• 응용통계연구
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• 제28권2호
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• pp.231-239
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• 2015

가산자료(counts data)를 적합 하는 경우 보통 포아송 모형이 가장 먼저 고려된다. 과산포 문제가 있을 경우도 유사 포아송(quasi Poisson) 모형이나 음이항(Negative binomial) 모형으로 대부분 설명이 가능하다. 하지만, 가산자료 중에는 포아송분포를 가정한 기대 빈도 이상으로 많은 0이 관측되는 자료가 있고 이를 영과잉(Zero inflated) 가산 자료라고 부른다. 영과잉 가산자료를 설명하기 위해 영과잉 포아송(ZIP) 모형이나 영과잉 음이항(ZINB) 모형을 이용할 수 있다. 더 나아가 영과잉 가산자료가 공간상관관계까지 있을 경우 영과잉 문제뿐만 아니라 유의할 수 있는 공간효과까지 고려해야하고 이를 위해 혼합효과모형(mixed effects model)이 고려 될 수 있다. 본 연구에서 사용된 2004년 기준 부산시 남성동별 갑상선암 발생자수 자료를 이용하여, 일반선형 포아송모형, 영과잉 포아송모형, 공간 영과잉 포아송모형을 적합하여 비교해보았다.

• 대한간호학회지
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• 제44권6호
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• pp.743-750
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• 2014

Purpose: The objective of this study was to provide a trend analysis of the prevalence of diabetes relative to the socioeconomic, lifestyle, and physiologic risk factors among Korean adults aged over 30 years for a 10-year period using data from the Korean National Health and Nutrition Examination Survey. Methods: Prevalence difference and the slope index of inequality were calculated for each risk factors using binomial regression by considering the repeated cross-sectional features of the data. The prevalence ratio and the relative index of inequality were calculated using log-binomial regression. Linear trend tests were performed using SAS 9.2. Results: Crude prevalence of diabetes increased over the 10-year period, and was higher for men than for women. It was very high for adults 60 years or over, consistently increasing over time. The prevalence among unemployed men, women with higher level of stress, women with hypertension, and adults with serum triglyceride levels over 135 mg/dL increased over the 10-year period in comparison with the respective control group. Conclusion: Considering the rapid economic development and associated lifestyle changes in Korea, action should be taken to control the prevalence of diabetes by both preventing and consistently monitoring these identified risk factors using a public-health approach.

• 응용통계연구
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• 제17권1호
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• pp.13-26
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• 2004

경제성장이론에 의하면 특정 산업에 종사하는 사업체들의 입지 행태는 업종별로 서로 공간적 관련성을 갖는다. 본 연구에서는 음이항분포의 산포모수의 특성을 이용하여 산업 활동의 공간집적도를 계량화하기 위한 산업집중지수를 정의하고 이를 이용하여 특정업종에 종사하는 사업체들의 입지행태에 있어서 공간적 변화경향을 통계적으로 규명하고자 하였다. 1995년도와 2000년도의 사업체 기초통계조사 자료를 이용하여 충북지역의 지식기반산업 7개 업종과 주력기간산업 9개 업종에 대해 산업집중지수를 추정하여 이를 기반으로 업종별 사업체들의 공간적 입지행태 변화경향을 분석하였고 지역산업 활성화에 필요한 업종의 선택 및 집중화문제해결에 산업집중지수가 활용될 수 있음을 보였다.

• 응용통계연구
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• 제21권4호
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• pp.603-613
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• 2008

셀 수 있는 이산 자료 중에서 일반적인 모형에 비하여 영의 빈도가 과도하게 많이 관측되는 자료가 있다. 이러한 경우에 포아송 또는 음이항회귀모형과 같은 일반적인 회귀모형에 의한 분석은 적절하지 못하다. 본 논문에서는 영과잉 포아송회귀모형과 영과잉 음이항회귀모형에 대하여 베이지안 분석을 하였다. 또한, 마코브 연쇄 몬테카롤로 방법으로 계산한 베이즈 요인을 이용하여 모형선택을 하였다. 실제 교통사고 자료를 분석하여 이론적인 결과들을 뒷받침하였다.

