• 한국수학교육학회지시리즈B:순수및응용수학
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• 제20권1호
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• pp.59-70
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• 2013

The purpose of this study was to develop a zero-inflated Rasch (ZI-Rasch) model, a combination of the Rasch model and the ZIP model. The ZI-Rasch model was considered in this study as an appropriate alternative to the Rasch model for zero-inflated data. To investigate the relative appropriateness of the ZI-Rasch model, several analyses were conducted using PROC NLMIXED procedures in SAS under various simulation conditions. Sets of criteria for model evaluations (-2LL, AIC, AICC, and BIC) and parameter estimations (RMSE, and $r$) from the ZI-Rasch model were compared with those from the Rasch model. In the data-model fit indices, regardless of the simulation conditions, the ZI-Rasch model produced better fit statistics than did the Rasch model, even when the response data were generated from the Rasch model. In terms of item parameter ${\lambda}$ estimations, the ZI-Rasch model produced estimates similar to those of the Rasch model.

• 한국사회복지학
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• 제59권4호
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• pp.273-296
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• 2007

본 연구는 장애정체감을 평가하는 도구로 개발된 23문항의 척도를 Rasch 모형을 적용하여 문항을 재구성한 연구이다. 척수손상 장애인 397명을 대상으로 개발한 장애정체감 척도(이익섭 신은경, 2006)는 요인분석으로 타당도를 검증한 것으로 문항의 적합도나 난이도 및 응답범주의 적절성을 평가하지는 못하였다. 본 연구에서는 요인분석 절차에서 파생될 수 있는 한계를 보완하고자 문항반응이론(item response theory)의 하나인 Rasch 모형을 각 하위차원별로 적용하여 장애정체감 척도를 재검토하였다. 결과로는 4개차원의 20문항으로 축소되는 것이 문항의 적합도가 높은 것으로 나타났으며, 문항의 난이도 측면에서는 평균수준의 문항이 많은 것으로 드러났다. 응답범주는 4점 척도가 적절했다고 평가되었다. 이러한 척도의 재구성을 통하여 장애정체감의 문항 적합도와 난이도 및 응답범주의 적절성을 객관적으로 평가할 수 있었다.

• 한국전문물리치료학회지
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• 제21권2호
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• pp.74-81
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• 2014

The versions of the Oswestry disability questionnaire (ODQ) is regarded as one of the most extensively used condition-specific instruments measuring disability resulting from low back pain. It has been shown to have adequate psychometrics, reliability, validity, and responsiveness as a whole, yet the summated total score of the instrument often provide little information to rehabilitation clinicians. A keyform analysis based on Rasch measurement model is an innovative way of illustrating the specific test items that an individual may or may not perform. By applying the keyform of the Rasch measurement model to the ODQ, rehabilitation clinicians may able to select more challenging ODQ items matching an individual's ability and document them as attainable treatment goals. The results demonstrated how a keyform analysis assist to setting possible goals for the treatment of individuals with low back pain. Forty-two individuals with low back pain were recruited from rehabilitation clinics in Gainesville, Florida. A series of Rasch analyses on the 10 items of the ODQ were performed using Winsteps software. The performance of two individuals on those 10 items was illustrated on the keyform. The keyform analysis of the Rasch measurement model may be translated into a useful tool for making clinical judgements.

• 한국전문물리치료학회지
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• 제11권2호
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• pp.9-16
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• 2004

The purpose of this study was to validate the Korean version of the Gross Motor Function Measure (GMFM) using Rasch analysis. The data was obtained from the assessments of 59 children with cerebral palsy in Korea and were applied to Rasch's rating scale model to estimate the difficulty and goodness-of-fit of each item. Rasch modeling helped us to identify 76 items from the original 88-item GMFM that form an unidimensional hierarchical scale to rearrange 76 items in order of difficulty. Reliability coefficients of the 88-item and 76-item GMFM were .99 and .99, respectively. In this preliminary report, the Korean version of GMFM seems to have significant validity and reliability. These results may be useful in assessment of gross motor functions in children with cerebral palsy.

