• 제목/요약/키워드: Quadratic Regression

검색결과 248건 처리시간 0.025초

건구온파를 오인한 장기최대전력수요예측에 관한 연구 (Long-Term Maximum Power Demand Forecasting in Consideration of Dry Bulb Temperature)

  • 고희석;정재길
    • 대한전기학회논문지
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    • 제34권10호
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    • pp.389-398
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    • 1985
  • Recently maximum power demand of our country has become to be under the great in fluence of electric cooling and air conditioning demand which are sensitive to weather conditions. This paper presents the technique and algorithm to forecast the long-term maximum power demand considering the characteristics of electric power and weather variable. By introducing a weather load model for forecasting long-term maximum power demand with the recent statistic data of power demand, annual maximum power demand is separated into two parts such as the base load component, affected little by weather, and the weather sensitive load component by means of multi-regression analysis method. And we derive the growth trend regression equations of above two components and their individual coefficients, the maximum power demand of each forecasting year can be forecasted with the sum of above two components. In this case we use the coincident dry bulb temperature as the weather variable at the occurence of one-day maximum power demand. As the growth trend regression equation we choose an exponential trend curve for the base load component, and real quadratic curve for the weather sensitive load component. The validity of the forecasting technique and algorithm proposed in this paper is proved by the case study for the present Korean power system.

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Comparison of linear and non-linear equation for the calibration of roxithromycin analysis using liquid chromatography/mass spectrometry

  • Lim, Jong-Hwan;Yun, Hyo-In
    • 대한수의학회지
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    • 제50권1호
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    • pp.11-17
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    • 2010
  • Linear and non-linear regressions were used to derive the calibration function for the measurement of roxithromycin plasma concentration. Their results were compared with weighted least squares regression by usual weight factors. In this paper the performance of a non-linear calibration equation with the capacity to account empirically for the curvature, y = ax$^{b}$ + c (b $\neq$ 1) is compared with the commonly used linear equation, y = ax + b, as well as the quadratic equation, y = ax$^{2}$+ bx + c. In the calibration curve (range of 0.01 to 10 ${\mu}g/mL$) of roxithromycin, both heteroscedasticity and nonlinearity were present therefore linear least squares regression methods could result in large errors in the determination of roxithromycin concentration. By the non-linear and weighted least squares regression, the accuracy of the analytical method was improved at the lower end of the calibration curve. This study suggests that the non-linear calibration equation should be considered when a curve is required to be fitted to low dose calibration data which exhibit slight curvature.

커널 제약식을 이용한 다중 비교차 분위수 함수의 순차적 추정법 (Stepwise Estimation for Multiple Non-Crossing Quantile Regression using Kernel Constraints)

  • 방성완;전명식;조형준
    • 응용통계연구
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    • 제26권6호
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    • pp.915-922
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    • 2013
  • 분위수 회귀는 반응변수의 조건부 분위수 함수를 추정함으로써 반응변수와 예측변수의 관계에 대한 포괄적인 정보를 제공한다. 그러나 여러 개의 분위수 함수를 개별적으로 추정하게 되면 이들이 서로 교차할 가능성이 있으며, 이러한 분위수 함수의 교차(quantile crossing) 현상 분위수의 이론적 기본 특성에 위배된다. 본 논문에서는 다중 비교차 분위수 함수의 추정을 위해 커널 계수에 제약식을 부여하는 순차적 추정법을 제안하였으며, 모의실험을 통해 제안한 방법론의 효율적인 성능과 유용성을 확인하였다.

근적외 분석법을 응용한 사과의 생잎과 건조잎의 질소분석 (Determination of Nitrogen in Fresh and Dry Leaf of Apple by Near Infrared Technology)

  • 장광재;서상현;강연복;한효일;박우철
    • 한국토양비료학회지
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    • 제37권4호
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    • pp.259-265
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    • 2004
  • 사과의 영양진단에서 사과잎 분석을 신속히 하기 위한 방법을 모색하기 위해 생잎과 건조잎을 이용해 근적의 스펙트럼을 측정하고 이를 질소 함량과의 최적의 상관관계를 도출하기 위해 부분소자승(PLS)과 주성분회귀(PCR)과 같은 다변량 분석법을 이용하여 비파괴 검량식을 작성하였다. 또한 검량식 작성에서 비파괴 측정 정확도를 향상시키기 위하여 smoothing, mean normalization, multiplicative scatter correction (MSC). derivative 등의 다양한 데이터 전처리 조작을 수행하여 정확도 향상 가능성을 조사하였다. 사과 건조잎의 비파괴 측정 가능성을 조사한 결과 PLS-1 모델에서 Norris first derivate하였을 태 RMSEP가 $0.6999g\;kg^{-1}$ 로 가장 좋았으며, 생잎은 Savitzky-Golay first derivate하였을 때에 RMSEP 가 $1.202g\;kg^{-1}$으로 가장 좋았다. 건조잎의 PCR 모델은 mean normalization 처리 후 Savitzky-Golay first derivative하였을 때가 RMSEP 가 $0.553g\;kg^{-1}$, 이었으며 생잎에서도 RMSEP는 $1.047g\;kg^{-1}$로 나타났다. 이와 같은 견과로서 사과의 생잎과 건조잎의 분석이 근적외분석기술에 의해 가능할 것으로 판단된다.

