• Title/Summary/Keyword: correspondence

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An Analysis of 'Patterns and Correspondence' in the Elementary Mathematics Textbooks Aligned to the 2007 and 2009 Revised Curriculum ('규칙과 대응'에 대한 2007 개정 및 2009 개정 초등학교 수학 교과서 분석)

  • Pang, JeongSuk;SunWoo, Jin;Kim, EunKyung
    • School Mathematics
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    • v.19 no.1
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    • pp.117-135
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    • 2017
  • Even though patterns and correspondence serve a fundamental basis of function for elementary students, there has been lack of research in this field. This study explored prior studies to extract the key instructional elements on how to teach patterns and correspondence. This study then analyzed the unit of 'patterns and correspondence' in the mathematics textbooks in terms of four key instructional elements (i.e., relation to real-life contexts, diversity of pattern tasks, exploration for a correspondence relationship, and teaching variables). The results of this study showed that topics dealing with patterns and correspondence were represented with relation to real-life contexts but diversity of pattern tasks and exploration for a correspondence relationship were needed to be further considered in the textbooks. Another noticeable result was that teaching variables was not explicitly addressed in the textbooks. Based on these results, this study provides textbook writers with implications on what to further consider in dealing with patterns and correspondence.

Equivalence study of canonical correspondence analysis by weighted principal component analysis and canonical correspondence analysis by Gaussian response model (가중주성분분석을 활용한 정준대응분석과 가우시안 반응 모형에 의한 정준대응분석의 동일성 연구)

  • Jeong, Hyeong Chul
    • The Korean Journal of Applied Statistics
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    • v.34 no.6
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    • pp.945-956
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    • 2021
  • In this study, we considered the algorithm of Legendre and Legendre (2012), which derives canonical correspondence analysis from weighted principal component analysis. And, it was proved that the canonical correspondence analysis based on the weighted principal component analysis is exactly the same as Ter Braak's (1986) canonical correspondence analysis based on the Gaussian response model. Ter Braak (1986)'s canonical correspondence analysis derived from a Gaussian response curve that can explain the abundance of species in ecology well uses the basic assumption of the species packing model and then conducts generalized linear model and canonical correlation analysis. It is derived by way of binding. However, the algorithm of Legendre and Legendre (2012) is calculated in a method quite similar to Benzecri's correspondence analysis without such assumptions. Therefore, if canonical correspondence analysis based on weighted principal component analysis is used, it is possible to have some flexibility in using the results. In conclusion, this study shows that the two methods starting from different models have the same site scores, species scores, and species-environment correlations.

Syllable Contact and Correspondence in Correspondence Theory

  • Shin, Seung-Hoon
    • Proceedings of the KSPS conference
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    • 1996.10a
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    • pp.176-181
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    • 1996
  • This paper investigates patterns of manner assimilation in Toba Batak, Sanskrit, Ponapean and Korean. Based on cross-linguistic patterns of manner assimilation, I develop the constraint, Syllable Contact (SyllCon), as a type of a markedness constraint in Correspondence Theory. With the establishment of high-ranking SyllCon, I argue that several patterns of manner assimilation result from the interaction of high-ranking SyllCon and correspondence constraints such as Ident[sonorant].

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An Identification of Outlying Cells in Contingency Table via Correspondence Analysis Map

  • Hong, Chong Sun;Lee, Jong Cheol
    • Communications for Statistical Applications and Methods
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    • v.8 no.1
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    • pp.39-49
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    • 2001
  • When an appropriate model is fitted to explain a certain categorical data, outlying cell detection plays very important role to reduce the lack of fit. There exist many statistical methods to identify outlying cells in contingency table. In this paper, correspondence analysis is applied to identify one or two outlying cells. When corresponding relationships between categories of the row and columns are explored, we find that outlying cells could be identified via the correspondence analysis map.

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System Analysis of Disease Classification of Oriental Medicine Diagnosis and Study for Improvement Method (한방진단명의 질병분류체계 분석과 개선방안 연구)

  • Lee, Hyun Ju;Park, Su Bock;Kim, Su Jin;Ko, Seung Yeon
    • Quality Improvement in Health Care
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    • v.12 no.2
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    • pp.84-92
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    • 2006
  • Background : To examine the difference between ICD-10 and The Korean standard classification of disease(oriental medicine), and to aim at improve the practical use as statistical data. It is one of the reason of disease classification. On that account we convert the many to many correspondence presenting classification of oriental medicine into many to one correspondence. Method : The study tracked out 155 patients discharged from the university hospital which is located in Gyeonggi Province and managing hospital and oriental medicine hospital from July to October this year. The period of this study was from August 1 to November 18. We compared correspondence between the two services' diagnosis(hospital services and oriental medicine hospital services) at the same time and attempted many to one correspondence classification. That is for production of statistical data. Result : We investigated the group which have had medical treatment experience of two kinds of services at the same time. The result of this investigation was that the same oriental medicine diagnosis used differently in western medicine diagnosis. 44.5% was accorded with western medicine diagnosis. Correspondence of the western medicine diagnose with the top of the Korean standard classification of disease(oriental medicine) list's western medicine diagnosis was 13.5%. For many to one correspondence classification for statistics, one western medicine diagnosis was selected for one oriental medicine diagnosis. In case of the main diagnosis(I sign) was not enough to explain oriental medicine diagnosis' characteristic, we chose multiple other diagnosis, so other diagnosis(II sign) about patient's cause of disease could be selected for supplement after we examined the patient's records. The statistics was possible with this many to one correspondence. Conclusion : The result of this study about correspondence between western medicine diagnoses and those of oriental medicine confirms that The Korean standard classification of disease(oriental medicine) is hard to be standardized with western medicine diagnosis. Therefore, according to this study, we use new many to one correspondence classification, multiple oriental medicine diagnoses with one ICD-10, which can be used by statistical data.