• 응용통계연구
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• 제16권2호
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• pp.335-349
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• 2003

본 논문에서는 포아송분포 대 음이항분포, 그리고 정규분포, 이중지 수분포 대 코쉬분포에 대한 모형선택을 위하여 베이지안 방법을 사용한다. 각 모수에 대한 사전분포로는 무정보 부적절 사전분포의 가정 하에, 베이지안 모형선택을 위하여 O'Hagan (1995)의 부분적 베 이즈요인을 이용하였다. 실제자료와 모의 실험 자료의 분석을 통하여 부분적 베이즈요인의 유용성을 Berger와 Pericchi (1996, 1998)의 내재적 베이즈요인들과 함께 비교 검토해 본다.

• 한국가족관계학회지
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• 제20권4호
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• pp.131-156
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• 2016

Objective: This study aimed to examine parenting education participation of Korean mothers in the transition to parenthood and its related variables. Method: A study sample was composed of 870 mothers whose first child was younger than one-year old from the Panel Study on Korean Children in 2008(mean age=30.1, SD = 3.69). The descriptive statistics of parenting education participation were presented. In addition, negative binomial and logistic regression models were used in Stata13 in order to examine the variables related to parenting education participation of mothers in the transition to parenthood. Results: Approximately 82% of the mothers reported that they had participated in at least one parenting education program. Further, mother's educational level, monthly household income, mother's working experience, and community type generally predicted parenting education participation of mothers. However, the effects of these variables varied by the subjects and the providing institutions. Conclusion: This study provides the overall picture of parenting education participation of Korean mothers in the transition to parenthood and its related variables. The findings can be utilized to plan more effective parenting education programs for new parents.

• Communications for Statistical Applications and Methods
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• 제19권4호
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• pp.537-546
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• 2012

In this paper, for analyzing binary data, Poisson regression with offset and logistic regression are compared with respect to the power via simulations. Poisson distribution can be used as an approximation of binomial distribution when n is large and p is small; however, we investigate if the same conditions can be held for the power of significant tests between logistic regression and offset poisson regression. The result is that when offset size is large for rare events offset poisson regression has a similar power to logistic regression, but it has an acceptable power even with a moderate prevalence rate. However, with a small offset size (< 10), offset poisson regression should be used with caution for rare events or common events. These results would be good guidelines for users who want to use offset poisson regression models for binary data.

• 한국통계학회:학술대회논문집
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• 한국통계학회 2000년도 추계학술발표회 논문집
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• pp.33-38
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• 2000

Krishnamoorphy and Raghavarao(1993) invented exact binomial and asymptotically normal test procedures for truthful answering in the repeated randomized response models under the assumption that two repeated response measures are independent. Under the same assumption, Lakshmi and Raghavarao(1992) suggested asymptotic chi-square test for respondents' truthful answering in the same models. In this article we detect the factors and the conditions with which two response variables might be independent, and find the condition for independence in the repeated randomized response models with considering untruthful answer. But, the condition of independence make the randomized model no meaning. Under the assumption of conditional independence between two response variables, we can apply the same logical statements on deriving the tests for truthful answering in the repeated randomized response models as in Krishnamoorphy and Raghavarao(1993).

• Communications for Statistical Applications and Methods
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• 제21권3호
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• pp.261-274
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• 2014

In this paper we develop Bayes and empirical Bayes estimators of the finite population mean with the assumption of posterior linearity rather than normality of the superpopulation under the balanced loss function. We compare the performance of the optimal Bayes estimator with ones of the classical sample mean and the usual Bayes estimator under the squared error loss with respect to the posterior expected losses, risks and Bayes risks when the underlying distribution is normal as well as when they are binomial and Poisson.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제12권2호
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• pp.81-95
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• 2008

In this paper, the negative Polya-Eggenberger distribution has been introduced by compounding negative binomial distribution with beta distribution of I-kind which generates a number of univariate contagious or compound (or mixture of) distributions as its particular cases. The distribution is unimode, over dispersed and all of its positive and negative integer moments exist. The difference equation of the proposed model shows that it is a member of the Ord's family of distribution. Some of its interesting properties have been explored besides different methods of estimation been discussed. Finally, the parameters of the proposed model have been estimated by using a computer programme in R-software. Application of the proposed model to some data, available in the literature, has been given and its goodness of fit demonstrated.