• Communications for Statistical Applications and Methods
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• 제31권3호
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• pp.263-277
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• 2024

This paper proposes new parameterizations of the tilted beta binomial distribution, obtained from the combination of the binomial distribution and the tilted beta distribution, where the beta component of the mixture is parameterized as a function of their mean and variance. These new parameterized distributions include as particular cases the beta rectangular binomial and the beta binomial distributions. After that, we propose new linear regression models to deal with overdispersed binomial datasets. These new models are defined from the proposed new parameterization of the tilted beta binomial distribution, and assume regression structures for the mean and variance parameters. These new linear regression models are fitted by applying Bayesian methods and using the OpenBUGS software. The proposed regression models are fitted to a school absenteeism dataset and to the seeds germination rate according to the type seed and root.

• Journal of the Korean Data and Information Science Society
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• 제28권3호
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• pp.547-557
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• 2017

건강 관련 삶의 질 자료는 정규분포를 따르지 않고 치우친 분포를 보이며, 등분산 가정을 만족하지 않는 경우가 대부분이다. 또한 건강 관련 삶의 질 자료는 범위가 정해져 있는 자료이며, 건강한 상태를 나타내는 경우 최대값을 가지는 천장효과가 있는 자료이다. 본 연구에서는 건강 관련 삶의 질 자료인 EQ-5D에 대해 선형회귀모형과 베타회귀모형, 그리고 평균과 정밀도에 대한 하위모형을 가지고 있는 확장된 베타회귀모형을 이용하여 예측모형을 개발하고 모형의 예측 정확도를 비교하였다. 선형회귀모형에 비해 확장된 베타회귀모형의 예측 정확도가 높기는 하지만 신뢰구간이 겹치고 있기 때문에 확장된 베타회귀모형의 정확도가 더 높다고 할 수는 없다. 하지만 확장된 베타회귀모형은 공변량에 따라 분산이 달라지는 부분을 설명할 수 있으며 선형회귀모형이 제한된 범위를 벗어난 값을 예측하는 부분을 개선할 수 있다. 따라서 범위가 제한되고 이분산이 있는 치우친 자료에 대해 공변량들이 평균 및 정밀도에 영향을 주는 정도를 동시에 고려하는 확장된 베타회귀모형은 건강 관련 삶의 질 자료인 EQ-5D를 분석하는 방법으로 적절하다고 할 수 있다.

• 동아시아식생활학회지
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• 제17권6호
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• pp.963-971
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• 2007

This research aimed to determine the relationship between hotel restaurants' SCM activities and their results. The samples are included exclusive high-end hotels located in the seoul area. To analyze the data, frequency analysis, reliability analysis, factor analysis, and regression analysis were applied. Multiple regression analysis showed that SCM activities (${\beta}$=.342, p<.000), information sharing (${\beta}$=.136, p<.006), and cooperative activities (${\beta}$=.120, p<.015) had a significant impact on financial performance. The explanatory power of this model was 14%, and there was statistical significance in the regression model. SCM activities(${\beta}$=.221, p<.000), information sharing (${\beta}$=.475, p<.000), and cooperative activities (${\beta}$=.172, p<.000) also had a significant impact on non-financial performance, and the explanatory power of this model was 29%, with statistical significance in the regression model.

• Communications for Statistical Applications and Methods
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• 제1권1호
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• pp.102-111
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• 1994

We Propose a method of sensitivity analysis in latent root regression analysis (LRRA). For this purpose we derive the quantities ${\beta\limits^\wedge \;_{LRR}}^{(1)}$, which correspond to the theoretical influence function $I(x, y \;;\;\beta\limits^\wedge \;_{LRR})$ for the regression coefficient ${\beta\limits^\wedge}_{LRR}$ based on LRRA. We give a numerical example for illustration and also investigate numerically the relationship between the estimated values of ${\beta\limits^\wedge \;_{LRR}}^{(1)}$ with the values of the other measures called sample influence curve(SIC) based on the recomputation for the data with a single observation deleted. We also discuss the comparision among the results of LRRA, ordinary least square regression analysis (OLSRA) and ridge regression analysis(RRA).

