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Mplus VERSION 8.7 (Mac)
MUTHEN & MUTHEN
05/20/2024 3:34 PM
INPUT INSTRUCTIONS
TITLE:
Multinomial regression brand on female;
DATA:
FILE = "/Users/nkpiz/IMMERSE_Day-5/basic.dat";
VARIABLE:
NAMES = brand female age;
MISSING=.;
usevar = brand female;
Nominal are brand;
ANALYSIS:
estimator = MLR;
MODEL:
brand on female;
OUTPUT:
sampstat crosstabs residual cinterval tech1 svalues;
INPUT READING TERMINATED NORMALLY
Multinomial regression brand on female;
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 735
Number of dependent variables 1
Number of independent variables 1
Number of continuous latent variables 0
Observed dependent variables
Unordered categorical (nominal)
BRAND
Observed independent variables
FEMALE
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
Maximum number of iterations for H1 2000
Convergence criterion for H1 0.100D-03
Optimization algorithm EMA
Integration Specifications
Type STANDARD
Number of integration points 15
Dimensions of numerical integration 0
Adaptive quadrature ON
Cholesky OFF
Input data file(s)
/Users/nkpiz/IMMERSE_Day-5/basic.dat
Input data format FREE
SUMMARY OF DATA
COVARIANCE COVERAGE OF DATA
Minimum covariance coverage value 0.100
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
BRAND
Category 1 0.282 207.000
Category 2 0.418 307.000
Category 3 0.301 221.000
CROSSTABS FOR CATEGORICAL VARIABLES
SAMPLE STATISTICS
SAMPLE STATISTICS
Means
FEMALE
________
0.634
Covariances
FEMALE
________
FEMALE 0.232
Correlations
FEMALE
________
FEMALE 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
FEMALE 0.634 -0.556 0.000 36.60% 0.000 1.000 1.000
735.000 0.232 -1.690 1.000 63.40% 1.000 1.000
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 4
Loglikelihood
H0 Value -791.861
H0 Scaling Correction Factor 1.0000
for MLR
Information Criteria
Akaike (AIC) 1591.723
Bayesian (BIC) 1610.122
Sample-Size Adjusted BIC 1597.421
(n* = (n + 2) / 24)
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
BRAND#1 ON
FEMALE -0.383 0.198 -1.930 0.054
BRAND#2 ON
FEMALE 0.136 0.186 0.731 0.465
Intercepts
BRAND#1 0.165 0.154 1.073 0.283
BRAND#2 0.238 0.151 1.575 0.115
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.328E-01
(ratio of smallest to largest eigenvalue)
LOGISTIC REGRESSION ODDS RATIO RESULTS
95% C.I.
Estimate S.E. Lower 2.5% Upper 2.5%
BRAND#1 ON
FEMALE 0.682 0.135 0.462 1.006
BRAND#2 ON
FEMALE 1.146 0.214 0.795 1.651
CONFIDENCE INTERVALS OF MODEL RESULTS
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
BRAND#1 ON
FEMALE -0.894 -0.772 -0.709 -0.383 -0.057 0.006 0.128
BRAND#2 ON
FEMALE -0.344 -0.229 -0.170 0.136 0.443 0.502 0.616
Intercepts
BRAND#1 -0.231 -0.137 -0.088 0.165 0.418 0.467 0.562
BRAND#2 -0.152 -0.058 -0.011 0.238 0.487 0.535 0.628
CONFIDENCE INTERVALS FOR THE LOGISTIC REGRESSION ODDS RATIO RESULTS
BRAND#1 ON
FEMALE 0.409 0.462 0.492 0.682 0.945 1.006 1.137
BRAND#2 ON
FEMALE 0.709 0.795 0.843 1.146 1.557 1.651 1.852
MODEL COMMAND WITH FINAL ESTIMATES USED AS STARTING VALUES
brand#1 ON female*-0.38299;
brand#2 ON female*0.13628;
[ brand#1*0.16508 ];
[ brand#2*0.23841 ];
RESIDUAL OUTPUT
RESIDUAL OUTPUT IS NOT AVAILABLE FOR THIS MODEL. ADDITIONAL OUTPUT FOR
CATEGORICAL, COUNT, AND NOMINAL VARIABLES MAY BE AVAILABLE USING TECH10.
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
BRAND#1 BRAND#2 FEMALE
________ ________ ________
0 0 0
LAMBDA
BRAND#1 BRAND#2 FEMALE
________ ________ ________
BRAND#1 0 0 0
BRAND#2 0 0 0
FEMALE 0 0 0
THETA
BRAND#1 BRAND#2 FEMALE
________ ________ ________
BRAND#1 0
BRAND#2 0 0
FEMALE 0 0 0
ALPHA
BRAND#1 BRAND#2 FEMALE
________ ________ ________
1 2 0
BETA
BRAND#1 BRAND#2 FEMALE
________ ________ ________
BRAND#1 0 0 3
BRAND#2 0 0 4
FEMALE 0 0 0
PSI
BRAND#1 BRAND#2 FEMALE
________ ________ ________
BRAND#1 0
BRAND#2 0 0
FEMALE 0 0 0
STARTING VALUES
NU
BRAND#1 BRAND#2 FEMALE
________ ________ ________
0.000 0.000 0.000
LAMBDA
BRAND#1 BRAND#2 FEMALE
________ ________ ________
BRAND#1 1.000 0.000 0.000
BRAND#2 0.000 1.000 0.000
FEMALE 0.000 0.000 1.000
THETA
BRAND#1 BRAND#2 FEMALE
________ ________ ________
BRAND#1 0.000
BRAND#2 0.000 0.000
FEMALE 0.000 0.000 0.000
ALPHA
BRAND#1 BRAND#2 FEMALE
________ ________ ________
-0.065 0.329 0.000
BETA
BRAND#1 BRAND#2 FEMALE
________ ________ ________
BRAND#1 0.000 0.000 0.000
BRAND#2 0.000 0.000 0.000
FEMALE 0.000 0.000 0.000
PSI
BRAND#1 BRAND#2 FEMALE
________ ________ ________
BRAND#1 0.000
BRAND#2 0.000 0.000
FEMALE 0.000 0.000 0.116
Beginning Time: 15:34:44
Ending Time: 15:34:44
Elapsed Time: 00:00:00
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