ﺔﻳﻮﻐﻠﻟﺍ ﺓءﺎﻔﻜﻟﺍ ﺭﺎﺒﺘﺧﺍ ﻦﻣ ﺔﻔﻠﺘﳐ ﺝﺫﺎﳕ ﺕﺎﺟﺭﺩ ﺔﻟﺩﺎﻌﻣ ﻙﻮﻣﲑﻟﺍ ﺔﻌﻣﺎﺟ ﺔﺒﻠﻃ ﻯﺪﻟ ﺔﻳﺰﻴﻠﳒﻹﺍ ﺔﻐﻠﻟﺍ ﰲ

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معادلة درجات نماذج مختلفة من اختبار الكفاءة اللغوية في اللغة الا نجليزية لدى طلبة جامعة اليرموك ا عداد א K א א א א J א

אد در אت אذج א אر א כ אءة א א א ى א א כ ملخص البحث: معادلة درجات نماذج مختلفة من اختبار الكفاءة اللغوية في اللغة الا نجليزية لدى طلبة جامعة اليرموك א כ אءة אر אذج در אت אد إ א رא ه א א א ي א א כ אم א رא ٢٠٠٧/٢٠٠٦ و ف א رא א ل א א אت א א א א אذج כ א אت א א כ.و א א א אر א אذج أ אد א ه א رא و د א א (1199) و א. א א رא : أن א אذج א כ כא ي أو א א א א و א א א و אد א א אم ذج رאش( Rasch ) כ אذج א א ة (IRT) وذ כ أن א أ אد א כ ذج אذج א אر. כ א א אم א אد א وא אد א כ ق אد א א כ כ א אس. و א א رא : أن א رة א א ر (25) ذج (A) א א א ن א אر כ ر אح א א در אت رة אو אذج א אر א ى אو (0.01) و (-0.54) (20.3) אو و ة و א ذج (K) א א در אت אم אو و( 26 ) כ א א א ر אو א אذج אو א א.و אء א א א א א אم א رة א אد أو (45) و (70) א ر אت א אم א אد أو א ر אت א אم א א א א כ אس אذ אر א אح أو א ب. א כ אت א א : אد א אرאت ذج رאش א א ة. مجلة جامعة أم القر للعلوم التربوية والنفسية ١٢

د. نضال كمال محمد الشريفين Equating Scores of Different Forms Related to English Language Competency Test at Yarmouk University Abstract: Dr.Nedal Kamal AL Shraifin Department of Counseling and Educational Psychology Yarmouk University/Faculty of Education This study aimed at equating test scores of seven different forms related to the English language competency test conducted at Yarmouk University in the academic year 2006/2007. To achieve the objective of the study, data were obtained from the language center at Yarmouk University. The students (1199) who participated in the test were considered as the sample of the study. Results of the study showed that scores of the seven forms were not equivalent with regard to means and variances. After verifying the unidimensionality of each test form, the researcher used Rasch Model as a model of Item Response Theory (IRT), whereas linear equating and equipercentile equating were used as models of the classical theory in measurement. Findings of the study revealed that the ability which corresponds to the designated pass score (25) in form A matched different abilities in the other forms which ranged between (-0.54) and (-0.11) logits. Score (25) in form K corresponds to different raw scores which ranged between (20.3) and (26). In addition, score (25) matched different equipercentile ranks which ranged between (45%) and approximately (70%). Based on the results of the study, the researcher recommended that equated ability scores or equated raw scores or alternatively raw scores that matched the same equipercentile ranks be used for decision making concerning the final grade, pass or fail. Key Words: Equating Tests, Rasch Model, Item Response Theory (IRT). ١٣ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ א א א א כ אءة א אر א כ א م א א א אت אر א אذ أ إ א א אر و א א אد ن א ذ כ و א א א א ر א א אت ر و א م א א אر و א و ف אء א א אر أ אء א ر א א و א א ر א א ى و כ א אت כ א א دون أي و כ ن א אر ة 50 ع א אر د و (70) د و آ א א אم א א ب و ء א א و אء رא א. (49-0) در א א ذא א אرאت (79-50) در א א (ل ز: 111 100 99 ) وإذא א א אت رس א אق א رאכ (ل ز: 99 ) و رس א א ) ل ز: ١٠٠ ١١١ ) وإذא در (100-80) א א (ل ز: 100 99 ) و أن رس א א وא א (ل ز: 111 ) و إ אدة א אر א אذج אء أ ى ة א אر א وא אم א אب א א رة א אذج ه و א א وא א و ز ه א אذج א א א א אض أن ه א אذج כא א א ر م و د أي د כא ه א אرאت. و א א إ א אم אذج א אر א א ل ة أכ א ذج إ כא و א אر א و כ א و و אو و כ אر א ه א אذج א وא אذ א אرאت א إ אء אد (Equating) א و א אن א א אذج א אر א א אن مجلة جامعة أم القر للعلوم التربوية والنفسية ١٤

د. نضال كمال محمد الشريفين ر כ در أ אذج א אر א אد א ذج آ אر و כ א א אذج. א אر א ي وא رא אت א א أ אر ن ) (Suen,1990 : א א כ ن א أכ ذج אر و ل א אر אد כ ن א אص א אس و אت אم א אد وא د א אر ر אت א ذ إ אم و אت א אس א אص א ذج א א א אت א ة در אت כ א ذ כא إ אء א א زא إ א إ אء א א אد : כ כ א ٢٠٠٥ Lord,1980 ). ( م א אر א כ א א ق ل אت א אت א אر وכ כ א وق ل אت א אت א אر در אت א אر وذ כ (Kolen & Brennan, 1995 ) כא א א אر ذ و ف כ وכ وא א (1986, Algina אد (Crocker & א אر א א ل در אت כא دא אن א א. و א آ أن אذج א אر א א א ورة א ر אت ر א א ذج إ أ.(Hambleton & Swaminathan, 1985) و ف و و ش Subhyiah&Hirsch,1988) אد (Hills, א אر א א ل در אت כא دא אن א א. وأن א ر אت א כא כ א ر אت א א א و אر א و א אت אوي א א א א ر אت. و ف א אد إ א وق א א א א אل אذج א אر כ אدل. و כ א אد أن م א ١٥ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ א אر א ل وא ر א ذج א אر א ي א כא כ ن א אر أن אذج (Lord,1982) رد و. م כ أي ذج א אر א أدאء א م א إذ إن ذ א אر د א א رة إذא כאن إ כא א أن כ Y) و (X א رא ه אءت و (Y). أو ذج (X) ذج א د א אب אء א إذא כא אذج א אر א כ אءة א א א א א א אذج ه א ر אت אد أ و כא א כ א א אرאت א א ه א אرאت. و אن أ אع א אد אرאت: א אد א Horizontal ) (Equating وא אد א أ (Vertical Equating) א אد א כ ن א אذج א אر אر ى א. وא ف إ אء א אد א وق א א א ف א. وא אض ه א א أن אذج א אر א א ة כ وא ة أو א ز رة أو א א و א א د א אد ز א رة א. أ א א אد א أ כ ن אذج א אر ى א وכ כ כ ن אت א אد א א ه א אذج ى رא א. وא אض ه א א أن כ ن א رة (أو א ) وא א ى أو د א אت כ א א א אت א ر א ى א א א ن א א אر وא و א א إ ة א אرאت ض أ א وא ة א א و כ כ א אر ى أو ء א ى כ א ذא כאن אכ א ر א אض أن ه א אرאت א رة א و כ אت א א א א כ أن אم א אت א אرאت א مجلة جامعة أم القر للعلوم التربوية والنفسية ١٦

