```Mplus VERSION 8
MUTHEN & MUTHEN
04/10/2017   4:54 AM

INPUT INSTRUCTIONS

TITLE:	    this is an example of a three-level MIMIC with
continuous factor indicators, two covariates on within,
one covariate on between 2, one covariate on between 3,
and random slopes on both within and between 2
DATA:       FILE = ex9.22.dat;
VARIABLE:   NAMES = y1-y6 x1 x2 w z level2 level3;
CLUSTER = level3 level2;
WITHIN = x1 x2;
BETWEEN = (level2) w (level3) z;
ANALYSIS:	TYPE = THREELEVEL RANDOM;
MODEL:      %WITHIN%
fw1 BY y1-y3;
fw2 BY y4-y6;
fw1 ON x1;
s | fw2 ON x2;
%BETWEEN level2%
fb2 BY y1-y6;
sf2 | fb2 ON w;
ss | s ON w;
fb2 WITH s;
%BETWEEN level3%
fb3 BY y1-y6;
fb3 ON z;
s ON z;
sf2 ON z;
ss ON z;
fb3 WITH s sf2 ss;
s WITH sf2 ss;
sf2 WITH ss;
OUTPUT:     TECH1 TECH8;

INPUT READING TERMINATED NORMALLY

this is an example of a three-level MIMIC with
continuous factor indicators, two covariates on within,
one covariate on between 2, one covariate on between 3,
and random slopes on both within and between 2

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        7500

Number of dependent variables                                    6
Number of independent variables                                  4
Number of continuous latent variables                            7

Observed dependent variables

Continuous
Y1          Y2          Y3          Y4          Y5          Y6

Observed independent variables
X1          X2          W           Z

Continuous latent variables
FW1         FW2         FB2         S           FB3         SF2
SS

Variables with special functions

Cluster variables     LEVEL3    LEVEL2

Within variables
X1          X2

Level 2 between variables
W

Level 3 between variables
Z

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-02
Optimization algorithm                                         EMA

Input data file(s)
ex9.22.dat
Input data format  FREE

SUMMARY OF DATA

Number of LEVEL2 clusters           1500
Number of LEVEL3 clusters             50

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                    0.591       0.045      -8.980    0.01%      -1.484     -0.015      0.621
7500.000       6.257       0.208      10.821    0.01%       1.230      2.625
Y2                    0.579       0.033      -9.214    0.01%      -1.473     -0.036      0.542
7500.000       6.175       0.302       9.718    0.01%       1.145      2.600
Y3                    0.620       0.074     -10.111    0.01%      -1.429     -0.034      0.567
7500.000       6.152       0.192      10.593    0.01%       1.217      2.680
Y4                    0.648       0.323     -11.342    0.01%      -1.494     -0.045      0.596
7500.000       7.537       1.651      17.621    0.01%       1.228      2.734
Y5                    0.528       0.339     -12.802    0.01%      -1.656     -0.154      0.449
7500.000       7.378       1.585      18.984    0.01%       1.092      2.683
Y6                    0.591       0.250     -11.746    0.01%      -1.557     -0.049      0.604
7500.000       7.348       1.541      18.501    0.01%       1.191      2.681
X1                   -0.012      -0.003      -4.200    0.01%      -0.865     -0.256     -0.002
7500.000       0.998       0.008       3.861    0.01%       0.243      0.834
X2                    0.008       0.045      -4.119    0.01%      -0.827     -0.250     -0.001
7500.000       0.993       0.011       3.954    0.01%       0.245      0.849
W                     0.016      -0.012      -3.947    0.07%      -0.787     -0.237      0.012
1500.000       0.996       0.245       3.412    0.07%       0.242      0.835
Z                     0.205       0.342      -1.505    2.00%      -0.721     -0.071      0.185
50.000       0.840      -0.360       2.528    2.00%       0.481      0.943

THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE
TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NON-POSITIVE DEFINITE
FIRST-ORDER DERIVATIVE PRODUCT MATRIX.  THIS MAY BE DUE TO THE STARTING
VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION.  THE
CONDITION NUMBER IS      -0.151D-17.  PROBLEM INVOLVING THE FOLLOWING PARAMETER:
Parameter 51, %BETWEEN LEVEL3%: SF2 ON Z

THE NONIDENTIFICATION IS MOST LIKELY DUE TO HAVING MORE PARAMETERS THAN THE
NUMBER OF LEVEL 3 CLUSTERS. REDUCE THE NUMBER OF PARAMETERS.

