```Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  10:22 PM

INPUT INSTRUCTIONS

title:	this is an example of an exploratory
factor analysis with continuous
factor indicators
montecarlo:
names = y1-y12;
nobs = 500;
nreps = 1;
save = ex4.1a.dat;

model population:
f1 by y1-y3*.7;
f2 by y4-y6*.7;
f3 by y7-y9*.7;
f4 by y10-y12*.7;
y1-y12*.51;
!this gives unit y variances so that
!EFA estimates are in the same metric
f1-f4@1;

model:
f1 by y1-y3*.7;
f2 by y4-y6*.7;
f3 by y7-y9*.7;
f4 by y10-y12*.7;
y1-y12*.51;
f1-f4@1;

output:
tech9;

this is an example of an exploratory
factor analysis with continuous
factor indicators

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of replications
Requested                                                    1
Completed                                                    1
Value of seed                                                    0

Number of dependent variables                                   12
Number of independent variables                                  0
Number of continuous latent variables                            4

Observed dependent variables

Continuous
Y1          Y2          Y3          Y4          Y5          Y6
Y7          Y8          Y9          Y10         Y11         Y12

Continuous latent variables
F1          F2          F3          F4

Estimator                                                       ML
Information matrix                                        OBSERVED
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20

SAMPLE STATISTICS FOR THE FIRST REPLICATION

SAMPLE STATISTICS

Means
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
0.008         0.033         0.003         0.073         0.063

Means
Y6            Y7            Y8            Y9            Y10
________      ________      ________      ________      ________
0.062        -0.004         0.009         0.021        -0.037

Means
Y11           Y12
________      ________
0.002        -0.002

Covariances
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
Y1             0.958
Y2             0.507         1.015
Y3             0.386         0.500         0.959
Y4            -0.019         0.008         0.017         1.020
Y5             0.000        -0.030        -0.102         0.489         0.990
Y6            -0.017        -0.005        -0.021         0.462         0.525
Y7             0.064        -0.002        -0.058         0.023         0.009
Y8             0.044        -0.046        -0.044         0.028        -0.001
Y9             0.062         0.051        -0.013        -0.011        -0.018
Y10           -0.056        -0.004        -0.029        -0.055        -0.030
Y11           -0.004         0.030        -0.022        -0.067        -0.062
Y12           -0.008         0.060         0.010        -0.107        -0.080

Covariances
Y6            Y7            Y8            Y9            Y10
________      ________      ________      ________      ________
Y6             1.071
Y7             0.016         1.031
Y8             0.038         0.539         0.993
Y9             0.062         0.513         0.498         0.952
Y10           -0.104        -0.003        -0.035        -0.024         1.142
Y11           -0.058        -0.003        -0.017        -0.029         0.612
Y12           -0.072        -0.001        -0.038         0.018         0.494

Covariances
Y11           Y12
________      ________
Y11            1.097
Y12            0.558         1.037

Correlations
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
Y1             1.000
Y2             0.514         1.000
Y3             0.403         0.506         1.000
Y4            -0.019         0.008         0.017         1.000
Y5             0.000        -0.030        -0.104         0.487         1.000
Y6            -0.017        -0.005        -0.021         0.442         0.510
Y7             0.065        -0.001        -0.059         0.022         0.009
Y8             0.045        -0.046        -0.046         0.028        -0.002
Y9             0.065         0.052        -0.013        -0.011        -0.018
Y10           -0.053        -0.004        -0.027        -0.051        -0.028
Y11           -0.003         0.028        -0.021        -0.063        -0.060
Y12           -0.008         0.058         0.010        -0.105        -0.079

Correlations
Y6            Y7            Y8            Y9            Y10
________      ________      ________      ________      ________
Y6             1.000
Y7             0.016         1.000
Y8             0.037         0.533         1.000
Y9             0.061         0.517         0.512         1.000
Y10           -0.094        -0.003        -0.033        -0.023         1.000
Y11           -0.053        -0.003        -0.016        -0.029         0.547
Y12           -0.069        -0.001        -0.037         0.018         0.454

Correlations
Y11           Y12
________      ________
Y11            1.000
Y12            0.523         1.000

MODEL FIT INFORMATION

Number of Free Parameters                       42

Loglikelihood

H0 Value

Mean                             -7878.959
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000        -7878.959      -7878.959
0.980       0.000        -7878.959      -7878.959
0.950       0.000        -7878.959      -7878.959