د. نضال كمال محمد الشريفين و א א إ אد ه א אرאت כ ن א ر א أي א א ة אس א رة و ة א אس א א כאن ذ כ א.(Lissitz& Yang, 1999 ; Skagges & Lissitz, 1986) وא א ن א وط א ور א زم א אؤ א و م א ل ي א כ ن אد א אرאت (Angoff,1971; Hambelton & Swamithan, 1985 ; Kolen & Brennan,1995; Peterson, Kolen & Hoover, 1989) و כ إ אز وط א אد א א : أن א אرאت א ب إ אء אد א א رة א. - أن א א (Equity) و أن כ ن א א ز - א כ אري א وط ر אت ى א رة (θ) אر (Y) א ر אت א ز א כ אري א وط ر אت א ى א رة (θ) אر (X) أي أن f(y θ)=f(x θ) أن כ ن אم و אت א אس א אد א א ت א א א אت א إ אء א א. - - - أن ط א א (Symmetry) و א أن א א א ل א א ر אت א ذج א ول إ א א وא א א ل א א ر אت א ذج א א إ א ول אن إ א א א. أن א אرאت א ر א אت إذא אت أ אد א א ف. ) أ כ א אم أي.( א א أي אد א ذ ١٧ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ و אכ א אص א א אت אد و م ة أ אع א א אر א אرאت ة و א א אت א אت א א و כ א אض ن א א م ه א رא أ ب א Equivalent-Groups ) א א أو א כא א אت כ ن (Design or Random Groups Design ض א א أن א ذ אن א و כ أ א אذج א אد א א رة א א אن أن כ ن א وري و אد א در כ وإ אن א א א אد. و א א أ כ א وא وא ر Petersen, Kolen & Hoover, ).(1989 و אכ א ق א אد אذج א אر و כ إ אز ه א ق دون א ض אد ت א א א כ א وא א כ א א א. א אدر إ א א ع כ א כ כ : אد א אر א א א (Mean Equating) وא אد א (LinearEquating) وא אد א Equipercentile) Item Response ) ة א א כ א و א (Equating Ability Score ) (א ) א رة در אت א אم א אر אد : (Theory True Score ) א א ر א אم א אر و אد (Equating (Equating و אد א אر א ر אت א (א ر אت א אم) Crocker & Algina, 1986 ; Hambleton, ) (Observed Score Equating) Swamithan & Rogers, 1991 ; Kolen &, Brennan 1995 ; Lord, 1980 ;.(Peterson et.al, 1989 مجلة جامعة أم القر للعلوم التربوية والنفسية ١٨

ب( د. نضال كمال محمد الشريفين و אכ د א رא אت وא ث א אو ع אد א אرאت א : א א כ כ و א א ة א אس א ي وא. أ ى א و ي (٢٠٠١) درא אد א وא ق א אرאت אد وא א א א א א אرאت א א כ כ وא א א אس א ي وא و א א ء א כ ت א وא אد א אرאت. א א ة א א أن א رא אت أ אرت אد א כ כ א ب א ض وא כ כ א אرאت و אوزت א כ ت א و א א א כ כ وא א Symmetry) ) (Equity) א ز א א כ ت وא.(Hambleton & Swamithan, 1985) (Invariance) و درא أ ب (١٩٩٤) وא إ א אر أر ق אد א אرאت א א وא א אن א א א אس و אذج א א א אس أ אدي א و א א א כ ن א (أ) א כ ن و א א أو כא אت כא אت ( א א אذج أن إ א رא א وأ אرت כ אت א אس כא أכ א א אد א وא כ א د א א رא א أ א א א (Yang,1997) א ر א אر א כ אءة א ن אد א אر א א א ة א אر أ א א כ כ א א א א אد א و درא أ ى أ א א و אد إ (Yuan, Lissitz & Yang, 1999) و א و آن א ت א אرאت و א א ة א אس א אم ١٩ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ א אت א כ وأ אرت א א رא إ א אب א אت א א אد א א ت و כ وف א א. أ א درא א (٢٠٠٣) وא إ א כ ى א א א א ر د وא (Dichotomous) א ر א أ א א אر אد א אس א وא א כ כ א אذج و (Polytomous) א م א א א אرאن כ א ق א אد א: א א ق א א وא א אري אد أ אرت א א אد א א أ و א אت א כא أن א ذج أ אدي א כאن أכ وא. א א אد א و אכ א رא אت أ אرت إ ق ق א אد א כ כ درא (Glowacki, 1991) אכ א א ق א م א ق א א ة و אر א א ق א א אد ف أכ א ء אر و أ א א א א א إ أن א ق א א א א أכ ء إذא כא ر א אر א אد אد א א א א ق א אء א אر. כ א כא א א أن إ א א) إ א (١٩٩٤) (א אر أ ب درא أכ א א ق א ى א א رא وذ כ إ אء א אد א د وא أ א אت א כא. כ א أ ت درא א د א אد א وא (Slind& Linn, (1997 و א אد أن إ א وא אد א رאش وא ذج ذج א אم א כא و א و א א ذج א أن א א אت و ت أ א א ذج א وأ אرت א א إ أن א אد א א ق א א א אس وذ כ א כ ن مجلة جامعة أم القر للعلوم التربوية والنفسية ٢٠

د. نضال كمال محمد الشريفين א אم ه א ق אؤل. כ א أن אכ א رא אت أ אرت إ כא א ق א כ כ وא ق א א אد أ אرت درא אر وכ Harris & ) (Kolen, 1990 وא إ ى א ق א אد א ف وא א א א א אد ق وכא א رة אت א وא אد و א ذج א א א وא א א א א אرאت ر א ف א (ACD)) (Arithmetic Concept Tests כא א در א א و א א وא ى وأ אرت א ه א رא إ م أي و درא أ א אد. أ א إ אء א א אد ق وכ و ز אر (Lee, Hill, Kolen & Frisbie, 2001) אد א אر أ א א א ر وא د א ر و אذج א א وא א כ כ א אد א אم ق א אد א אد א אرאت א א و (א و אط و א وא ) א א אم א אد (Graded Response Model(GRM)) و Model(NM)) (Nominal و אط א א ر כ א אم و א ر א د א אر אد א زو כ אر א א وأ ت א א א א ق א אد א אد א אرאت. أ א ه א رא א م א א א دة אء א אد אرאت א א א א כ כ (א אد א وא אد א ) وأ ى א א ة ( ذج رאش). أ א א א אرאت א כ אءة א أ ى אد (٢٠٠٧) درא ل א אر א כ אءة א א א ى א א אت א رد ٢١ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ و إ אر א دאء א א אت א אرאت א כ אءة א א א א א אت א رد א ي א و ع א א א א و ق א א אت א א ة א ذج א א א إذא כאن א دאء א و ( MH ) א ل و א ( ICC ) א א ف ى א رة وא ف در א אق א وכאن א א א أدאءא" أ ت א א אت د أכ أن א א א ز כאن א אر א א כ وأכ د א אت א أ ت أدאءא א א ع א א א א כאن א אر א א م وא כ א א رد وאن أכ א אرאت א أ ت א א أدאءא א א א א אر א א وא دאت وכא א א א אث. أ א أכ אرة أ ت א א أدאءא" א א ع א א אرة א אب א وء כ א אم כ ن و א א אر (Kenyon & Stansfield, (1993 כ אءة א (BIGSTEPS) א م א אد א د و א א א אس و א א אن درא א ذ אر א כ אءة א א א و إ כ אءة א א د א א ة. א رא : כ אءت ه א رא כא (Equivalency ) אذج אر א כ אءة א א א א ي ه א א כ و ف כ א אت و أ אد در אت ) Scores ه (Equating א אذج وو א ر כ Scale) (Common ه א رא إ א ل ى א אت כ א א א א א כ אءة א אر אذج כא א א כ و א א رة א אد ه א אذج و א א ر אت א אد ه א אذج و א אن ه א رא אو א א مجلة جامعة أم القر للعلوم التربوية والنفسية ٢٢

د. نضال كمال محمد الشريفين א : א : א رא אؤ ت ١- א אذج א אر א כ אءة א א א א כ א אت א א כ כא (Equivalent Tests) ٢- א א رة א אد א אذج א אر א כ אءة א אم ذج رאش ٣- א א ر אت א אد א אذج א אر א כ אءة א אم א אد א وא אد א א אت: إ א אر אذج א אص א אس و אت אم א אر: אد אم و אت א אس א אص א ذج א א א אت א ة در אت כ א ذ כא إ אء א. و ذج כ א ة א אد رאت א رא ه אذج א אر א כ אءة א א א ى א א כ وא א ر אت א אم א א ل א א א אر. א אد א : א אد א כ ن א אذج א אر א א ة אل כ وא أو א ز رة/ أو א א و א א כ ن א ف و כ ن א א رة ز א אد د إ אء א אد א وق א א א ف ى א إذא כא א אذج אر ى א. و ه א رא אد א ر אت א אم אذج א אر א כ אءة א א אم ذج رאش ٢٣ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ א א א ة و א אد א א وא אد א א א א כ כ. א אرאت א כא : א אرאت א א א כא א و א أ و. א א ر אت א אوي : أو و : (Allen & Yen, (1979 و א א : אوي أو אط א ر אت א. و א א : אوي א ر א אت آ א אر א א ر אت א א ر אت و ه א رא אب א ر אت א א אر א כ אءة א أ א א ر א אت כא ه א ر אت ودر אت א אر א א א כ א א אم א א א אدي وא אر. א א א א ر אت (Z ) وא אر (F ) א אر א כ אءة א א א : א אر إ א א א כ א א אم א כא ر س א א د א ٢٠٠٧/٢٠٠٦ و כ ن ة 50 ع א אر د و (Vocabulary) وא دאت (Structure) א א אرאت: وא אب (Comprehension) أ א א אت א ر א א א א א א א. א אر א א א : א אر وزאرة א وא אح وא א א א א وع כ א و א א אن א אز א א אت א ل אرאت: א א (Structure) وא دאت (Vocabulary) وא אب (Comprehension) و أوزא א א ع و ه א رא א إ در אت. مجلة جامعة أم القر للعلوم التربوية والنفسية ٢٤

