Mplus VERSION 8.6
MUTHEN & MUTHEN
07/20/2021 6:53 PM
OUTPUT SECTIONS
INPUT INSTRUCTIONS
DATA: FILE IS full_sem.txt;
VARIABLE:
NAMES ARE
ESS6_id
cntry
ESS6_reg
lois
genre
age
ipcrtiv
imprich
ipeqopt
ipshabt
impsafe
impdiff
ipfrule
ipudrst
ipmodst
ipgdtim
impfree
iphlppl
ipsuces
ipstrgv
ipadvnt
ipbhprp
iprspot
iplylfr
impenv
imptrad
impfun
reg6_gdp_eurhab_2011
reg6_lounra_2011
HOMICIDES_2010
REGULATIONS_2010
BURGLARIES_2010
THEFTS_2010
region
ID;
USEVARIABLES ARE
lois ipsuces ipshabt imprich
ipstrgv ipfrule imptrad
age PIB;
CLUSTER = region;
MISSING ARE ALL (7-9 77-99 999);
BETWEEN = PIB;
WITHIN = age;
DEFINE:
PIB = reg6_gdp_eurhab_2011/1000;
CENTER Lois ipsuces ipshabt imprich
ipstrgv ipfrule imptrad (GRANDMEAN);
ANALYSIS:
type = twolevel RANDOM;
MODEL:
%WITHIN%
Societe BY ipstrgv ipfrule imptrad;
Individu BY ipsuces ipshabt imprich;
Societe WITH Individu ;
Societe on age(a1);
Individu on age(a2);
Lois on Societe (b1) ;
Lois on Individu(b2);
PENTE | Lois ON age;
%BETWEEN%
Valeurs BY ipsuces-imptrad;
Valeurs on PIB (a3);
Lois ON Valeurs(b3);
[PENTE](c_age);
Lois ON PIB(c_PIB);
PENTE ON PIB ;
Pente WITH Lois;
Model constraints:
New (Socie_in Indiv_in WTotal_i A_direct Bindirec Bdirect);
Socie_in = a1 * b1; !Médiation via Societe
Indiv_in = a2 * b2; !Médiation via Individu
WTotal_i = Socie_in + Indiv_in; !Médiation totale au niveau Within
A_direct = c_age; !Effet direct de la pente aléatoire Pente
Bindirec = a3 * b3; !Médiation au niveau Between
Bdirect = c_PIB; !Effet direct au niveau Between
OUTPUT: cinterval sampstat modindices(0);
*** WARNING
One or more individual-level variables have no variation within a
cluster for the following clusters.
Variable Cluster IDs with no within-cluster variation
LOIS 74 21 25 38 23 69 14 17
*** WARNING in OUTPUT command
MODINDICES option is not available in conjunction with nonlinear constraints
through the use of MODEL CONSTRAINT. Request for MODINDICES is ignored.
*** WARNING
Data set contains unknown or missing values for GROUPING,
PATTERN, COHORT, CLUSTER and/or STRATIFICATION variables.
