• 제목/요약/키워드: ${\alpha}$-level linear regression model

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Equivalence in Alpha-Level Linear Regression

  • Yoon, Jin-Hee;Jung, Hye-Young;Choi, Seung-Hoe
    • Communications for Statistical Applications and Methods
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    • 제17권4호
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    • pp.611-624
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    • 2010
  • Several methods were suggested for constructing a fuzzy relationship between fuzzy independent and dependent variables. This paper reviews the use of the method by minimizing the square of the difference between an observed and a predicted fuzzy number in an ${\alpha}$-level linear regression model. We introduce a new distance between fuzzy numbers on the basis of a mode, a core point and a radius of an ${\alpha}$-level set of a fuzzy number an construct the fuzzy regression model using the proposed fuzzy distance. We also investigate sufficient condition for an equivalence in the ${\alpha}$-level regression model.

분포무관추정량을 이용한 퍼지회귀모형 (Fuzzy Linear Regression Using Distribution Free Method)

  • 윤진희;최승회
    • Communications for Statistical Applications and Methods
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    • 제16권5호
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    • pp.781-790
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    • 2009
  • 본 논문에서는 퍼지수를 포함한 모수적 회귀모형을 추정하기 위하여 분포무관추정량으로 알려진 순위 변환방법과 Theil 방법을 소개한다. 순위 변환방법은 퍼지수의 ${\alpha}$-수준집합의 중심과 폭에 대한 순위를 이용하고 Theil 방법은 ${\alpha}$-수준집합의 중심과 폭에 대한 추정한 값들의 중위수를 이용한다. 예제를 이용하여 분포무관추정량으로 추정된 퍼지회귀모형의 효율성을 최소자승법과 여러 가지 방법으로 추정된 퍼지회귀모형과 비교한다.

FUZZY REGRESSION MODEL WITH MONOTONIC RESPONSE FUNCTION

  • Choi, Seung Hoe;Jung, Hye-Young;Lee, Woo-Joo;Yoon, Jin Hee
    • 대한수학회논문집
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    • 제33권3호
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    • pp.973-983
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    • 2018
  • Fuzzy linear regression model has been widely studied with many successful applications but there have been only a few studies on the fuzzy regression model with monotonic response function as a generalization of the linear response function. In this paper, we propose the fuzzy regression model with the monotonic response function and the algorithm to construct the proposed model by using ${\alpha}-level$ set of fuzzy number and the resolution identity theorem. To estimate parameters of the proposed model, the least squares (LS) method and the least absolute deviation (LAD) method have been used in this paper. In addition, to evaluate the performance of the proposed model, two performance measures of goodness of fit are introduced. The numerical examples indicate that the fuzzy regression model with the monotonic response function is preferable to the fuzzy linear regression model when the fuzzy data represent the non-linear pattern.

ON THEIL'S METHOD IN FUZZY LINEAR REGRESSION MODELS

  • Choi, Seung Hoe;Jung, Hye-Young;Lee, Woo-Joo;Yoon, Jin Hee
    • 대한수학회논문집
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    • 제31권1호
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    • pp.185-198
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    • 2016
  • Regression analysis is an analyzing method of regression model to explain the statistical relationship between explanatory variable and response variables. This paper propose a fuzzy regression analysis applying Theils method which is not sensitive to outliers. This method use medians of rate of increment based on randomly chosen pairs of each components of ${\alpha}$-level sets of fuzzy data in order to estimate the coefficients of fuzzy regression model. An example and two simulation results are given to show fuzzy Theils estimator is more robust than the fuzzy least squares estimator.

일반선형모형을 적용한 한국남자프로농구 경기기록분석 : 2014-2015 정규리그 (Analyzing records of Korean pro-basketball using general linear model)

  • 김세형
    • Journal of the Korean Data and Information Science Society
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    • 제26권4호
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    • pp.957-970
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    • 2015
  • 이 연구는 일반선형모형에 이원변량분석과 위계적회귀분석을 적용하여 한국남자프로농구 경기기록 (2014-2015 정규리그 270경기)을 분석하였다. 이원변량분석 결과, 3점슛시도에서 승패와 홈원정 집단간에 상호작용효과가 통계적으로 유의하게 나타났다. 이 외에 변인들 (2점슛시도, 어시스트, 속공, 선수교체)은 모두 승패 집단간에는 통계적으로 유의한 차이가 나타났고, 홈원정경기 간에는 유의한 차이가 없게 나타났다. 위계적회귀분석 결과, 어시스트는 3점슛시도가 총득점에 미치는 영향에 대해 통계적으로 유의한 조절변수로 나타났으며, 속공은 어시스트가 2점슛성공에 미치는 영향에 대해 유의한 조절변수로 나타났다. 반면 어시스트는 2점슛시도가 총득점에 미치는 영향에, 그리고 속공은 어시스트가 3점슛성공에 미치는 영향에 유의한 조절효과가 없는 것으로 나타났다. 마지막으로 선수교체는 2점슛시도, 3점슛시도 그리고 어시스트가 총득점에 미치는 영향에 통계적으로 유의한 조절효과가 없는 것으로 나타났다.