د. نضال كمال محمد الشريفين א وא אءאت א رא : כ א א א כ אءة אر א א א א אت א א כ אم א رא ٢٠٠٧/٢٠٠٦ م وא א د (1199) أ אد א ه א رא ز א אذج א אر א כ אءة א א و א ول ز 1 أ אد א رא و א ذج א ي א א. ول (1) : ز أ אد א رא و אذج א אر א ذج K H G D C B A א ع 1199 89 138 143 295 131 290 113 א د א 100% 7.42% 11.51% 11.92% 24.61% 10.92% 24.18% 9.43% א و א د אوت أ אد א ذج وא ي כ أن א א אت כא א א أ אء إ ى وא א ل دא ة ت إ א ع وذ כ א א אذج אر א א כ ور در א א א כ א م وذ כ א ر אت ه א א א אت و א כ אءة אر א در وزن אو א وأن אכ א در אت إ א ر אت ه א א وع (א א د א א א אري إدאرة א...א ) و א و אط א א אذج א אر: ٢٥ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ (68.7 69.6 70.6 71 70.1 68.9 69.2) (K H G D C B A) א. و כ א إذא כא אכ وق ذאت د إ א ى א (0.05α=) א א א אن א ر אت אت אد א رא ى א אم أ ب א א א אدي وأ אرت א א (1.98=F) F א ر אت (6 1192) إ م و د وق ذאت د إ א א אت ى و כ ت ه א אت כא א כ א א א א و ذ כ رא כא א אم א אت א כא א אر إ א א. أدאة א رא : א אر א כ אءة א א : ف א אر א כ אءة א א إ א אذ א אر ل أدאء أ א م إ א א א وإ א رא א א م א ي در א אح א א אح א א א אرאت א د א כ א כאد. و א א א ف אء אذج אر א כ אءة א א אس אرאت א א وא دאت وא אءة وא אب وכ ذج א א אرة א אت وא د א א אرאت א (Structure) א (30) ة و אرة א دאت (Vocabulary) א (14) ة و אرة א אءة وא אب (Comprehension) א (6) אت. وכ ذج אذج א א אر כ ن ة (50) ع א אر إ א א א א ة כ وא ة در א م א أر. א إ א א א א א ر و مجلة جامعة أم القر للعلوم التربوية والنفسية ٢٦

د. نضال كمال محمد الشريفين و כ כ א אت א א כ ف אء אذج א אر أ אء א ر א א و א אون ت أ אء אرכ א א א אت כ و א א إ : א و م אء אت א אر و א א ة א (א אم אد א אت כ אرة א אرאت א ث א אم א ر אدאت א א כ א א אت א ة...א ) و א אء إ אد א م א א א א א و כ א ل א א א אت א (א א א ) و ى א א א אق א אول و א. و א א א وو ح א אت א أ א א אت أو إ א أو ف אذج א אر א ة ر א א א. و ط א אر א כ אءة א אح כ א אرאت وإ א أدאء א א אء א ر א כ א א و א أ إ א א. و א א אت א א ة ل א א א כ אذج א אر א כ אءة א א א כ אن ه א رא אو و ه א א :א ق وא אت א א אرכ אء א אر أو א ع א א אت א وכ א أ אر כ א אت א. א א א א כ. א و א ن א אذج א א د א אت א כ אرة א אرאت: א א א (Structure) א دאت (Vocabulary) א אءة وא אب &Comprehension) (Reading وأ אء ه א אذج و אول א אت כ א א אق أ אء א (א א א אر وא א כ א אر ( א אر أن כ א אر א ٢٧ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ א א ق א א ي. כ א אت א אق א א א אم אد כ و אخ α وذ כ ل א א אت א כ ذج אذج א אر وא ول 2 א ت אت א אق א א א אم אد כ و אخ α و כ ذج אذج א אر א כ אءة א א א م. א א א אق אت א ت (2): ر ول כ ذج אذج א אر א כ אءة א ذج K H G D C B A א α כ و אخ 0.88 0.80 0.82 0.87 0.85 0.80 0.82 و א ول 2 أن א ت א אت כא כא כ א א א אت א אم כ א א رא. ه א ض ة אت א אذج א אب א א כ ة وذ כ אد א א إ א א ة أ א א א א אو א א א ه א אت و אب א ت א وא א ت א ر אط א دאء א ة وא دאء א אر א כ ف א ة א (Correctedא אم Item Total Correlation) א אر א א ر אط א א א אص ) Correlation (Point Biserial ) (r pbis و إ א ( Allen & Yen, (1979 و א ول א ت 3 א وא وא و אط א א אت כ ذج אذج א אر א כ אءة. مجلة جامعة أم القر للعلوم التربوية والنفسية ٢٨

. د ينفيشرلا دممح لماك لاضن א لو א د א א א ر ١٤٣٠ م٢٠٠٩ ٢٩ لو :(3) א א طא و אو אو א ت א.ةءא כ א رא א جذא تא جذومنلا A B C D G H K ةرقفلا ةبوعصلا زييمتلا ةبوعصلا زييمتلا ةبوعصلا زييمتلا ةبوعصلا زييمتلا ةبوعصلا زييمتلا ةبوعصلا زييمتلا ةبوعصلا زييمتلا ١ 0.5 8 0.37 0.53 5 8 0.28 0.5 5 ٢ 0.54 0.36 0.29 0.5 0.51 0.52 7 0.54 ٣ 0.66 3 4 0.34 4 0.6 0.61 3 9 1 0.66 5 ٤ 9 0.61 0.3 6 7 4 9 1 ٥ 8 0.28 0.36 0.28 0.55 0.3 2 0.28 6 0.28 0.28 8 ٦ 0.63 0.37 1 0.6 0.55 0.52 0.34 0.63 ٧ 0.52 2 0.56 0.3 0.58 4 9 0.5 2 7 2 0.52 0.52 ٨ 0.65 0.35 4 0.3 0.51 0.37 5 0.35 0.6 0.35 0.5 0.35 0.65 ٩ 0.51 0.56 0.34 0.5 1 0.34 4 6 0.51 1 ١٠ 9 0.32 0.22 9 0.32 9 0.32 3 0.24 9 0.51 ١١ 0.62 2 0.32 0.58 2 0.51 0.5 2 0.62 ١٢ 0.62 0.28 0.63 0.32 0.68 0.28 0.62 0.28 0.6 0.28 0.51 0.23 0.62 1 ١٣ 3 0.72 0.56 5 9 3 1 3 0.56 ١٤ 0.55 1 5 4 0.35 0.5 1 1 0.34 0.55 9 ١٥ 6 0.65 0.35 0.37 2 1 0.36 6 ١٦ 0.58 0.52 4 4 1 5 0.55 0.57 ١٧ 8 0.37 8 0.3 5 2 1 0.32 4 0.37 1 0.35 8 ١٨ 0.3 0.61 0.34 0.3 0.36 0.3 0.3 8 ١٩ 0.61 0.29 0.62 0.35 0.5 0.32 3 0.29 6 0.29 0.29 0.58 0.29 ٢٠ 8 0.5 6 0.3 4 0.36 8 0.54 ٢١ 0.58 0.51 1 0.5 0.5 8 0.36 0.58 0.52 ٢٢ 2 9 2 0.3 1 2 2 2 4 ٢٣ 0.55 0.32 0.55 0.32 1 0.32 0.32 0.52 0.34 ٢٤ 0.64 8 0.28 4 0.52 0.51 2 0.6 1 ٢٥ 9 0.3 4 9 8 3 9 ٢٦ 0.67 7 0.32 4 0.63 0.65 0.35 ٢٧ 8 5 4 0.29 5 6 0.29 2 5 1 1 7 0.53 ٢٨ 0.53 0.71 0.22 0.52 0.53 0.51 2 ٢٩ 2 0.29 2 0.3 2 0.29 2 0.29 0.29 6 0.29 ٣٠ 5 0.57 9 5 0.34 1 0.37 5 1 ٣١ 0.57 0.35 0.55 0.32 0.5 0.36 0.51 0.29 5 0.35 0.28 0.51 3 ٣٢ 0.51 1 0.52 1 1 1 1 3 0.51 0.54 ٣٣ 0.55 0.51 0.29 0.32 0.51 8 5 0.53 ٣٤ 0.52 1 8 0.35 8 8 7 0.34 0.5 1 1 1 0.51 3 ٣٥ 0.58 0.6 0.5 0.35 0.56 9 ٣٦ 0.57 0.66 0.56 0.5 0.34 3 1 0.55 0.5

