• 제목/요약/키워드: orthogonal regression

검색결과 87건 처리시간 0.028초

직교 회귀의 역학적 고찰 (Mechanics of orthogonal regression)

  • 채경철
    • 응용통계연구
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    • 제3권1호
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    • pp.47-58
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    • 1990
  • 로보트화된 좌표측정기에 사용됨에 따라, 직교 회귀가 이제는 단순히 흥미로운 수학문제로 그치지 않게 되었다. 특히, 공학 전공 학생을 대상으로 하는 기초 통계학 과목에서 간단히나마 다룰만한 문제가 되었다고 본다. 직교 회귀의 핵심 개념을 간략히 정리한다. 아울러 직교 회귀의 기하학적 구조를 공학 전공 학생들이 잘 알고 있는 역학적 개념으로 설명함으로써 학생들이 쉽게 이해하고 또한 사고의 폭을 넓히는데 도움이 되고자 한다.

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Prediction of product parameters of fly ash cement bricks using two dimensional orthogonal polynomials in the regression analysis

  • Chakraverty, S.;Saini, Himani;Panigrahi, S.K.
    • Computers and Concrete
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    • 제5권5호
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    • pp.449-459
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    • 2008
  • This paper focuses on the application of two dimensional orthogonal polynomials in the regression analysis for the relationship of product parameters viz. compressive strength, bulk density and water absorption of fly ash cement bricks with other process parameters such as percentages of fly ash, sand and cement. The method has been validated by linear and non-linear two parameter regression models. The use of two dimensional orthogonal system makes the analysis computationally efficient, simple and straight forward. Corresponding co-efficient of determination and F-test are also reported to show the efficacy and reliability of the relationships. By applying the evolved relationships, the product parameters of fly ash cement bricks may be approximated for the use in construction sectors.

Partially linear support vector orthogonal quantile regression with measurement errors

  • Hwang, Changha
    • Journal of the Korean Data and Information Science Society
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    • 제26권1호
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    • pp.209-216
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    • 2015
  • Quantile regression models with covariate measurement errors have received a great deal of attention in both the theoretical and the applied statistical literature. A lot of effort has been devoted to develop effective estimation methods for such quantile regression models. In this paper we propose the partially linear support vector orthogonal quantile regression model in the presence of covariate measurement errors. We also provide a generalized approximate cross-validation method for choosing the hyperparameters and the ratios of the error variances which affect the performance of the proposed model. The proposed model is evaluated through simulations.

Quantile regression with errors in variables

  • Shim, Jooyong
    • Journal of the Korean Data and Information Science Society
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    • 제25권2호
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    • pp.439-446
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    • 2014
  • Quantile regression models with errors in variables have received a great deal of attention in the social and natural sciences. Some eorts have been devoted to develop eective estimation methods for such quantile regression models. In this paper we propose an orthogonal distance quantile regression model that eectively considers the errors on both input and response variables. The performance of the proposed method is evaluated through simulation studies.

신경회로망과 회귀모형을 이용한 특수일 부하 처리 기법 (Special-Days Load Handling Method using Neural Networks and Regression Models)

  • 고희석;이세훈;이충식
    • 조명전기설비학회논문지
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    • 제16권2호
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    • pp.98-103
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    • 2002
  • 전력수요를 예측할 경우 가장 중요한 문제 중의 하나가 특수일 부하의 처리문제이다. 따라서 본 연구에서 길고(구정, 추석) 짧은(식목일, 현충일 등) 특수일 피크 부하를 신경회로망과 회귀모형을 이용하여 예측하는 방법을 제시한다. 신경회로망 모형의 특수일 부하 처리는 패턴 변환비를 이용하며, 4차의 직교 다항 회귀모형은 과거의 10년 (1985∼1994)간의 특수일 피크부하 자료를 이용하여 길고 짧은 특수일 부하를 예측한다. 특수일 피크 부하를 예측한 결과, 신경회로망 모형의 주간 평균 예측 오차율과 직교 다항 회귀모형의 예측 오차율을 분석한 결과 1∼2[%]대로 두 모형 모두 양호한 결과를 얻었다. 또한 4차의 직교 다항 회귀 모형의 수정결정계수 및 F 검정을 분석한 결과 구성한 예측 모형의 타당성을 확인하였다. 두 모형의 특수일 부하를 예측한 결과를 비교해 보면 긴 특수일 부하를 예측할 때는 패턴 변환비를 이용한 신경회로망 모형이 보다 더 효과적이었고, 짧은 특수일 부하를 예측할 경우에는 두 방법 모두 유효하였다.