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Correspondence and clustering using color features (칼라 특징 값을 이용한 correspondence 와 clustering)

  • 김성동;진성아;주문원
    • Proceedings of the Korea Multimedia Society Conference
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    • 2001.11a
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    • pp.177-181
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    • 2001
  • 본 논문에서는 칼라차 영상을 이용하여 물체들의 움직임을 분석하고 이동 형태들의 대한 RGB 특징 값을 추출하였으며 그 동안 미해결 과제로 남았던 이동 물체들 사이의 영역정합(matching)과 군집화 (clustering)를 이용하여 대응(Correspondence)관계를 확인하는 문제를 해결하여 이동 물체들을 추구하여 보았다.

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Robust Simple Correspondence Analysis

  • Park, Yong-Seok;Huh, Myung-Hoe
    • Journal of the Korean Statistical Society
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    • v.28 no.3
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    • pp.337-346
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    • 1999
  • Simple correspondence analysis is a technique for giving a joint display of points representing both the rows and columns of an n$\times$p two-way contigency table. In simple correspondence analysis, the singular value decomposition is the main algebraic tool. But, Choi and Huh(1996) pointed out the singular value decomposition is not robust. Instead, they developed a robust singular value decomposition and provided applications in principal component analysis and biplots. In this article, by using the analogous procedures of Choi and Huh(1996), we derive a robust version of simple correspondence analysis.

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INFLUENCE FUNCTIONS IN MULTIPLE CORRESPONDENCE ANALYSIS (다중 대응 분석에서의 영향 함수)

  • Hong Gie Kim
    • The Korean Journal of Applied Statistics
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    • v.7 no.1
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    • pp.69-74
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    • 1994
  • Kim (1992) derived influence functions of rows and columns on the eigenvalues obtained in correspondence analysis (CA) of two-way contingency tables. As in principal component analysis, the eigenvalues are of great importance in CA. The goodness of a two dimensional correspondence plot is determined by the ratio of the sum of the two largest eigenvalues to the sum of all the eigenvalues. By investigating those rows and columns with high influence, a correspondence plot may be improved. In this paper, we extend the influence functions of CA to multiple correspondence analysis (MCA), which is a CA of multi-way contigency tables. An explicit formula of the influence function is given.

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A feature-based motion parameter estimation using bi-directional correspondence scheme (쌍방향 대응기법을 이용한 특징점 기반 움직임 계수 추정)

  • 서종열;김경중;임채욱;박규태
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.11
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    • pp.2776-2788
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    • 1996
  • A new feature-based motion parameter estimation for arbitrary-shaped regions is proposed. Existing motion parameter estimation algorithms such as gradient-based algorithm require iterations that are very sensitive to initial values and which often converge to a local minimum. In this paper, the motion parameters of an object are obtained by solving a set of linear equations derived by the motion of salient feature points of the object. In order to estimate the displacement of the feature points, a new process called the "bi-directional correspondence scheme" is proposed to ensure the robjstness of correspondence. The proposed correspondence scheme iteratively selects the feature points and their corresponding points until unique one-to-one correspondence is established. Furthermore, initially obtained motion paramerters are refined using an iterative method to give a better performance. The proposed algorithm can be used for motion estimationin object-based image coder, and the experimental resuls show that the proposed method outperforms existing schemes schemes in estimating motion parameters of objects in image sequences.sequences.

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Correspondence analysis for studying association between geography and cancer

  • Song, Joon-Jin;Yu, Pingjian;Ren, Yuan;Chung, Ming-Hua
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.5
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    • pp.919-924
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    • 2009
  • Geographical location carries information such as demography, local economy, environment, and life styles, which could be the sources of cancer occurrence. Analyzing geographical location associated with cancer occurrence can be instructive to physicians, patients, and health administrators regarding resource allocation, expenditures, prophylaxis and treatments. In this paper, we explored the correspondence relationship between geographical locations and mortality rates of the cancers using correspondence analysis and illustrated the approach with the mortality rates of the top 10 cancers in the 75 counties in Arkansas from 2001 to 2005. Geographical variations with respect to the mortality rates of cancers are evaluated across Arkansas counties. Based on the contingency table, correspondence analysis model is developed and the simple indices which indicate the degree to which the regions and the cancers affect each other are calculated. Quantitative results are visualized and mapped in two-dimensional graphs.

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