אد در אت אذج א אر א כ אءة א א א ى א א כ K H G D C B النموذج A الفقرة الصعوبة التمييز الصعوبة التمييز الصعوبة التمييز الصعوبة التمييز الصعوبة التمييز الصعوبة التمييز الصعوبة التمييز 4 4 0.51 4 0.29 0.58 0.6 7 6 3 6 0.5 4 0.51 0.5 3 4 6 0.59 0.59 0.54 5 3 0.57 0.51 0.6 0.51 0.52 1 0.34 0.32 0.29 0.28 0.29 0.28 0.32 0.3 0.29 0.34 1 0.5 0.36 2 0.51 0.51 3 1 1 1 2 2 0.34 0.35 0.29 0.3 2 0.34 2 0.32 0.36 2 1 1 5 9 6 2 0.52 1 1 5 0.37 0.34 0.29 0.3 0.29 0.29 2 0.32 0.29 0.5 5 3 0.61 0.56 0.56 5 7 0.52 0.5 7 0.37 7 5 4 2 0.28 4 8 0.37 0.27 8 0.52 0.5 5 0.6 8 6 0.63 0.5 6 0.35 0.26 0.28 0.3 0.24 1 0.5 8 0.27 0.21 0.34 0.56 0.55 7 0.69 9 0.58 4 0.56 0.52 0.5 0.58 0.51 0.53 0.51 2 0.34 0.35 0.29 0.3 2 0.34 2 0.32 0.36 0.54 0.53 6 8 0.61 0.61 0.56 7 5 0.59 0.53 0.62 0.53 0.53 ٣٧ ٣٨ ٣٩ ٤٠ ٤١ ٤٢ ٤٣ ٤٤ ٤٥ ٤٦ ٤٧ ٤٨ ٤٩ ٥٠ א א א א ول 3 أن أ א כאن ذج (A) إذ و א.(2) و (H) כאن ذج א وأد (0.53) أن א אت א ذج (A) כא أ א א אت א ذج (H). و כ א إذא כא אכ وق ذאت د إ א (0.05α=) אت إ א א ت ذج ى אت א א ت د א א א ة وא در אت אر ره (13) وא אف אري א ز א א א ز א א ة د א ن (4) وذ כ ره א א א א א א א أو א و א אد א א (13+4Z= ). و א אم א א א אدي כ א وق אت א ت א א אذج א א ذאت د وق و د 1192) إ (6 ر אت א (11.43=F) F إ א ى א אت (0.05α=) א ت א אت ذ כ و כ א وق ه א و כ א. א אذج مجلة جامعة أم القر للعلوم التربوية والنفسية ٣٠

د. نضال كمال محمد الشريفين א رא. ه أ אض כ א אن أ א ر א כאن ذج وא (K) א א ت אن אم و כ (D). כאن ذج ر א א ذאت د وق אכ إذא כא א و כ א. כא א אذج إ א (0.05α=) אت א ت א אت ى ذج א ت א אت إ در אت א א ن (Zr) إ אء א א א א א ت א ز א א א א א א א א א א أو א و ى א ف אت א ت א א אذج א אم א א א אدي א א (9.72=F) F א ر אت (6 1192) إ و د وق ذאت د إ א ى א 0.05α) =) א. א אذج אت א א ت אت و כ אم אن א אذج א אر א כ אءة א א א א א ت و وא אت א ق כ א א א ت أن כ א (0.3) أכ כא א אذج כ אت אو (0.2 0.8) و א ى א ل כ א ت א و א ت א ) دة 2003 ) و אت כא כא ه א אذج و אد א. إ אءאت א א אت: כ א אت א א כ אر א כ אءة א ول: א א א ول وא א : א א א א כ אم و إ אء ٣١ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ א אر א א ب א ة ة א אر (70) د א د א א و ض א אن (Demonstration) و ز א אذج א א א و א א אر א אت ء وذ כ א אر א אت إ אء א א א אت א ور وא ء א א و א אء א אر إ אر א و א א ب א אت و א ة א אز א א א رא و א א א א. כ א ذכ آ א ن ه א رא א : א א א אو א א א א א כ אءة אر א א אذج א כ כא (Equivalent Tests) א א رة א אد אذج א אر א א אم ذج رאش א א אد א אم א א אر אذج א אد א ر אت א وא אد א -١-٢ -٣ א א א א אل א ول א אم א و א أ و (Allen & Yen, (1979 وذ כ א א כא א אذج. א ول: وא א : א א אذج א א در אت أو אط אوي وא א : א א אذج א ر אت א א אوي אوي א ر אط ر אت א א א אذج א א ر אت א א אر آ. مجلة جامعة أم القر للعلوم التربوية والنفسية ٣٢

د. نضال كمال محمد الشريفين و אر כא א و אط א א وא א אت ر אت א وא ر א אت א ر אت א א אر א כ אءة ودر א א א כ ذج אذج א אر א כ אءة א و א א א. א אم א א א אدي وא אر( F ) وא אر (Z) א אر وא א אت א א א و אط 4 وא ول א ر אت و א ت א ر אط כ ذج אذج א אر א כ אءة. א אر وא א אت א א ) 4): א و אط ول و א ت א ر אط אذج א אر א כ אءة א ذج א א א א אف א אري א א ر אط 0.65 7.48 26.69 A 0.71 7.07 25.27 B 0.58 8.07 23.02 C 0.62 6.82 23.70 D 0.67 7.49 22.61 G 0.60 7.23 20.95 H 0.74 9.07 25.84 K א ول 4 أن א א א ر אت א אذج א אر אو א אف (26.69 20.95) אري אوح 6.82) 9.07) وأن أ و א ر אت א אر א א א א ٣٣ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ (K) ذج א א א א א ر אت א وأ (A) ذج و כ א إذא כא אכ وق ذאت د إ א ى א ذج ى א ر אت א א א אت (0.05α=) א אم א א א אدي وא ول 5 א א א א אدي. א ول (5) : א א א א אدي אت א ر אت א אم אذج א אر א כ אءة א در אت א אت ع א א ر و F א א אت א אذج * 10.06 550.79 6 3304.729 0.000 * دא א אذج (א ( 65246.27 54.74 1192 א כ 1199 68550.999 * ذאت د إ א ى א (0.05>α) א ول 5 و د وق ذאت د إ א אت א ر אت א אم א אذج א ى א (0.05α=) و א א وق ذאت א א א א אم אر אت א و א ول 6 א א אر אت א א אت א ر אت אذج א و. مجلة جامعة أم القر للعلوم التربوية والنفسية ٣٤

د. نضال كمال محمد الشريفين ول (6) : א א אر אت א א אت א ر אت. و א אذج K H G D C B A (25.84) (20.94) (22.61) (23.70) (23.02) (25.27) (26.69) א ذج * 5.75 * 4.08 *2.99 * 3.67 (26.69) A * 4.33 (25.27) B (23.02) C * 2.76 (23.70) D (22.61) G * 4.9 (20.94) H (25.84) K * دאل إ א א.(Scheffe) - א دא א אس אت א ر אت א אم א ذج. - א دא א ول א وق א א אت. א ول 6 أن אכ و א ذאت د إ א אت א ر אت א אم ى ذج א ذج (A) وכ א אذج (H, G (B) א ذج ق و אכ (A) א ذج و א أ ى,D,C) وא ذج (H) و א א ذج (B) و א ذج (D) وא ذج (H) و א א ذج (D) و א ذج (H) وא ذج א و(K) א ذج (K). و כ כ ن א وق א أو אط א ر אت א אذج وق ذאت د إ א. وכ כ א אم א אر (F) (Levine's) א إذא כא אכ وق ذאت د إ א ى א 0.05α) =) א כ زوج א כ (F) א אر 7 وא ول א א אر אذج א. א אر אذج א אت ٣٥ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ א ول (7): אر (F) א ق א אت אذج א אر א ذج K H G D C B A * 10.06 0.08 0.02 0.88 0.75 0.94 A * 21.15 9 1.53 0.036 * 4.31 B * 5.39 1.49 0.62 * 4.39 C * 24 0.37 1.39 D * 1 0.22 G * 13.46 H K * ذאت د إ א ى א (0.05>α) א ول 7 أن אכ و א ذאت د إ א ى א 0.05α) =) א אت א ر אت א אم א ذج (k) وכ א אذج و ق (C) وא ذج (B) א ذج ق אכ وכ כ (H, G, D, C, B, A) א ذج (C) وא ذج (D). و כ כ ن א وق א א א אت إ א. ذאت د وق وכ כ א אم א אر (Z) ر אت א א إذא כא אכ وق ذאت د إ א ى א א (0.05=α) אر אط כ زوج אذج א אر א وא ول 8 א אر Z כ א אر אط א ت אذج א אر א. مجلة جامعة أم القر للعلوم التربوية والنفسية ٣٦

