Liu’s Polytomous Item Relational Structure Theory Based on Q-Matrix Theory

2013 ◽  
Vol 311 ◽  
pp. 93-98
Author(s):  
Hsiang Chuan Liu ◽  
Bai Cheng Jeng ◽  
Hsien Chang Tsai ◽  
Yen Kuei Yu ◽  
Ching Yu Lu
Keyword(s):  
Matrix Theory ◽  
Relational Structure ◽  
Structure Theory ◽  
Validity Index ◽  
Polytomous Item ◽  
Structural Graph ◽  
Q Matrix ◽  
Fitting In ◽  
Relational Structure Theory ◽  
The Given

In this paper, an improved polytomous item relational structure theory based on Q-matrix theory is proposed, using Tatsuoka’s Q-matrix theory, we can construct the test with all efficient items which are fitting in with the given relational structure of cognitive attributes, and then, before the test, using Liu’s before-test item ordering theory, an ideal relational structural graph of itemscan be constructed, and the real efficient items can be obtained accordingly. After testing the students, an after-test structure of items can be estimated by using the Liu’s polytomous item relational structure theory. Furthermore, using Liu’s criterion related validity index, we can evaluate the estimated item relational structure of the test, and the results could be useful for cognitive diagnosis and remedial instruction.

Polytomous Item Relational Structure Theory Based on Empirical Distribution Critical Value

2012 ◽  
Vol 472-475 ◽  
pp. 1329-1332 ◽  
Author(s):  
Hsiang Chuan Liu ◽  
Wei Sung Chen ◽  
Hsien Chang Tsai
Keyword(s):  
Empirical Distribution ◽  
Critical Value ◽  
Threshold Limit Value ◽  
Relational Structure ◽  
Structure Theory ◽  
Polytomous Items ◽  
Polytomous Item ◽  
Limit Value ◽  
Threshold Limit ◽  
Relational Structure Theory

The threshold limit value of Takeya’s item relational structure theory is a fixed value, which is lacking of statistical meaning, in our previous paper, an improved threshold limit value by using the empirical distribution critical value was proposed, it was showed that the new theory is more sensitive and effective than the old one. However, for constructing the item relational structure, both of them can only be used for dichotomous items, not for polytomous items. In this paper, the empirical distribution critical value based polytomous item relational structure theory is proposed, it is a generalization of our previously improved theory. A calculus example was also provided in this paper to illustrate the advantages of the proposed method.

Item Relational Structure Theory Based on Liu’s Improved Nonparametric IRT Theory

2013 ◽  
Vol 479-480 ◽  
pp. 1193-1196
Author(s):  
Hsiang Chuan Liu ◽  
Yen Kuei Yu ◽  
Hsien Chang Tsai
Keyword(s):  
Item Response Theory ◽  
Item Response ◽  
Joint Probability ◽  
Relational Structure ◽  
Structure Theory ◽  
Response Theory ◽  
Nonparametric Item Response Theory ◽  
Relational Structures ◽  
Relational Structure Theory ◽  
Nonparametric Item Response

In this paper, an extensional item relational structure theory based on the improved nonparametric item response theory is proposed. Item relational structure theory (Takeya, 1991) was developed to detect item relational structures of a group of subjects. The differences of these structures and experts knowledge structures can provide more information for planning remedial instruction, developing instruction materials, or educational researches. In this study, Lius improved nonparametric item response theory ( Liu, 2000, 2013) without the local independence assumption is used to estimate the joint probability of two items, and construct personal item relational structures. A Mathematics example is also provided in this paper to illustrate the advantages of the proposed method

scholarly journals Two-dimensional Scattering by a Potential without a Classical Analogue

1999 ◽  
Vol 52 (5) ◽  
pp. 859 ◽  
Author(s):  
I. V. Ponomarev
Keyword(s):  
Quantum Chaos ◽  
Matrix Theory ◽  
Delta Function ◽  
Two Dimensional ◽  
Dirac Delta ◽  
S Matrix ◽  
Classical Analogue ◽  
Scattering Potential ◽  
The One ◽  
The Given

A two-dimensional scattering potential represents the quantum extension of a diffractive lattice: a Dirac delta function with a modulated permeability along the y-axis. This model does not have an explicit classical analogue and quantum effects such as tunneling and diffraction play an important role. An analytical solution for the one-harmonic case is found. For the general case of an arbitrary number of harmonics a simple criterion is derived for the range of parameters where quantum chaos is permitted (but does not necessarily occur). The statistical properties of the S-matrix for the given model have been investigated. The deviations from the usual predictions for irregular scattering in the random matrix theory (RMT) framework have been found and are discussed.