0.900       0.000        -7878.959      -7878.959
0.800       0.000        -7878.959      -7878.959
0.700       0.000        -7878.959      -7878.959
0.500       0.000        -7878.959      -7878.959
0.300       0.000        -7878.959      -7878.959
0.200       0.000        -7878.959      -7878.959
0.100       0.000        -7878.959      -7878.959
0.050       0.000        -7878.959      -7878.959
0.020       0.000        -7878.959      -7878.959
0.010       0.000        -7878.959      -7878.959

H1 Value

Mean                             -7856.478
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000        -7856.478      -7856.478
0.980       0.000        -7856.478      -7856.478
0.950       0.000        -7856.478      -7856.478
0.900       0.000        -7856.478      -7856.478
0.800       0.000        -7856.478      -7856.478
0.700       0.000        -7856.478      -7856.478
0.500       0.000        -7856.478      -7856.478
0.300       0.000        -7856.478      -7856.478
0.200       0.000        -7856.478      -7856.478
0.100       0.000        -7856.478      -7856.478
0.050       0.000        -7856.478      -7856.478
0.020       0.000        -7856.478      -7856.478
0.010       0.000        -7856.478      -7856.478

Information Criteria

Akaike (AIC)

Mean                             15841.919
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000        15841.919      15841.919
0.980       0.000        15841.919      15841.919
0.950       0.000        15841.919      15841.919
0.900       0.000        15841.919      15841.919
0.800       0.000        15841.919      15841.919
0.700       0.000        15841.919      15841.919
0.500       0.000        15841.919      15841.919
0.300       0.000        15841.919      15841.919
0.200       0.000        15841.919      15841.919
0.100       0.000        15841.919      15841.919
0.050       0.000        15841.919      15841.919
0.020       0.000        15841.919      15841.919
0.010       0.000        15841.919      15841.919

Bayesian (BIC)

Mean                             16018.932
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000        16018.932      16018.932
0.980       0.000        16018.932      16018.932
0.950       0.000        16018.932      16018.932
0.900       0.000        16018.932      16018.932
0.800       0.000        16018.932      16018.932
0.700       0.000        16018.932      16018.932
0.500       0.000        16018.932      16018.932
0.300       0.000        16018.932      16018.932
0.200       0.000        16018.932      16018.932
0.100       0.000        16018.932      16018.932
0.050       0.000        16018.932      16018.932
0.020       0.000        16018.932      16018.932
0.010       0.000        16018.932      16018.932

Sample-Size Adjusted BIC (n* = (n + 2) / 24)

Mean                             15885.622
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000        15885.622      15885.622
0.980       0.000        15885.622      15885.622
0.950       0.000        15885.622      15885.622
0.900       0.000        15885.622      15885.622
0.800       0.000        15885.622      15885.622
0.700       0.000        15885.622      15885.622
0.500       0.000        15885.622      15885.622
0.300       0.000        15885.622      15885.622
0.200       0.000        15885.622      15885.622
0.100       0.000        15885.622      15885.622
0.050       0.000        15885.622      15885.622
0.020       0.000        15885.622      15885.622
0.010       0.000        15885.622      15885.622

Chi-Square Test of Model Fit

Degrees of freedom                      48

Mean                                44.963
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       1.000           28.177         44.963
0.980       1.000           30.080         44.963
0.950       1.000           33.098         44.963
0.900       1.000           35.949         44.963
0.800       1.000           39.621         44.963
0.700       1.000           42.420         44.963
0.500       0.000           47.335         44.963
0.300       0.000           52.616         44.963
0.200       0.000           55.993         44.963
0.100       0.000           60.907         44.963
0.050       0.000           65.171         44.963
0.020       0.000           70.197         44.963
0.010       0.000           73.683         44.963

RMSEA (Root Mean Square Error Of Approximation)

Mean                                 0.000
Std Dev                              0.000
Number of successful computations        1

Cumulative Distribution Function
Value    Function Value
0.990       1.000
0.980       1.000
0.950       1.000
0.900       1.000
0.800       1.000
0.700       1.000
0.500       1.000
0.300       1.000
0.200       1.000
0.100       1.000
0.050       1.000
0.020       1.000
0.010       1.000

CFI/TLI

CFI

Mean                                 1.000
Std Dev                              0.000
Number of successful computations        1

Cumulative Distribution Function
Value    Function Value
0.990       0.000
0.980       0.000
0.950       0.000
0.900       0.000
0.800       0.000
0.700       0.000
0.500       0.000
0.300       0.000
0.200       0.000
0.100       0.000
0.050       0.000
0.020       0.000
0.010       0.000