د. نضال كمال محمد الشريفين א ول :8 Z א אر א ق א אر אط אذج א אر א ذج k H G D C B A 1.23 0.61 0.28 5 0.87 1.00 A 8 1.86 0.74 1.95 * 2.12 B * 2.07 0.25 1.22 0.59 C 1.84 0.03 0.84 D 1.02 0.98 G * 2.59 H K א ول 8 أن אכ و א ذאت د إ א ى א (0.05=α) א ت א ر אط و א א ذج B وא ذج C وכ כ א ذج C وא ذج K وأ א א ذج H وא ذج K و כ إ א. ذאت د وق א ر אط א ت א א وق כ ن א أن אذج א אر א א א כא و م א כא א אر א אر כ אم إذא כאن א م א ي כ أن ل ذج א ذج (A) أو (K) אכ כ ن و כ א (H) א ذج آ ذج م א אذ א אر و אر א א و אذ אرאت ل א אر א כ אءة א א אن אذج א אر א כ אءة א ي ه כ א אت א א כ אج إ אد در אت א رة א אذج א أو (א ) א אم א ر אت אد אح أو א ب. א אذج א אد א أ א א ٣٧ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ و א א אل א א أ א رא א א رאت א אد א رة در אت ر إ אدة رאش ذج א אم א אر אذج א אذج א אس כ وذ כ ل א رة א אد אذج א אر א אد أ א א אم ذج رאش אذج כ (One Parameter Model) א א ة א أو ذج (Rasch) א א ة وذ כ رאت א אد و א א אت א אذج א. و א א א א ذج أ א א א א אت אن א א אت א در א כ א כ א כ א أن (Masters, א אت در כ א כ א אد رאت.1982) כ א ر א אرة إ أن א א ي א א א א אت אء א אد א ب א כ ن إ א אت א כא وא ي ض أن א אت א אد א אذج א אر אت. א אر א א כא و ض אذج א א ة: و د رة وא ة أدאء א د أ אد א אض و א. أ אد א אذج و כ א אر א כ (Unidimensionality) ذج אذج א אر א א אم אت (Hattie,1985) א م أ אد א و א אر א א دא א אت א: أو : أ ب א א א (Factor Analysis) א אم أ ب א כ אت א א (Principal Component Analysis). وذ כ مجلة جامعة أم القر للعلوم التربوية والنفسية ٣٨

د. نضال كمال محمد الشريفين א כ אءة א אر אذج ذج כ א א אت א א. و אب א ر א כא (Eigen Value) و א א א כ (Explained Variance) א א א و ى א و א אم א و א א א (Varimix Rotation) א א כא א ر א כא א אכ وא. وכאن د א (١٥) א א א א و א כא א ور 9 وא ول א א و و כ ذج אذج א אر א כ אءة א א. ول (9): א ر א כא و א א א א א א אذج א אر א כ אءة K H G D C B A א ذج א כא א ر א א אن א כא א ر א א אن א כא א ر א א אن א כא א ر א א אن א כא א ر א א אن א כא א ر א א אن א א א כא א ر א א אن א ول 17.49 8.75 10.55 5.28 12.79 6.39 10.62 5.30 14.10 7.05 10.92 5.46 11.88 5.94 א א 5.45 2.72 5.21 2.61 4.27 2.13 4.10 2.05 4.34 2.17 4.19 2.10 5.55 2.78 א א 4.75 2.37 4.04 2.02 4.01 2 3.78 1.89 4.16 2.08 3.76 1.88 4.39 2.19 א א 4.2 2.1 3.87 1.94 3.85 1.93 3.6 1.8 3.88 1.94 3.16 1.58 4.16 2.08 א א 4.13 2.07 3.81 1.90 3.60 1.80 3.15 1.58 3.82 1.91 2.97 1.48 3.92 1.96 א אدس 3.68 1.84 3.44 1.72 3.52 1.76 3.02 1.51 3.73 1.87 2.91 1.46 3.68 1.83 א א 3.43 1.72 3.42 1.71 3.42 1.71 2.98 1.49 3.24 1.62 2.82 1.41 3.5 1.75 א א 3.32 1.66 3.39 1.70 3.13 1.57 2.91 1.46 3.01 1.50 2.75 1.37 3.20 1.60 א א 3.22 1.61 3.11 1.56 3.04 1.52 2.72 1.36 2.97 1.48 2.67 1.34 3.18 1.59 א א 3.07 1.53 2.94 1.47 3.93 1.46 2.65 1.33 2.88 1.39 2.55 1.27 3.02 1.51 2.98 1.49 2.88 1.44 3.86 1.43 2.52 1.26 2.70 1.35 2.5 1.25 2.97 1.49 א אدي א א 2.84 1.42 2.73 1.36 2.74 1.37 2.45 1.23 2.64 1.32 2.47 1.23 2.91 1.45 2.62 1.31 2.67 1.33 2.54 1.27 2.41 1.21 2.57 1.29 2.40 1.20 2.86 1.43 א א א א 2.54 1.27 2.54 1.27 2.49 1.24 2.29 1.14 2.55 1.27 2.37 1.18 2.73 1.36 2.45 1.23 2.41 1.21 2.35 1.18 2.27 1.13 2,49 1.24 2.29 1.14 2.56 1.28 א א ٣٩ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ א ول 9 أن א אض أ אد א אذج א אر א وذ כ א אد כ א ر א כא כ أ אد א א ر א כא א א ول כ وא א ور א כא א א وذ כ 2 א א א א כא א ر إ א ول א א כא א ر ن و א د أن א אر أ אدي א א אذج א ذכ رد أ א و ر א אر إ درא (As cited in Albanese & Forsyth, 1984) أن א אت כ ن أ אد א إذא כא א ر א כא א א ول כ ة א א כא א ر وأن א א א א כא א ر א אر א ول إ א ر א כא א א א ( 2 ) و ن א א א ول כ א א א أن כ א א א א א ه א א א א א אر أي أن אכ א אر א א א א א א אء א א א ول. א כ وא ر א ة א دאء א ر אط א אب : א א א א אم א א אر אذج ذج כ א אر אت א ر אط א א א אص Correlation) ) Point Biserial א ر א אت א إذא א אت أو א وא ر א כ إ أن א אت א وא א א ر א כ. و א ول 10 א ت א ر אط א א ر אت א אت وא ر א כ כ ذج אذج א אر א. مجلة جامعة أم القر للعلوم التربوية والنفسية ٤٠

د. نضال كمال محمد الشريفين א ول 10: א ذج א ت א ر אط א دאء א ة وא ر א כ א אر אذج א אر. א ذج K H G D C B A ر א ة K H G D C B A 0.37 3 0.37 26 0.54 3 0.32 0.37 1 8 0.36 0.36 0.5 2 0.37 27 5 1 0.27 0.35 2 9 0.34 0.34 0.34 2 0.34 0.37 28 2 2 0.35 0.28 0.35 0.34 3 1 0.37 0.37 7 7 0.35 0.3 29 5 0.35 4 0.3 6 0.30 0.35 4 6 0.32 0.32 0.35 4 0.36 0.25 30 0.37 0.35 0.27 3 0.30 0.36 5 0 0.3 0.34 0.52 31 0.35 0.32 0.5 6 8 0.35 0.34 32 0.52 0.34 0.34 0.3 7 0.36 0.29 0.32 0.35 5 0.30 33 4 0.34 0.27 7 0.29 8 6 0.37 0.37 0.34 0.35 0.3 34 7 0.3 6 0.25 0.35 0.35 9 5 0.29 0.29 0.37 0.30 0.3 35 0 3 0.35 0.3 10 0.50 0.37 0.29 0.37 0.30 0.32 36 0.37 0.52 6 0.32 0.29 11 4 0.34 0.37 0.37 0.36 37 4 0.35 0.37 0.35 0.36 12 7 0.32 0.37 0.36 0.36 38 0.35 0.35 7 0.35 0.35 0.36 0.36 13 2 0.35 0.28 0.34 39 0.35 0.35 0.30 0.34 14 1 0.28 0.36 0.36 0.37 40 0.51 0.35 0.37 0.28 1 0.35 15 4 0.37 0.36 3 0.36 41 1 0.35 1 16 0.35 0.25 0.37 0.37 0 0.35 42 0.52 0.34 0.34 0.35 17 8 0.35 0.35 0.34 1 43 0.25 0.34 0.28 0 5 18 5 0.29 0.34 0.35 0.37 8 44 6 0.34 5 0.34 0.34 0 1 19 0.35 0.35 0.35 0.32 1 45 1 0.37 0.37 4 0 20 1 1 0.32 0.34 0.32 1 46 0.58 0.34 0.32 0.32 21 6 0.34 0.37 0.34 47 0.35 1 0.36 0.34 22 5 0.37 0.35 48 0.54 0.32 0.36 0.35 23 0.55 6 0.34 0.35 0.34 0.35 49 0 0.35 0.35 0.34 0.35 24 0.57 1 0.37 0.34 0.35 50 0 0.3 0.36 6 5 0.36 25 ر א ة و ل א ت א ر אط א ول 10 أن א ت א ر אط א دאء א ة وא ر א כ א אر אذج א אر א כא ذאت د إ א (0.05=α) وأن א א א א אرכ א א ر אط ذאت א ت א אت ه أن إ א א א ه א אر و כ א כ א ر وא אس א. א אر אذج כ א א א א אت א أ אد ٤١ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ و (Indices Based on Reliability) א אت אت א אم א א: أ א א כ و אخ α א ت כ و אخ אذج α א אر א وכא א א و أ אد א. أ א א אض א ل א (Local Independence) وכ א أ אر أ אد א אض כא (Hambleton & Swaminatan, (1985 و א אن א ن א و א أ إذא א אض أ אد א א אر אن א אر א אض א ل א. כ א ض ذج رאش כא א رة א אت א אر א אر אت א א ت אب و א א رة אت אن א כ وא ر א ة א دאء א ر אط א ت אب ل א. א אر אذج ذج כ א אر אت و ى א א אض و א أ אر إ א ن و א אن א אت أن כ ن أ (Hambleton & Swaminatan, 1985) ود ى א א אت ) א 0.15± وא אف א אري ه א א ت ( כא א ت א ر אط אت א אذج ه א ود وכ כ כא א אف א אري ه א א ت ة و ذ כ א א א אض. و א א אت כ ة אت אذج א אر א כ אءة وכ כ رאت א אد כ א אذج א אم א (BIGSTEPS) وא ي م א א (Cohen's Approximation) (PROX) א ب א אت א א א אت א אة א אم א ر مجلة جامعة أم القر للعلوم التربوية والنفسية ٤٢

