A New Proposal Based on Rasch Model GSP Chart and Grey Structural Model with Analysis and Discussion

Tzeng, Jian-Wei; Sheu, Tian-Wei; Liang, Jung-Chin; Wang, Bor-Tyng; Nagai, Masao

doi:10.4156/ijact.vol4.issue9.13

Cited by 4 publications

(3 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…RaschGSP Curve is a new mathematical modeling used to analyze the student item responses proposed by Nagai (2010) (Tzeng, Sheu, Liang, Wang, & Nagai, 2012), which is a mixture of GSP Chart and Rasch Model, and constructed with Nagai's formula of localized grey relational grade and Rasch logistic regression. RaschGSP Curve function has since been extended: (1) To measure examinees' competence and calibrate items response quality effectively, (2) To visualize characteristic curve of sets of students and problems accurately, (3) To problem-solve small sample sizes with nonparametric methods mathematically.…”

Section: Raschgsp Curve (Rasch Model Gsp Curve)mentioning

confidence: 99%

A Learning Outcomes Assessment Analysis based on the Mathematical Modeling of RaschGSP Curve, GSM and MSM

Ho¹,

Chiang²,

Pham³

et al. 2016

SET

View full text Add to dashboard Cite

This paper presents an educational praxis of classroom assessment in curriculum and learning outcomes of “Introduction to Education”, and constructs assessment tool and analyzes them based on the mathematical modeling, the former with Q Matrix and ISM (Interpretive Structural Modeling), the latter mainly with Nagai’s GSP (Grey S-P) Chart, RaschGSP Curve, GSM (Grey Structural Modeling) and MSM (Matrix Based Structure Modeling). It aims: (1) To use and implement numerical value as the code for processing data, (2) To analyze and diagnose based on raw numerical values, (3) To illustrate and explain in visual diagraph analysis. Moreover, it is worth mentioning that applying mathematical logic in educational research, and such tools are not in favor of the quantitative approach, rather claimed unique feature of math logic, in benefit to: (1) Interface qualitative contextual analysis and quantitative numerical characters as the whole, (2) Convert teaching-learning praxis into binary numerical data, (3) Address alternative interdisciplinary educational research.

show abstract

Section: Raschgsp Curve (Rasch Model Gsp Curve)mentioning

confidence: 99%

A Learning Outcomes Assessment Analysis based on the Mathematical Modeling of RaschGSP Curve, GSM and MSM

Ho¹,

Chiang²,

Pham³

et al. 2016

SET

View full text Add to dashboard Cite

show abstract

“…The grey relational theory the S-P chart shows the GSP chart, which can make the analysis of the problems more specific [6]. Rasch Model GSP can identify students' discrimination toward test α , the average of the item difficulty β , and the lowest rate of answering correctly γ according to the condition when students are answering the test items [7,8].…”

Section: Literaturementioning

confidence: 99%

An Algorithm of the Misconception Order

Sheu

Tsai

Tzeng

et al. 2013

AMM

View full text Add to dashboard Cite

In recent years, the grey system theory is widely applied in academic community, and it has obtained very good results. This study proposes GSP chart (Grey Student-Problem chart) which combines S-P chart (Student-Problem chart) with GRA (Grey Relational Analysis). This paper selects the students whose Gamma value is near 0.5 from the GSP chart. Those students are defined as the Misconception-Students. Then we analyze those students’ answers and select the right and wrong answers created by those Misconception Students at the different time. It is said that the misconception questions are defined as the Misconception-Problem Chart. Through the Problem-Concept Chart conducted by teachers, we can define the Misconception Rate and the Misconception Order by comparing the Misconception-Concept Chart. This method can not only accurately predict where students’ misconception is, but also apply to the remedial instruction.

show abstract

“…RaschGSP Curve was also proposed by Nagai M. et al, [14] which is assigned to analyze the student item responses. This mathematical model is a mixture of GSP Chart and Rasch Model, and constructed with Nagai's formula of localized grey relational grade and Rasch logistic regression.…”

Section: Rasch Model Gsp Curve (Raschgsp Curve)mentioning

confidence: 99%

Factor analysis of teacher professional development and evaluation based on math methods of RaschGSP curve, ISM, GSM and MSM

Pham

Nguyen

et al. 2017

AIR

View full text Add to dashboard Cite

Professionalism has been estimated as the most important fundamental impetus in progress. Teacher profession as the most important within-school factor has been emerged to explain effective teaching and learning by research. In viewing of teacher in-service training, professional development and innovation is thus highlighted as key prerequisite for high quality teaching. Factor analysis of teacher professional development and evaluation based on math methods was primarily to identify factorial sequences of activity involving two teamwork in the classroom. The purpose of this study is to perform to: 1) Couple quantitative and qualitative accesses to display teaching research, 2) Deliver the differences of pedagogical reasoning between graduate students and undergraduate students, 3) Analyze and visualize the educational practices based on math methods, the former is to embody educational performance in academic features, the latter is to communicate concretely and contextually. Research techniques herewith are Nagai's proposals of Rasch model GSP curve (RaschGSP curve), Grey structural modeling (GSM) and Matrix-based structure modeling (MSM) have been applied to illustrate structural analysis.

show abstract

A New Proposal Based on Rasch Model GSP Chart and Grey Structural Model with Analysis and Discussion

Cited by 4 publications

References 0 publications

A Learning Outcomes Assessment Analysis based on the Mathematical Modeling of RaschGSP Curve, GSM and MSM

A Learning Outcomes Assessment Analysis based on the Mathematical Modeling of RaschGSP Curve, GSM and MSM

An Algorithm of the Misconception Order

Factor analysis of teacher professional development and evaluation based on math methods of RaschGSP curve, ISM, GSM and MSM

Contact Info

Product

Resources

About