Restore Ecological Theories of Urban Landscape System Planning Revelation

2013 ◽  
Vol 726-731 ◽  
pp. 3981-3986
Author(s):  
Han Zhou Liu
Keyword(s):  
Restoration Ecology ◽  
Urban Landscape ◽  
Matrix Theory ◽  
Urban Ecosystem ◽  
Structure Theory ◽  
System Planning ◽  
Ecological Fitness ◽  
Great Insight ◽  
Landscape System ◽  
Succession Theory

Principles of restoration ecology include the theory of restrictive factors, structure theory of ecosystem ecological fitness theory, niche theory, community succession theory, biodiversity theory and patch-corridor-matrix theory, etc. These theories for urban ecosystem characteristics, reflecting and improving the urban ecological environment with the original content, having great insight in the amount, shape and guidelines to build urban landscape system, its not only becoming the urban landscape system planning and important theoretical foundation of the building, but also providing a new way of thinking for the construction of urban landscape system.

scholarly journals Validity of instruments used in nursing care for people with skin lesions

2014 ◽  
Vol 27 (5) ◽  
pp. 447-457 ◽  
Author(s):  
Roberta Kaliny de Souza Costa ◽  
Gilson de Vasconcelos Torres ◽  
Marina de Góes Salvetti ◽  
Isabelle Campos de Azevedo ◽  
Maria Antônia Teixeira da Costa
Keyword(s):  
Literature Review ◽  
Nursing Care ◽  
Validation Study ◽  
Content Validity ◽  
Skin Lesions ◽  
Kappa Coefficient ◽  
Content Validation ◽  
Validity Index ◽  
Two Stages ◽  
The Given

Objective To validate the content of two instruments used to evaluate nursing care for people with skin lesions. Methods Content validation study comprised of two stages: the first was the development of the instruments, beginning with a literature review; the second, content validation by means of an evaluation conducted by 30 judges/experts. For analysis, the Kappa coefficient ≥ 0.61 and content validity index ≥ 0.75 were adopted. Results The judges presented nine suggestions regarding the instrument’s categories. All items of the questionnaire and the observation script reached acceptable rates of content validity and concordance. Some categories attained scores above the given value, confirming the validity of the content. Conclusion The instruments showed satisfactory content validity rates, and can be used to measure the skills and knowledge of nursing care provided to people with skin lesions.

scholarly journals Complete Q-Matrices in General Attribute Structure Models

2019 ◽  
Author(s):  
Jürgen Heller
Keyword(s):  
Partial Order ◽  
Necessary Conditions ◽  
Knowledge Structure ◽  
Diagnostic Assessment ◽  
Structure Theory ◽  
Cognitive Diagnostic Assessment ◽  
Attribute Hierarchy ◽  
Sufficient And Necessary Conditions ◽  
Q Matrix ◽  
Observed Behavior

In cognitive diagnostic assessment a property of the Q-matrix, usually referred to as completeness, warrants that the cognitive attributes underlying the observed behavior can be assessed uniquely. Characterizations of completeness were first derived under the assumption of independent attributes, and are currently under investigation for interdependent attributes. The dominant approach considers so-called attribute hierarchies, which are conceptualized through a partial order on the set of attributes. The present paper corrects and extends previously published results on this issue obtained for conjunctive attribute hierarchy models. Drawing upon results from knowledge structure theory it provides novel sufficient and necessary conditions for completeness of the $Q$-matrix, not only for conjunctive models on attribute hierarchies, but also on more general attribute structures.

scholarly journals Leuangtengdong: Analysis of a Hmong Song

2021 ◽  
Vol 7 ◽  
pp. 69-76
Author(s):  
Paula Stefanini
Keyword(s):  
General Characteristic ◽  
Social Experience ◽  
Social Contexts ◽  
The Other ◽  
Melodic Line ◽  
Fitting In ◽  
The Given ◽  
Point Of Departure

This article is an analysis of ‘Leuangtengdong’, a Hmong song melody which was recorded and transcribed by Jähnichen in 2000, while documenting a collection of Hmong songs in Laos. This new article is an effort to analyze melodic patterns of the song while considering its historical and social contexts through the personal gaze of the author with a specific background in singing and social experience. It is important to mention that the language sung in the song was unkown and that the emphasis of the analysis is on the musical shape. Finally, there is a conclusion regarding this song fitting in Jähnichen’s hypothesis on Hmong song melodies which states that most musical phrases do not repeat; all lines are different in pitch, order and length; pitch order and intervals can indicate a specific type (of song); singers do not know which type they sing, only analysis shows; and analysis cannot prove ethnic groupings. "Very interesting is the general characteristic of generating absolutely individual melodic lines in each example and in all the other recordings there was no one song with a repetition of a single melodic line. Avoiding repetitions is therefore a remarkable sign of Hmong song melodies.” (Jähnichen, 2011: 126). The given core hypothesis was the point of departure in this analytical article.

A Simple Cognitive Diagnosis Method Based on Q-Matrix Theory

2015 ◽  
Vol 47 (2) ◽  
pp. 264 ◽  
Author(s):  
Zhaosheng LUO ◽  
Yujun LI ◽  
Xiaofeng YU ◽  
Chunlei GAO ◽  
Yafeng PENG
Keyword(s):  
Matrix Theory ◽  
Cognitive Diagnosis ◽  
Diagnosis Method ◽  
Q Matrix
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