THE MODEL ESTIMATION TERMINATED NORMALLY

MODEL FIT INFORMATION

Number of Free Parameters                       62

Loglikelihood

H0 Value                      -80911.886
H0 Scaling Correction Factor      0.9890
for MLR

Information Criteria

Akaike (AIC)                  161947.772
Bayesian (BIC)                162376.977
Sample-Size Adjusted BIC      162179.954
(n* = (n + 2) / 24)

MODEL RESULTS

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

Within Level

FW1      BY
Y1                 1.000      0.000    999.000    999.000
Y2                 1.000      0.016     63.019      0.000
Y3                 0.985      0.016     60.476      0.000

FW2      BY
Y4                 1.000      0.000    999.000    999.000
Y5                 1.003      0.012     80.546      0.000
Y6                 1.013      0.013     78.798      0.000

FW1        ON
X1                 0.789      0.015     51.328      0.000

FW2      WITH
FW1               -0.017      0.019     -0.880      0.379

Residual Variances
Y1                 1.018      0.026     38.878      0.000
Y2                 0.944      0.025     37.679      0.000
Y3                 1.045      0.022     46.695      0.000
Y4                 1.033      0.031     32.829      0.000
Y5                 0.990      0.026     38.169      0.000
Y6                 0.994      0.025     40.459      0.000
FW1                0.996      0.028     35.262      0.000
FW2                1.005      0.031     32.168      0.000

Between LEVEL2 Level

FB2      BY
Y1                 1.000      0.000    999.000    999.000
Y2                 1.019      0.022     46.857      0.000
Y3                 0.991      0.024     42.156      0.000
Y4                 1.039      0.028     36.568      0.000
Y5                 1.037      0.023     44.692      0.000
Y6                 1.000      0.026     38.127      0.000

FB2      WITH
S                  0.017      0.019      0.913      0.361

Residual Variances
Y1                 0.492      0.031     15.685      0.000
Y2                 0.444      0.035     12.840      0.000
Y3                 0.476      0.027     17.356      0.000
Y4                 0.491      0.034     14.307      0.000
Y5                 0.542      0.031     17.253      0.000
Y6                 0.554      0.039     14.222      0.000
FB2                0.455      0.028     16.511      0.000
S                  0.610      0.037     16.405      0.000

Between LEVEL3 Level

FB3      BY
Y1                 1.000      0.000    999.000    999.000
Y2                 0.961      0.152      6.327      0.000
Y3                 0.971      0.144      6.745      0.000
Y4                 1.008      0.105      9.603      0.000
Y5                 0.889      0.125      7.104      0.000
Y6                 0.903      0.120      7.509      0.000

FB3        ON
Z                  0.757      0.116      6.533      0.000

S          ON
Z                  0.310      0.079      3.905      0.000

SF2        ON
Z                  0.130      0.086      1.513      0.130

SS         ON
Z                  0.343      0.081      4.218      0.000

FB3      WITH
S                  0.025      0.047      0.532      0.595
SF2                0.065      0.049      1.336      0.182
SS                -0.036      0.033     -1.088      0.277

S        WITH
SF2                0.044      0.050      0.887      0.375
SS                 0.047      0.040      1.185      0.236

SF2      WITH
SS                 0.018      0.048      0.372      0.710

Intercepts
Y1                 0.423      0.104      4.055      0.000
Y2                 0.416      0.109      3.823      0.000
Y3                 0.457      0.104      4.406      0.000
Y4                 0.467      0.098      4.776      0.000
Y5                 0.365      0.089      4.121      0.000
Y6                 0.427      0.078      5.454      0.000
S                  0.222      0.083      2.687      0.007
SF2                1.103      0.093     11.915      0.000
SS                 0.446      0.077      5.810      0.000

Residual Variances
Y1                 0.300      0.096      3.140      0.002
Y2                 0.216      0.066      3.265      0.001
Y3                 0.238      0.057      4.163      0.000
Y4                 0.135      0.035      3.876      0.000
Y5                 0.125      0.033      3.767      0.000
Y6                 0.156      0.045      3.494      0.000
FB3                0.242      0.085      2.852      0.004
S                  0.318      0.072      4.441      0.000
SF2                0.362      0.066      5.460      0.000
SS                 0.221      0.044      5.063      0.000

QUALITY OF NUMERICAL RESULTS

Condition Number for the Information Matrix             -0.151E-17
(ratio of smallest to largest eigenvalue)

TECHNICAL 1 OUTPUT

PARAMETER SPECIFICATION FOR WITHIN

NU
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
0             0             0             0             0

NU
Y6            X1            X2
________      ________      ________
0             0             0

LAMBDA
FW1           FW2           X1            X2
________      ________      ________      ________
Y1                 0             0             0             0
Y2                 1             0             0             0
Y3                 2             0             0             0
Y4                 0             0             0             0
Y5                 0             3             0             0
Y6                 0             4             0             0
X1                 0             0             0             0
X2                 0             0             0             0

THETA
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
Y1                 5
Y2                 0             6
Y3                 0             0             7
Y4                 0             0             0             8
Y5                 0             0             0             0             9
Y6                 0             0             0             0             0
X1                 0             0             0             0             0
X2                 0             0             0             0             0

THETA
Y6            X1            X2
________      ________      ________
Y6                10
