• Title/Summary/Keyword: Wald confidence interval

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CONFIDENCE CURVES FOR A FUNCTION OF PARAMETERS IN NONLINEAR REGRESSION

  • Kahng, Myung-Wook
    • Journal of the Korean Statistical Society
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    • v.32 no.1
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    • pp.1-10
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    • 2003
  • We consider obtaining graphical summaries of uncertainty in estimates of parameters in nonlinear models. A nonlinear constrained optimization algorithm is developed for likelihood based confidence intervals for the functions of parameters in the model The results are applied to the problem of finding significance levels in nonlinear models.

Confidence Intervals for a Linear Function of Binomial Proportions Based on a Bayesian Approach (베이지안 접근에 의한 모비율 선형함수의 신뢰구간)

  • Lee, Seung-Chun
    • The Korean Journal of Applied Statistics
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    • v.20 no.2
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    • pp.257-266
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    • 2007
  • It is known that Agresti-Coull approach is an effective tool for the construction of confidence intervals for various problems related to binomial proportions. However, the Agrest-Coull approach often produces a conservative confidence interval. In this note, confidence intervals based on a Bayesian approach are proposed for a linear function of independent binomial proportions. It is shown that the Bayesian confidence interval slightly outperforms the confidence interval based on Agresti-Coull approach in average sense.

Confidence intervals for the COVID-19 neutralizing antibody retention rate in the Korean population

  • Apio, Catherine;Kamruzzaman, Md.;Park, Taesung
    • Genomics & Informatics
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    • v.18 no.3
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    • pp.31.1-31.8
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    • 2020
  • The coronavirus disease 2019 (COVID-19), caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), has become a global pandemic. No specific therapeutic agents or vaccines for COVID-19 are available, though several antiviral drugs, are under investigation as treatment agents for COVID-19. The use of convalescent plasma transfusion that contain neutralizing antibodies for COVID-19 has become the major focus. This requires mass screening of populations for these antibodies. While several countries started reporting population based antibody rate, its simple point estimate may be misinterpreted without proper estimation of standard error and confidence intervals. In this paper, we review the importance of antibody studies and present the 95% confidence intervals COVID-19 antibody rate for the Korean population using two recently performed antibody tests in Korea. Due to the sparsity of data, the estimation of confidence interval is a big challenge. Thus, we consider several confidence intervals using Asymptotic, Exact and Bayesian estimation methods. In this article, we found that the Wald method gives the narrowest interval among all Asymptotic methods whereas mid p-value gives the narrowest among all Exact methods and Jeffrey's method gives the narrowest from Bayesian method. The most conservative 95% confidence interval estimation shows that as of 00:00 on September 15, 2020, at least 32,602 people were infected but not confirmed in Korea.

Updated confidence intervals for the COVID-19 antibody retention rate in the Korean population

  • Kamruzzaman, Md.;Apio, Catherine;Park, Taesung
    • Genomics & Informatics
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    • v.18 no.4
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    • pp.45.1-45.5
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    • 2020
  • With the ongoing rise of coronavirus disease 2019 (COVID-19) pandemic across the globe, interests in COVID-19 antibody testing, also known as a serology test has grown, as a way to measure how far the infection has spread in the population and to identify individuals who may be immune. Recently, many countries reported their population based antibody titer study results. South Korea recently reported their third antibody formation rate, where it divided the study between the general population and the young male youths in their early twenties. As previously stated, these simple point estimates may be misinterpreted without proper estimation of standard error and confidence intervals. In this article, we provide an updated 95% confidence intervals for COVID-19 antibody formation rate for the Korean population using asymptotic, exact and Bayesian statistical estimation methods. As before, we found that the Wald method gives the narrowest interval among all asymptotic methods whereas mid p-value gives the narrowest among all exact methods and Jeffrey's method gives the narrowest from Bayesian method. The most conservative 95% confidence interval estimation shows that as of 00:00 November 23, 2020, at least 69,524 people were infected but not confirmed. It also shows that more positive cases were found among the young male in their twenties (0.22%), three times that of the general public (0.051%). This thereby calls for the quarantine authorities' need to strengthen quarantine managements for the early twenties in order to find the hidden infected people in the population.

Comparison of Some Nonparametric Statistical Inference for Logit Model (로짓모형의 비모수적 추론의 비교)

  • 정형철;김대학
    • The Korean Journal of Applied Statistics
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    • v.15 no.2
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    • pp.355-366
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    • 2002
  • Nonparametric statistical inference for the parameter of logit model were examined. Usually nonparametric approach is milder than parametric approach based on normal theory assumption. We compared the two nonparametric methods for legit model, the bootstrap and random permutation in the sense of coverage probability. Monte Carlo simulation is conducted for small sample cases. Empirical power of hypothesis test and coverage probability for confidence interval estimation were presented for simple and multiple legit model respectively. An example were also introduced.

Prospective Clinical Trial of Survival Rate for Two Different Implant Surfaces Using the Osstem(R) SS II Non-submerged Implant System in Partially Edentulous Patients

  • Kim, Su-Gwan;Lim, Chae-Su;Oh, Min-Seok;Park, Jin-Sung;Kim, Seo-Yoon;Seol, Ka-Young
    • Journal of Korean Dental Science
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    • v.2 no.2
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    • pp.35-41
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    • 2009
  • Objective : This study sought to investigate the clinical survival rate of two implants with different surfaces: resorbable blasting media (RBM)-treated and calcium metaphosphate (CMP)-coated implant. Study design : SSII non-submerged implants (Osstem, Seoul, Korea) were placed in a total of 48 patients with mean age of 38.8. At least 31 patients in the experimental group had a CMP-coated implant, and 1 patient in the control group received a, RBM surface implant. The evaluation period was between April 2006 and December 2007. Radiographs, periotest, clinical periodontal examination, and prosthetic adjustment and occlusion were used. Results : The survival rate of the experimental and control groups after 1 year was 97.2% and 100%, respectively. The Wald confidence interval reported for the experimental group was not inferior to the control group. Conclusion : No significant differences were found between the RBM and CMP groups. The observed data suggest that CMP-coated methods can provide favorable clinical results for the functioning and healing of dental implants.

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