Some Remarks on the Likelihood Inference for the Ratios of Regression Coefficients in Linear Model

  • Kim, Yeong-Hwa;Yang, Wan-Yeon;Kim, M.J.;Park, C.G.
    • Journal of the Korean Data and Information Science Society
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    • 제15권1호
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    • pp.251-261
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    • 2004
  • The paper focuses primarily on the standard linear multiple regression model where the parameter of interest is a ratio of two regression coefficients. The general model includes the calibration model, the Fieller-Creasy problem, slope-ratio assays, parallel-line assays, and bioequivalence. We provide an orthogonal transformation (cf. Cox and Reid (1987)) of the original parameter vector. Also, we give some remarks on the difficulties associated with likelihood based confidence interval.

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A two-step approach for variable selection in linear regression with measurement error

  • Song, Jiyeon;Shin, Seung Jun
    • Communications for Statistical Applications and Methods
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    • 제26권1호
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    • pp.47-55
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    • 2019
  • It is important to identify informative variables in high dimensional data analysis; however, it becomes a challenging task when covariates are contaminated by measurement error due to the bias induced by measurement error. In this article, we present a two-step approach for variable selection in the presence of measurement error. In the first step, we directly select important variables from the contaminated covariates as if there is no measurement error. We then apply, in the following step, orthogonal regression to obtain the unbiased estimates of regression coefficients identified in the previous step. In addition, we propose a modification of the two-step approach to further enhance the variable selection performance. Various simulation studies demonstrate the promising performance of the proposed method.

선반작업에서 직교계획법을 이용한 표면 거칠기 예측모델에 관한 연구 (A Study on the Prediction Model of Surface Roughness by the Orthogonal Design for Turning Process)

  • 홍민성;염철만
    • 한국공작기계학회논문집
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    • 제10권2호
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    • pp.89-94
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    • 2001
  • This paper presents a study of surface roughness prediction model by orthogonal design in turning operation. Regression analysis technique has been used to study the effects of the cutting parameters such as cutting speed, feed depth of cut, and nose radius on surface roughness. An effect of interaction between two parameters on surface roughness has also been investigated. The experiment has been conducted using coated tungsten carbide inserts without cutting fluid. The reliability of the surface roughness model as a function of the cutting parameters has been estimated. The results show that the experimental design used in turning process is a method to estimate the effects of cutting parameters on sur-face roughness.

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단면 선삭가공에서 최적의 표면품위를 위한 피라미터 분석에 관한 연구 (A Study on Analysis of Parameter for Optimal Surface Quality in Face Turning)

  • 맹민재;장성민
    • 한국안전학회지
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    • 제21권1호
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    • pp.21-27
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    • 2006
  • In this paper, object of experiment is to study on the effect parameters to obtain optimal surface roughness in face turning. Surface roughness is significantly important to be high quality of parts produced by turning process. For this purpose, the optimization of cutting parameters for face turning operation is investigated applying the Taguchi method. An orthogonal array, signal-to-noise, and the analysis of variance are employed to evaluate effect of cutting parameters for face turning. Also confirmation tests were performed to make a comparison between the results predicted from the mentioned correlations and the theoretical results. Cutting experiment is performed without cutting fluid using coated tungsten carbide insert about workpiece of SM45C. And regression analysis technique has been used to study the effects of the cutting parameters.