• 한국수학교육학회지시리즈A:수학교육
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• 제55권1호
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• pp.1-19
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• 2016

Given the importance of understanding the equal sign in developing early algebraic thinking, this paper investigated how a total of 695 students in grades 2~6 understood the equal sign. The students completed a questionnaire with three types of items (equation structure, equal sign definition, and open equation solving) based on the construct map by four different levels of understanding the equal sign. The questionnaire was analyzed by Rasch model. The results showed that about 80% of the students were at least Level 3 which means a basic relational understanding of the equal sign. However, the success rates varied across grades and it was noticeable that about 70% of the second graders remained at Level 1 or 2 which maintains an operational understanding of the equal sign. The results of item types demonstrated that item difficulty for the advanced relational thinking was the highest and this is the same even for the Level 4 students. This paper is expected to investigate elementary school students' understanding of the equal sign and provide implications of how to deal with the equal sign in the elementary school.

• 재활복지
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• 제20권4호
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• pp.135-156
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• 2016

이 연구의 목적은 아동기 자폐증 평정척도(CARS)에 대한 평정자의 타당한 평가가 가능토록, Rasch 평정척도모형을 적용하여 문항의 적합성과 난이도를 검증하는 데에 있다. 이를 위해 CARS 평정이 신뢰롭다고 판단된 발달장애인 238명의 자료를 분석하였고, 이때 CARS의 평정은 장애인복지관 치료사에게 교육을 받은 부모가 기입하도록 하였다. 이 연구에서 설정한 연구문제를 검증하기 위해 Rasch 평정척도모형을 적용하였고, Rasch 모형 적용을 위한 일차원성 가정은 PCAR 검증을 통해서, 문항의 적합성과 난이도는 jMetrik 4.03 프로그램을 통하여 추정하였다. 그 결과, 첫째, CARS의 문항 응답범주는 문제가 있는 것으로 나타나, 기존 7점 범주 대신 5점 범주로 수정이 필요하다. 둘째, CARS의 문항 적합도를 살펴본 결과, 집단에 따라 부적합 혹은 과적합한 문항이 존재하였다. 특히 자폐증 진단 대상자 통합 집단에서 Q11 문항만이 부적합하게 나타나, CARS 평정을 위한 교육을 보다 체계적으로 수행할 필요가 있다. 셋째, CARS 문항에 대한 개인 속성점수와 난이도를 비교한 결과, Q2, Q3, Q10, Q11 문항에 대한 개념적 정의를 보다 세부적으로 구분할 필요성이 있다. 넷째, CARS 문항에 대한 난이도를 살펴본 결과, 평정자인 부모가 지각하는 자폐증 집단의 가장 심대한 문제는 언어적 의사소통으로 나타났다.

• 한국전문물리치료학회지
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• 제24권4호
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• pp.20-28
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• 2017

Background: Rasch analysis has the advantage of placing both the items and the person along a single ratio scale and calibrates person ability and item difficulty onto an interval scale by logits. Therefore, Rasch analysis has been recommended as a better method for evaluating functional outcome questionnaires than traditional analyses. Objects: The aim of current study was to investigate item fit, item difficulty, rating scale, and separation index of the Korean version of the Fullerton Advanced Balance (KFAB) scale using Rasch analysis. Methods: In total, 93 patients with stroke (male=58, female=35) participated in this study. To investigate the item fit, difficulty, rating scale, and separation index of the KFAB scale, Rasch analysis was completed by the Winsteps software program. Results: In this study, all items of the KFAB scale were included in the Rasch model. The most difficult item was 'standing with feet together and eyes closed', and the easiest item was 'two-footed jump'. The rating scale was a 4-point scale instead of the original 5-point scale. Person and item separation indices showed high values that can identify a person with a wide range of balance ability. Conclusion: The KFAB scale appears to be a reliable and valid tool to assess balance function in patients with stroke. Furthermore, the scale was found to discriminate among stroke patients of varying balance abilities.