• 응용통계연구
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• 제37권3호
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• pp.339-353
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• 2024

비율자료와 같이 반응변수가 제한된 구간에 속하는 경우 비대칭성이나 이분산성의 문제들로 인해 정규성 가정을 기반으로 하는 회귀모형의 적용은 부정확한 결과가 도출될 수 있다. 이러한 경우 대안으로 베타회귀모형이 고려된다. 베타회귀모형은 베타분포를 평균과 정밀도 모수로 재모수화 하였을 때, 반응변수가 베타분포를 따른다는 가정하에 평균과 정밀도에 대한 하위모형을 갖는 회귀모형으로 자료의 이분산성을 쉽게 고려할 수 있다. 본 연구에서는 두 가지 실증분석에서 비율자료에 베타회귀모형을 적합하여 분석하고자 한다. 특히, 제6기 국민 건강조사자료를 통해 흡연율과 커피 섭취와의 연관성을, COVID-19 자료를 기반으로 미국의 지역 특성들과 누적 사망률의 연관성을 고찰한다. 각 분석에서는 보통최소제곱 회귀모형과 베타회귀모형 및 확장된 베타회귀모형을 적용하여 최적의 모형을 선택하고 결과를 해석한다. 분석의 결과는 비율자료에서 베타회귀모형 및 확장된 베타회귀모형 적용의 적절성을 입증한다.

• Asian Pacific Journal of Cancer Prevention
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• 제17권sup3호
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• pp.113-117
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• 2016

Quantile regression is an efficient method for predicting and estimating the relationship between explanatory variables and percentile points of the response distribution, particularly for extreme percentiles of the distribution. To study the relationship between urbanization and cancer morbidity, we here applied quantile regression. This cross-sectional study was conducted for 9 cancers in 345 cities in 2007 in Iran. Data were obtained from the Ministry of Health and Medical Education and the relationship between urbanization and cancer morbidity was investigated using quantile regression and least square regression. Fitting models were compared using AIC criteria. R (3.0.1) software and the Quantreg package were used for statistical analysis. With the quantile regression model all percentiles for breast, colorectal, prostate, lung and pancreas cancers demonstrated increasing incidence rate with urbanization. The maximum increase for breast cancer was in the 90th percentile (${\beta}$=0.13, p-value<0.001), for colorectal cancer was in the 75th percentile (${\beta}$=0.048, p-value<0.001), for prostate cancer the 95th percentile (${\beta}$=0.55, p-value<0.001), for lung cancer was in 95th percentile (${\beta}$=0.52, p-value=0.006), for pancreas cancer was in 10th percentile (${\beta}$=0.011, p-value<0.001). For gastric, esophageal and skin cancers, with increasing urbanization, the incidence rate was decreased. The maximum decrease for gastric cancer was in the 90th percentile(${\beta}$=0.003, p-value<0.001), for esophageal cancer the 95th (${\beta}$=0.04, p-value=0.4) and for skin cancer also the 95th (${\beta}$=0.145, p-value=0.071). The AIC showed that for upper percentiles, the fitting of quantile regression was better than least square regression. According to the results of this study, the significant impact of urbanization on cancer morbidity requirs more effort and planning by policymakers and administrators in order to reduce risk factors such as pollution in urban areas and ensure proper nutrition recommendations are made.

• 동아시아식생활학회지
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• 제23권6호
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• pp.862-870
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• 2013