د. نضال كمال محمد الشريفين א (Unconditional Maximum Likelihood Estimation) (UCON) א أدق در אت א رة و א ت א و א א و כ و א ل א ر אت א אد א אم ذج رאش א א אر אذج ذج כ אت א א אت א در ذج رאش د א אد א א (א ) כ ذج א א א א אت א אم 9 א ول כ א א כ אءة א אر אذج وא אر ( The Standardized Information Weighted fit Statistics for.(persons: Infit, Out fit وא ول 11 د א אد א א ذج رאش و د א אت א א ذج رאش و כ ذج אذج א אر א כ אءة א א א م א א כ. ول (11): د א אد א א ذج رאش و د א אت א א ذج رאش و כ אذج א אر א כ אءة. K H G D C B A א אر ذج 12 2 11 19 11 20 11 א א א אد د 6 0 2 2 3 0 2 א א א אت د و ء א אد א ذج ن א א א א אت א ذج כ ن א د ة א إ א א א أن إ א א ة א د أو أن ر دون ى א ة א أن ى א ة أ. ر إن א אد א אت א אت א א א א א رא אرج ود א א و (1.3 0.7) و א أ אر إ כLinacre,1993) ) و א أن ٤٣ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ א א א כא א א א א אت א א א כא א א ى א و א أن ء א אد כא א א א א א אت ى ر و ود א א و כ א א א א אت א ة ى ر و א א ورאء م א ذج. כ א د א אت א א ذج א אم כאت إ א א א א א وא אر אت ) Information The Standardized (Weighted fit st. for Items; Infit, Outfit وכ כ א ت א ة א א ر אط א א א אص ) pbis r) و כ א אت א א وא אر.(Mean Square Infit / Outfit statistic) (MNSQ) و ر א أن א אت א א ذج א א אت א א כ א א א ذج כ ي א إ אدة א א أ אب م א א כ ن אכ أ אب א א أو א ح أو א א א... إ ذ כ أ אب. و ذ כ رאت א אد כ ذج אذج א אر א כ אءة وא ول אت 12 א رة ة א אد כ ذج אذج א אر وא א ر אت א אم א. مجلة جامعة أم القر للعلوم التربوية والنفسية ٤٤

د. نضال كمال محمد الشريفين ول אت א رة ة א אذج א אر א כ אءة وא א ة ر אت א אم א. א ذج :(12) א ر א אم H K G D C B A -2.18-2.32-2.26-2.20-2.25-2.28-2.29 6-1.99-2.12-2.06-2.01-2.06-2.09-2.09 7-1.82-1.95-1.89-1.85-1.89-1.92-1.91 8-1.67-1.79-1.73-1.69-1.74-1.76-1.75 9-1.53-1.64-1.59-1.55-1.60-1.62-1.60 10-1.40-1.50-1.45-1.42-1.46-1,48-1.47 11-1.28-1.37-1.32-1.30-1.34-1.36-1.33 12-1.16-1.25-1.20-1.18-1.22-1.23-1.21 13-1.05-1.13-1.09-1.07-1.10-1.12-1.09 14-0.94-1.02-0.97-0.96-0.99-1.01-0.98 15-0.84-0.91-0.87-0.86-0.89-0.90-0.87 16-0.74-0.80-0.76-0.76-0.79-0.79-0.77 17-0.64-0.68-0.66-0.66-0.68-0.69-0.66 18-0.54-0.59-0.56-0.56-0.59-0.59-0.56 19 ٤٥ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ א ذج א ر א אم H K G D C B A -5-9 -6-7 -9-9 -6 20-0.36 - -0.37 - - - -0.37 21-0.27-0.29-0.27-0.28-0.30-0.30-0.27 22-0.18-0.20-0.18-0.19-0.20-0.20-0.18 23-0.09-0.10-0.08-0.10-0.11-0.11-0.08 24 0.00 0.00 0.01-0.01-0.02-0.01 0.01 25 0.09 0.09 0.10 0.08 0.08 0.08 0.11 26 0.18 0.19 0.19 0.17 0.17 0.18 0.20 27 0.27 0.29 0.29 0.26 0.27 0.28 0.29 28 0.36 0.36 0.36 0.37 29 6 8 8 5 6 7 8 30 0.55 0.58 0.57 0.55 0.56 0.57 0.58 31 0.64 0.69 0.67 0.64 0.66 0.67 0.68 32 0.74 0.79 0.77 0.74 0.76 0.78 0.78 33 0.84 0.90 0.88 0.85 0.87 0.88 0.89 34 0.94 1.01 0.98 0.95 0.97 0.99 0.99 35 مجلة جامعة أم القر للعلوم التربوية والنفسية ٤٦

د. نضال كمال محمد الشريفين א ذج א ر א אم H K G D C B A 1.05 1.12 1.09 1.06 1.09 1.11 1.10 36 1.16 1.24 1.21 1.17 1.20 1.23 1.22 37 1.28 1.37 1.33 1.29 1.33 1.35 1.34 38 1.40 1.50 1.45 1.42 1.46 1.48 1.47 39 1.53 1.64 1.59 1.55 1.59 1.62 1.60 40 1.67 1.79 1.73 1.70 1.74 1.77 1.75 41 1.82 1.95 1.88 1.85 1.90 1.93 1.91 42 1.99 2.12 2.05 2.02 2.08 2.10 2.08 43 2.17 2.32 2.24 2.22 2.28 2.30 2.27 44 2.39 2.55 2.46 2.44 2.50 2.52 2.49 45 2.64 2.81 2.72 2.70 2.77 2.79 2.76 46 2.96 3.14 3.04 3.02 3.10 3.11 3.09 47 3.40 3.59 3.48 3.46 3.55 3.56 3.53 48 א - 0.11-0.22-0.12-0.21 0.03 0.19 א א أ در 48 42 43 48 44 46 46 أد در אم 11 10 9 9 6 8 7 אم אد א رة אت 12 أن أ א ول א ذج (A) و (0.19) א ذج (K) (0.11) א ذج (B) (0.03) و وأ א אت وא א א ٤٧ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ و א א ن א א א אل א א א א אت א ى رאت א אد و א א אق אت א אت אت א ذج أي א א אت ذج. أ א أد رة כאن ذج (H) (-.38) ذج (G) (-.22) א ذج (C).21) (- وأ א א ذج و כ אت א أ أ א و א -) و (12 (D) א אل א א א א אت אن ى رאت א אد. أ م כא אذج א אر. و ذ כ و ذ כ אد אت א رة אد אذج א אر (B K) H G D C إ אت א رة אد א ذج (A) و ذج رאش :(Wright& Masters, (1982 و א ز رא إ א א אر א א א אد א אم σ eq θ eq. = + σa ( θ A θ A ) θeq :θ eq. א ذج A. א אت إ א אدل א אر ذج אد א رة אت eq. σ: א אف א אري א ل א אت א رة אد ذج א אر א אدل. :σ A א אف א אري א ل א אت א رة אد א ذج A א אرA. ذج א رة אت θ: A אت :θeq א رة אد ذج א אر א אدل. مجلة جامعة أم القر للعلوم التربوية والنفسية ٤٨