Number of cases with unknown or missing values: 2798
*** 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: 2519
*** 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: 29
5 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 15234
Number of dependent variables 7
Number of independent variables 2
Number of continuous latent variables 4
Observed dependent variables
Continuous
LOIS IPSUCES IPSHABT IMPRICH IPSTRGV IPFRULE
IMPTRAD
Observed independent variables
AGE PIB
Continuous latent variables
SOCIETE INDIVIDU PENTE VALEURS
Variables with special functions
Cluster variable REGION
Within variables
AGE
Between variables
PIB
Centering (GRANDMEAN)
LOIS IPSUCES IPSHABT IMPRICH IPSTRGV IPFRULE
IMPTRAD
Estimator MLR
Information matrix OBSERVED
Maximum number of iterations 100
Convergence criterion 0.100D-05
Maximum number of EM iterations 500
Convergence criteria for the EM algorithm
Loglikelihood change 0.100D-02
Relative loglikelihood change 0.100D-05
Derivative 0.100D-03
Minimum variance 0.100D-03
Maximum number of steepest descent iterations 20
Maximum number of iterations for H1 2000
Convergence criterion for H1 0.100D-03
Optimization algorithm EMA
Input data file(s)
full_sem.txt
Input data format FREE
SUMMARY OF DATA
Number of missing data patterns 62
Number of clusters 118
Average cluster size 129.102
Estimated Intraclass Correlations for the Y Variables
Intraclass Intraclass Intraclass
Variable Correlation Variable Correlation Variable Correlation
LOIS 0.095 IPSUCES 0.119 IPSHABT 0.181
IMPRICH 0.159 IPSTRGV 0.112 IPFRULE 0.091
IMPTRAD 0.085
COVARIANCE COVERAGE OF DATA
Minimum covariance coverage value 0.100
PROPORTION OF DATA PRESENT
Covariance Coverage
LOIS IPSUCES IPSHABT IMPRICH IPSTRGV
________ ________ ________ ________ ________
LOIS 0.667
IPSUCES 0.660 0.990
IPSHABT 0.661 0.987 0.992
IMPRICH 0.662 0.989 0.991 0.994
IPSTRGV 0.658 0.983 0.984 0.986 0.987
IPFRULE 0.660 0.985 0.987 0.988 0.982
IMPTRAD 0.661 0.988 0.989 0.990 0.985
AGE 0.667 0.990 0.992 0.994 0.987
PIB 0.667 0.990 0.992 0.994 0.987
Covariance Coverage
IPFRULE IMPTRAD AGE PIB
________ ________ ________ ________
IPFRULE 0.990
IMPTRAD 0.987 0.992
AGE 0.990 0.992 1.000
PIB 0.990 0.992 1.000 1.000
SAMPLE STATISTICS
NOTE: The sample statistics for within and between refer to the
maximum-likelihood estimated within and between covariance
matrices, respectively.
ESTIMATED SAMPLE STATISTICS FOR WITHIN
Means
LOIS IPSUCES IPSHABT IMPRICH IPSTRGV
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
Means
IPFRULE IMPTRAD AGE PIB
________ ________ ________ ________
0.000 0.000 46.873 0.000
Covariances
LOIS IPSUCES IPSHABT IMPRICH IPSTRGV
________ ________ ________ ________ ________
LOIS 3.025
IPSUCES -0.046 1.486
IPSHABT -0.030 0.846 1.601
IMPRICH 0.068 0.592 0.571 1.572
IPSTRGV -0.160 0.309 0.213 0.122 1.138
IPFRULE -0.012 0.246 0.200 0.111 0.329
IMPTRAD -0.072 0.162 0.112 -0.012 0.351