로지스틱회귀모형의 변수선택에서 로그-오즈 그래프를 통한 로그-밀도비 연구 (A study on log-density with log-odds graph for variable selection in logistic regression)

  • 강명욱;신은영
    • Journal of the Korean Data and Information Science Society
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    • 제23권1호
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    • pp.99-111
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    • 2012
  • 반응변수가 주어졌을 때 설명변수의 조건부 확률분포의 로그-밀도비는 로지스틱회귀모형에서 어떤 설명변수가 어떻게 모형에 포함되는지에 대한 변수선택문제에서 유용한 정보를 제공한다. 설명변수의 조건부 확률분포가 좌우대칭이 아닌 경우 감마분포로 가정하는 것이 적절하고 이 경우 x항과 log(x)항이 모형에 포함되어야 한다. 로그-오즈 그래프는 변수선택문제를 연구하는데 매우 중요한 도구가 된다. 이러한 그래픽적 연구에 의하면, x|y = 0과 x|y = 1의 두 분포가 겹치는 경우에서는 x항과 log(x)항 모두 필요하다. 그리고 두 분포가 분리된 경우에는 x항 또는 log(x)항 중 하나만 필요하다.

대용량 자료의 분석을 위한 분할정복 커널 분위수 회귀모형 (Divide and conquer kernel quantile regression for massive dataset)

  • 방성완;김재오
    • 응용통계연구
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    • 제33권5호
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    • pp.569-578
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    • 2020
  • 분위수 회귀모형은 반응변수의 조건부 분위수 함수를 추정함으로써 반응변수와 예측변수의 관계에 대한 포괄적인 정보를 제공한다. 특히 커널 분위수 회귀모형은 비선형 관계식을 고려하기 위하여 양정치 커널함수(kernel function)에 의해 만들어지는 재생 커널 힐버트 공간(reproducing kernel Hilbert space)에서 비선형 조건부 분위수 함수를 추정한다. 그러나 KQR은 이차계획법으로 공식화되어 많은 계산비용을 필요로 하므로 컴퓨터 메모리 능력의 제한으로 대용량 자료의 분석은 불가능하다. 이러한 문제점을 해결하기 위하여 본 논문에서는 분할정복(divide and conquer) 알고리즘을 활용한 KQR 추정법(DC-KQR)을 제안한다. DC-KQR은 먼저 전체 훈련자료를 몇 개의 부분집합으로 무작위로 분할(divide)한 후, 각각의 부분집합에 대하여 KQR 분위수 함수를 추정하고 이들의 산술 평균을 이용하여 최종적인 추정량으로 통합(conquer)하는 기법이다. 본 논문에서는 모의실험과 실제자료 분석을 통해 제안한 DC-KQR의 효율적인 성능과 활용 가능성을 확인하였다.

Metabolic Signatures of Adrenal Steroids in Preeclamptic Serum and Placenta Using Weighting Factor-Dependent Acquisitions

  • Lee, Chaelin;Oh, Min-Jeong;Cho, Geum Joon;Byun, Dong Jun;Seo, Hong Seog;Choi, Man Ho
    • Mass Spectrometry Letters
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    • 제13권1호
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    • pp.11-19
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    • 2022
  • Although translational research is referred to clinical chemistry measures, correct weighting factors for linear and quadratic calibration curves with least-squares regression algorithm have not been carefully considered in bioanalytical assays yet. The objective of this study was to identify steroidogenic roles in preeclampsia and verify accuracy of quantitative results by comparing two different linear regression models with weighting factor of 1 and 1/x2. A liquid chromatography-mass spectrometry (LC-MS)-based adrenal steroid assay was conducted to reveal metabolic signatures of preeclampsia in both serum and placenta samples obtained 15 preeclamptic patients and 17 age-matched control pregnant women (33.9 ± 4.2 vs. 32.8 ± 5.6 yr, respectively) at 34~36 gestational weeks. Percent biases in the unweighted model (wi = 1) were inversely proportional to concentrations (-739.4 ~ 852.9%) while those of weighted regression (wi = 1/x2) were < 18% for all variables. The optimized LC-MS combined with the weighted linear regression resulted in significantly increased maternal serum levels of pregnenolone, 21-deoxycortisol, and tetrahydrocortisone (P < 0.05 for all) in preeclampsia. Serum metabolic ratio of (tetrahydrocortisol + allo-tetrahydrocortisol) / tetrahydrocortisone indicating 11β-hydroxysteroid dehydrogenase type 2 was decreased (P < 0.005) in patients. In placenta, local concentrations of androstenedione were changed while its metabolic ratio to 17α-hydroxyprogesterone responsible for 17,20-lyase activity was significantly decreased in patients (P = 0.002). The current bioanalytical LC-MS assay with corrected weighting factor of 1/x2 may provide reliable and accurate quantitative outcomes, suggesting altered steroidogenesis in preeclampsia patients at late gestational weeks in the third trimester.