د. نضال كمال محمد الشريفين A. א אر ذج אد א رة אت :θa وא ول 13 אت א رة ة א א אد אذج א אر א אم ذج رאش وא א ر אت א אم א א א ذج (A). א אد א رة א رة אت (13): ول אذج א אر א כ אءة و א ذج رאش. אت א رة א אد ذج G H G D C B A א ر א אم -2.93-2.55-2.55-2.07-2.78-2.26-2.29 6-2.68-2.38-2.36-1.92-2.58-2.08-2.09 7-2.46-2.22-2.19-1.77-2.39-1.91-1.91 8-2.27-2.08-2.04-1.65-2.22-1.76-1.75 9-2.08-1.95-1.90-1.53-2.07-1.63-1.60 10-1.92-1.83-1.78-1.43-1.93-1.51-1.47 11-1.75-1.71-1.65-1.32-1.79-1.38-1.33 12-1.61-1.61-1.53-1.22-1.66-1.27-1.21 13-1.46-1.50-1.42-1.13-1.54-1.15-1.09 14-1.32-1.40-1.32-1.04-1.42-1.05-0.98 15-1.19-1.31-1.21-0.95-1.31-0.95-0.87 16-1.07-1.22-1.12-0.88-1.21-0.86-0.77 17-0.93-1.12-1.02-0.79-1.09-0.76-0.66 18-0.81-1.04-0.92-0.71-0.99-0.66-0.56 19-0.69-0.95-0.83-0.63-0.88-0.57-6 20-0.58-0.87-0.75-0.56-0.79-9 -0.37 21-5 -0.78-0.65-8 -0.69-0 -0.27 22-0.34-0.70-0.57-1 -0.59 - -0.18 23-0.22-0.62-7 - -9-0.22-0.08 24 ٤٩ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ אت א رة א אد ذج G H G D C B A א ر א אم -0.11-0.54 - -0.26-0 -0.14 0.01 25 0.01-5 -0.30-0.18-0.29-0.04 0.11 26 0.12-0.37-0.21-0.11-0.20 0.04 0.20 27 0.23-0.29-0.13-0.04-0.11 0.12 0.29 28 0.36-0.21-0.03 0.04 0.00 0.22 29 7-0.13 0.05 0.11 0.09 0.30 8 30 0.59-0.04 0.15 0.19 0.19 0.58 31 0.71 0.05 0.24 0.27 0.30 8 0.68 32 0.83 0.14 0.34 0 0.58 0.78 33 0.97 0.23 4 3 0.52 0.68 0.89 34 1.09 0.32 0.53 0.51 0.62 0.77 0.99 35 1.22 2 0.63 0.60 0.73 0.87 1.10 36 1.37 0.52 0.75 0.69 0.86 0.98 1.22 37 1.52 0.63 0.86 0.79 0.98 1.09 1.34 38 1.68 0.74 0.98 0.89 1.12 1.21 1.47 39 1.84 0.85 1.10 0.99 1.25 1.33 1.60 40 2.02 0.99 1.24 1.11 1.41 1.47 1.75 41 2.22 1.13 1.39 1.23 1.57 1.62 1.91 42 2.43 1.27 1.55 1.37 1.75 1.78 2.08 43 2.66 1.44 1.73 1.52 1.95 1.95 2.27 44 2.93 1.63 1.94 1.69 2.18 2.16 2.49 45 3.26 1.87 2.19 1.90 2.46 2.41 2.76 46 3.66 2.16 2.50 2.16 2.80 2.71 3.09 47 4.20 2.54 2.91 2.51 3.26 3.12 3.53 48 א ول 13 أن א رة א א ر א אم( 25 ) א ذج وא א א ن א אر כ ر אح א א در אت رة (A) مجلة جامعة أم القر للعلوم التربوية والنفسية ٥٠

د. نضال كمال محمد الشريفين eq. (0.01) و (0.54-) אو א ى א אر אذج אو و א א אل א א أ א رא א א ر אت א אد אذج א אر א אم א אد א א כ א ة ق א א כ כ אد אذج א אر א כ אءة אب א אت א א وא א אت א אر אذج א אر כ א א ول ٤ א ر אت א אم אذج א אر א כ אءة إ א א א ر در אت :(Angoff,1971) أ ف إ א א אر א א אد و א A א אر ذج σ eq Υ eq. = ( ) σ a Y A Y A + eq. : Υ در אت א אد ذج א אر א אدل إ در אت א אد ذج Y א אر A. :σ A eq. σ: א אف א אري א ل א ر אت א אد ذج א אر א אدل. א אف א אري א ل א ر אت א אد א ذج. A :Y A : Υ eq در אت א אد ذج א אرA. در אت א אد ذج א אر א אدل..A א אر ذج א אد در אت :Υ a وא ول 14 א ر אت א אم א אد אذج א אر א אم א אد א א א א כ כ. ٥١ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ ول א ر אت א אم א אد אذج א אر א כ אءة א. א א אد א אم :(14) א ر אت א אم א אد א ذج K H G D C B A 0.8 1.0 1.9 4.8 0.7 5.7 6.0 2.0 1.9 2.9 5.7 1.8 6.7 7.0 3.2 2.9 3.9 6.7 2.9 7.6 8.0 4.4 3.9 4.9 7.6 3.9 8.5 9.0 5.6 4.8 5.9 8.5 5.0 9.5 10.0 6.8 5.8 6.9 9.4 6.1 1 11.0 8.0 6.8 7.9 10.3 7.2 11.4 12.0 9.2 7.7 8.9 11.2 8.3 12.3 13.0 10.5 8.7 9.9 12.1 9.3 13.3 14.0 11.7 9.7 10.9 13.0 1 14.2 15.0 12.9 10.6 11.9 14.0 11.5 15.2 16.0 14.1 11.6 12.9 14.9 12.6 16.1 17.0 15.3 12.6 13.9 15.8 13.6 17.1 18.0 16.5 13.5 14.9 16.7 14.7 18.0 19.0 مجلة جامعة أم القر للعلوم التربوية والنفسية ٥٢

د. نضال كمال محمد الشريفين א ر אت א אم א אد א ذج K H G D C B A 17.7 14.5 15.9 17.6 15.8 18.9 20.0 18.9 15.5 16.9 18.5 16.9 19.9 21.0 20.2 16.4 17.9 19.4 18.0 20.8 22.0 21.4 17.4 18.9 20.3 19.0 21.8 23.0 22.6 18.3 19.9 21.2 20.1 22.7 24.0 23.8 19.3 20.9 22.2 21.2 23.7 25.0 25.0 20.3 21.9 23.1 22.3 24.6 26.0 26.2 21.2 22.9 24.0 23.4 25.6 27.0 27.4 22.2 23.9 24.9 24.4 26.5 28.0 28.6 23.2 24.9 25.8 25.5 27.5 29.0 29.9 24.1 25.9 26.7 26.6 28.4 30.0 31.1 25.1 26.9 27.6 27.7 29.3 31.0 32.3 26.1 27.9 28.5 28.7 30.3 32.0 33.5 27.0 28.9 29.5 29.8 31.2 33.0 34.7 28.0 29.9 3 30.9 32.2 34.0 35.9 29.0 30.9 31.3 32.0 33.1 35.0 ٥٣ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ א ر אت א אم א אد א ذج K H G D C B A 37.1 29.9 31.9 32.2 33.1 34.1 36.0 38.3 30.9 32.9 33.1 34.1 35.0 37.0 39.6 31.9 33.9 34.0 35.2 36.0 38.0 40.8 32.8 34.9 34.9 36.3 36.9 39.0 42.0 33.8 35.9 35.8 37.4 37.9 40.0 43.2 34.8 36.9 36.7 38.5 38.8 41.0 44.4 35.7 37.9 37.7 39.5 39.7 42.0 45.6 36.7 38.9 38.6 40.6 40.7 43.0 46.8 37.7 39.9 39.5 41.7 41.6 44.0 48.0 38.6 40.9 4 42.8 42.6 45.0 49.3 39.6 41.9 41.3 43.9 43.5 46.0 50 40.6 42.9 42.2 44.9 44.5 47.0 50 41.5 43.9 43.1 46.0 45.4 48.0 * א אن 48 47 א ذج (A) כא אن כ א ل א א ذج.(K) و א ول 14 أن א ر (25) وא ت در א אح א אر א כ אءة כא א אذج أي أ א כא א ر אت (23.7 21.2 مجلة جامعة أم القر للعلوم التربوية والنفسية ٥٤

