• Title/Summary/Keyword: OLS(Ordinary Least Square)

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A Study on the Treatment of Uncertainty in Linear Regression Method for Chemical Analysis (회귀식 사용에 따른 화학 분석 과정의 불확도 처리 연구)

  • Woo, Jin-Chun;Suh, JungKee;Lim, MyungChul;Park, MinSu
    • Analytical Science and Technology
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    • v.16 no.3
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    • pp.185-190
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    • 2003
  • We applied modified least square method (MLS) and ordinary least square method (OLS) to 1st order equation for the comparison of the uncertainties calculated by these methods. The uncertainty calculated by OLS covered statistically safe interval because it was over-estimated in many cases of measurement and concentration level. But, if the uncertainty of the concentration as a reference value was comparably large (about 5% of the relative standard deviation of random scattering from the regression line and about 7% of relative standard uncertainty of reference values), then uncertainty calculated by OLS was seriously under-estimated at high concentration level. It was revealed that the calculated uncertainty didn't cover statistically safe interval at the stated confidence level. It was found that the method, MLS, described in the previously article would be valid for this calculation of uncertainty.

A Study on Feed Back System for the Geotechnical Parameter Estimation in Underground Construction (지하구조물 건설시 역해석에 의한 지반특성치 산정)

  • 이인모;김동현
    • Proceedings of the Korean Geotechical Society Conference
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    • 1994.09a
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    • pp.191-198
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    • 1994
  • This paper deals with a feedback system for the estimation of geotechnical parameters in underground construction works. The Ordinary Least Square (OLS) Optimization Method is utilized and combined with Finite Element Program so that optimum values of ground properties can be estimated. The preperties that can be estimated are Young's and Brown's failure criteria is proposed.

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An Analytical Study of ICT Adoption based on Diffusion Innovation Theory (혁신확산이론을 바탕으로 한 정보통신기술의 수용요인에 관한 분석적 실증연구)

  • Lee Sang-Gun;Kang Min-Cheol;Kim Bo-Youn
    • The Journal of Information Systems
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    • v.14 no.2
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    • pp.257-276
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    • 2005
  • This study adopts diffusion of innovation theory and analyses product life cycle on two different information communication technology (ICT) products. One is telematics located on introduction and the other one is MP3 located on maturity. The analytical results were mixed. ordinary least square (OLS) result showed that adoption of MP3 player is affected by white noise error ($\varepsilon$) and telematics is influenced by innovation effect (p coefficient) rather than imitation effect (q coefficient) or white noise error. However, nonlinear least square (NLS) result showed that adoption of MP3 player is affected by imitation effect (q coefficient) rather than innovation effect (p coefficient). In addition, the ratio of imitation effect/innovation effect of MP3 player is larger than that of telematics.

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Jensen's Alpha Estimation Models in Capital Asset Pricing Model

  • Phuoc, Le Tan
    • The Journal of Asian Finance, Economics and Business
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    • v.5 no.3
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    • pp.19-29
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    • 2018
  • This research examined the alternatives of Jensen's alpha (α) estimation models in the Capital Asset Pricing Model, discussed by Treynor (1961), Sharpe (1964), and Lintner (1965), using the robust maximum likelihood type m-estimator (MM estimator) and Bayes estimator with conjugate prior. According to finance literature and practices, alpha has often been estimated using ordinary least square (OLS) regression method and monthly return data set. A sample of 50 securities is randomly selected from the list of the S&P 500 index. Their daily and monthly returns were collected over a period of the last five years. This research showed that the robust MM estimator performed well better than the OLS and Bayes estimators in terms of efficiency. The Bayes estimator did not perform better than the OLS estimator as expected. Interestingly, we also found that daily return data set would give more accurate alpha estimation than monthly return data set in all three MM, OLS, and Bayes estimators. We also proposed an alternative market efficiency test with the hypothesis testing Ho: α = 0 and was able to prove the S&P 500 index is efficient, but not perfect. More important, those findings above are checked with and validated by Jackknife resampling results.