TLI

Mean                                 1.000
Std Dev                              0.000
Number of successful computations        1

Cumulative Distribution Function
Value    Function Value
0.990       0.000
0.980       0.000
0.950       0.000
0.900       0.000
0.800       0.000
0.700       0.000
0.500       0.000
0.300       0.000
0.200       0.000
0.100       0.000
0.050       0.000
0.020       0.000
0.010       0.000

SRMR (Standardized Root Mean Square Residual)

Mean                                 0.024
Std Dev                              0.000
Number of successful computations        1

Cumulative Distribution Function
Value    Function Value
0.990       1.000
0.980       1.000
0.950       1.000
0.900       1.000
0.800       1.000
0.700       1.000
0.500       1.000
0.300       1.000
0.200       1.000
0.100       1.000
0.050       1.000
0.020       0.000
0.010       0.000

MODEL RESULTS

ESTIMATES              S. E.     M. S. E.  95%  % Sig
Population   Average   Std. Dev.   Average             Cover Coeff

F1       BY
Y1                  0.700     0.6268     0.0000     0.0477     0.0054 1.000 1.000
Y2                  0.700     0.8089     0.0000     0.0513     0.0119 0.000 1.000
Y3                  0.700     0.6175     0.0000     0.0476     0.0068 1.000 1.000

F2       BY
Y4                  0.700     0.6568     0.0000     0.0487     0.0019 1.000 1.000
Y5                  0.700     0.7438     0.0000     0.0490     0.0019 1.000 1.000
Y6                  0.700     0.7054     0.0000     0.0502     0.0000 1.000 1.000

F3       BY
Y7                  0.700     0.7448     0.0000     0.0470     0.0020 1.000 1.000
Y8                  0.700     0.7241     0.0000     0.0462     0.0006 1.000 1.000
Y9                  0.700     0.6882     0.0000     0.0451     0.0001 1.000 1.000

F4       BY
Y10                 0.700     0.7367     0.0000     0.0500     0.0013 1.000 1.000
Y11                 0.700     0.8292     0.0000     0.0496     0.0167 0.000 1.000
Y12                 0.700     0.6738     0.0000     0.0476     0.0007 1.000 1.000

F2       WITH
F1                  0.000    -0.0382     0.0000     0.0597     0.0015 1.000 0.000

F3       WITH
F1                  0.000     0.0091     0.0000     0.0589     0.0001 1.000 0.000
F2                  0.000     0.0277     0.0000     0.0594     0.0008 1.000 0.000

F4       WITH
F1                  0.000     0.0105     0.0000     0.0587     0.0001 1.000 0.000
F2                  0.000    -0.1247     0.0000     0.0587     0.0155 0.000 1.000
F3                  0.000    -0.0274     0.0000     0.0582     0.0008 1.000 0.000

Intercepts
Y1                  0.000     0.0080     0.0000     0.0438     0.0001 1.000 0.000
Y2                  0.000     0.0334     0.0000     0.0451     0.0011 1.000 0.000
Y3                  0.000     0.0032     0.0000     0.0438     0.0000 1.000 0.000
Y4                  0.000     0.0735     0.0000     0.0452     0.0054 1.000 0.000
Y5                  0.000     0.0633     0.0000     0.0445     0.0040 1.000 0.000
Y6                  0.000     0.0622     0.0000     0.0463     0.0039 1.000 0.000
Y7                  0.000    -0.0035     0.0000     0.0454     0.0000 1.000 0.000
Y8                  0.000     0.0090     0.0000     0.0446     0.0001 1.000 0.000
Y9                  0.000     0.0208     0.0000     0.0436     0.0004 1.000 0.000
Y10                 0.000    -0.0369     0.0000     0.0478     0.0014 1.000 0.000
Y11                 0.000     0.0016     0.0000     0.0468     0.0000 1.000 0.000
Y12                 0.000    -0.0024     0.0000     0.0455     0.0000 1.000 0.000

Variances
F1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
F2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
F3                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
F4                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

Residual Variances
Y1                  0.510     0.5656     0.0000     0.0496     0.0031 1.000 1.000
Y2                  0.510     0.3611     0.0000     0.0618     0.0222 0.000 1.000
Y3                  0.510     0.5773     0.0000     0.0495     0.0045 1.000 1.000
Y4                  0.510     0.5884     0.0000     0.0519     0.0061 1.000 1.000
Y5                  0.510     0.4362     0.0000     0.0539     0.0054 1.000 1.000
Y6                  0.510     0.5736     0.0000     0.0553     0.0040 1.000 1.000
Y7                  0.510     0.4762     0.0000     0.0497     0.0011 1.000 1.000
Y8                  0.510     0.4691     0.0000     0.0478     0.0017 1.000 1.000
Y9                  0.510     0.4783     0.0000     0.0454     0.0010 1.000 1.000
Y10                 0.510     0.5997     0.0000     0.0555     0.0080 1.000 1.000
Y11                 0.510     0.4096     0.0000     0.0574     0.0101 1.000 1.000
Y12                 0.510     0.5832     0.0000     0.0503     0.0054 1.000 1.000

QUALITY OF NUMERICAL RESULTS

Average Condition Number for the Information Matrix      0.117E+00
(ratio of smallest to largest eigenvalue)

TECHNICAL OUTPUT

PARAMETER SPECIFICATION

NU
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
1             2             3             4             5

NU
Y6            Y7            Y8            Y9            Y10
