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This study aimed at finding out the differences in item difficulty parameter estimations for Simulated Data having (MC1- PL) Model in Item Response Theory (IRT) according to the differences in a test Dimensions (3D; 2D; 1D), correlations between th ese dimensions (0.0, 0.50, 0.86), and the statistical program used in analyzing the data (NOHARM ؛Bilog- MG3). The Monte Carlo simulations data having (MC1- PL) Model in IRT using (RESGENT) program; that fully filled in a 21-item was used to achieve the study aims. Data were analyzed using the statistical programs (NOHARM ؛Bilog- MG3). The results revealed no statistically significant differences in item difficulty parameter estimations that construct the multidimensional test within items due to differences in a test, correlations between these dimensions, and the statistical program used in analyzing the data (NOHARM ؛Bilog- MG3), as well as the estimations were consistent and high. Finally, the study recommends using these statistical programs for a data having (MC1- PL) Model, especially when similar assumptions are satisfied in a real data.
هدفت هذه الدراسة إلى استقصاء أثر حجم العينة في تقدير معلمة صعوبة الفقرة ( Item Difficulty) و الخطـأ المعيـاري تقـديرها فـي (Standard Error of Estimation) باستخدام نظرية الاستجابة للفقرة (Theory Response Item) و لتحقيق أهـداف هـذه الدراسة تم اشتقا ق معلمة الصعوبة، و الخطأ المعياري في تقديرها باسـتخدام اختبـار تحصيلي في الرياضيات للصف العاشر الأساسي تكون في صورته النهائية من (80) فقرة من نوع الاختبار من المتعدد.
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