AGE 0.679 5.093 5.515 5.989 -0.868
PIB 0.000 0.000 0.000 0.000 0.000
Covariances
IPFRULE IMPTRAD AGE PIB
________ ________ ________ ________
IPFRULE 1.753
IMPTRAD 0.414 1.652
AGE -2.089 -3.948 283.175
PIB 0.000 0.000 0.000 0.000
Correlations
LOIS IPSUCES IPSHABT IMPRICH IPSTRGV
________ ________ ________ ________ ________
LOIS 1.000
IPSUCES -0.022 1.000
IPSHABT -0.013 0.548 1.000
IMPRICH 0.031 0.388 0.360 1.000
IPSTRGV -0.086 0.237 0.158 0.091 1.000
IPFRULE -0.005 0.152 0.119 0.067 0.233
IMPTRAD -0.032 0.103 0.069 -0.007 0.256
AGE 0.023 0.248 0.259 0.284 -0.048
PIB 0.000 0.000 0.000 0.000 0.000
Correlations
IPFRULE IMPTRAD AGE PIB
________ ________ ________ ________
IPFRULE 1.000
IMPTRAD 0.243 1.000
AGE -0.094 -0.183 1.000
PIB 0.000 0.000 0.000 0.000
ESTIMATED SAMPLE STATISTICS FOR BETWEEN
Means
LOIS IPSUCES IPSHABT IMPRICH IPSTRGV
________ ________ ________ ________ ________
-0.048 -0.061 -0.121 -0.066 -0.079
Means
IPFRULE IMPTRAD AGE PIB
________ ________ ________ ________
-0.089 -0.096 0.000 20.461
Covariances
LOIS IPSUCES IPSHABT IMPRICH IPSTRGV
________ ________ ________ ________ ________
LOIS 0.317
IPSUCES -0.023 0.201
IPSHABT -0.044 0.222 0.353
IMPRICH 0.067 0.159 0.209 0.298
IPSTRGV -0.054 0.124 0.185 0.099 0.144
IPFRULE -0.080 0.075 0.103 0.036 0.078
IMPTRAD -0.034 0.148 0.202 0.147 0.123
AGE 0.000 0.000 0.000 0.000 0.000
PIB 0.960 4.695 6.495 5.492 3.995
Covariances
IPFRULE IMPTRAD AGE PIB
________ ________ ________ ________
IPFRULE 0.175
IMPTRAD 0.102 0.153
AGE 0.000 0.000 0.000
PIB 1.570 4.425 0.000 251.720
Correlations
LOIS IPSUCES IPSHABT IMPRICH IPSTRGV
________ ________ ________ ________ ________
LOIS 1.000
IPSUCES -0.091 1.000
IPSHABT -0.132 0.833 1.000
IMPRICH 0.217 0.651 0.643 1.000
IPSTRGV -0.252 0.732 0.821 0.480 1.000
IPFRULE -0.338 0.398 0.414 0.156 0.489
IMPTRAD -0.153 0.842 0.869 0.688 0.826
AGE 0.000 0.000 0.000 0.000 0.000
PIB 0.107 0.660 0.689 0.635 0.664
Correlations
IPFRULE IMPTRAD AGE PIB
________ ________ ________ ________
IPFRULE 1.000
IMPTRAD 0.621 1.000
AGE 0.000 0.000 0.000
PIB 0.237 0.712 0.000 1.000
MAXIMUM LOG-LIKELIHOOD VALUE FOR THE UNRESTRICTED (H1) MODEL IS -160891.013
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
LOIS 0.000 -2.694 -9.344 0.36% 0.656 0.656 0.656
10158.000 3.265 6.446 0.656 87.50% 0.656 0.656
IPSUCES 0.000 0.341 -1.964 11.81% -0.964 -0.964 0.036
15081.000 1.630 -0.642 3.036 2.35% 0.036 1.036
IPSHABT 0.000 0.279 -2.066 12.14% -1.066 -0.066 -0.066
15112.000 1.834 -0.824 2.934 3.39% -0.066 0.934
IMPRICH 0.000 -0.458 -3.027 4.54% -1.027 -0.027 -0.027
15143.000 1.824 -0.609 1.973 12.14% 0.973 0.973
IPSTRGV 0.000 0.857 -1.261 27.48% -1.261 -0.261 -0.261
15040.000 1.256 0.306 3.739 0.66% -0.261 0.739
IPFRULE 0.000 0.220 -2.187 10.39% -1.187 -0.187 -0.187
15080.000 1.915 -0.921 2.813 4.44% -0.187 1.813
IMPTRAD 0.000 0.607 -1.713 18.73% -0.713 -0.713 -0.713
15117.000 1.779 -0.407 3.287 3.06% 0.287 1.287
