Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:09 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a path analysis
with a combination of censored,
categorical, and unordered categorical
(nominal) dependent variables
DATA: FILE IS ex3.15.dat;
VARIABLE: NAMES ARE y1 u2 u1 x1-x3;
CENSORED IS y1 (a);
CATEGORICAL IS u1;
NOMINAL IS u2;
MODEL: y1 u1 ON x1 x2 x3;
u2 ON y1 u1 x2;
INPUT READING TERMINATED NORMALLY
this is an example of a path analysis
with a combination of censored,
categorical, and unordered categorical
(nominal) dependent variables
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
Censored
Y1
Binary and ordered categorical (ordinal)
U1
Unordered categorical (nominal)
U2
Observed independent variables
X1 X2 X3
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
Optimization algorithm EMA
Integration Specifications
Type STANDARD
Number of integration points 15
Dimensions of numerical integration 0
Adaptive quadrature ON
Link LOGIT
Cholesky OFF
Input data file(s)
ex3.15.dat
Input data format FREE
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
U1
Category 1 0.510 255.000
Category 2 0.490 245.000
U2
Category 1 0.454 227.000
Category 2 0.252 126.000
Category 3 0.294 147.000
SUMMARY OF CENSORED LIMITS
Y1 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
X1 -0.009 -0.121 -3.266 0.20% -0.864 -0.223 0.006
500.000 1.026 0.188 2.938 0.20% 0.296 0.852
X2 -0.014 0.076 -3.145 0.20% -0.831 -0.240 -0.038
500.000 0.972 0.120 2.857 0.20% 0.180 0.801
X3 -0.029 0.114 -3.268 0.20% -0.911 -0.327 -0.046
500.000 1.047 0.124 4.046 0.20% 0.235 0.820
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 17
Loglikelihood
H0 Value -1181.376
H0 Scaling Correction Factor 1.0091
for MLR
Information Criteria
Akaike (AIC) 2396.751
Bayesian (BIC) 2468.400
Sample-Size Adjusted BIC 2414.440
(n* = (n + 2) / 24)
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Y1 ON
X1 -0.992 0.054 -18.311 0.000
X2 0.488 0.048 10.108 0.000
X3 0.920 0.049 18.807 0.000
U1 ON
X1 1.031 0.121 8.520 0.000
X2 -0.599 0.124 -4.826 0.000
X3 -0.925 0.117 -7.938 0.000
U2#1 ON
Y1 0.450 0.097 4.665 0.000
U1 1.503 0.258 5.833 0.000
X2 -0.665 0.164 -4.043 0.000
U2#2 ON
Y1 -0.020 0.153 -0.132 0.895
U1 -0.887 0.360 -2.466 0.014
X2 1.731 0.219 7.905 0.000
Intercepts
Y1 0.417 0.054 7.786 0.000
U2#1 -0.496 0.176 -2.825 0.005
U2#2 -0.544 0.200 -2.714 0.007
Thresholds
U1$1 0.094 0.109 0.867 0.386
Residual Variances
Y1 0.904 0.073 12.448 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.100E-01
(ratio of smallest to largest eigenvalue)
LOGISTIC REGRESSION ODDS RATIO RESULTS
95% C.I.
Estimate S.E. Lower 2.5% Upper 2.5%
U1 ON
X1 2.803 0.339 2.211 3.552
X2 0.549 0.068 0.431 0.701
X3 0.396 0.046 0.316 0.498
U2#1 ON
Y1 1.569 0.151 1.298 1.896
U1 4.495 1.158 2.713 7.449
X2 0.514 0.085 0.373 0.710
U2#2 ON
Y1 0.980 0.150 0.725 1.324
U1 0.412 0.148 0.204 0.834
X2 5.644 1.236 3.675 8.669
Beginning Time: 23:09:15
Ending Time: 23:09:15
Elapsed Time: 00:00:00
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