## Loading required package: sm
## Package `sm', version 2.2-5: type help(sm) for summary information
## Loading required package: ltm
## Loading required package: MASS
##
## Attaching package: 'MASS'
## The following object is masked from 'package:sm':
##
## muscle
## Loading required package: msm
## Loading required package: polycor
## Loading required package: mvtnorm
## Loading required package: sfsmisc
Mengolah hasil Test kemampuan dasar (1/0), terdiri dari 15 item dan 963 Responden dengan model 2PL hasilnya adalah :
## est sem n
## [1,] 1.262397 0.7535492 20
## [2,] 1.706801 0.7803066 20
## [3,] 1.706801 0.7803066 20
## [4,] 1.706801 0.7803066 20
## [5,] 1.706801 0.7803066 20
## [6,] 1.706801 0.7803066 20
Parameter dari Item
Sort Parameter Item berdasar Item Discrimination
## discrimination difficulty guessing
## A12 2.221 -1.921 0
## A6 1.199 -2.632 0
## A15 1.067 -1.173 0
## A1 1.008 -2.910 0
## A19 0.972 -2.688 0
## A13 0.961 -2.825 0
## A4 0.955 -0.664 0
## A3 0.875 -2.214 0
## A8 0.837 -0.576 0
## A18 0.731 4.123 0
## A9 0.710 -2.031 0
## A5 0.689 -3.439 0
## A14 0.644 -1.167 0
## A10 0.564 1.470 0
## A7 0.550 -3.374 0
## A17 0.463 1.498 0
## A20 0.373 -5.182 0
## A11 0.072 36.590 0
## A2 -0.022 8.719 0
## A16 -0.095 -18.159 0
Urutan dari Item Tersulit ke yang termudah
## discrimination difficulty guessing
## A11 0.072 36.590 0
## A2 -0.022 8.719 0
## A18 0.731 4.123 0
## A17 0.463 1.498 0
## A10 0.564 1.470 0
## A8 0.837 -0.576 0
## A4 0.955 -0.664 0
## A14 0.644 -1.167 0
## A15 1.067 -1.173 0
## A12 2.221 -1.921 0
## A9 0.710 -2.031 0
## A3 0.875 -2.214 0
## A6 1.199 -2.632 0
## A19 0.972 -2.688 0
## A13 0.961 -2.825 0
## A1 1.008 -2.910 0
## A7 0.550 -3.374 0
## A5 0.689 -3.439 0
## A20 0.373 -5.182 0
## A16 -0.095 -18.159 0
Kita Lihat Pola Respon yang sama akan menghasilkan theta (kemampuan) yang sama utk total skore yang sama yakni 18
There are several different patterns all with a score of 18
| 2 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
18 |
1.71 |
| 3 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
18 |
1.71 |
| 4 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
18 |
1.71 |
| 5 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
18 |
1.71 |
| 6 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
18 |
1.71 |
| 7 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
18 |
1.71 |
| 8 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
18 |
1.71 |
| 9 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
18 |
1.71 |
| 10 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
18 |
1.71 |
Kita Lihat Pola Respon yang berbeda maka akan menghasilkan theta (kemampuan) yang berbeda meski total skore semua sama yakni 17
There is a single scoring pattern (all answered only item 11 incorrectly) for a grade of 17
| 11 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
17 |
1.2756 |
| 12 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
17 |
1.2756 |
| 13 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
17 |
1.2343 |
| 14 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
17 |
1.0160 |
| 15 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
17 |
1.2153 |
| 16 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
17 |
1.7203 |
| 17 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
17 |
1.2756 |
| 18 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
17 |
0.9675 |
| 19 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
17 |
0.9675 |
| 20 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
17 |
1.1745 |
| 21 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
17 |
1.2756 |
| 22 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
17 |
1.2756 |
| 23 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
17 |
1.2756 |
| 24 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
17 |
1.7203 |
| 25 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
17 |
1.4305 |
| 26 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
17 |
0.9598 |
| 27 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
17 |
1.4305 |
| 28 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
17 |
0.9137 |
| 29 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
17 |
1.4305 |
| 30 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
17 |
1.4305 |
| 31 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
17 |
1.2756 |
| 32 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
17 |
1.4305 |
| 33 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
17 |
1.2343 |
| 34 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
17 |
1.2756 |
| 35 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
17 |
1.2756 |
| 36 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
17 |
1.2756 |
| 37 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
17 |
1.3717 |
| 38 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
17 |
0.9675 |
| 39 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
17 |
1.2756 |
| 40 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
17 |
1.0029 |
| 41 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
17 |
1.3294 |
| 42 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
17 |
1.2756 |
Kesimpulan Pola respon menentukan tingkat kemampuan seseorang sesuai dengan tingkat kesulitannya.