X1                 0             0
X2                 0             0             0

ALPHA
FW1           FW2           X1            X2
________      ________      ________      ________
0             0             0             0

BETA
FW1           FW2           X1            X2
________      ________      ________      ________
FW1                0             0            11             0
FW2                0             0             0             0
X1                 0             0             0             0
X2                 0             0             0             0

PSI
FW1           FW2           X1            X2
________      ________      ________      ________
FW1               12
FW2               13            14
X1                 0             0             0
X2                 0             0             0             0

PARAMETER SPECIFICATION FOR BETWEEN LEVEL2

NU
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
0             0             0             0             0

NU
Y6            W
________      ________
0             0

LAMBDA
FB2           S%B2          W
________      ________      ________
Y1                 0             0             0
Y2                15             0             0
Y3                16             0             0
Y4                17             0             0
Y5                18             0             0
Y6                19             0             0
W                  0             0             0

THETA
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
Y1                20
Y2                 0            21
Y3                 0             0            22
Y4                 0             0             0            23
Y5                 0             0             0             0            24
Y6                 0             0             0             0             0
W                  0             0             0             0             0

THETA
Y6            W
________      ________
Y6                25
W                  0             0

ALPHA
FB2           S%B2          W
________      ________      ________
0             0             0

BETA
FB2           S%B2          W
________      ________      ________
FB2                0             0             0
S%B2               0             0             0
W                  0             0             0

PSI
FB2           S%B2          W
________      ________      ________
FB2               26
S%B2              27            28
W                  0             0             0

PARAMETER SPECIFICATION FOR BETWEEN LEVEL3

NU
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
29            30            31            32            33

NU
Y6            Z
________      ________
34             0

LAMBDA
FB3           S%B3          SF2           SS            Z
________      ________      ________      ________      ________
Y1                 0             0             0             0             0
Y2                35             0             0             0             0
Y3                36             0             0             0             0
Y4                37             0             0             0             0
Y5                38             0             0             0             0
Y6                39             0             0             0             0
Z                  0             0             0             0             0

THETA
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
Y1                40
Y2                 0            41
Y3                 0             0            42
Y4                 0             0             0            43
Y5                 0             0             0             0            44
Y6                 0             0             0             0             0
Z                  0             0             0             0             0

THETA
Y6            Z
________      ________
Y6                45
Z                  0             0

ALPHA
FB3           S%B3          SF2           SS            Z
________      ________      ________      ________      ________
0            46            47            48             0

BETA
FB3           S%B3          SF2           SS            Z
________      ________      ________      ________      ________
FB3                0             0             0             0            49
S%B3               0             0             0             0            50
SF2                0             0             0             0            51
SS                 0             0             0             0            52
Z                  0             0             0             0             0

PSI
FB3           S%B3          SF2           SS            Z
________      ________      ________      ________      ________
FB3               53
S%B3              54            55
SF2               56            57            58
SS                59            60            61            62
Z                  0             0             0             0             0

STARTING VALUES FOR WITHIN

NU
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
0.000         0.000         0.000         0.000         0.000

NU
Y6            X1            X2
________      ________      ________
0.000         0.000         0.000

LAMBDA
FW1           FW2           X1            X2
________      ________      ________      ________
Y1             1.000         0.000         0.000         0.000
Y2             1.000         0.000         0.000         0.000
Y3             1.000         0.000         0.000         0.000
Y4             0.000         1.000         0.000         0.000
Y5             0.000         1.000         0.000         0.000
Y6             0.000         1.000         0.000         0.000
X1             0.000         0.000         1.000         0.000
X2             0.000         0.000         0.000         1.000

THETA
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
Y1             3.129
Y2             0.000         3.088
Y3             0.000         0.000         3.076
Y4             0.000         0.000         0.000         3.769
Y5             0.000         0.000         0.000         0.000         3.689
