• Title/Summary/Keyword: orthogonal regression

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Mechanics of orthogonal regression (직교 회귀의 역학적 고찰)

  • 채경철
    • The Korean Journal of Applied Statistics
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    • v.3 no.1
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    • pp.47-58
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    • 1990
  • Orthogonal regression is reviving due to the current development of software to control robotized coordinate measuring machines. Known features of orthogonal regression are summarized and geometry of the problem is interpreted in terms of equilibrium of force. A class example is given.

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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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    • v.5 no.5
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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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    • v.26 no.1
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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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    • v.25 no.2
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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.

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

  • 고희석;이세훈;이충식
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.16 no.2
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    • pp.98-103
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    • 2002
  • In case of power demand forecasting, the most important problems are to deal with the load of special-days. Accordingly, this paper presents the method that forecasting long (the Lunar New Year, the Full Moon Festival) and short(the Planting Trees Day, the Memorial Day, etc) special-days peak load using neural networks and regression models. long and short special-days peak load forecast by neural networks models uses pattern conversion ratio and four-order orthogonal polynomials regression models. There are using that special-days peak load data during ten years(1985∼1994). In the result of special-days peak load forecasting, forecasting % error shows good results as about 1 ∼2[%] both neural networks models and four-order orthogonal polynomials regression models. Besides, from the result of analysis of adjusted coefficient of determination and F-test, the significance of the are convinced four-order orthogonal polynomials regression models. When the neural networks models are compared with the four-order orthogonal polynomials regression models at a view of the results of special-days peak load forecasting, the neural networks models which uses pattern conversion ratio are more effective on forecasting long special-days peak load. On the other hand, in case of forecasting short special-days peak load, both are valid.

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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    • v.15 no.1
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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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    • v.26 no.1
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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.

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

  • 홍민성;염철만
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.10 no.2
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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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A Study on Analysis of Parameter for Optimal Surface Quality in Face Turning (단면 선삭가공에서 최적의 표면품위를 위한 피라미터 분석에 관한 연구)

  • Maeng, Min-Jae;Jang, Sung-Min
    • Journal of the Korean Society of Safety
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    • v.21 no.1 s.73
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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.