________      ________      ________      ________      ________
6             7             8             9            10

NU
Y11           Y12
________      ________
11            12

LAMBDA
F1            F2            F3            F4
________      ________      ________      ________
Y1                13             0             0             0
Y2                14             0             0             0
Y3                15             0             0             0
Y4                 0            16             0             0
Y5                 0            17             0             0
Y6                 0            18             0             0
Y7                 0             0            19             0
Y8                 0             0            20             0
Y9                 0             0            21             0
Y10                0             0             0            22
Y11                0             0             0            23
Y12                0             0             0            24

THETA
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
Y1                25
Y2                 0            26
Y3                 0             0            27
Y4                 0             0             0            28
Y5                 0             0             0             0            29
Y6                 0             0             0             0             0
Y7                 0             0             0             0             0
Y8                 0             0             0             0             0
Y9                 0             0             0             0             0
Y10                0             0             0             0             0
Y11                0             0             0             0             0
Y12                0             0             0             0             0

THETA
Y6            Y7            Y8            Y9            Y10
________      ________      ________      ________      ________
Y6                30
Y7                 0            31
Y8                 0             0            32
Y9                 0             0             0            33
Y10                0             0             0             0            34
Y11                0             0             0             0             0
Y12                0             0             0             0             0

THETA
Y11           Y12
________      ________
Y11               35
Y12                0            36

ALPHA
F1            F2            F3            F4
________      ________      ________      ________
0             0             0             0

BETA
F1            F2            F3            F4
________      ________      ________      ________
F1                 0             0             0             0
F2                 0             0             0             0
F3                 0             0             0             0
F4                 0             0             0             0

PSI
F1            F2            F3            F4
________      ________      ________      ________
F1                 0
F2                37             0
F3                38            39             0
F4                40            41            42             0

STARTING VALUES

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

NU
Y6            Y7            Y8            Y9            Y10
________      ________      ________      ________      ________
0.000         0.000         0.000         0.000         0.000

NU
Y11           Y12
________      ________
0.000         0.000

LAMBDA
F1            F2            F3            F4
________      ________      ________      ________
Y1             0.700         0.000         0.000         0.000
Y2             0.700         0.000         0.000         0.000
Y3             0.700         0.000         0.000         0.000
Y4             0.000         0.700         0.000         0.000
Y5             0.000         0.700         0.000         0.000
Y6             0.000         0.700         0.000         0.000
Y7             0.000         0.000         0.700         0.000
Y8             0.000         0.000         0.700         0.000
Y9             0.000         0.000         0.700         0.000
Y10            0.000         0.000         0.000         0.700
Y11            0.000         0.000         0.000         0.700
Y12            0.000         0.000         0.000         0.700

THETA
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
Y1             0.510
Y2             0.000         0.510
Y3             0.000         0.000         0.510
Y4             0.000         0.000         0.000         0.510
Y5             0.000         0.000         0.000         0.000         0.510
Y6             0.000         0.000         0.000         0.000         0.000
Y7             0.000         0.000         0.000         0.000         0.000
Y8             0.000         0.000         0.000         0.000         0.000
Y9             0.000         0.000         0.000         0.000         0.000
Y10            0.000         0.000         0.000         0.000         0.000
Y11            0.000         0.000         0.000         0.000         0.000
Y12            0.000         0.000         0.000         0.000         0.000

