• Title/Summary/Keyword: Confidence Interval

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Relationship between the number of remaining teeth and depression in Korean adults (한국 성인의 잔존 치아 수와 우울증의 관련성)

  • Cho, Min Jeong;Ma, Jae-Kyung
    • Journal of Korean society of Dental Hygiene
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    • v.16 no.1
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    • pp.19-25
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    • 2016
  • Objectives: The purpose of the study is to investigate the relationship between the number of remaining teeth and depression in Korean adults. Methods: The subjects were the respondents of the Sixth Korea National Health and Nutrition Examination Survey(KNHANES). The questionnaire consisted of the general characteristics of the subjects, number of remaining teeth, and prevalence of depression. relationship of the prevalence of depression and the number of remaining teeth. The data were analyzed by chi-square test, t-test, and logistic regression using SPSS, and 95% confidence intervals were calculated. Results: There was a significant difference in number of remaining teeth and odds ratio(OR) was 1.940(95% confidence interval: 1.062-3.544). Statistically significant difference was not observed after adjusting for age and gender and OR was 1.515(95% confidence interval: 0.823-2.787). And Statistically significant difference was not observed after adjusting for age, gender and other variables. The OR was 1.399(95% confidence interval: 0.757-2.586). Conclusions: Depression in the adults was related to the number of remaining teeth. But there was no significant difference in the number of remaining teeth after adjusted for age, gender, and other factors.

An Improvement on Target Costing Technique

  • Wu, Hsin-Hung
    • International Journal of Quality Innovation
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    • v.4 no.1
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    • pp.191-204
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    • 2003
  • The target costing technique, mathematically discussed by Sauers, only uses the $C_p index along with Taguchi loss function and $\bar{X}$-P control charts to setup goal control limits. The new specification limits derived from Taguchi loss function is linked through the $C_p value to $\bar{X}$-P control charts to obtain goal control limits. Studies have shown that the point estimator of the $C_p index, $C_p, could vary from time to time due to the sampling error. The suggested approach is to use confidence intervals, especially the lower confidence intervals, to replace the point estimator. Therefore, an improvement on target costing technique is presented by applying the lower confidence interval of the $C_p index and using both Taguchi and Spiring's loss functions together with $\bar{X}$-P charts to make this technique more robust in practice. An example is also provided to illustrate how the improved target costing technique works.

Bootstrap confidence interval for survival function in the Koziol-Green model (KOZIOL-GREEN 모형에서 생존함수에 대한 붓스트랩 구간추정)

  • 조길호;정성화;최달우;최현숙
    • The Korean Journal of Applied Statistics
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    • v.11 no.1
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    • pp.151-161
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    • 1998
  • We study the bootstrap interval estimation for survival function in the Koziol-Green model. We construct the approximate bootstrap confidence intervals for survival function and prove the strong consistency for the bootstrap estimator of survival function. Finally we show that the approximate bootstrap confidence intervals are better in terms of coverage probability than confidence intervals based on asymptotic normal distribution and transformations of survival function via Monte Carlo simulation study.

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Development of Matching Priors for P(X < Y) in Exprnential dlstributions

  • Lee, Gunhee
    • Journal of the Korean Statistical Society
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    • v.27 no.4
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    • pp.421-433
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    • 1998
  • In this paper, matching priors for P(X < Y) are investigated when both distributions are exponential distributions. Two recent approaches for finding noninformative priors are introduced. The first one is the verger and Bernardo's forward and backward reference priors that maximizes the expected Kullback-Liebler Divergence between posterior and prior density. The second one is the matching prior identified by matching the one sided posterior credible interval with the frequentist's desired confidence level. The general forms of the second- order matching prior are presented so that the one sided posterior credible intervals agree with the frequentist's desired confidence levels up to O(n$^{-1}$ ). The frequentist coverage probabilities of confidence sets based on several noninformative priors are compared for small sample sizes via the Monte-Carlo simulation.

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Statistical Analysis of Simulation Output Ratios (시뮬레이션 출력비 추정량의 통계적 분석)

  • 홍윤기
    • Journal of the Korea Society for Simulation
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    • v.3 no.1
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    • pp.17-28
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    • 1994
  • A statistical procedure is developed to estimate the relative difference between two parameters each obtained from either true model or approximate model. Double sample procedure is applied to find the additional number of simulation runs satisfying the preassigned absolute precision of the confidence interval. Two types of parameters, mean and standard deviation, are considered as the performance measures and tried to show the validity of the model by examining both queues and inventory systems. In each system it is assumed that there are three distinct means and their own standard deviations and they form the simultaneous confidence intervals but with control in the sense that the absolute precision for each confidence interval is bounded on the limits with preassigned confidence level. The results of this study may contribute to some situations, for instance, first, we need a statistical method to compare the effectiveness between two alternatives, second, we find the adquate number of replications with any level of absolute precision to avoid the unrealistic cost of running simulation models, third, we are interested in analyzing the standard deviation of the output measure, ..., etc.