AGE 46.873 -0.131 15.000 0.76% 30.000 42.000 48.000
15234.000 283.175 -1.054 101.000 0.01% 53.000 64.000
PIB 20.461 0.694 2.600 3.39% 4.400 7.900 22.150
118.000 251.720 -0.103 72.600 0.85% 25.600 32.100
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 45
Loglikelihood
H0 Value -161275.049
H0 Scaling Correction Factor 2.3892
for MLR
Information Criteria
Akaike (AIC) 322640.097
Bayesian (BIC) 322983.505
Sample-Size Adjusted BIC 322840.499
(n* = (n + 2) / 24)
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Within Level
SOCIETE BY
IPSTRGV 1.000 0.000 999.000 999.000
IPFRULE 1.108 0.057 19.468 0.000
IMPTRAD 1.150 0.057 20.051 0.000
INDIVIDU BY
IPSUCES 1.000 0.000 999.000 999.000
IPSHABT 0.955 0.026 37.016 0.000
IMPRICH 0.692 0.025 28.007 0.000
SOCIETE ON
AGE -0.007 0.001 -12.385 0.000
INDIVIDU ON
AGE 0.021 0.001 28.483 0.000
LOIS ON
SOCIETE -0.310 0.080 -3.859 0.000
INDIVIDU 0.049 0.042 1.166 0.244
SOCIETE WITH
INDIVIDU 0.233 0.014 16.844 0.000
Residual Variances
LOIS 2.985 0.216 13.812 0.000
IPSUCES 0.611 0.023 26.555 0.000
IPSHABT 0.802 0.028 28.922 0.000
IMPRICH 1.151 0.028 40.667 0.000
IPSTRGV 0.830 0.029 29.015 0.000
IPFRULE 1.374 0.038 36.611 0.000
IMPTRAD 1.244 0.045 27.525 0.000
SOCIETE 0.294 0.020 14.859 0.000
INDIVIDU 0.757 0.030 24.950 0.000
Between Level
VALEURS BY
IPSUCES 1.000 0.000 999.000 999.000
IPSHABT 1.369 0.093 14.744 0.000
IMPRICH 0.911 0.128 7.119 0.000
IPSTRGV 0.812 0.079 10.245 0.000
IPFRULE 0.537 0.125 4.281 0.000
IMPTRAD 0.959 0.078 12.364 0.000
VALEURS ON
PIB 0.019 0.003 7.144 0.000
PENTE ON
PIB 0.000 0.000 1.395 0.163
LOIS ON
VALEURS -0.767 0.288 -2.659 0.008
LOIS ON
PIB 0.014 0.007 1.856 0.063
PENTE WITH
LOIS -0.002 0.001 -2.667 0.008
Intercepts
LOIS -0.132 0.150 -0.883 0.377
IPSUCES -1.413 0.070 -20.289 0.000
IPSHABT -1.572 0.079 -19.890 0.000
IMPRICH -1.078 0.093 -11.563 0.000
IPSTRGV -0.055 0.060 -0.917 0.359
IPFRULE 0.075 0.083 0.895 0.371
IMPTRAD -0.087 0.064 -1.346 0.178
PENTE -0.003 0.003 -1.102 0.271
Residual Variances
LOIS 0.307 0.100 3.069 0.002
IPSUCES 0.044 0.007 5.959 0.000
IPSHABT 0.053 0.012 4.269 0.000
IMPRICH 0.163 0.033 4.961 0.000
IPSTRGV 0.035 0.007 4.812 0.000
IPFRULE 0.125 0.017 7.336 0.000
IMPTRAD 0.011 0.004 2.537 0.011
PENTE 0.000 0.000 14.049 0.000
VALEURS 0.069 0.016 4.264 0.000
New/Additional Parameters
SOCIE_IN 0.002 0.001 3.495 0.000
INDIV_IN 0.001 0.001 1.184 0.236
WTOTAL_I 0.003 0.001 2.790 0.005
A_DIRECT -0.003 0.003 -1.102 0.271
BINDIREC -0.015 0.006 -2.503 0.012
BDIRECT 0.014 0.007 1.856 0.063
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.787E-08
(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%
Within Level
SOCIETE BY
IPSTRGV 1.000 1.000 1.000 1.000 1.000 1.000 1.000
IPFRULE 0.962 0.997 1.015 1.108 1.202 1.220 1.255
IMPTRAD 1.003 1.038 1.056 1.150 1.245 1.263 1.298
INDIVIDU BY
IPSUCES 1.000 1.000 1.000 1.000 1.000 1.000 1.000
IPSHABT 0.889 0.905 0.913 0.955 0.998 1.006 1.022