Estimation of Genetic Parameters for Economic Traits of Hanwoo Cows Using Ultrasound

  • Choy, Yun-Ho;Son, Jun-Kyu;Kong, Hong-Sik;Lee, Hak-Kyo;Park, Kyung-Do
    • Journal of Animal Science and Technology
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    • 제53권6호
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    • pp.505-509
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    • 2011
  • This experiment was conducted to estimate the genetic parameters and breeding values of the economic traits measured from the cows (aged 15 months or older) using ultrasound and to use them as the information for the selection of stock animals at the farm level. The means and standard deviations of longissimus muscle area, backfat thickness and marbling score were $54.11\;cm^2{\pm}9.06$, $3.57\;mm{\pm}2.45$ and $2.65{\pm}2.88$, respectively. While the linear regression coefficients of longissimus muscle area, backfat thickness and marbling score for age (in months) were all positive (0.3532, 0.0868 and 0.0833), the quadratic regression coefficients of them for age (in months) were all negative (-0.0023, -0.0005 and -0.0006), and as the body condition score increased longissimus muscle area, backfat thickness and marbling score increased collectively. The heritability estimates for the longissimus muscle area, backfat thickness and marbling score were 0.39, 0.48 and 0.13, respectively and the estimated annual genetic gains for the longissimus muscle area, backfat thickness and marbling score were 0.00334 $cm^2$, -0.0073 mm and 0.0043 score, respectively, which were not significantly different from zero.

실험계획법을 이용한 전자부품 위치정렬장치 최적 운영조건 사례연구 (A Study on Optimal Operation Conditions for an Electronic Device Alignment System by Using Design of Experiments)

  • 이동헌;이미림;배석주
    • 품질경영학회지
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    • 제43권3호
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    • pp.453-466
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    • 2015
  • Purpose: The purpose of this study is to design a systematic method to estimate optimal operation conditions of design variables for an electronic device alignment system. Method: The 2-level factorial design and the central composite design are used in order to plan experiments. Based on the experiment results, a regression model is established to find optimal conditions for the design variables. Results: 3 of 5 design variables are selected as major factors that affect the alignment system significantly. The optimized condition for each variable is estimated by using a sequential experiment plan and a quadratic regression model. Conclusion: The method designed in this study provides an efficient and systematic plan to select the optimized operation condition for the design variables. The method is expected to improve inspection accuracy of the system and reduce the development cost and period.

Experimental analysis and modeling of steel fiber reinforced SCC using central composite design

  • Kandasamy, S.;Akila, P.
    • Computers and Concrete
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    • 제15권2호
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    • pp.215-229
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    • 2015
  • The emerging technology of self compacting concrete, fiber reinforcement together reduces vibration and substitute conventional reinforcement which help in improving the economic efficiency of the construction. The objective of this work is to find the regression model to determine the response surface of mix proportioning Steel Fiber Reinforced Self Compacting Concrete (SFSCC) using statistical investigation. A total of 30 mixtures were designed and analyzed based on Design of Experiment (DOE). The fresh properties of SCC and mechanical properties of concrete were studied using Response Surface Methodology (RSM). The results were analyzed by limited proportion of fly ash, fiber, volume combination ratio of two steel fibers with aspect ratio of 50/35: 60/30 and super plasticizer (SP) dosage. The center composite designs (CCD) have selected to produce the response in quadratic equation. The model responses included in the primary stage were flowing ability, filling ability, passing ability and segregation index whereas in harden stage of concrete, compressive strength, split tensile strength and flexural strength at 28 days were tested. In this paper, the regression model and the response surface plots have been discussed, and optimal results were found for all the responses.