د. نضال كمال محمد الشريفين (23.8 19.3 20.9 22.2 א אذج B) (K H G D C א א. א אرאت א אذ إ دي כ א אم א א אء א אد א א אدא رא כא و א א א אد أن إ א أ אرא وא (Skaggs&Lissitz, (1986 א אد א א ى وא כ א. و אء א אد א إ אد א ر אت א אم א א ر א אرة א א (15 10 5 100) وذ כ ز אت א ر אت אذج א אر א ر אت א אم א א ة כא א אذج إذא כאن א א א א و א ول 14 א ر אت א אم א אد אذج א אر א א א אرة. ول (15): א ر אت א אم א אد אذج א אر א כ אءة وא א ة א א אرة. א ر אت א אم א אد א ذج א א K H G D C B A 12.5 10 12 13 10.6 14 14 5 15 12 14 15 13.20 16 18 10 15 13 15 17 15 18 19 15 16 15 15 17 16 19.20 20 20 17 16 17 19 17 20 21.5 25 18 16 18 19 17 21.30 22 30 20 17 19 20 19.20 23 23 35 ٥٥ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ א ر אت א אم א אد א ذج א א K H G D C B A 22 18 19 21 21 23 24 40 24 18.55 21 23 21.40 24 25 45 27 19.5 22 23 22 25 27 50 28 20 23 24 23 25 28 55 30 22 23.4 25 24 26 28.40 60 31 23 25 26.4 25 27 29.1 65 32 24 26 27 27 28 30 70 33.5 26 28 28 28 30 31 75 34 27 29 29 30.60 31 32 80 36 29.15 30 30.6 32.20 33 34.9 85 37 31 34 32.4 34 35.90 37 90 40 36 37 36 38.4 39.45 40.3 95 48 42 43 48 44 46 46 100 א א אد و א 15 أ א א ول א א א إ א א אم ذج رאش وא א أن א ر (25) وא אو ر א א א א כ אءة א אر אذج א אح در ت (45%) و( 70% ) א. כ א א و ١٢ 14 أ و א ر אت א אم א א أ (6) أو א (48) أي م אذج א אر א در أ (6) وכ כ أي م در مجلة جامعة أم القر للعلوم التربوية والنفسية ٥٦

د. نضال كمال محمد الشريفين כ א (25) א אم ر א א א אح در ت و (48). وא א כ א ر א رة م א א א אر و ذ כ إ أن א رة (0.14 0.01-40.- 26.- - 0.54-0.11-) א رة א ز אح א אذج (K H G D C B A) א א م ذج (0.01) אو א ر כ ن أن א אح در אز (A) ر أن כ ن כ א אح در אز (H) ذج א م أ א. (-0.54) אو א א وא אت: أ אرت א ه א رא إ أن אذج א אر א כ כא وأن در א אح א כ أن א א אر א כ אءة א א א אرאت אذ دي و א א אر אذج כא و א אر و ذ כ أن אכ إ כא אح א א א אر ذج آ وأن آ ن א א א א ذج أ أכ. و כ אذج א אر א א א م א د א אذ א אرאت. و أ א א أن א אذ אر א אح وא ب أ אس א ر אت א אد و أ אس א ر אت א אم אذج א אر א. و א א אء כ أ א אت א א אت א א אذج א אم א א א אر אذج א כ ة כ א אد א א אق אذج א אر ذאت אس رة כ. כ א א א אء א א رא אت א وא א א ة: א א אذج א אم א אد אل ٥٧ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ وכ כ إ אء درא אت ل אد אذج أ ى א אرאت א و כ أ ل درא אت אء א א כ א. אرאت א א אءא : א אد و א אت و ع א אر ( א א אت א אدאت رאت) د א אد. مجلة جامعة أم القر للعلوم التربوية والنفسية ٥٨

ط.( د. نضال كمال محمد الشريفين א א א א א : أ ب. (١٩٩٤). א אر أر ق אد א כ ن א א رد א א رة دכ رאه ر א כא. و כא אت אن א ردن. אد א אد. (٢٠٠٧ (. א دאء א א אت א אرאت " א כ אءة א א א " א א אت א رد : درא אر.ر א دכ رאه رة א א כ אر א ردن. א و ي رא ٢٠٠١). ). אد א אرאت א و א و כ ت ١٠٧-٢(٤) א כ א א وא. א א م א..١٣٩ א אل.( ٢٠٠٣ ). ى א א א אد א אر א א وא א כ כ א אذج و א ر د وא א ر א א א אس. ر א دכ رאه رة א אن א رא אت א א אن א ردن. א أ אد א אر دة א א אذج.(٢٠٠٥). א ح م و دة א אد و א א א אس א وא ي ١). א א ة: دאر א כ א. -١-٢ -٣-٤ -٥ ٦- دة أ. (2003). א אس وא א א ر. (ط ٣ ). אر : دאر א وא ز. ٥٩ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ א א א : 1- Al banese, M.A,& Forsyth, R. A. (1984). The one- two and modified two- parameter latent trait models: An empirical study of relative fit. Educational and Psychological Measurement, 44, 229-246. 2- Allen, M. J. & Yen, W. N. (1979). Introduction to measurement theory (1st ed.). Monterey: Coli Books/ Cole. 3- Angoff, W.H.(1971).Scales, norms, and equivalent scores In Thorndike, R.L.(Editor). Educational Measurement, (2nd ed.).washington, DC: American Council of Education. 4- Crocker, L.& Algina, J. (1986). Introduction to classical and modern test theory (1st ed.). New York: Holt Rinehart and Winston. 5- Glowacki, M.L (1991 ). An analysis of test equating models for the Alabama high school graduation examination. Paper presented at the annual meeting of the Mid-South Educational Research Association. Lexington. ( ERIC Documents reproduction Service number ED 340720). 6- Hambleton, R.K.& Swaminathan, H.(1985). Item response theory principle and applications (1st ed.). Bostons Kluwer, Nijhoff Publishing. 7- Hambleton,R.K., Swaminathan, H., & Rogers, H.J.(1991). Fundamentals of item response theory (2nd ed.). New bury Park: Sage publications. 8- Harris, D. J. & Kolen, M.J.(1990). Effect of examinee group on equating relationships. Applied Psychological Measurement. 10(1), 35-43. مجلة جامعة أم القر للعلوم التربوية والنفسية ٦٠

د. نضال كمال محمد الشريفين 9- Hattie,1985, J. (1985). Methodology Review: Assessing Unidimensionality of tests and items. Applied Psychological Measurement, 9, 139-164. 10- Hills,J.R.,Subhiyah, R.G.& Hirsch, T.M. (1988). Equating minimum competency tests: comparison of instructional methods. Journal of Educational Measurement, 25,221-232 11- Kenyon, D,M., & Stansfieid, C.W. (1993 ). Extending a scale of language proficiency calibration and rasch model. Washington, D.C: Center for applied linguistics. (ERIC Documents Reproduction service number ED 343443). 12- Kolen, M. J. & Brennan, R. L. (1995). Test equating: Methods and practices. (1st ed.). New York: Springer. 13- Lee, G., Hill, M., Kolen, M.J & Frisbie, D.A. (2001). Comparison of dichotomous and polytomous item resporise modles in equating scores from tests composed of testls Applied Psychological Measurement, 25(4), 357-372. 14- Linacre, J. M & Wright, B. D. (1993). Auser's Guide to BIGSTEPS. (Computer Program), MESA Press, Chicago, Version 2. 4. 15- Lissitz, R.W.& Yang, Y.N. (1999). Estimating IRT equating coefficients with polytomously and dichotomously scored items. Paper presented at the annual meeting of the National Council on Measurement in Education, Montreal.(ERIC Documents Reproduction Service Number ED 431800) 16- Lord, F.M.(1980). Applications of item response theory to practical testing problems (1st ed.). New Jersey: Hillsdale. 17- Lord, F.M.(1982).Standard error of equating by item response theory. Applied Psychological Measurement, 6, 463-472. ٦١ א א ول א د א א ر ١٤٣٠ ٢٠٠٩ م

אد در אت אذج א אر א כ אءة א א א ى א א כ 18- Masters, G. N. (1982). A Rasch model for partial credit scoring.psychometrika, 2, 149-174. 19- Petersen, N.S., Kolen, M.J.& Hoover, H.D.(1989). Scaling norming and equating. In Thorndike, R.L.(Editor). Educational Measurement, (2nd ed.).washington, DC: American Council of Education. 20- Skaggs.G.&Lissitz,R.W.(1986). IRT testing equating review of recent research. Review of Educational Research, 56, 495-529. 21- Slinde, J.A. & Linn, R.L. (1997). An exploration of adequacy of the rasch model for the problem of vertical equating. Journal of Educational Measurement, 15(1), 23-35. 22- Wright, B. D & Masters, G.N., (1982). MESA Press, Kim bark Avenue, Chicago. 23- Yang, W.L. (1997) The effects of content mix and equating method on the accuracy of test equating using anchor item design. Paper presented at the annual meeting of the American Educational Research Association, Chicago. (ERIC Documents reproduction Service Number ED 409334). 24- Yuan, L. H., Lissitz, R. W. & Yang, Y. N. (1999). Estimating IRT equating coefficients for tests with polytomously and dichotomously scored items. Paper presented at the annual meeting of the national council on measurement in education (Montreal, Quebec, April 19 23). مجلة جامعة أم القر للعلوم التربوية والنفسية ٦٢