• 제목/요약/키워드: Regression Statistical Analysis

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Bayesian Typhoon Track Prediction Using Wind Vector Data

  • Han, Minkyu;Lee, Jaeyong
    • Communications for Statistical Applications and Methods
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    • 제22권3호
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    • pp.241-253
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    • 2015
  • In this paper we predict the track of typhoons using a Bayesian principal component regression model based on wind field data. Data is obtained at each time point and we applied the Bayesian principal component regression model to conduct the track prediction based on the time point. Based on regression model, we applied to variable selection prior and two kinds of prior distribution; normal and Laplace distribution. We show prediction results based on Bayesian Model Averaging (BMA) estimator and Median Probability Model (MPM) estimator. We analysis 8 typhoons in 2006 using data obtained from previous 6 years (2000-2005). We compare our prediction results with a moving-nest typhoon model (MTM) proposed by the Korea Meteorological Administration. We posit that is possible to predict the track of a typhoon accurately using only a statistical model and without a dynamical model.

Generalization of Fisher′s linear discriminant analysis via the approach of sliced inverse regression

  • Chen, Chun-Houh;Li, Ker-Chau
    • Journal of the Korean Statistical Society
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    • 제30권2호
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    • pp.193-217
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    • 2001
  • Despite of the rich literature in discriminant analysis, this complicated subject remains much to be explored. In this article, we study the theoretical foundation that supports Fisher's linear discriminant analysis (LDA) by setting up the classification problem under the dimension reduction framework as in Li(1991) for introducing sliced inverse regression(SIR). Through the connection between SIR and LDA, our theory helps identify sources of strength and weakness in using CRIMCOORDS(Gnanadesikan 1977) as a graphical tool for displaying group separation patterns. This connection also leads to several ways of generalizing LDA for better exploration and exploitation of nonlinear data patterns.

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Predicting Korea Pro-Baseball Rankings by Principal Component Regression Analysis (주성분회귀분석을 이용한 한국프로야구 순위)

  • Bae, Jae-Young;Lee, Jin-Mok;Lee, Jea-Young
    • Communications for Statistical Applications and Methods
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    • 제19권3호
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    • pp.367-379
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    • 2012
  • In baseball rankings, prediction has been a subject of interest for baseball fans. To predict these rankings, (based on 2011 data from Korea Professional Baseball records) the arithmetic mean method, the weighted average method, principal component analysis, and principal component regression analysis is presented. By standardizing the arithmetic average, the correlation coefficient using the weighted average method, using principal components analysis to predict rankings, the final model was selected as a principal component regression model. By practicing regression analysis with a reduced variable by principal component analysis, we propose a rank predictability model of a pitcher part, a batter part and a pitcher batter part. We can estimate a 2011 rank of pro-baseball by a predicted regression model. By principal component regression analysis, the pitcher part, the other part, the pitcher and the batter part of the ranking prediction model is proposed. The regression model predicts the rankings for 2012.

Local linear regression analysis for interval-valued data

  • Jang, Jungteak;Kang, Kee-Hoon
    • Communications for Statistical Applications and Methods
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    • 제27권3호
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    • pp.365-376
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    • 2020
  • Interval-valued data, a type of symbolic data, is given as an interval in which the observation object is not a single value. It can also occur frequently in the process of aggregating large databases into a form that is easy to manage. Various regression methods for interval-valued data have been proposed relatively recently. In this paper, we introduce a nonparametric regression model using the kernel function and a nonlinear regression model for the interval-valued data. We also propose applying the local linear regression model, one of the nonparametric methods, to the interval-valued data. Simulations based on several distributions of the center point and the range are conducted using each of the methods presented in this paper. Various conditions confirm that the performance of the proposed local linear estimator is better than the others.

Application and Understanding of Regression Analysis in the Quality Improvement Activities (식스시그마 품질개선 단계에서 GLM 회귀분석의 이해와 적용)

  • Choi, Sung-Woon
    • Proceedings of the Safety Management and Science Conference
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    • 대한안전경영과학회 2010년도 추계학술대회
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    • pp.539-550
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    • 2010
  • The study presents the application strategy and understanding of regression analysis with GLM(Generalized Linear Model) unifying with other statistical techniques such as correlation analysis and design of experiment(DOE). The quidelines proposed in this paper can be used for practioners to implement GLM and ANOVA(Analysis of Variance) for the DMAIC 5 steps of six sigma breakthrough.