The Effects of Entrepreneurship and Corporate Social Responsibility on Firm Performance (기업가 정신 및 기업의 사회적 책임과 기업의 경영성과 관계)

  • Seo, Joohwan
    • The Journal of the Korea Contents Association
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    • v.16 no.4
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    • pp.426-433
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    • 2016
  • This study investigates the effects of entrepreneurship and corporate social responsibility (CSR) on firm performance. I use the conditional quantile regression as well as the ordinary least square (OLS) with 300 samples, only medium and small size companies. I found firstly, entrepreneurship affected overall positively firm performance in the all quantile levels. Secondly, CSR also have a positive impact on firm performance in the overall all quantile levels. By these results, I recommend that entrepreneurship and CSR should a positive impact on the firm performance for the small and medium business companies.

Analysis of Long-term Linear Trends of the Sea Surface Height Along the Korean Coast based on Quantile Regression (분위회귀를 이용한 한반도 연안 해면 고도의 장주기 선형 추세 분석)

  • LIM, BYEONG-JUN;CHANG, YOU-SOON
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.23 no.2
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    • pp.63-75
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    • 2018
  • This study analyzed the long-term linear trends of the sea surface height around the Korea marginal seas for the period of 1993~2016 by using quantile regression. We found significant difference about 2~3 mm/year for the linear trend between OLS (ordinary least square) and median (50%) quantile regression especially in the Yellow Sea, which is affected by extreme events. Each area shows different trend for each quantile (lower (1%), median (50%) and upper (99%)). Most areas of the Yellow Sea show increasing trend in both low and upper quantile, but significant "upward divergence tendency". This implies that significant increasing trend of upper quantile is higher than that of lower quantile in this area. Meanwhile, South Sea of Korea generally shows "upward convergence tendency" representing that increasing trend of upper quantile is lower than that of lower quantile. This study also confirmed that these tendencies can be eliminated by removing major tidal components from the harmonic analysis. Therefore, it is assumed that the regional characteristics are related to the long term change of tide amplitude.

Exploring Spatial Patterns of Theft Crimes Using Geographically Weighted Regression

  • Yoo, Youngwoo;Baek, Taekyung;Kim, Jinsoo;Park, Soyoung
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.35 no.1
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    • pp.31-39
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    • 2017
  • The goal of this study was to efficiently analyze the relationships of the number of thefts with related factors, considering the spatial patterns of theft crimes. Theft crime data for a 5-year period (2009-2013) were collected from Haeundae Police Station. A logarithmic transformation was performed to ensure an effective statistical analysis and the number of theft crimes was used as the dependent variable. Related factors were selected through a literature review and divided into social, environmental, and defensive factors. Seven factors, were selected as independent variables: the numbers of foreigners, aged persons, single households, companies, entertainment venues, community security centers, and CCTV (Closed-Circuit Television) systems. OLS (Ordinary Least Squares) and GWR (Geographically Weighted Regression) were used to analyze the relationship between the dependent variable and independent variables. In the GWR results, each independent variable had regression coefficients that differed by location over the study area. The GWR model calculated local values for, and could explain the relationships between, variables more efficiently than the OLS model. Additionally, the adjusted R square value of the GWR model was 10% higher than that of the OLS model, and the GWR model produced a AICc (Corrected Akaike Information Criterion) value that was lower by 230, as well as lower Moran's I values. From these results, it was concluded that the GWR model was more robust in explaining the relationship between the number of thefts and the factors related to theft crime.

A Study on a Flood Frequency Analysis Guideline for Korea (국내 홍수빈도해석 지침서 수립을 위한 연구)

