 -0.215 -1.417 -2.460
Means
Y5 D1 D2 D3 D4
________ ________ ________ ________ ________
-3.652 0.033 0.035 0.054 0.040
Means
D5
________
0.151
Covariances
Z1 Z2 Z3 Z4 Z5
________ ________ ________ ________ ________
Z1 0.194
Z2 0.025 0.213
Z3 0.038 0.043 0.237
Z4 0.029 0.053 0.071 0.200
Z5 0.035 0.054 0.078 0.076 0.215
Y0 0.003 0.032 0.059 0.046 0.060
Y1 0.003 0.058 0.103 0.089 0.103
Y2 0.043 0.006 0.140 0.122 0.148
Y3 0.013 0.064 0.012 0.084 0.139
Y4 0.032 0.082 0.175 0.012 0.158
Y5 -0.015 0.064 0.159 0.121 0.023
D1 0.024 0.023 0.020 0.024 0.023
D2 -0.009 0.024 0.022 0.025 0.024
D3 0.010 -0.017 0.033 0.039 0.037
D4 0.003 0.010 -0.015 0.029 0.027
D5 0.007 0.014 0.019 -0.042 0.104
Covariances
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
Y0 0.692
Y1 0.218 0.649
Y2 0.223 0.405 0.917
Y3 0.175 0.333 0.618 1.099
Y4 0.179 0.434 0.763 1.016 1.866
Y5 0.118 0.488 0.833 1.089 1.502
D1 0.013 0.000 0.000 -0.001 -0.001
D2 0.006 0.021 0.000 -0.001 -0.001
D3 0.021 0.037 0.061 0.001 0.002
D4 0.002 0.007 0.026 0.042 0.004
D5 0.018 0.038 0.061 0.097 0.153
Covariances
Y5 D1 D2 D3 D4
________ ________ ________ ________ ________
Y5 2.274
D1 -0.001 0.032
D2 -0.001 -0.001 0.034
D3 0.002 -0.002 -0.002 0.051
D4 0.004 -0.001 -0.001 -0.002 0.038
D5 0.019 -0.005 -0.005 -0.008 -0.006
Covariances
D5
________
D5 0.128
Correlations
Z1 Z2 Z3 Z4 Z5
________ ________ ________ ________ ________
Z1 1.000
Z2 0.123 1.000
Z3 0.179 0.191 1.000
Z4 0.148 0.258 0.325 1.000
Z5 0.173 0.252 0.348 0.365 1.000
Y0 0.007 0.084 0.147 0.124 0.156
Y1 0.009 0.157 0.264 0.248 0.276
Y2 0.102 0.013 0.301 0.286 0.333
Y3 0.028 0.132 0.024 0.179 0.285
Y4 0.053 0.130 0.263 0.019 0.249
Y5 -0.023 0.092 0.217 0.179 0.032
D1 0.308 0.278 0.233 0.299 0.274
D2 -0.114 0.286 0.241 0.308 0.282
D3 0.098 -0.159 0.302 0.387 0.354
D4 0.040 0.108 -0.162 0.331 0.302
D5 0.045 0.083 0.108 -0.260 0.625
Correlations
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
Y0 1.000
Y1 0.325 1.000
Y2 0.280 0.525 1.000
Y3 0.201 0.394 0.615 1.000
Y4 0.158 0.394 0.583 0.709 1.000
Y5 0.094 0.402 0.577 0.689 0.729
D1 0.091 -0.001 -0.002 -0.003 -0.002
D2 0.040 0.143 -0.002 -0.004 -0.002
D3 0.110 0.205 0.284 0.003 0.006
D4 0.011 0.045 0.136 0.206 0.014
D5 0.061 0.130 0.179 0.258 0.313
Correlations
Y5 D1 D2 D3 D4
________ ________ ________ ________ ________
Y5 1.000
D1 -0.004 1.000
D2 -0.004 -0.035 1.000
D3 0.006 -0.044 -0.046 1.000
D4 0.013 -0.038 -0.039 -0.049 1.000
D5 0.035 -0.078 -0.080 -0.101 -0.086
Correlations
D5
________
D5 1.000
MAXIMUM LOG-LIKELIHOOD VALUE FOR THE UNRESTRICTED (H1) MODEL IS -2974.677
DESCRIPTIVE STATISTICS FOR DATA MISSING
Summary of Dropout and Non-Dropouts
Number of observations 1000
Number of dropouts 313 (31.3%)
Number of non-dropouts with complete data* 299 (29.9%)
Number of non-dropouts with intermittent missing* 388 (38.8%)
* based on the first set of variables
Number % of
Observed Sample Mean S.D.
