1.1 Análises baseadas no ITEMAN
Nesse capítulo, será apresentada um conjunto de funções para a realização da
análise clássica de testes desenvolvido por Cristiano Ferraz e Robson Lunardi (2005)
(http://www.feferraz.net).
O arquivo de dados deve estar no mesmo formato de entrada do Software
ITEMAN:
15 5 N 5
341421323441413
555555555555555
YYYYYYYYYYYYYYY
00010242311431435242
00020243323413213131
00030142212441212312
00040341211323253521
00050343321411213113
Você pode obter as funções clicando http://www.ufpr.br/~aanjos/TRI/Rfun/tri_class.R.
As funções podem ser carregadas no R com o comando source().
> source('http://www.ufpr.br/~aanjos/TRI/Rfun/tri_class.R')
Serão analisados os dados do arquivo Matematica_Iteman.DAT, disponível nesse
endereço: http://www.ufpr.br/~aanjos/TRI/dados/Matematica_Iteman.DAT.
Os dados podem ser lidos com a função le.dados():
> dados<-le.dados('http://www.ufpr.br/~aanjos/TRI/dados/Matematica_Iteman.DAT')
O conteúdo do arquivo pode ser visualizado com as seguintes funções:
[1] "respostas" "gabarito" "usa.questao" "n.questoes"
Para ver uma parte dos dados digite:
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11]
[1,] "00010" "2" "4" "2" "3" "1" "1" "4" "3" "1" "4"
[2,] "00020" "2" "4" "3" "3" "2" "3" "4" "1" "3" "2"
[3,] "00030" "1" "4" "2" "2" "1" "2" "4" "4" "1" "2"
[4,] "00040" "3" "4" "1" "2" "1" "1" "3" "2" "3" "2"
[5,] "00050" "3" "4" "3" "3" "2" "1" "4" "1" "1" "2"
[6,] "00060" "3" "4" "1" "2" "3" "2" "4" "1" "3" "2"
[,12] [,13] [,14] [,15] [,16]
[1,] "3" "5" "2" "4" "2"
[2,] "1" "3" "1" "3" "1"
[3,] "1" "2" "3" "1" "2"
[4,] "5" "3" "5" "2" "1"
[5,] "1" "3" "1" "1" "3"
[6,] "1" "1" "1" "1" "4"
Outras informações sobre os dados são:
[1] "3" "4" "1" "4" "2" "1" "3" "2" "3" "4" "4" "1" "4" "1" "3"
A análise clássica pode ser realizada com a função analise():
> dados.tri<-analise(dados)
> dados.tri
Question 1
key prop.correct disc.index pt.biss biss
3 0.844 0.3161334 0.3701706 0.5612951
ind.dif end.low end.high pt.biss biss key
1 0.027 0.06122449 0.012618297 -0.13958918 -0.3629797
2 0.085 0.18027211 0.015772871 -0.24506461 -0.4392042
3 0.844 0.64285714 0.958990536 0.37017063 0.5612951 *
4 0.038 0.09863946 0.009463722 -0.19178931 -0.4436769
9 0.006 0.01700680 0.003154574 -0.08649682 -0.3928680
Question 2
key prop.correct disc.index pt.biss biss
4 0.972 0.0583167 0.1595034 0.4095492
ind.dif end.low end.high pt.biss biss key
1 0.007 0.020408163 0.000000000 -0.10687903 -0.4572695
2 0.006 0.013605442 0.000000000 -0.07894647 -0.3585744
3 0.005 0.013605442 0.000000000 -0.08374307 -0.4084932
4 0.972 0.935374150 0.993690852 0.15950338 0.4095492 *
5 0.006 0.010204082 0.006309148 -0.02986919 -0.1356657
9 0.004 0.006802721 0.000000000 -0.04899816 -0.2610531
Question 3
key prop.correct disc.index pt.biss biss
1 0.696 0.5231765 0.4704248 0.6186606
ind.dif end.low end.high pt.biss biss key
1 0.696 0.39795918 0.921135647 0.47042476 0.6186606 *
2 0.154 0.32312925 0.015772871 -0.35007197 -0.5325487
