مقارنة فاعلية طريقة الأرجحية العظمى وطريقة بييز في تقدير معلمة القدرة عند استخدام النموذج اللوجستي الثلاثي

Abstract EN

The aim of the study was to compare efficiency of maximum likelihood estimation and Bayesian estimation in estimating ability parameter utilizing three logistic model.

For the purpose of this study a mental ability test, which was developed in a previous study was used.Software Bilog-MG was used to analyze the data.

The findings were as follows: 1.

Accuracy of ability parameter estimates increases for high truncated ability sample and low truncated ability sample, when Bayesian Method was applied comparing with estimates generated by applying maximum likelihood estimation regardless of items number.

2.

Accuracy of ability parameter estimates increases when Bayesian Method was applied comparing with estimates generated by applying maximum likelihood estimation, provided that the average of items difficulty matching the average of the respondents ability mean.

3.

Accuracy of ability parameter estimates increases when maximum likelihood estimations method was applied comparing with estimates generated by applying Bayesian Method when all items pool was used, where as, Bayesian Method become more efficient when shorter test employed.

4.

When items difficulty mean and respondent ability mean differ significantly, maximum likelihood method become more efficient than Bayesian Method, provided that respondents ability matching item difficulty.

The study recommends to investigate efficiency of maximum likelihood estimation and Bayesian Estimation Method by doing further research based on another designs.