This study examines the effect of communication type of food service employees on the self-efficiency and organizational commitment. To accomplish the purpose of the study, a survey was conducted to employees of food service companies located in Seoul, from August 5, 2013 to August 25, 2013 as a method of empirical study. The results of this study was analyzed using the SPSS WIN 12.0 and statistical reliability analysis, factor analysis, frequency analysis, correlation analysis and multiple regression analysis were conducted for hypothesis verification. The analysis results of this study are as follows. First, the R-square of regression result for 'communication type will have a positive effect on self-efficiency' was .220. Also, it was found that factors of consideration (Beta=.286, t=5.622), instruction (Beta=.303, t=5.970) and business (Beta=.214, t=4.217) had positive effects on self-efficiency. Values for factors of consideration and instruction were higher than business. Second, the R-square of regression result for 'communication type will have a positive effect on organizational commitment' was .429. Also, it was found that factors of consideration (Beta=.453, t=10.428), instruction (Beta=.380, t=8.749) and business (Beta=.282, t=6.477) had positive effects on organizational commitment. Values for factors of instruction and business were high but value of consideration factor turned out the highest. Third, the R-square of regression result for 'self-efficiency will have a positive effect on organizational commitment' was .334. Also, it was found that out of the factors of positivity (Beta=.369, t=8.423), confidence (Beta=.415, t=8.833) and negativity (Beta=-.072, t=-1.536), positivity and confidence had positive effects on organization commitment, and only positivity and confidence showed high values in organization commitment. Upon analyzing the effect of factors of self-efficiency (positivity, confidence, negativity) on organizational commitment, it was found that positivity and confidence showed high relevance but the negativity factor did not have any correlation.

• 한국환경과학회지
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• 제10권3호
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• pp.173-178
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• 2001

The aim of this paper is to evaluate users benefit values of theme park using Travel Cost Method with special reference to Woobang Tower Land in Taegu for the estimation of economic values. This research is mainly based on questionnaire survey of 100 users of the theme park. Socio-economic factors such as income, year of education, annual income, age and money(travel cost) are analysed from 5 residential areas of the respondents. Multiple regression analysis was used for the evaluation of annual number of park visitings based on the analysis. The regression model shows NV = $\alpha$+$\beta_1$TC+$\beta_2$INC+$\beta_3$EDU+$\beta_4$AGE (NV : Annual Number of Visitings, TC : Travel Cost, INC : Annual Income, EDU : Years of Education, AGE : Age). Regarding to visitors demand curve based on the equation showed that annual economic values of Woobang Tower Land was estimated as 50billion Korean Won.

• 한국융합학회논문지
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• 제10권4호
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• pp.237-246
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• 2019

본 연구의 목적은 대학생들의 미디어 폭력성 매체 수용 정도, 미디어 폭력성 매체에 대한 현실감 지각과 폭력인식을 파악하고 데이트 폭력 행동에 미치는 영향 요인을 파악하고자 함이다. 대학생 211명을 대상으로 independent t-test, ANOVA, pearson correlation, multiple regression으로 분석하였다. 본 연구에서 데이트 폭력에 영향을 미치는 요인을 살펴보았을 때, 성폭력 영역에서 폭력 정당화(${\beta}=.38$, p<.001), 데이트 관계 신화(${\beta}=.17$, p=.010) 이었으며, 성희롱 영역에서는 폭력 정당화(${\beta}=.48$, p<.001)이었다. 언어 폭력 영역에서는 폭력 정당화(${\beta}=.52$, p<.001), 신체 폭력 영역에서는 폭력 정당화(${\beta}=.48$, p<.001)이었으며 스토킹에서는 폭력 정당화(${\beta}=.38$, p<.001), 데이트 관계 신화(${\beta}=.14$, p=.024)로 나타났다. 본 연구 결과를 토대로 미디어 폭력성의 수용 정도와 매체에 대한 특성을 파악하고, 폭력 정당화의 정도를 낮추고, 데이트 관계 신화의 인식을 개선할 수 있는 교육이 필요하다는 것을 알 수 있다.

• Journal of the Korean Statistical Society
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• 제7권1호
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• pp.17-26
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• 1978

For testing $\beta_i=\beta, i=1,...,k$, in the regression model $Y_{ij} = \alpha_i + \beta_ix_{ij} + e_{ij}, j=1,...,n_i$, a simple and robust test based on Kendall's tau is proposed. Its asymptotic distribution is proved to be chi-square under the null hypthesis and noncentral chi-square under an appropriate sequence of alternatives. For the optimal designs, the asymptotic relative efficiency of the proposed procedure with respect to the least squares procedure is the same as that of the Wilcoxon test with respect to the t-test.