Y6             0.000         0.000         0.000         0.000         0.000
X1             0.000         0.000         0.000         0.000         0.000
X2             0.000         0.000         0.000         0.000         0.000

THETA
Y6            X1            X2
________      ________      ________
Y6             3.674
X1             0.000         0.000
X2             0.000         0.000         0.000

ALPHA
FW1           FW2           X1            X2
________      ________      ________      ________
0.000         0.000         0.000         0.000

BETA
FW1           FW2           X1            X2
________      ________      ________      ________
FW1            0.000         0.000         0.000         0.000
FW2            0.000         0.000         0.000         0.000
X1             0.000         0.000         0.000         0.000
X2             0.000         0.000         0.000         0.000

PSI
FW1           FW2           X1            X2
________      ________      ________      ________
FW1            0.050
FW2            0.000         0.050
X1             0.000         0.000         0.499
X2             0.000         0.000         0.000         0.497

STARTING VALUES FOR BETWEEN LEVEL2

NU
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
0.000         0.000         0.000         0.000         0.000

NU
Y6            W
________      ________
0.000         0.000

LAMBDA
FB2           S%B2          W
________      ________      ________
Y1             1.000         0.000         0.000
Y2             1.000         0.000         0.000
Y3             1.000         0.000         0.000
Y4             1.000         0.000         0.000
Y5             1.000         0.000         0.000
Y6             1.000         0.000         0.000
W              0.000         0.000         1.000

THETA
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
Y1             3.129
Y2             0.000         3.088
Y3             0.000         0.000         3.076
Y4             0.000         0.000         0.000         3.769
Y5             0.000         0.000         0.000         0.000         3.689
Y6             0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

THETA
Y6            W
________      ________
Y6             3.674
W              0.000         0.000

ALPHA
FB2           S%B2          W
________      ________      ________
0.000         0.000         0.000

BETA
FB2           S%B2          W
________      ________      ________
FB2            0.000         0.000         0.000
S%B2           0.000         0.000         0.000
W              0.000         0.000         0.000

PSI
FB2           S%B2          W
________      ________      ________
FB2            0.050
S%B2           0.000         1.000
W              0.000         0.000         0.498

STARTING VALUES FOR BETWEEN LEVEL3

NU
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
0.591         0.579         0.620         0.648         0.528

NU
Y6            Z
________      ________
0.591         0.000

LAMBDA
FB3           S%B3          SF2           SS            Z
________      ________      ________      ________      ________
Y1             1.000         0.000         0.000         0.000         0.000
Y2             1.000         0.000         0.000         0.000         0.000
Y3             1.000         0.000         0.000         0.000         0.000
Y4             1.000         0.000         0.000         0.000         0.000
Y5             1.000         0.000         0.000         0.000         0.000
Y6             1.000         0.000         0.000         0.000         0.000
Z              0.000         0.000         0.000         0.000         1.000

THETA
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
Y1             3.129
Y2             0.000         3.088
Y3             0.000         0.000         3.076
Y4             0.000         0.000         0.000         3.769
Y5             0.000         0.000         0.000         0.000         3.689
Y6             0.000         0.000         0.000         0.000         0.000
Z              0.000         0.000         0.000         0.000         0.000

THETA
Y6            Z
________      ________
Y6             3.674
Z              0.000         0.000

ALPHA
FB3           S%B3          SF2           SS            Z
________      ________      ________      ________      ________
0.000         0.000         0.000         0.000         0.000

BETA
FB3           S%B3          SF2           SS            Z
________      ________      ________      ________      ________
FB3            0.000         0.000         0.000         0.000         0.000
S%B3           0.000         0.000         0.000         0.000         0.000
SF2            0.000         0.000         0.000         0.000         0.000
SS             0.000         0.000         0.000         0.000         0.000
Z              0.000         0.000         0.000         0.000         0.000

PSI
FB3           S%B3          SF2           SS            Z
________      ________      ________      ________      ________
FB3            0.050
S%B3           0.000         1.000
SF2            0.000         0.000         1.000
SS             0.000         0.000         0.000         1.000
Z              0.000         0.000         0.000         0.000         0.420

TECHNICAL 8 OUTPUT

E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
1 -0.92332101D+05    0.0000000    0.0000000  EM
2 -0.82319921D+05 ************    0.1084366  EM
3 -0.81093001D+05 1226.9206591    0.0149043  EM
4 -0.80954553D+05  138.4478685    0.0017073  EM
5 -0.80925422D+05   29.1303221    0.0003598  EM
6 -0.80916610D+05    8.8123365    0.0001089  EM
7 -0.80913612D+05    2.9980612    0.0000371  EM
8 -0.80912536D+05    1.0757368    0.0000133  EM
9 -0.80912137D+05    0.3993450    0.0000049  EM
10 -0.80911985D+05    0.1521575    0.0000019  EM
11 -0.80911926D+05    0.0592601    0.0000007  EM
12 -0.80911902D+05    0.0235604    0.0000003  EM
13 -0.80911892D+05    0.0095357    0.0000001  EM
14 -0.80911889D+05    0.0039312    0.0000000  EM
15 -0.80911887D+05    0.0016486    0.0000000  EM
16 -0.80911886D+05    0.0007044    0.0000000  EM

Beginning Time:  04:54:10
Ending Time:  04:54:16
Elapsed Time:  00:00:06

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