• Title/Summary/Keyword: binomial statistics

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Comparative Study of Confidence Intervals for Relative Ratio

  • Park, Sang-Gue;Oh, You-Jin
    • Communications for Statistical Applications and Methods
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    • v.6 no.2
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    • pp.621-634
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    • 1999
  • Consider the several methods of constructing interval for relative ration from two independent binomial samples. The special interests are gives in the cases of low rates and small samples. bias-corrected and accelerated bootstrap method is proposed to overcome are the non-efficiency of current methods based on asymptotic resuts. Simulation studies are presented to demonstrate the performance of the proposed method.

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The Role of Artificial Observations in Testing for the Difference of Proportions in Misclassified Binary Data

  • Lee, Seung-Chun
    • The Korean Journal of Applied Statistics
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    • v.25 no.3
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    • pp.513-520
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    • 2012
  • An Agresti-Coull type test is considered for the difference of binomial proportions in two doubly sampled data subject to false-positive error. The performance of the test is compared with the likelihood-based tests. It is shown that the Agresti-Coull test has many desirable properties in that it can approximate the nominal significance level with compatible power performance.

ROBUST UNIT ROOT TESTS FOR SEASONAL AUTOREGRESSIVE PROCESS

  • Oh, Yu-Jin;So, Beong-Soo
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.05a
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    • pp.281-286
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    • 2003
  • The stationarity is one of the most important properties of a time series. We propose robust sign tests for seasonal autoregressive process to determine whether or not a time series is stationary. The tests have an exact binomial null distribution and are robust to the outliers and the heteroscedastic errors. Monte-Carlo simulation shows that the sign test is locally more powerful than the OLSE-based tests for heavy-tailed and/or heteroscedastic error distributions.

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The Role of Artificial Observations in Misclassified Binary Data with Common False-Positive Error

  • Lee, Seung-Chun
    • The Korean Journal of Applied Statistics
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    • v.25 no.4
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    • pp.697-706
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    • 2012
  • An Agresti-Coull type test is considered for the difference of binomial proportions in two doubly sampled data subject to common false-positive error. The performance of the test is compared with likelihood-based tests. The Agresti-Coull test has many desirable properties in that it can approximate the nominal significance level well, and has comparable power performance with a computational advantage.

Bootstrap Confidence Intervals for the INAR(p) Process

  • Kim, Hee-Young;Park, You-Sung
    • Communications for Statistical Applications and Methods
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    • v.13 no.2
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    • pp.343-358
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    • 2006
  • The distributional properties of forecasts in an integer-valued time series model have not been discovered yet mainly because of the complexity arising from the binomial thinning operator. We propose two bootstrap methods to obtain nonparametric prediction intervals for an integer-valued autoregressive model : one accommodates the variation of estimating parameters and the other does not. Contrary to the results of the continuous ARMA model, we show that the latter is better than the former in forecasting the future values of the integer-valued autoregressive model.

A Study on Normal Approximation to the Binomial Distribution (이항분포의 정규근사에 대한 고찰)

  • 장대흥
    • The Korean Journal of Applied Statistics
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    • v.12 no.2
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    • pp.671-681
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    • 1999
  • 이항분포의 정규근사는 중심극한정리의 한 예로서 자주 언급되는데 정규근사를 하기 위한 시행회수 n과 성공률 p에 대한 판정기준들이 다수 제시되고 있는 데, 본 논문은 이러한 판정기준들에 대하여 제약조건의 강도와 평균오차한계를 비교, 검토하였다.

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Logistic regression model for major separation rate

  • Choi, Jae-Sung
    • Journal of the Korean Data and Information Science Society
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    • v.13 no.2
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    • pp.129-138
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    • 2002
  • This paper deals with logistic regression models for analysing separation rates from majors. The model building procedure shows how to incoporate the effects of some factors causing from three-way nested sampling scheme and discusses what type of characteristics as independent variables directly affecting the rates should be considered.

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Tests for Equality of Dispersions in the Generalized Bivariate Negative Binomial Regression Model with Heterogeneous Dispersions (서로 다른 산포를 갖는 이변량 음이항 회귀모형에서 산포의 동일성에 대한 검정)

  • Han, Sang-Moon;Jung, Byoung-Cheol
    • Communications for Statistical Applications and Methods
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    • v.18 no.2
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    • pp.219-227
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    • 2011
  • In this paper, we proposed a generalized bivariate negative binomial distribution allowing heterogeneous dispersions on two dependent variables based on a trivariate reduction technique. In this model, we propose the score and LR tests for testing the equality of dispersions and compare the efficiencies of the proposed tests using a Monte Carlo study. The Monte Carlo study shows that the proposed score and LR tests prove to be an efficient test for the equality of dispersions in the view of the significance level and power. However, the score test is easier to compute than the LR test and it shows a slightly better performance than the LR test from the Monte Carlo study, we suggest the use of score tests for testing the equality of dispersions on two dependent variables. In addition, an empirical example is provided to illustrate the results.

The Effects of Dispersion Parameters and Test for Equality of Dispersion Parameters in Zero-Truncated Bivariate Generalized Poisson Models (제로절단된 이변량 일반화 포아송 분포에서 산포모수의 효과 및 산포의 동일성에 대한 검정)

  • Lee, Dong-Hee;Jung, Byoung-Cheol
    • The Korean Journal of Applied Statistics
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    • v.23 no.3
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    • pp.585-594
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    • 2010
  • This study, investigates the effects of dispersion parameters between two response variables in zero-truncated bivariate generalized Poisson distributions. A Monte Carlo study shows that the zero-truncated bivariate Poisson and negative binomial models fit poorly wherein the zero-truncated bivariate count data has heterogeneous dispersion parameters on dependent variables. In addition, we derive the score test for testing the equality of the dispersion parameters and compare its efficiency with the likelihood ratio test.

Group Sequential Tests Using both Type I and Type II Error Spending Rate Functions on Binomial Response (이산형 반응변수에서 오류 분배율 함수를 적용한 집단축차 검정)

  • Kim, Dong-Uk;Nam, Jin-Hyun
    • Communications for Statistical Applications and Methods
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    • v.17 no.1
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    • pp.127-140
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    • 2010
  • In interim analysis, group sequential tests are widely used for the ethical, scientific, and economic reasons. In this paper, we propose the group sequential tests using both type I and type II error spending rate functions when the response variable is discrete, especially binomial distribution, in the interim analysis. In addition, we propose new error spending rate function which covers the formerly proposed. Our method has good property that is flexible, fast and easily applicable. A numerical simulations are carried out to evaluate our method and it shows good performance.