IMPRICH 0.628 0.643 0.651 0.692 0.732 0.740 0.755
SOCIETE ON
AGE -0.009 -0.008 -0.008 -0.007 -0.006 -0.006 -0.006
INDIVIDU ON
AGE 0.019 0.019 0.019 0.021 0.022 0.022 0.022
LOIS ON
SOCIETE -0.517 -0.468 -0.442 -0.310 -0.178 -0.153 -0.103
INDIVIDU -0.059 -0.033 -0.020 0.049 0.117 0.130 0.156
SOCIETE WITH
INDIVIDU 0.197 0.206 0.210 0.233 0.255 0.260 0.268
Residual Variances
LOIS 2.428 2.561 2.629 2.985 3.340 3.408 3.541
IPSUCES 0.552 0.566 0.573 0.611 0.649 0.656 0.671
IPSHABT 0.731 0.748 0.757 0.802 0.848 0.857 0.874
IMPRICH 1.078 1.095 1.104 1.151 1.197 1.206 1.224
IPSTRGV 0.756 0.774 0.783 0.830 0.877 0.886 0.904
IPFRULE 1.277 1.301 1.312 1.374 1.436 1.448 1.471
IMPTRAD 1.127 1.155 1.170 1.244 1.318 1.332 1.360
SOCIETE 0.243 0.255 0.261 0.294 0.327 0.333 0.345
INDIVIDU 0.679 0.698 0.707 0.757 0.807 0.817 0.835
Between Level
VALEURS BY
IPSUCES 1.000 1.000 1.000 1.000 1.000 1.000 1.000
IPSHABT 1.130 1.187 1.216 1.369 1.522 1.551 1.608
IMPRICH 0.581 0.660 0.700 0.911 1.121 1.162 1.241
IPSTRGV 0.608 0.656 0.681 0.812 0.942 0.967 1.016
IPFRULE 0.214 0.291 0.330 0.537 0.743 0.782 0.860
IMPTRAD 0.759 0.807 0.831 0.959 1.087 1.111 1.159
VALEURS ON
PIB 0.012 0.014 0.015 0.019 0.023 0.024 0.026
PENTE ON
PIB 0.000 0.000 0.000 0.000 0.000 0.000 0.000
LOIS ON
VALEURS -1.509 -1.332 -1.241 -0.767 -0.292 -0.202 -0.024
LOIS ON
PIB -0.005 -0.001 0.002 0.014 0.026 0.028 0.033
PENTE WITH
LOIS -0.003 -0.003 -0.003 -0.002 -0.001 0.000 0.000
Intercepts
LOIS -0.518 -0.426 -0.378 -0.132 0.114 0.161 0.253
IPSUCES -1.593 -1.550 -1.528 -1.413 -1.299 -1.277 -1.234
IPSHABT -1.775 -1.727 -1.702 -1.572 -1.442 -1.417 -1.368
IMPRICH -1.318 -1.260 -1.231 -1.078 -0.924 -0.895 -0.838
IPSTRGV -0.209 -0.172 -0.153 -0.055 0.043 0.062 0.099
IPFRULE -0.140 -0.089 -0.063 0.075 0.212 0.238 0.290
IMPTRAD -0.252 -0.213 -0.193 -0.087 0.019 0.040 0.079
PENTE -0.009 -0.008 -0.007 -0.003 0.001 0.002 0.004
Residual Variances
LOIS 0.049 0.111 0.143 0.307 0.472 0.504 0.565
IPSUCES 0.025 0.029 0.032 0.044 0.056 0.058 0.063
IPSHABT 0.021 0.028 0.032 0.053 0.073 0.077 0.084
IMPRICH 0.078 0.099 0.109 0.163 0.217 0.227 0.248
IPSTRGV 0.016 0.021 0.023 0.035 0.047 0.049 0.054
IPFRULE 0.081 0.092 0.097 0.125 0.154 0.159 0.169
IMPTRAD 0.000 0.003 0.004 0.011 0.018 0.020 0.022
PENTE 0.000 0.000 0.000 0.000 0.000 0.000 0.000
VALEURS 0.027 0.037 0.042 0.069 0.096 0.101 0.111
New/Additional Parameters
SOCIE_IN 0.001 0.001 0.001 0.002 0.003 0.003 0.004
INDIV_IN -0.001 -0.001 0.000 0.001 0.002 0.003 0.003
WTOTAL_I 0.000 0.001 0.001 0.003 0.005 0.005 0.006
A_DIRECT -0.009 -0.008 -0.007 -0.003 0.001 0.002 0.004
BINDIREC -0.030 -0.026 -0.024 -0.015 -0.005 -0.003 0.000
BDIRECT -0.005 -0.001 0.002 0.014 0.026 0.028 0.033
DIAGRAM INFORMATION
Mplus diagrams are currently not available for multilevel analysis.
No diagram output was produced.
Beginning Time: 18:53:56
Ending Time: 18:53:58
Elapsed Time: 00:00:02
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