전문대학 교수의 조직변화 수용성과 개인 및 조직 변인의 위계적 관계 (The Hierarchical Linear Relationship of Individual and Organizational Variables with the Receptivity to Organizational Change of Professors in Junior Colleges)

  • 석영미;나승일
    • 직업교육연구
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    • 제36권2호
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    • pp.23-50
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    • 2017
  • 이 연구의 목적은 전문대학 교수의 조직변화 수용성과 개인 및 조직 변인의 위계적 관계를 구명하는 데 있었다. 이 연구의 모집단은 2015년을 기준으로 우리나라 전문대학에 재직하고 있는 전임교수 12,920명이었으며, 자료 수집을 위한 조사 도구로는 질문지가 사용되었다. 질문지는 2015년 5월 26일부터 6월 13일까지 총 800부가 배포되었고, 이 중 445부가 회수되었다. 이 중 최종적으로 총 441부가 자료 분석에 사용되었으며, HLM 6.0 프로그램을 이용하여 위계적 선형모형 분석을 실시하였다. 연구 결과는 다음과 같다. 첫째, 전문대학 교수의 조직변화 수용성 수준은 평균 3.94로 대다수의 교수들이 조직변화를 수용하는 것으로 나타났다. 둘째, 조직변화 수용성의 변량은 56.5%가 개인 차이, 43.5%가 조직 차이에 의한 것으로 나타났다. 셋째, 개인 변인 중에는 교수의 변화에 대한 기대, 주인의식, 보직경험, 근속년수, 직무안정성의 순으로 조직변화 수용성에 정적 영향을 미치는 반면, 근속년수는 부적 영향을 미치는 것으로 나타났다. 넷째, 조직 변인 중에는 조직변화수준, 참여적 의사결정, 관계지향문화, 변화관련정보 접근성의 순으로 조직변화 수용성에 정적 영향을 미치는 것으로 나타났다.

The Effects of Long-Term, Low-Level Exposure to Monocyclic Aromatic Hydrocarbons on Worker's Insulin Resistance

  • Won, Yong-Lim;Ko, Yong;Heo, Kyung-Hwa;Ko, Kyung-Sun;Lee, Mi-Young;Kim, Ki-Woong
    • Safety and Health at Work
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    • 제2권4호
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    • pp.365-374
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    • 2011
  • Objectives: This study was designed to investigate whether long-term, low-level exposure to monocyclic aromatic hydrocarbons (MAHs) induced insulin resistance. Methods: The subjects were 110 male workers who were occupationally exposed to styrene, toluene, and xylene. One hundred and ten age-matched male workers who had never been occupationally exposed to organic solvents were selected as a control group. Cytokines, which have played a key role in the pathogenesis of insulin resistance, and oxidative stress indices were measured. Assessment of exposure to MAHs was performed by measuring their ambient levels and their urinary metabolites in exposed workers, and the resulting parameters between the exposed group and non-exposed control groups were compared. Results: There was no significant difference in general characteristics and anthropometric parameters between the two groups; however, total cholesterol, fasting glucose, fasting insulin, and homeostasis model assessment of insulin resistance levels were significantly higher in the exposed group. Phenylglyoxylic acid levels showed significant association with tumor necrosis factor-${\alpha}$, total oxidative status, and oxidative stress index via multiple linear regression analysis. Further, there was a negative correlation between methylhippuric acid levels and total anti-oxidative capacity, and there was a significant relationship between MAHs exposure and fasting glucose levels, as found by multiple logistic regression analysis (odds ratio = 3.95, 95% confidence interval = 1.074-14.530). Conclusion: This study indicated that MAHs increase fasting glucose level and insulin resistance. Furthermore, these results suggested that absorbing the organic solvent itself and active metabolic intermediates can increase oxidative stress and cytokine levels, resulting in the changes in glucose metabolism and the induction of insulin resistance.

