• Title/Summary/Keyword: probability and statistics

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The Program for Teaching on Type I error and Type II error

  • Choi, Hyun-Seok
    • 한국데이터정보과학회:학술대회논문집
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    • 2004.10a
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    • pp.17-23
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    • 2004
  • At the conclusion from the hypothesis testing, there is a possibility of making Type I error and Type II error. The purpose of this article is to use this program in statistics teaching through developing the program for studying on the concept about these two errors, two kinds of the probability of errors by the variation of rejection region, two kinds of the probability of errors by the variation of sample size, the relations of the probability $\alpha$ and $\beta$ by these two errors, and power function, power curve.

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A study on the probabilistic record linkage and its application (확률적 자료연계의 이론과 적용에 관한 연구)

  • Choi, Yeonok;Lee, Sangin
    • The Korean Journal of Applied Statistics
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    • v.34 no.5
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    • pp.849-861
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    • 2021
  • This paper aims to introduce the basic concept of probabilistic record linkage and its statistical framework, and describe the specific process and principle of performing it using a real example from Statistics Korea. First, we briefly describe the deterministic record linkage and compare it with probabilistic record linkage. We introduce the Fellegi-Sunter model framework for record linkage and the related paprameters: m-probability, u-probability, matched weight and decision rule. Finally, we show the detailed process of record linkage under Fellegi-Sunter model framework and evaluate the record linkage results, using sample data from the registered-based census and Population and Housing Census survey in Statistics Korea.

Developing Noninformative Priors for Parallel-Line Bioassay

  • Kim, YeongHwa;Heo, JungEun
    • Communications for Statistical Applications and Methods
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    • v.9 no.2
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    • pp.401-410
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    • 2002
  • This paper revisits parallel-line bioassay problem, from a Bayesian point of view using noninformative priors such as Jeffreys' prior, reference priors, and probability matching priors. After finding the orthogonal transformation, the class of first order and second order probability matching priors are derived. Jeffreys' prior and reference priors are derived also. Numerical examples are given to show the effectiveness of noninformative priors.

An Improvement of the Approximation of the Ruin Probability in a Risk Process (보험 상품 파산 확률 근사 방법의 개선 연구)

  • Lee, Hye-Sun;Choi, Seung-Kyoung;Lee, Eui-Yong
    • The Korean Journal of Applied Statistics
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    • v.22 no.5
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    • pp.937-942
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    • 2009
  • In this paper, a continuous-time risk process in an insurance business is considered, where the premium rate is constant and the claim process forms a compound Poisson process. We say that a ruin occurs if the surplus of the risk process becomes negative. It is practically impossible to calculate analytically the ruin probability because the theoretical formula of the ruin probability contains the recursive convolutions and infinite sum. Hence, many authors have suggested approximation formulas of the ruin probability. We introduce a new approximation formula of the ruin probability which extends the well-known De Vylder's and exponential approximation formulas. We compare our approximation formula with the existing ones and show numerically that our approximation formula gives closer values to the true ruin probability in most cases.

Comparison of Dose Statistics of Intensity-Modulated Radiation Therapy Plan from Varian Eclipse Treatment Planning System with Novel Python-Based Indigenously Developed Software

  • Sougoumarane Dashnamoorthy;Karthick Rajamanickam;Ebenezar Jeyasingh;Vindhyavasini Prasad Pandey;Kathiresan Nachimuthu;Imtiaz Ahmed;Pitchaikannu Venkatraman
    • Progress in Medical Physics
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    • v.33 no.3
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    • pp.25-35
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    • 2022
  • Purpose: Planning for radiotherapy relies on implicit estimation of the probability of tumor control and the probability of complications in adjacent normal tissues for a given dose distribution. Methods: The aim of this pilot study was to reconstruct dose-volume histograms (DVHs) from text files generated by the Eclipse treatment planning system developed by Varian Medical Systems and to verify the integrity and accuracy of the dose statistics. Results: We further compared dose statistics for intensity-modulated radiotherapy of the head and neck between the Eclipse software and software developed in-house. The dose statistics data obtained from the Python software were consistent, with deviations from the Eclipse treatment planning system found to be within acceptable limits. Conclusions: The in-house software was able to provide indices of hotness and coldness for treatment planning and store statistical data generated by the software in Oracle databases. We believe the findings of this pilot study may lead to more accurate evaluations in planning for radiotherapy.

