```Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010  10:58 PM

INPUT INSTRUCTIONS

TITLE:
cont9

Getting basic statistics for multilevel modeling
before doing the actual modeling:
sample between- and within-covariance matrices
and intraclass correlations

Complex sample analysis,
multilevel modeling (disaggregated modeling).

In these data:

y6-y9, x1 and x2 are student (within)- level variables,
x3 and x4 are school (between)- level variables.

For related work, see, e.g.:

Muthen, B. (1994). Multilevel covariance structure analysis.
In J. Hox & I. Kreft (Eds.), Multilevel modeling,
a special issue of Sociological Methods & Research,
22, 376-398.

DATA:
FILE IS school.dat;

VARIABLE:
NAMES ARE x1 y1-y16 x2 school x3 x4;
USEV ARE y6-y9 x1 x2 x3 x4 school;
CLUSTER IS school;
BETWEEN ARE x3 x4;

!        note that the BETWEEN statement above is necessary to specify
!        that x3 and x4 are school-level variables. If this statement
!        is left out, and error will be printed pointing to zero
!        student-level (within) variances for x3 and x4

ANALYSIS:
TYPE = MEANSTRUCTURE TWOLEVEL BASIC;  ESTIMATOR=MUML;

!        the BASIC statement above indicates that sample statistics
!        are to be computed. No modeling is requested.
!        this is useful as an initial analysis step

*** WARNING in ANALYSIS command
Starting with Version 5, TYPE=MEANSTRUCTURE is the default for all
analyses.  To remove means from the model, use
MODEL=NOMEANSTRUCTURE in the ANALYSIS command.
1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS

cont9

Getting basic statistics for multilevel modeling
before doing the actual modeling:
sample between- and within-covariance matrices
and intraclass correlations

Complex sample analysis,
multilevel modeling (disaggregated modeling).

In these data:

y6-y9, x1 and x2 are student (within)- level variables,
x3 and x4 are school (between)- level variables.

For related work, see, e.g.:

Muthen, B. (1994). Multilevel covariance structure analysis.
In J. Hox & I. Kreft (Eds.), Multilevel modeling,
a special issue of Sociological Methods & Research,
22, 376-398.

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        5198

Number of dependent variables                                    8
Number of independent variables                                  0
Number of continuous latent variables                            0

Observed dependent variables

Continuous
X3          X4          Y6          Y7          Y8          Y9
X1          X2

Variables with special functions

Cluster variable      SCHOOL
Between variables
X3          X4

Estimator                                                     MUML
Information matrix                                        EXPECTED
Maximum number of iterations                                  1000
Convergence criterion                                    0.100D-05
Maximum number of steepest descent iterations                   20

Input data file(s)
school.dat

Input data format  FREE

SUMMARY OF DATA

Number of clusters                        235

Size (s)    Cluster ID with Size s

1        68114 68519
2        72872
7        72765
8        45991 72012 46238
9        68071
10        72187 7298
11        7105 72405 72463 52370
12        7737 68390 24083 68971
13        72049 45861 72219
14        72175 72176 25464 1755 68511 72148
15        45928 7915 78324 68023 25071 68748
16        77204 77219 72456 45362 7403 72415
17        7203 24948 7829 72612 7892 25835 7591 68155 68295 45502
68487 46911 45824
18        25074 72990 68328 25404 7348 72133 46119 25580 24910
68614
19        7332 25615 72799 68340 72956 25642 25658 24856 78283
68030 7671 1806 68662 68671 46277 46655 45385 7438
20        7451 68461 78162 78232 72170 25130 72617 72715 7211
25422 7330 72292 72060 72993 79993
21        77634 68448 45271 7584 25227 78598 45394 7193 68180
24589 7205 46301 25894 25958 68391 52995 77254
22        68648 72768 7192 7117 46485 7119 68753 24813 68254 69994
79388 79559 68397
23        68817 7792 78311 68048 68453 68456 25361 7157 46155
25702 25804 45620 24858 7658 46748 46803 25163 45041
77351 45183 77684 78101 68788
24        29394 7000 77403 24138 68297 78011 46417 25536 7778
72042 25360 25977 46966 45747 7616 78886 1249 77222
24053
25        25354 68427 72833 77268 7269 68520 69613 77537 72075
68906 79576 79790 68720
26        25848 72973 45555 24828 68315 46715 45087 25328 46891
77710
27        72080 45900 25208 45452 7103 45831 25618 68652
28        25666 46503 68809 25076 25224 68551
29        52888
30        45978 25722 45924 7434
31        77109 7230 68855 79061 79352
32        25178 52141
33        45330 25745 25402 25825
34        46540
35        25667 1846
36        72129 79389
37        79276 25834
38        45287
39        7090 46922 45197
42        46869
43        45366
46        79086
57        46344

Quasi-average cluster size       22.109

Estimated Intraclass Correlations for the Y Variables

Intraclass              Intraclass              Intraclass
Variable  Correlation   Variable  Correlation   Variable  Correlation

Y6           0.197      Y7           0.221      Y8           0.067
Y9           0.101      X1           0.344      X2           0.014

RESULTS FOR BASIC ANALYSIS

NOTE:  The sample between, sample within, and estimated sigma between
covariance matrices are defined in the Mplus Technical Appendices at
www.statmodel.com.  See between covariance matrix, within covariance
matrix, and estimated sigma between matrix in the index of the
Mplus User's Guide.

