Mplus vs Multilog in 2PL IRT

 

This is an example result of IRT analysis using MPLUS and Multilog.  

DATASET

1. MPLUS Syntax & Output

lsat-mplus.dat | lsat-multilog.MLG

2. MULTILOG  Syntax & Output
lsat-multilog.dat | lsatmplus.inp

 

MPLUS

MPLUS SYNTAX

TITLE:  Analisis Teori Respons Butir MPLUS (GRM)  
DATA:   FILE IS lsat-mplus.dat;
VARIABLE:   NAMES ARE a01-a05 freq;
            FREQWEIGHT IS freq;
            MISSING ARE ALL (-9);
            USEVARIABLE ARE a01-a05;
            CATEGORICAL ARE a01-a05;
ANALYSIS:   ESTIMATOR IS ML;
            LINK IS LOGIT; 
MODEL:  
F1 BY a01-a05*;
!F1 BY a01@1 a02-a05;
    [a01$1-a05$1*]
[F1@0]; F1@1;
OUTPUT:     STAND;
PLOT:   TYPE IS PLOT1; ! Perintah Plot untuk deskriptif
        TYPE IS PLOT2; ! Perintah Plot untuk kurva IRT
        TYPE IS PLOT3; ! Perintah Plot untuk nilai theta
 

MPLUS OUTPUT.

MODEL RESULTS
                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value
 F1       BY
    A01                0.825      0.258      3.198      0.001
    A02                0.722      0.186      3.872      0.000
    A03                0.891      0.233      3.826      0.000
    A04                0.688      0.185      3.718      0.000
    A05                0.659      0.210      3.133      0.002
 Means
    F1                 0.000      0.000    999.000    999.000
 Thresholds
    A01$1             -2.773      0.206    -13.482      0.000
    A02$1             -0.990      0.090    -11.005      0.000
    A03$1             -0.249      0.076     -3.266      0.001
    A04$1             -1.285      0.099    -12.977      0.000
    A05$1             -2.054      0.136    -15.148      0.000
 Variances
    F1                 1.000      0.000    999.000    999.000

IRT PARAMETERIZATION IN TWO-PARAMETER LOGISTIC METRIC
WHERE THE LOGIT IS 1.7*DISCRIMINATION*(THETA - DIFFICULTY)
 Item Discriminations
 F1       BY
    A01                0.486      0.152      3.198      0.001
    A02                0.425      0.110      3.872      0.000
    A03                0.524      0.137      3.826      0.000
    A04                0.405      0.109      3.718      0.000
    A05                0.387      0.124      3.133      0.002
 Means
    F1                 0.000      0.000      0.000      1.000
 Item Difficulties
    A01$1             -3.360      0.867     -3.875      0.000
    A02$1             -1.371      0.308     -4.455      0.000
    A03$1             -0.280      0.100     -2.807      0.005
    A04$1             -1.868      0.435     -4.296      0.000
    A05$1             -3.119      0.868     -3.595      0.000
 Variances
    F1                 1.000      0.000      0.000      1.000

      

MULTILOG

Syntax Analysis

         

       MML PARAMETER ESTIMATION FOR THE 2PL MODEL, LSAT DATA
>PROBLEM RANDOM, PATTERN, NITEMS=5, NGROUPS=1, NPATTERNS=32,
DATA='lsat-multilog.DAT';
>TEST ALL, L2;
>SAVE;
>END;
2
01
11111
N
(4X,5A1,F4.0)
< h4 align = "left" >
      

Syntax Analysis

         

       OUTPUT ANALYSIS
 
ITEM 1: 2 GRADED CATEGORIES
P(#) ESTIMATE (S.E.)
A 1 0.82 (0.18)
B( 1) 2 -3.36 (0.62)
@THETA: INFORMATION: (Theta values increase in steps of 0.2)
-3.0 - -1.6 0.166 0.161 0.154 0.146 0.136 0.126 0.115 0.104
-1.4 - 0.0 0.094 0.084 0.074 0.065 0.057 0.050 0.043 0.038
0.2 - 1.6 0.032 0.028 0.024 0.021 0.018 0.015 0.013 0.011
1.8 - 3.0 0.009 0.008 0.007 0.006 0.005 0.004 0.004
OBSERVED AND EXPECTED COUNTS/PROPORTIONS IN
CATEGORY(K): 1 2
OBS. FREQ. 76 924
OBS. PROP. 0.0760 0.9240
EXP. PROP. 0.0760 0.9240
         

       ITEM 2: 2 GRADED CATEGORIES
P(#) ESTIMATE (S.E.)
A 3 0.72 (0.11)
B( 1) 4 -1.37 (0.21)
@THETA: INFORMATION: (Theta values increase in steps of 0.2)
-3.0 - -1.6 0.094 0.101 0.108 0.115 0.120 0.125 0.128 0.130
-1.4 - 0.0 0.131 0.131 0.129 0.126 0.122 0.116 0.110 0.104
0.2 - 1.6 0.097 0.089 0.082 0.075 0.068 0.061 0.055 0.049
1.8 - 3.0 0.044 0.039 0.034 0.030 0.027 0.023 0.020
OBSERVED AND EXPECTED COUNTS/PROPORTIONS IN
CATEGORY(K): 1 2
OBS. FREQ. 291 709
OBS. PROP. 0.2910 0.7090
EXP. PROP. 0.2910 0.7090
         

         

<   /pre > 

COMPARISON

 

Multilog
 
MPLUS
a
b
 
a
b
0.824
-3.363
 
0.825
-2.773
0.725
-1.367
 
0.722
-0.99
0.885
-0.281
 
0.891
-0.249
0.690
-1.862
 
0.688
-1.285
0.660
-3.113
 
0.659
-2.054

 

 

 

 

 

< pre>  
< /dt >
< pre>   < /dt >
< pre>   < /dt >
  a=Item Discriminations
  b=Item Difficulties

 

Wahyu Widhiarso | Fakultas Psikologi UGM

http://wahyupsy.blog.ugm.ac.id

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This Web Page Created with PageBreeze Free HTML Editor