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Study of Explanatory Power of Deterministic Risk Assessment's Probability through Uncertainty Intervals in Probabilistic Risk Assessment (고장률의 불확실구간을 고려한 빈도구간과 결정론적 빈도의 설명력 연구)

  • Man Hyeong Han;Young Woo Chon;Yong Woo Hwang
    • Journal of the Korean Society of Safety
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    • v.39 no.3
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    • pp.75-83
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    • 2024
  • Accurately assessing and managing risks in any endeavor is crucial. Risk assessment in engineering translates the abstract concept of risk into actionable strategies for systematic risk management. However, risk validation is met with significant skepticism, particularly concerning the uncertainty of probability. This study aims to address the aforementioned uncertainty in a multitude of ways. Firstly, instead of relying on deterministic probability, it acknowledges uncertainty and presents a probabilistic interval. Secondly, considering the uncertainty interval highlighted in OREDA, it delineates the bounds of the probabilistic interval. Lastly, it investigates how much explanatory power deterministic probability has within the defined probabilistic interval. By utilizing fault tree analysis (FTA) and integrating confidence intervals, a probabilistic risk assessment was conducted to scrutinize the explanatory power of deterministic probability. In this context, explanatory power signifies the proportion of probability within the probabilistic risk assessment interval that lies below the deterministic probability. Research results reveal that at a 90% confidence interval, the explanatory power of deterministic probability decreases to 73%. Additionally, it was confirmed that explanatory power reached 100% only with a probability application 36.9 times higher.

Evaluating Interval Estimates for Comparing Two Proportions with Rare Events

  • Park, Jin-Kyung;Kim, Yong-Dai;Lee, Hak-Bae
    • The Korean Journal of Applied Statistics
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    • v.25 no.3
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    • pp.435-446
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    • 2012
  • Epidemiologic studies frequently try to estimate the impact of a specific risk factor. The risk difference and the risk ratio are generally useful measurements for this purpose. When using such measurements for rare events, the standard approaches based on the normal approximation may fail, in particular when no events are observed. In this paper, we discuss and evaluate several existing methods to construct confidence intervals around risk differences and risk ratios using Monte-Carlo simulations when the disease of interest is rare. The results in this paper provide guidance how to construct interval estimates of the risk differences and the risk ratios when no events are detected.

Estimation and Application of Binomial Confidence Interval for Nonconforming Proportions (부적합품률의 이항 신뢰구간 추정 및 응용)

  • Choi, Sung-Woon;Lee, Chang-Ho
    • Journal of the Korea Safety Management & Science
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    • v.9 no.4
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    • pp.143-147
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    • 2007
  • This paper presents various interval estimation methods of binomial proportion for small n in multi-product small volume production and extremely small ^P like PPM or PPB fraction of defectives. This study classifies interval estimation of binomial proportion into three categories such as exact, approximate, Bayesian methods. These confidence intervals proposed in this paper can be applied to attribute process capability and attribute acceptance sampling plan for PPM or PPB.

Multivariate Linear Calibration with Univariate Controlled Variable

  • Park, Nae-Hyun
    • Journal of the Korean Statistical Society
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    • v.15 no.2
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    • pp.107-117
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    • 1986
  • This paper gives some new results on the multivariate linear calibration problem in the case when the controlled variable is univariate. Firstly, a condition under which one can obtain a finite closed confidence interval of $x_0$(unknown controlled variable) is suggested. Secondly, this article considers a criterion to find out whether the multivariate calibration significantly shortens the confidence interval of $x_0$ and supports this criterion by examples. Finally, a multivariate extension of the results in Lwin Maritz (1982) is given.

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A Note on Comparing Multistage Procedures for Fixed-Width Confidence Interval

  • Choi, Ki-Heon
    • Communications for Statistical Applications and Methods
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    • v.15 no.5
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    • pp.643-653
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    • 2008
  • Application of the bootstrap to problems in multistage inference procedures are discussed in normal and other related models. After a general introduction to these procedures, here we explore in multistage fixed precision inference in models. We present numerical comparisons of these procedures based on bootstrap critical points for small and moderate sample sizes obtained via extensive sets of simulated experiments. It is expected that the procedure based on bootstrap leads to better results.