3 0.075 0.12244898 0.050473186 -0.10504386 -0.1954545
4 0.021 0.03061224 0.009463722 -0.08477303 -0.2408778
5 0.004 0.01020408 0.000000000 -0.04437918 -0.2364441
9 0.050 0.11564626 0.003154574 -0.21751023 -0.4596399
Question 4
key prop.correct disc.index pt.biss biss
4 0.503 0.6673212 0.5551378 0.6957692
ind.dif end.low end.high pt.biss biss key
1 0.102 0.12244898 0.06309148 -0.09681687 -0.16456865
2 0.037 0.02721088 0.01577287 -0.04189341 -0.09778694
3 0.353 0.64625850 0.05993691 -0.49484689 -0.63650447
4 0.503 0.19387755 0.86119874 0.55513778 0.69576918 *
9 0.005 0.01020408 0.00000000 -0.05480913 -0.26735536
Question 5
key prop.correct disc.index pt.biss biss
2 0.594 0.6864418 0.5834128 0.7387651
ind.dif end.low end.high pt.biss biss key
1 0.277 0.55442177 0.034700315 -0.48248406 -0.6448027
2 0.594 0.23469388 0.921135647 0.58341283 0.7387651 *
3 0.026 0.04421769 0.012618297 -0.09151508 -0.2411274
4 0.057 0.08843537 0.022082019 -0.11463997 -0.2322876
5 0.010 0.01700680 0.003154574 -0.04547577 -0.1697718
9 0.036 0.06122449 0.006309148 -0.13376425 -0.3151284
Question 6
key prop.correct disc.index pt.biss biss
1 0.539 0.7384493 0.603338 0.7574907
ind.dif end.low end.high pt.biss biss key
1 0.539 0.17006803 0.908517350 0.6033380 0.7574907 *
2 0.117 0.19727891 0.025236593 -0.2233926 -0.3654225
3 0.139 0.28571429 0.015772871 -0.2912768 -0.4549384
4 0.058 0.13265306 0.009463722 -0.2068202 -0.4167615
5 0.118 0.14625850 0.037854890 -0.1644180 -0.2683248
9 0.029 0.06802721 0.003154574 -0.1596800 -0.4050465
Question 7
key prop.correct disc.index pt.biss biss
3 0.499 0.8305328 0.6773496 0.8489328
ind.dif end.low end.high pt.biss biss key
1 0.101 0.14625850 0.044164038 -0.139181440 -0.23724441
2 0.109 0.18367347 0.025236593 -0.206813905 -0.34501672
3 0.499 0.07482993 0.905362776 0.677349575 0.84893277 *
4 0.280 0.57823129 0.022082019 -0.501640865 -0.66910449
5 0.004 0.00000000 0.000000000 -0.002808341 -0.01496232
9 0.007 0.01700680 0.003154574 -0.082400780 -0.35254217
Question 8
key prop.correct disc.index pt.biss biss
2 0.57 0.5778987 0.4960575 0.6252427
ind.dif end.low end.high pt.biss biss key
1 0.207 0.27891156 0.094637224 -0.21800940 -0.3090907
2 0.570 0.29591837 0.873817035 0.49605752 0.6252427 *
3 0.043 0.08163265 0.012618297 -0.12508772 -0.2777021
4 0.097 0.17346939 0.012618297 -0.21597522 -0.3724311
5 0.071 0.14965986 0.003154574 -0.23191043 -0.4387827
9 0.012 0.02040816 0.003154574 -0.07717757 -0.2690516
Question 9
key prop.correct disc.index pt.biss biss
3 0.624 0.7709286 0.630876 0.8052006
ind.dif end.low end.high pt.biss biss key
1 0.264 0.544217687 0.009463722 -0.4815848 -0.6493520
2 0.041 0.085034014 0.012618297 -0.1481058 -0.3340351
3 0.624 0.200680272 0.971608833 0.6308760 0.8052006 *
4 0.032 0.081632653 0.000000000 -0.1770210 -0.4340764
5 0.003 0.006802721 0.000000000 -0.0530741 -0.3172548
9 0.036 0.081632653 0.006309148 -0.1603694 -0.3778061
Question 10
key prop.correct disc.index pt.biss biss
4 0.398 0.6747248 0.5732825 0.727297