Outpatient Satisfaction at Private General Hospitals in Ho Chi Minh City, Vietnam

  • GIAO, Ha Nam Khanh;THY, Nguyen Thi Anh;VUONG, Bui Nhat;KIET, Truong Van;LIEN, Le Thi Phuong
    • The Journal of Asian Finance, Economics and Business
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    • 제7권7호
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    • pp.323-334
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    • 2020
  • The quality of hospital services remains a concern of both the manager and the patient. The study aims to identify factors affecting outpatient satisfaction at private general hospitals in Ho Chi Minh City, establishing a scale for measuring them. Some 450 outpatients who were treated in five top private hospitals in Ho Chi Minh city (HCMC) in 2019 - An Sinh General Hospital, Hoan My General Hospital, Columbia Asia International Hospital, FV Hospital, and Vu Anh International General Hospital - were interviewed directly in the last quarter of 2019 to obtain the information. The SERVPERF model, plus the cost, together with the SPSS software, have been used to process information by Cronbach's alpha analysis, Exploratory Factor analysis, and linear regression analysis. The results show that there are five factors influencing outpatient satisfaction at private general hospitals in HCMC, in which four factors affects positively in the order of decreasing importance: treatment outcome, doctors and nurses' professional capacity, facilities and environment of the hospital, hospital care, and the treatment time factor affects negatively. The results of the study provide private hospital in HCMC managers with a number of suggestions to increase the level of hospital service quality, so that increase outpatients satisfaction.

Effects of Climate Change on the Occurrence of Two Fly Families (Phoridae and Lauxaniidae) in Korean Forests

  • Kwon, Tae-Sung;Lee, Cheol Min;Jie, Okyoung;Kim, Sung-Soo;Jung, Sungcheol;Park, Young-Seuk
    • 생태와환경
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    • 제54권1호
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    • pp.71-77
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    • 2021
  • Using data from flies collected with pitfall traps in 365 forests on a nationwide scale in Korea, the abundance and distribution changes of two families (Phoridae and Lauxaniidae) in Korean forests were predicted at the genus level according to two climate change scenarios: RCP 4.5 and RCP 8.5. The most suitable temperature for the 17 major genera was estimated using a weighted average regression model. Stichillus and Anevrina displayed the lowest optimum temperature with 7.6℃ and 8.5℃ in annual mean temperature, respectively, whereas Chonocephalus had the highest optimum temperature with 12.1℃. Among thirty genera, seven genera (four from Phoridae and three from Lauxaniidae), which showed their abundance in a bell-type or linear pattern along the temperature gradient, were used for predicting the distribution changes according to the future climate change scenarios. All the taxa of this study are expected to decrease in abundance and distribution as a function of temperature increase. Moreover, cold-adapted taxa were found to be more affected than warm-adapted taxa.

담배 연기발생과 Tipping 재료와의 상관성 연구 (The Relationship Between Smoke-Yields and Tipping Materials of the Cigarette)

  • Kim, Young-Hoh;Lee, Young-Taek;Kim, Sung-Han;Kim, Chung-Ryul;Kim, Jong-Yeol;Shin, Chang-Ho;Lee, Keun-Hoi
    • 한국연초학회지
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    • 제20권1호
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    • pp.131-138
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    • 1998
  • In order to minimize the trial frequency in the new filter cigarette design, we studied the relationship between smoke yield and tipping materials of cigarette. A three levels full factorial design involving filament denier (X1,2.5-3.3d), Porosity of the acetate filter plug wrap (X2, 3,500-16,000CU) and porosity of the tip paper (X3, 400-1,200CU) was used. Three independent factors (Xl, X2, X3) were chosen for their effects on the various responses and the function was expressed in terms of a quadratic polynomial equation, Y : $\beta$o + $\beta$1Xl + $\beta$2X2 + $\beta$3X3 + $\beta$11Xl2 + $\beta$22X22+ $\beta$33X32 + $\beta$12X1X2 + $\beta$13XIX3 $\beta$23X2X3 which measures the linear, quadratic, and interaction effects. Twenty-nine trial numbers were obtained as a results of using a three levels full factorial design and it was analyzed by the multiple regression analysis with backward stepwise in STATISTICA/pc under restricted conditions. Tar yields of the cigarette was affected by porosity of tip paper (0.66), filament denier (0.47) and porosity of plug wrap (0.28) in the decreasing order, and linear effect of tip paper porosity (B3) and filament denier (91) were significant at a level of 0.01($\alpha$). The filament denier and tipping paper porosity interaction F ratio among three factors had a P-value of 0,000041, indicating higher interaction between these factors. Based on the analysis of variance, the model fitted for Tar (Y1) was significant at 5% confidence level and the coefficient of determination (0.96) was the proportion of variability in the data fitted for by the model.

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