A Study on the History of Statistics

  • Jo, Jae-Keun
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.805-823
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    • 2003
  • The development of probability and statistics has been treated in the works of scholars for decades. In this paper, researches on the history of statistics are classified into four categories: philosophy of science, mathematical statistics, social science and sociology of science. Four categories are presented and histories classified into categories are reviewed briefly. Considered are works by Ian Hacking (1975, 1990), Lorrain Daston (988), Anders Hald (1990, 1998), Stephen Stigler (1986), Ted Porter (1986) and Donald MacKenzie (1981). These works are classified by the author's main interests. From such a diversity in the study of its history, we can see many faces of statistics and unique features of statistics.

A Comparison Study for the Confidence Intervals of the Common Odds Ratio in the Stratified 2 X 2 Tables Using the Average Coverage Probability

  • Kwak, Min Jung;Jeong, Hyeong Chul
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.779-793
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    • 2003
  • In this paper, various methods for finding confidence intervals for common odds ratio $\psi$ of the K 2${\times}$2 tables are reviewed. Also we propose two jackknife confidence intervals and bootstrap confidence intervals for $\psi$. These confidence intervals are compared with the other existing confidence intervals by using Monte Carlo simulation with respect to the average coverage probability.

NONPARAMETRIC ONE-SIDED TESTS FOR MULTIVARIATE AND RIGHT CENSORED DATA

  • Park, Hyo-Il;Na, Jong-Hwa
    • Journal of the Korean Statistical Society
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    • v.32 no.4
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    • pp.373-384
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    • 2003
  • In this paper, we formulate multivariate one-sided alternatives and propose a class of nonparametric tests for possibly right censored data. We obtain the asymptotic tail probability (or p-value) by showing that our proposed test statistics have asymptotically multivariate normal distributions. Also, we illustrate our procedure with an example and compare it with other procedures in terms of empirical powers for the bivariate case. Finally, we discuss some properties of our test.

On Confidence Interval for the Probability of Success

  • Sang-Joon Lee;M. T. Longnecker;Woochul Kim
    • Communications for Statistical Applications and Methods
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    • v.3 no.3
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    • pp.263-269
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    • 1996
  • The somplest approximate confidence interval for the probability of success is the one based on the normal approximation to the binomial distribution, It is widely used in the introductory teaching, and various guidelines for its use with "large" sample have appeared in the literature. This paper suggests a guideline when to use it as an approximation to the exact confidence interval, and comparisons with existing guidelines are provided. provided.

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A Study on Pre-service Mathematics Teachers' some Misconceptions in the Statistics and Probability (예비 수학교사의 통계와 확률론에서의 몇 가지 오개념)

  • Kim, Changil;Jeon, Youngju
    • Journal of the Korean School Mathematics Society
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    • v.21 no.4
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    • pp.469-483
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    • 2018
  • The purpose of this study is to find out how pre-service mathematics teachers should prepare for the teaching of probability and statistics in school mathematics and to help improve teacher education. To do this, questionnaires and evaluation of probabilistic and statistical curriculum were conducted for pre-service teachers, and regression analysis and correlation between them were examined. Through the investigation, the items with low evaluation results due to level of difficulty were extracted and analyzed. As a result, first, it is necessary to teach pre-service mathematics teachers with link the contents curriculum of college and secondary school about probability and statistics. Second, accurate diagnosis of pre-service mathematics teachers' understanding of probability and statistics is needed. Third, the misconceptions and causes of pre-service mathematics teachers were analyzed in detail. And suggests that various follow-up studies related to this are needed.