ind.dif end.low end.high pt.biss biss key
1 0.046 0.07823129 0.02208202 -0.107151549 -0.23266337
2 0.472 0.68027211 0.17981073 -0.422087497 -0.52948275
3 0.067 0.11224490 0.03154574 -0.130232294 -0.25084184
4 0.398 0.09183673 0.76656151 0.573282540 0.72729694 *
5 0.002 0.00000000 0.00000000 0.004541872 0.03200462
9 0.015 0.03741497 0.00000000 -0.124195041 -0.39862796
Question 11
key prop.correct disc.index pt.biss biss
4 0.459 0.8422176 0.6872896 0.8630507
ind.dif end.low end.high pt.biss biss key
1 0.474 0.833333333 0.091482650 -0.59500217 -0.7463012
2 0.018 0.030612245 0.006309148 -0.08055747 -0.2419396
3 0.030 0.047619048 0.015772871 -0.08299236 -0.2080692
4 0.459 0.044217687 0.886435331 0.68728961 0.8630507 *
5 0.004 0.003401361 0.000000000 -0.02590325 -0.1380077
9 0.015 0.040816327 0.000000000 -0.15537572 -0.4987084
Question 12
key prop.correct disc.index pt.biss biss
1 0.39 0.6392841 0.5628991 0.7155819
ind.dif end.low end.high pt.biss biss key
1 0.390 0.10204082 0.741324921 0.56289906 0.7155819 *
2 0.173 0.19727891 0.110410095 -0.12162592 -0.1797772
3 0.161 0.25850340 0.056782334 -0.23874711 -0.3591710
4 0.144 0.21768707 0.069400631 -0.17844319 -0.2761569
5 0.007 0.01360544 0.003154574 -0.02994739 -0.1281264
9 0.125 0.21088435 0.018927445 -0.22876221 -0.3675234
Question 13
key prop.correct disc.index pt.biss biss
4 0.182 0.4270478 0.5095302 0.744066
ind.dif end.low end.high pt.biss biss key
1 0.340 0.39455782 0.214511041 -0.175207013 -0.226514079
2 0.115 0.15306122 0.088328076 -0.088627312 -0.145665647
3 0.283 0.32653061 0.205047319 -0.136250551 -0.181390251
4 0.182 0.02721088 0.454258675 0.509530228 0.744065973 *
5 0.010 0.01020408 0.009463722 0.001406467 0.005250674
9 0.070 0.08843537 0.028391167 -0.094429082 -0.179441966
Question 14
key prop.correct disc.index pt.biss biss
1 0.227 0.2726131 0.3124969 0.4342913
ind.dif end.low end.high pt.biss biss key
1 0.227 0.112244898 0.384858044 0.31249693 0.43429130 *
2 0.199 0.251700680 0.173501577 -0.09547688 -0.13656907
3 0.146 0.187074830 0.107255521 -0.11327378 -0.17467872
4 0.264 0.224489796 0.233438486 0.01115916 0.01504662
5 0.010 0.006802721 0.003154574 -0.03082507 -0.11507728
9 0.154 0.217687075 0.097791798 -0.15137304 -0.23027698
Question 15
key prop.correct disc.index pt.biss biss
3 0.155 0.1326316 0.2021537 0.3070253
ind.dif end.low end.high pt.biss biss key
1 0.570 0.472789116 0.62145110 0.09031220 0.1138316
2 0.156 0.197278912 0.12618297 -0.09457866 -0.1434110
3 0.155 0.085034014 0.21766562 0.20215368 0.3070253 *
4 0.074 0.156462585 0.01577287 -0.21077345 -0.3937865
5 0.003 0.003401361 0.00000000 -0.03708150 -0.2216577
9 0.042 0.085034014 0.01892744 -0.13136816 -0.2939249
Global Statistics
questoes.efetivas 15.0000000
N 1000.0000000
media 7.6520000
variancia 11.7766727
desvio 3.4317157
mediana 7.0000000
alpha 0.7965852
SEM 1.5477564
max.low 5.0000000
N.low 294.0000000
min.high 10.0000000
N.high 317.0000000
Compare os resultados com os apresentados pelo programa ITEMAN.