Mplus Textbook Examples
Multilevel Analysis by Tom Snijders and Roel Bosker
Chapter 14: Discrete Dependent Variables


Table 14.1 on page 214, intercept only model. Since there is no within variance at level-1, there is no within statement in this model.
  Title: multilevel logistic regression
  Data:
    File is ch14_1.dat ;
  Variable:
    Names are
       respnr ltbm eltwm sex age edu relserv class reg cohab;
    Missing are all (-9999) ;
    usevar are cohab reg;
    categorical is cohab;
    cluster is reg;
  Analysis:
    Type = twolevel random  ;
  model:
     %between%
     cohab;
TESTS OF MODEL FIT
Loglikelihood
          H0 Value                       -1420.493
Information Criteria
          Number of Free Parameters              2
          Akaike (AIC)                    2844.986
          Bayesian (BIC)                  2856.266
          Sample-Size Adjusted BIC        2849.912
            (n* = (n + 2) / 24)

MODEL RESULTS
                   Estimates     S.E.  Est./S.E.
Within Level
Between Level
 Thresholds
    COHAB$1            0.278    0.062      4.442
 Variances
    COHAB              0.032    0.019      1.635

Table 14.2 on page 217, model 1.
  Title: multilevel logistic regression
  Data:
    File is ch14_1.dat ;
  Variable:
    Names are
       respnr ltbm eltwm sex age edu relserv class reg cohab;
    Missing are all (-9999) ;
    usevar are cohab reg  agec agec2 age3 age4 ;
    within are agec agec2 age3 age4 ;
    categorical is cohab;
    cluster is reg;
  Define:
      agec = age - 20;
      agec2 = (age-20)**2;
      IF (age>30) THEN age3 = (age-30)**2;
      IF (age <=30) THEN age3 = 0;
      IF (age > 40) THEN age4 = (age-40)**2;
      IF (age <=40) THEN age4 = 0;
  Analysis:
    Type = twolevel random  ;
  model:
     %within% 
     cohab on agec agec2 age3 age4 ;
     %between%
     cohab;
TESTS OF MODEL FIT
Loglikelihood
          H0 Value                       -1123.849
Information Criteria
          Number of Free Parameters              6
          Akaike (AIC)                    2259.697
          Bayesian (BIC)                  2293.535
          Sample-Size Adjusted BIC        2274.473
            (n* = (n + 2) / 24)

MODEL RESULTS
                   Estimates     S.E.  Est./S.E.
Within Level
 COHAB      ON
    AGEC               0.545    0.044     12.408
    AGEC2             -0.029    0.003     -8.800
    AGE3               0.024    0.005      4.760
    AGE4               0.007    0.002      3.150
Between Level
 Thresholds
    COHAB$1            1.214    0.157      7.755
 Variances
    COHAB              0.063    0.024      2.605

Table 14.2 on page 217, model 2.

  Title: multilevel logistic regression
  Data:
    File is ch14_1.dat ;
  Variable:
    Names are
       respnr ltbm eltwm sex age edu relserv class reg cohab;
    Missing are all (-9999) ;
    usevar are cohab reg  agec agec2 age3 age4 religion;
    within are agec agec2 age3 age4 religion;
    categorical is cohab;
    cluster is reg;
  Define:
      agec = age - 20;
      agec2 = (age-20)**2;
      IF (age>30) THEN age3 = (age-30)**2;
      IF (age <=30) THEN age3 = 0;
      IF (age > 40) THEN age4 = (age-40)**2;
      IF (age <=40) THEN age4 = 0;
      IF (relserv <3.5) THEN religion = 1;
      if (relserv >=3.5) THEN religion = 0;
  Analysis:
    Type = twolevel random  ;
  model:
     %within% 
     cohab on agec agec2 age3 age4 religion;
     %between%
     cohab;
TESTS OF MODEL FIT
Loglikelihood
          H0 Value                       -1085.620
Information Criteria
          Number of Free Parameters              7
          Akaike (AIC)                    2185.240
          Bayesian (BIC)                  2224.717
          Sample-Size Adjusted BIC        2202.477
            (n* = (n + 2) / 24)

MODEL RESULTS
                   Estimates     S.E.  Est./S.E.
Within Level
 COHAB      ON
    AGEC               0.549    0.044     12.338
    AGEC2             -0.029    0.003     -8.409
    AGE3               0.024    0.005      4.388
    AGE4               0.008    0.002      3.243
    RELIGION          -1.870    0.224     -8.344
Between Level
 Thresholds
    COHAB$1            1.117    0.154      7.262
 Variances
    COHAB              0.051    0.025      2.070

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