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The Bivariate Kumaraswamy Weibull regression model: a complete classical and Bayesian analysis

  • Fachini-Gomes, Juliana B.;Ortega, Edwin M.M.;Cordeiro, Gauss M.;Suzuki, Adriano K.
    • Communications for Statistical Applications and Methods
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    • 제25권5호
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    • pp.523-544
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    • 2018
  • Bivariate distributions play a fundamental role in survival and reliability studies. We consider a regression model for bivariate survival times under right-censored based on the bivariate Kumaraswamy Weibull (Cordeiro et al., Journal of the Franklin Institute, 347, 1399-1429, 2010) distribution to model the dependence of bivariate survival data. We describe some structural properties of the marginal distributions. The method of maximum likelihood and a Bayesian procedure are adopted to estimate the model parameters. We use diagnostic measures based on the local influence and Bayesian case influence diagnostics to detect influential observations in the new model. We also show that the estimates in the bivariate Kumaraswamy Weibull regression model are robust to deal with the presence of outliers in the data. In addition, we use some measures of goodness-of-fit to evaluate the bivariate Kumaraswamy Weibull regression model. The methodology is illustrated by means of a real lifetime data set for kidney patients.

Relationship on Learning Environment's Distribution and Thinking Skills in Accounting Instruction

  • Nor Sa'adah JAMALUDDIN;Siti Zubaidah MOHD ARIFFIN
    • Journal of Distribution Science
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    • 제21권7호
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    • pp.33-40
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    • 2023
  • Purpose: Higher Order Thinking Skills is one of the important aspects in education that must be mastered by the students in order to be qualified in competing at international level. Success in mastering HOTS among the students is always linked to preparation of a good and conducive learning environment. However, does this connection impacts the students' HOTS achievement? Therefore, this research is carried out in order to evaluate the relationship between HOTS and learning environment with the main focus on Accounting Principle Elective Subject (MPEI PP). Research design, data and methodology: Research in the form of correlation is implied in this study and it involves 59 Form 5 students that has learned all syllabus in Form 4's MPEI PP. Results: Evaluation of HOTS level is based on Taxonomy Bloom that covers applying skill, analysing skill, evaluating skill, and creating skill. Result from data analysis found that there is a very weak correlation (r = 0.02) between the two variables with regression equation of average grade point = 75.023 + (-.273) Learning Environment. Conclusion: Thus, a non-significant relationship between HOTS and learning environment is successfully proven through correlation and regression statistical analysis.

Data Errors and Regression Analysis (資料誤差와 回歸分析)

  • 金順基
    • Journal of the Korean Statistical Society
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    • 제7권2호
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    • pp.101-104
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    • 1978
  • This paper considers the problem of estimating $\hat{\beta}$ in the case errors occur in observing the values of q-variables $X_1, X_2, ..., X_q$. The approximated estimator $\hat{\beta}(e)$ is obtained and its expected value, bias and covariance matrix are studied.

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Literature Review on the Statistical Methods in KSQM for 50 Years (품질경영학회 50주년 특별호: 통계적 기법 분야 연구 리뷰)

  • Lim, Yong Bin;Kim, Sang Ik;Lee, Sang Bok;Jang, Dae Heung
    • Journal of Korean Society for Quality Management
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    • 제44권2호
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    • pp.221-244
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    • 2016
  • Purpose: This research reviews the papers, published in the Journal of the Korean Society for Quality Control (KSQC) and the Journal of the Korean Society for Quality Management (KSQM) since 1965, in the area of statistical methods. The literature review is performed in the four fields of the statistical methods and we categorize the published articles into the several sub-areas in each field. Methods: The reviewed articles are classified into the four main categories: probability model and estimation, Bayesian analysis and non-parametric analysis, regression and time series analysis, and application of data analysis. We examine the contents and relationships of the published articles of the several sub-areas in each category. Results: We summarize the reviewed papers in the chronological road-maps for each sub-area, and outline the relations of the connected papers. Some comments on the contents and the contributions of the reviewed papers are also provided in this paper. Conclusion: Various issues are employed and published on the research of the application statistical methods for past 50 years, and many worthy works are achieved in the theory and application areas of statistical methods for improving quality in the manufacturing and service industries. The future direction of the research in the statistical quality management methods also can be explored by the contents of this research.

Type of Statistical Methods and Errors in the Journal of Korean Academy of Fundamentals of Nursing (기본간호학회지 게재 논문의 통계학적 방법 유형과 오류)

  • Choi, Eunhee
    • Journal of Korean Academy of Fundamentals of Nursing
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    • 제22권4호
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    • pp.452-457
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    • 2015
  • Purpose: In nursing research, studies using statistical methods are required and have increased. In this study, some statistical methods using in nursing study are summarized and appropriate usage is proposed. Methods: Twenty-five original articles from the Journal of Korean Academy of Fundamentals Nursing were reviewed. Statistical methods used in the Journal of Fundamentals Nursing were classified and common errors were presented. Results: Seventy-six statistical analysis were performed in the 25 studies. Among the articles, 28 cases contained errors. Most errors occurred in linear regression analysis and nonparametric analysis. Conclusion: When the use of statistical method is applied inappropriately, the result bring out a serious error. In order to ensure reliability and validity of study, researchers should recognize clear application and usage of statistical methods.