Using Alignment Index and Polytomous Item Response Theory on Statistics Essay Test

Yıl 2019, Cilt: 19 Sayı: 79, 115 - 132, 20.01.2019

Kana Hıdayatı Budiyono - Sugiman -

Öz

Purpose: Essay
test in mathematics, both in the form of restricted-response and
extended-response, generally consist of polytomous scored items. However, the essay test
used by teachers in Indonesia has not been fully supported by sufficient
quality evidence. There have been many
studies focusing on the development of the essay test, but not many of them
have applied the use of relevant measurement theory for the polytomous data.
The evidence of content validity also has not been supported by its alignment
with the curriculum. This study used
alignment index to  prove the content validity and IRT
polytomous GPCM to determine the characteristics of test items in order to produce an essay test that could accurately measure the
achievement of students on statistical materials.

Method: Procedures of this study: (1) preparation of preliminary test, (2) trials,
(3) interpretation. Trial was conducted involving 688 Junior High School
students in Yogyakarta, Indonesia.

Results: The content validity of the test was good, supported by V Aiken index of 0.88–1.00 and Porter alignment index
of 0.93. The test items had good construct validity. Test reliability
was categorized as good with the Construct Reliability coefficient of
0.88 and the Alpha coefficient of 0.78. Judging from its characteristics, all
test items were categorized as good.

Implications for Research and Practice: The use of the alignment index contribution to the verification of content validity of essay test and the use of the IRT polytomous
GPCM may provide
reference for the use of appropriate measurement theory
to determine the item characteristics of essay test.

Anahtar Kelimeler

Alignment, validity, reliability, IRT polytomous GPCM, essay test

Kaynakça

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