THETA
Y6            Y7            Y8            Y9            Y10
________      ________      ________      ________      ________
Y6             0.510
Y7             0.000         0.510
Y8             0.000         0.000         0.510
Y9             0.000         0.000         0.000         0.510
Y10            0.000         0.000         0.000         0.000         0.510
Y11            0.000         0.000         0.000         0.000         0.000
Y12            0.000         0.000         0.000         0.000         0.000

THETA
Y11           Y12
________      ________
Y11            0.510
Y12            0.000         0.510

ALPHA
F1            F2            F3            F4
________      ________      ________      ________
0.000         0.000         0.000         0.000

BETA
F1            F2            F3            F4
________      ________      ________      ________
F1             0.000         0.000         0.000         0.000
F2             0.000         0.000         0.000         0.000
F3             0.000         0.000         0.000         0.000
F4             0.000         0.000         0.000         0.000

PSI
F1            F2            F3            F4
________      ________      ________      ________
F1             1.000
F2             0.000         1.000
F3             0.000         0.000         1.000
F4             0.000         0.000         0.000         1.000

POPULATION VALUES

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

NU
Y6            Y7            Y8            Y9            Y10
________      ________      ________      ________      ________
0.000         0.000         0.000         0.000         0.000

NU
Y11           Y12
________      ________
0.000         0.000

LAMBDA
F1            F2            F3            F4
________      ________      ________      ________
Y1             0.700         0.000         0.000         0.000
Y2             0.700         0.000         0.000         0.000
Y3             0.700         0.000         0.000         0.000
Y4             0.000         0.700         0.000         0.000
Y5             0.000         0.700         0.000         0.000
Y6             0.000         0.700         0.000         0.000
Y7             0.000         0.000         0.700         0.000
Y8             0.000         0.000         0.700         0.000
Y9             0.000         0.000         0.700         0.000
Y10            0.000         0.000         0.000         0.700
Y11            0.000         0.000         0.000         0.700
Y12            0.000         0.000         0.000         0.700

THETA
Y1            Y2            Y3            Y4            Y5
________      ________      ________      ________      ________
Y1             0.510
Y2             0.000         0.510
Y3             0.000         0.000         0.510
Y4             0.000         0.000         0.000         0.510
Y5             0.000         0.000         0.000         0.000         0.510
Y6             0.000         0.000         0.000         0.000         0.000
Y7             0.000         0.000         0.000         0.000         0.000
Y8             0.000         0.000         0.000         0.000         0.000
Y9             0.000         0.000         0.000         0.000         0.000
Y10            0.000         0.000         0.000         0.000         0.000
Y11            0.000         0.000         0.000         0.000         0.000
Y12            0.000         0.000         0.000         0.000         0.000

THETA
Y6            Y7            Y8            Y9            Y10
________      ________      ________      ________      ________
Y6             0.510
Y7             0.000         0.510
Y8             0.000         0.000         0.510
Y9             0.000         0.000         0.000         0.510
Y10            0.000         0.000         0.000         0.000         0.510
Y11            0.000         0.000         0.000         0.000         0.000
Y12            0.000         0.000         0.000         0.000         0.000

THETA
Y11           Y12
________      ________
Y11            0.510
Y12            0.000         0.510

ALPHA
F1            F2            F3            F4
________      ________      ________      ________
0.000         0.000         0.000         0.000

BETA
F1            F2            F3            F4
________      ________      ________      ________
F1             0.000         0.000         0.000         0.000
F2             0.000         0.000         0.000         0.000
F3             0.000         0.000         0.000         0.000
F4             0.000         0.000         0.000         0.000

PSI
F1            F2            F3            F4
________      ________      ________      ________
F1             1.000
F2             0.000         1.000
F3             0.000         0.000         1.000
F4             0.000         0.000         0.000         1.000

TECHNICAL 9 OUTPUT

Error messages for each replication (if any)

SAVEDATA INFORMATION

Order of variables

Y1
Y2
Y3
Y4
Y5
Y6
Y7
Y8
Y9
Y10
Y11
Y12

Save file
ex4.1a.dat

Save file format           Free
Save file record length    10000

Beginning Time:  22:22:38
Ending Time:  22:22:38
Elapsed Time:  00:00:00

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