Monte Carlo Simulation Studies in Item Response Theory with the R Programming Language

Year 2017, Volume: 8 Issue: 3, 266 - 287, 30.09.2017

Okan Bulut Önder Sünbül

https://doi.org/10.21031/epod.305821

Cited By: 12

Abstract

Monte Carlo simulation studies play an important role in operational and academic research in educational measurement and psychometrics. Item response theory (IRT) is a psychometric area in which researchers and practitioners often use Monte Carlo simulations to address various research questions. Over the past decade, R has been one of the most widely used programming languages in Monte Carlo studies. R is a free, open-source programming language for statistical computing and data visualization. Many user-created packages in R allow researchers to conduct various IRT analyses (e.g., item parameter estimation, ability estimation, and differential item functioning) and expand these analyses to comprehensive simulation scenarios where the researchers can investigate their specific research questions. This study aims to introduce R and demonstrate the design and implementation of Monte Carlo simulation studies using the R programming language. Three IRT-related Monte Carlo simulation studies are presented. Each simulation study involved a Monte Carlo simulation function based on the R programming language. The design and execution of the R commands is explained in the context of each simulation study.

Keywords

psikometri, ölçme, MTK, simülasyon, R

R Programlama Dili ile Madde Tepki Kuramında Monte Carlo Simülasyon Çalışmaları

Abstract

.Eğitimde ölçme ve psikometri alanlarında yapılan akademik ve uygulamaya dönük araştırmalarda Monte Carlo simülasyon çalışmaları önemli bir rol oynamaktadır. Psikometrik çalışmalarda araştırmacıların Monte Carlo simülasyonlarına sıklıkla başvurduğu temel konulardan birisi Madde Tepki Kuramı’dır (MTK). Geçtiğimiz son on yılda MTK ile ilgili yapılan simülasyon çalışmalarında R'ın sıklıkla kullanıldığı görülmektedir. R istatiksel hesaplama ve görsel üretme için kullanılan ücretsiz ve açık kaynak bir programlama dilidir. R kullanıcıları tarafından üretilen birçok paket program ile madde parametrelerini kestirme, madde yanlılık analizleri gibi birçok MTK temelli analiz yapılabilmektedir. Bu çalışma, R programına dair giriş niteliğinde bilgiler vermek ve R programlama dili MTK temelli Monte Carlo simülasyon çalışmalarının nasıl yapılabileceğini göstermeyi amaçlamaktadır. R programlama dilini örneklerle açıklamak için üç farklı Monte Carlo simülasyon çalışması gösterilmektedir. Her bir çalışmada, simülasyon içerisindeki R komutları ve fonksiyonları MTK kapsamında açıklanmaktadır.

Keywords

psychometrics, measurement, IRT, simulation, R

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