• 한국전문물리치료학회지
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• 제15권3호
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• pp.26-34
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• 2008

The purposes of this study were to assess and modify the original classification categories of the modified Oswestry Low Back Pain Disability Questionnaire (ODQ) and to determine the unidimensionality of the modified ODQ applying Rasch Analysis. The data were obtained from 108 work-related low back pain patients by physical therapists. Construct validity of the scale using the Rasch model required the structure of the rating scale to be modified from 6 response levels to 4 response levels. Eight items from the modified ODQ fit the Rasch model. The items, "pain intensity" and "social life" showed misfit statistics. In general, the order of item difficulty of the remaining 8 items showed a logical item difficulty hierarchy with the "changing degree of pain" item being the most difficult and the "walk" item being the easiest. The results showed that further study is needed to expand the construct of ODQ including additional higher-level items related to work activities. This study may be useful for establishing a standard method to assess the functionality of low back pain patients.

• Journal of the Korean Data and Information Science Society
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• 제25권3호
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• pp.567-578
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• 2014

이 연구는 Rasch 모형을 적용하여 우리나라 엘리트 선수의 도핑 사고성향 분석을 위한 PEAS의 타당도를 검증하는데 목적이 있다. PEAS (performance enhancement attitude scale)는 Petroczi (2006)이 제시한 선수들의 도핑 (doping)에 대한 사고방식과 성향을 측정하는 척도로 17문항 6점 척도로 구성되어 있다. 국가대표 엘리트 선수 438명을 대상으로 측정하였고, Rasch 모형을 적용하여 타당도를 분석하였다. 우선 Rasch 모형의 기본가정인 일차원성을 검증하기 위해 SPSS 프로그램을 적용하여 주성분분석을 실시하였다. 문항의 적합도 검증과 측정척도 범주의 타당도, 그리고 성별에 따른 차별기능문항을 추출하기 위해 Winsteps 프로그램을 이용하였다. 분석에 모든 유의수준은 .05로 설정하였다. 자료분석 결과는 다음과 같다. 첫째, 총 17문항으로 구성된 PEAS는 일차원성을 만족하는 것으로 나타났다. 둘째, 응답범주 수의 타당도는 6점척도보다 5점척도가 더 적합한 것으로 나타났다. 셋째, 문항의 적합도는 17문항 중 7문항 (문항1, 문항9, 문항10, 문항12, 문항13, 문항14, 문항17)이 통계적으로 적합하지 못한 것으로 나타났다. 넷째, 성별에 따른 차별기능문항 분석 결과 3문항 (문항3, 문항12, 문항13)이 추출되었다. 따라서 이 연구에서 우리나라 엘리트 선수의 도핑 사고성향분석을 위한 PEAS는 9문항 5점척도가 타당한 것으로 구명되었다.

• 대한한의학회지
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• 제43권2호
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• pp.27-41
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• 2022

Objectives: There should be an objective analysis on the academic competency for incorporating Computer-based Test (CBT) in the education of traditional Korean medicine (TKM). However, the Item Response Theory (IRT) for analyzing latent competency has not been introduced for its difficulty in calculation, interpretation and utilization. Methods: The current study analyzed responses of 390 students of 8 years to the herbology test with 14 items by utilizing Rasch model, and the characteristics of test and items were evaluated by using characteristic curve, information curve, difficulty, academic competency, and test score. The academic competency of the students across gender and years were presented with scale characteristic curve, Kernel density map, and Wright map, and examined based on T-test and ANOVA. Results: The estimated item, test, and ability parameters based on Rasch model provided reliable information on academic competency, and organized insights on students, test and items not available with test score calculated by the summation of item scores. The test showed acceptable validity for analyzing academic competency, but some of items revealed difficulty parameters to be modified with Wright map. The gender difference was not distinctive, however the differences between test years were obvious with Kernel density map. Conclusion: The current study analyzed the responses in the herbology test for measuring academic competency in the education of TKM using Rasch model, and structured analysis for competency-based Teaching in the e-learning era was suggested. It would provide the foundation for the learning analytics essential for self-directed learning and competency adaptive learning in TKM.