  • Kim, Young-Oh;Sung, Jang-Hyun;Seo, Seung-Beom;Lee, Kyoung-Teak
    • 한국방재학회:학술대회논문집
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    • 2010.02a
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    • pp.53.2-53.2
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    • 2010
  • 국내 홍수빈도해석 지침서 제공을 위한 기초 연구로서 미국 홍수빈도해석 지침서인 Bulletin 17B과 같이 국내 적합한 홍수빈도해석 기법을 제시하고자 하였다. 홍수빈도해석 지침서의 핵심은 확률분포형과 매개변수 추정법을 제시하는 것이며 이에 GEV(Generalized Extreme Value), GLO(Generalized Logistic) 분포, B-GLS(Bayesian Generalized Least Square) 기법을 대상으로 다양한 연구를 수행하였다. B-GLS 기법을 이용하여, 국내 대유역에 골고루 위치하며 댐의 영향을 받지 않는 31개 지점의 연최대 일유량 시계열의 L-변동계수(L-moment coefficient variation)와 L-왜도계수(L-moment coefficient skewness)를 추정할 수 있는 회귀모형을 제안하였다. 위 회귀모형을 구성하기 위한 유역특성으로는 유역면적, 유역경사, 유역평균강우 등을 사용하였다. Bayesian-GLS(B-GLS) 적용 결과를 OLS(Ordinary Least Square) 및 B-GLS 기법에서 지점간의 상관관계를 고려하지 않는 Bayesian-WLS(Weighted Least Square)와 비교 평가하여 그 우수성을 입증하였다. 따라서 본 연구에서 제안된 B-GLS에 의한 지역회귀모형은 국내의 미계측유역이나 또는 관측 길이가 짧은 계측유역의 홍수빈도분석을 위해 매우 유용할 것으로 기대된다. 또한 수행된 연구의 내용을 공론화하는 노력이 계속된다면 공감대가 형성된 가이드라인을 제정되는데 일조를 하리라 확신한다.

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Methods of Combining P-values for Multiple Endpoints of Various Data Types (제 3상 임상시험에서 여러 형태 반응변수의 다변량 검정법인 P값 병합법)

  • Kim, Su-Young;Song, Hae-Hiang
    • The Korean Journal of Applied Statistics
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    • v.21 no.1
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    • pp.35-51
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    • 2008
  • Comparative studies in Phase III clinical trials quite often involve two or more equally important endpoints, and one cannot select primary endpoint from them. O'Brien(1984) proposed for continuous endpoints the OLS and GLS statistics as milti-variate test statistics. Pocock et al. (1987) mentioned the possibility of analyzing a mixture of data types, such as quantitative, binary and survival data types, with the OLS and GLS statistics, but the authors did not explore problems in combining several endpoints of different types. Furthermore, they did not perform a simulation study to assess the efficiencies of the OLS and GLS statistics for endpoints of a mixture of data types. In this paper, we propose the combining methods of correlated P-values for the analysis of multiple endpoints, and compare the efficiencies of this method with those of OLS and GLS statistics for a mixture of data types with a simulation study. Among the several methods of combining P-values that are more advantageous than combining of OLS and GLS statistics, method B maintains nominal significance levels and is more efficient, while method F and G have type I error rates that are larger than the specified significance levels, which might occasionally lead to a wrong conclusion.

A Comparative Study on the Goodness of Fit in Spatial Econometric Models Using Housing Transaction Prices of Busan, Korea (부산시 실거래 주택매매 가격을 이용한 공간계량모형의 적합도 비교연구)

  • Chung, Kyoun-Sup;Kim, Sung-Woo;Lee, Yang-Won
    • Journal of the Korean Association of Geographic Information Studies
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    • v.15 no.1
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    • pp.43-51
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    • 2012
  • The OLS(ordinary least squares) method is widely used in hedonic housing models. One of the assumptions of the OLS is an independent and uniform distribution of the disturbance term. This assumption can be violated when the spatial autocorrelation exists, which in turn leads to undesirable estimate results. An alterative to this, spatial econometric models have been introduced in housing price studies. This paper describes the comparisons between OLS and spatial econometric models using housing transaction prices of Busan, Korea. Owing to the approaches reflecting spatial autocorrelation, the spatial econometric models showed some superiority to the traditional OLS in terms of log likelihood and sigma square(${\sigma}^2$). Among the spatial models, the SAR(Spatial Autoregressive Models) seemed more appropriate than the SAC(General Spatial Models) and the SEM(Spatial Errors Models) for Busan housing markets. We can make sure the spatial effects on housing prices, and the reconstruction plans have strong impacts on the transaction prices. Selecting a suitable spatial model will play an important role in the housing policy of the government.