NUMBER OF CLUSTERS:    235

SAMPLE STATISTICS FOR BETWEEN

Means
X3            X4            Y6            Y7            Y8
________      ________      ________      ________      ________
1         4.630         1.170         2.482         2.608         2.160

Means
Y9            X1            X2
________      ________      ________
1         2.930         2.365         0.492

Covariances
X3            X4            Y6            Y7            Y8
________      ________      ________      ________      ________
X3            98.525
X4            -8.049         3.136
Y6           -16.261         1.363         7.007
Y7           -18.129         1.430         6.860         7.824
Y8           -10.044         0.245         3.871         4.038         4.378
Y9           -18.827         1.735         6.917         7.607         4.201
X1           -19.444         2.376         6.459         6.798         4.041
X2            -0.038        -0.019        -0.006         0.079         0.000

Covariances
Y9            X1            X2
________      ________      ________
Y9            11.363
X1             7.391         9.902
X2             0.119         0.036         0.325

Correlations
X3            X4            Y6            Y7            Y8
________      ________      ________      ________      ________
X3             1.000
X4            -0.458         1.000
Y6            -0.619         0.291         1.000
Y7            -0.653         0.289         0.926         1.000
Y8            -0.484         0.066         0.699         0.690         1.000
Y9            -0.563         0.291         0.775         0.807         0.596
X1            -0.623         0.426         0.775         0.772         0.614
X2            -0.007        -0.019        -0.004         0.050         0.000

Correlations
Y9            X1            X2
________      ________      ________
Y9             1.000
X1             0.697         1.000
X2             0.062         0.020         1.000

Covariances for the Estimated Sigma Between Matrix
X3            X4            Y6            Y7            Y8
________      ________      ________      ________      ________
X3             4.411
X4            -0.364         0.097
Y6            -0.736         0.062         0.268
Y7            -0.820         0.065         0.275         0.305
Y8            -0.454         0.011         0.152         0.158         0.121
Y9            -0.852         0.078         0.278         0.307         0.168
X1            -0.879         0.107         0.283         0.299         0.175
X2            -0.002        -0.001         0.000         0.003        -0.001

Covariances for the Estimated Sigma Between Matrix
Y9            X1            X2
________      ________      ________
Y9             0.366
X1             0.325         0.412
X2             0.003         0.001         0.004

Correlations for the Estimated Sigma Between Matrix
X3            X4            Y6            Y7            Y8
________      ________      ________      ________      ________
X3             1.000
X4            -0.558         1.000
Y6            -0.677         0.383         1.000
Y7            -0.707         0.377         0.962         1.000
Y8            -0.621         0.102         0.842         0.824         1.000
Y9            -0.670         0.417         0.889         0.920         0.797
X1            -0.652         0.538         0.851         0.842         0.784
X2            -0.014        -0.047        -0.010         0.079        -0.053

Correlations for the Estimated Sigma Between Matrix
Y9            X1            X2
________      ________      ________
Y9             1.000
X1             0.837         1.000
X2             0.085         0.023         1.000

SAMPLE STATISTICS FOR WITHIN

Means
X3            X4            Y6            Y7            Y8
________      ________      ________      ________      ________
1         0.000         0.000         0.000         0.000         0.000

Means
Y9            X1            X2
________      ________      ________
1         0.000         0.000         0.000

Covariances
X3            X4            Y6            Y7            Y8
________      ________      ________      ________      ________
X3             1.000
X4             0.000         1.000
Y6             0.000         0.000         1.092
Y7             0.000         0.000         0.785         1.078
Y8             0.000         0.000         0.520         0.536         1.699
Y9             0.000         0.000         0.768         0.813         0.491
X1             0.000         0.000         0.208         0.196         0.166
X2             0.000         0.000         0.001         0.022         0.025

Covariances
Y9            X1            X2
________      ________      ________
Y9             3.273
X1             0.201         0.788
X2             0.051         0.017         0.246

Correlations
X3            X4            Y6            Y7            Y8
________      ________      ________      ________      ________
X3             1.000
X4             0.000         1.000
Y6             0.000         0.000         1.000
Y7             0.000         0.000         0.724         1.000
Y8             0.000         0.000         0.382         0.396         1.000
Y9             0.000         0.000         0.406         0.433         0.208
X1             0.000         0.000         0.224         0.212         0.144
X2             0.000         0.000         0.003         0.043         0.038

Correlations
Y9            X1            X2
________      ________      ________
Y9             1.000
X1             0.125         1.000
X2             0.057         0.038         1.000

Beginning Time:  22:58:09
Ending Time:  22:58:09
Elapsed Time:  00:00:00

MUTHEN & MUTHEN
3463 Stoner Ave.
Los Angeles, CA  90066

Tel: (310) 391-9971
Fax: (310) 391-8971
Web: www.StatModel.com
Support: Support@StatModel.com

Copyright (c) 1998-2010 Muthen & Muthen
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