• Communications for Statistical Applications and Methods
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• 제9권1호
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• pp.221-227
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• 2002

The concept of pivot has been widely used in various classical inferences. In this paper, it is proved by use of pivotal quantities that the Bayesian inferences can be arrived at the same results of classical inferences for the location-scale parameters models under the assumption of non-informative prior distributions. Some theorems are proposed in which the posterior distribution and the sampling distribution of a pivotal quantity coincide. The theorems are applied illustratively to some statistical models.

• 한국수학사학회지
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• 제11권1호
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• pp.68-77
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• 1998

There are two approach methods widely in statistical inferences. First is sampling theory methods and the other is Bayesian methods. In this paper, we will introduce the most basic differences of the two approach methods. Especially, we investigate and introduce the historical origin of Bayesian methods in Statistical inferences which is currently used. Also, we introduce the some characteristics of sampling theory method and Bayesian methods.

• 대한안전경영과학회:학술대회논문집
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• 대한안전경영과학회 2012년 춘계학술대회
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• pp.75-80
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• 2012

The research presents a guideline for quality practitioners to provide a full comprehension of differences in theoretical and practical interpretations of assumed sampling errors of and significance probability of calculated p-value. Besides, the study recommends the use of statistical inferences methods with known parameters to identify the improvement effects. In practice, the quality practitioners obtain the known parameters through systematic quality Database (DB) activities.

• Communications for Statistical Applications and Methods
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• 제3권2호
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• pp.161-168
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• 1996

Multistage hierarchical models and Bayesian inferences about finite population total estimations are considered. Here, Gibbs sampling approach that can be used to predict the marginal posterior means needed for Bayesian inferences is proposed.

• 가정과삶의질연구
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• 제24권2호
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• pp.15-26
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• 2006

The purposes of this study were (1) to investigate children's personalized inferences of characters emotional reactions depending on character's personality trait, emotional situation, children's age and gender, (2) to investigate children's personalized inferences of character's behavioral reactions depending on character's personality trait, emotional situation, children's age and gender, (3) to investigate differences between children's personalized inferences of character's emotional reaction and that of character's behavioral reactions. The subjects were 103 children from three age groups (thirty-four 3-year-olds, thirty-three 5-year-olds and thirty-six 7-year-olds). The statistical methods adopted for the data analysis were frequency, percentile, mean, standard deviation, repeated measure ANOVA and paired t-test. The result showed that there were significant differences in children's personalized inferences of character's emotional reaction depending on character's personality trait, emotional situation and their age. There were significant differences in children's personalized inferences of character's behavioral reaction depending on children's age and gender. There were significant differences between personalized inferences of character's emotional reaction and behavioral reactions.

• 응용통계연구
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• 제18권3호
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• pp.673-687
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• 2005

표본조사에서 이용하는 모수 추론 방법인 설계기반추론과 모형기반추론을 고찰하였다. 설계기반추론은 확률화 원리에 기초를 두고 있는 반면 모형기반추론은 가정한 모형에서 조건부 원리와 우도 원리에 바탕을 두고 있다. 두 추론은 서로 다른 이론적 근거를 사용하기 때문에 이론적 기초에 관한 논쟁이 오래 전부터 있어 왔으며 지금도 진행되고 있다. 이 논문에서는 두 추론 사이에 진행되었던 논쟁의 초점을 살펴보았고 몇 가지 관점에서 두 추론의 장단점을 비교하였다.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제12권1호
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• pp.31-38
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• 2009

This paper aims to develop a program which cultivates statistical ability for elementary students. For this purpose, I examined the relationship between mathematical thinking and statistical thinking. I developed statistical programs including classification, discussion of data, generating statistical problem and project program. As result, this study suggests implications for further elementary statistical education.

• 한국수학사학회지
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• 제13권1호
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• pp.99-112
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• 2000

In this paper we discuss the teaching methods about statistical inferences. Bayesian methods have the attractive feature that statistical conclusions can be stated using the language of subjective probability. Simple methods of teaching Bayes' rule described, and these methods are illustrated for inference and prediction problems for one proportions. Also, we discuss the advantages and disadvantages of traditional and Bayesian approachs in teaching inference.

• Communications for Statistical Applications and Methods
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• 제23권4호
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• pp.321-334
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• 2016

In this paper, we propose power t distribution based on t distribution. We also study the properties of and inferences for power t model in order to solve the problem of real data showing both skewness and heavy tails. The comparison of skew t and power t distributions is based on density plots, skewness and kurtosis. Note that, at the given degree of freedom, the kurtosis's range of the power t model surpasses that of the skew t model at all times. We draw inferences for two parameters of the power t distribution and four parameters of the location-scale extension of power t distribution via maximum likelihood. The Fisher information matrix derived is nonsingular on the whole parametric space; in addition we obtain the profile log-likelihood functions on two parameters. The response plots for different sample sizes provide strong evidence for the estimators' existence and unicity. An application of the power t distribution suggests that the model can be very useful for real data.

• 응용통계연구
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• 제33권4호
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• pp.357-364
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• 2020

이 소고에서는 기하평균의 성질과 기하평균과 관련된 통계적 추론에 대한 알아 본다. 로그변환-역변환을 통해 얻어진 통계적 추론 결과가 기하평균과 관련이 있다는 것을 보이고 이 과정에서 유도된 결과를 어떻게 해석해야 하는지를 설명한다.