VARIABLE SET 1
Variable Y0
Dropouts after time 1 33 3.3% 2.446 0.799
Non-dropouts after time 1 967 96.7% 2.024 0.830
Total dropouts 313 31.3% 2.230 0.806
Dropouts no intermittent missing 150 15.0% 2.235 0.803
Dropouts intermittent missing 163 16.3% 2.226 0.811
Total non-dropouts 687 68.7% 1.950 0.830
Non-dropouts complete data 299 29.9% 1.906 0.803
Non-dropouts intermittent missing 388 38.8% 1.984 0.849
Total sample 1000 100.0% 2.038 0.832
Variable Y1
Dropouts after time 2 35 3.5% 1.510 0.692
Non-dropouts after time 2 701 70.1% 0.869 0.799
Total dropouts 195 19.5% 1.273 0.809
Dropouts no intermittent missing 117 11.7% 1.314 0.813
Dropouts intermittent missing 78 7.8% 1.212 0.805
Total non-dropouts 541 54.1% 0.765 0.761
Non-dropouts complete data 299 29.9% 0.630 0.747
Non-dropouts intermittent missing 242 24.2% 0.933 0.747
Total sample 736 73.6% 0.900 0.806
Variable Y2
Dropouts after time 3 54 5.4% 0.923 0.686
Non-dropouts after time 3 639 63.9% -0.321 0.945
Total dropouts 163 16.3% 0.495 0.879
Dropouts no intermittent missing 82 8.2% 0.424 0.953
Dropouts intermittent missing 81 8.1% 0.567 0.797
Total non-dropouts 530 53.0% -0.445 0.908
Non-dropouts complete data 299 29.9% -0.621 0.867
Non-dropouts intermittent missing 231 23.1% -0.216 0.910
Total sample 693 69.3% -0.224 0.985
Variable Y3
Dropouts after time 4 40 4.0% -0.359 0.881
Non-dropouts after time 4 575 57.5% -1.512 1.055
Total dropouts 114 11.4% -0.599 0.955
Dropouts no intermittent missing 52 5.2% -0.700 0.993
Dropouts intermittent missing 62 6.2% -0.515 0.921
Total non-dropouts 501 50.1% -1.627 1.017
Non-dropouts complete data 299 29.9% -1.728 0.998
Non-dropouts intermittent missing 202 20.2% -1.479 1.030
Total sample 615 61.5% -1.437 1.082
Variable Y4
Dropouts after time 5 151 15.1% -1.446 1.315
Non-dropouts after time 5 573 57.3% -2.747 1.298
Total dropouts 151 15.1% -1.446 1.315
Dropouts no intermittent missing 39 3.9% -1.911 1.304
Dropouts intermittent missing 112 11.2% -1.284 1.286
Total non-dropouts 573 57.3% -2.747 1.298
Non-dropouts complete data 299 29.9% -2.956 1.281
Non-dropouts intermittent missing 274 27.4% -2.520 1.281
Total sample 724 72.4% -2.476 1.404
Variable Y5
Total non-dropouts 687 68.7% -3.685 1.545
Non-dropouts complete data 299 29.9% -4.051 1.499
Non-dropouts intermittent missing 388 38.8% -3.403 1.522
Total sample 687 68.7% -3.685 1.545
VARIABLE SET 2
Variable Z1
Dropouts after time 2 35 3.5% 0.000 0.000
Non-dropouts after time 2 965 96.5% 0.274 0.446
Total dropouts 280 28.0% 0.304 0.461
Dropouts no intermittent missing 280 28.0% 0.304 0.461
Dropouts intermittent missing 0 0.0% 0.000 0.000
Total non-dropouts 687 68.7% 0.213 0.409
Non-dropouts complete data 687 68.7% 0.213 0.409
Non-dropouts intermittent missing 0 0.0% 0.000 0.000
Total sample 967 96.7% 0.239 0.427
Variable Z2
Dropouts after time 3 54 5.4% 0.000 0.000
Non-dropouts after time 3 946 94.6% 0.325 0.468
Total dropouts 245 24.5% 0.335 0.473
Dropouts no intermittent missing 245 24.5% 0.335 0.473
Dropouts intermittent missing 0 0.0% 0.000 0.000
Total non-dropouts 687 68.7% 0.229 0.420
Non-dropouts complete data 687 68.7% 0.229 0.420
Non-dropouts intermittent missing 0 0.0% 0.000 0.000
Total sample 932 93.2% 0.256 0.437
Variable Z3
Dropouts after time 4 40 4.0% 0.000 0.000
Non-dropouts after time 4 960 96.0% 0.401 0.490
Total dropouts 191 19.1% 0.403 0.492
Dropouts no intermittent missing 191 19.1% 0.403 0.492
Dropouts intermittent missing 0 0.0% 0.000 0.000
Total non-dropouts 687 68.7% 0.271 0.445
Non-dropouts complete data 687 68.7% 0.271 0.445
Non-dropouts intermittent missing 0 0.0% 0.000 0.000
Total sample 878 87.8% 0.300 0.458
Variable Z4
Dropouts after time 5 151 15.1% 0.000 0.000
Non-dropouts after time 5 849 84.9% 0.325 0.469
Total dropouts 151 15.1% 0.000 0.000
Dropouts no intermittent missing 151 15.1% 0.000 0.000
Dropouts intermittent missing 0 0.0% 0.000 0.000
Total non-dropouts 687 68.7% 0.166 0.372
Non-dropouts complete data 687 68.7% 0.166 0.372
Non-dropouts intermittent missing 0 0.0% 0.000 0.000
Total sample 838 83.8% 0.136 0.343
Variable Z5
Total non-dropouts 687 68.7% 0.000 0.000
Non-dropouts complete data 687 68.7% 0.000 0.000
Non-dropouts intermittent missing 0 0.0% 0.000 0.000
Total sample 687 68.7% 0.000 0.000
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
Z1 0.264 1.071 0.000 73.60% 0.000 0.000 0.000
1000.000 0.194 -0.853 1.000 26.40% 0.000 1.000
Z2 0.307 0.837 0.000 69.30% 0.000 0.000 0.000
1000.000 0.213 -1.300 1.000 30.70% 0.000 1.000
Z3 0.385 0.473 0.000 61.50% 0.000 0.000 0.000
1000.000 0.237 -1.777 1.000 38.50% 0.000 1.000
Z4 0.276 1.002 0.000 72.40% 0.000 0.000 0.000
1000.000 0.200 -0.996 1.000 27.60% 0.000 1.000
Z5 0.313 0.807 0.000 68.70% 0.000 0.000 0.000
1000.000 0.215 -1.350 1.000 31.30% 0.000 1.000
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
PLOT INFORMATION
The following plots are available:
Dropout means
Sample means
Beginning Time: 23:04:54
Ending Time: 23:04:54
Elapsed Time: 00:00:00
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