Applied Latent Class Analysis, Chapter 9 | Mplus Textbook Examples

Mplus Textbook Examples
Applied Latent Class Analysis
Chapter 9 Directed Loglinear Modeling with Latent Variables
Causal Models for Cateogrical Data with Nonsystematic and Systematic Measurement
Errors By Jacques A. Hagenaars

The data set can be downloaded here.

Table 2 on page 238.

Model 1: (YZ, YA, YB, ZC, ZD, YE)

 Data:
    File is d:alcahttps://stats.idre.ucla.edu/wp-content/uploads/2016/02/table1_chap9.dat ;
  Variable:
    Names are
       a b c d e freq;
    Missing are all (-9999) ;
    usev are a b c d e freq;
    weight is freq (freq);
    categorical are a b c d e;
    classes = y(3) z(3); !y represents system involvement
                         !z represents protest tolerance

  Analysis:
    Type = mixture ;
    parameterization = loglinear;
    starts = 50 5;
  model:
    %overall%
    z#1 with y#1 ;
    z#2 with y#1 ;
    z#1 with y#2 ;
    z#2 with y#2 ;

  model y:

    %y#1%
    [a$1*-1 b$1*-1 e$1*-1];
    [a$2*2 e$2*2];

    %y#2%
    [a$1*4 b$1*4 e$1*4];
    [a$2*8 e$2*8];

   %y#3%
    [a$1*9 b$1*9 e$1*9];
    [a$2*10 e$2*10];

  model z:

    %z#1%
    [c$1*-5 d$1*-5];
    [c$2*0 d$2*0];

    %z#2%
    [c$1*5 d$1*5];
    [c$2*10 d$2*10];

    %z#3%

    [c$1*11 d$1*11];
    [c$2*12 d$2*12];

TESTS OF MODEL FIT

Loglikelihood

          H0 Value                       -6641.231

Information Criteria

          Number of Free Parameters             35
          Akaike (AIC)                   13352.462
          Bayesian (BIC)                 13536.923
          Sample-Size Adjusted BIC       13425.740
            (n* = (n + 2) / 24)
          Entropy                            0.560

Chi-Square Test of Model Fit for the Binary and Ordered Categorical
(Ordinal) Outcomes

          Pearson Chi-Square

          Value                            135.421
          Degrees of Freedom                   126
          P-Value                           0.2673

          Likelihood Ratio Chi-Square

          Value                            146.560
          Degrees of Freedom                   126
          P-Value                           0.1017

Model 2: All relationship linear by linear