• 제목/요약/키워드: Test Statistics

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Nonparametric Tests for Grouped K-Sample Problem

  • Park, Hyo-Il
    • Communications for Statistical Applications and Methods
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    • 제13권2호
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    • pp.409-418
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    • 2006
  • We propose a nonparametric test procedure for the K-sample problem with grouped data. We construct the test statistics using the scores derived for the linear model based on likelihood ratio principle and obtain asymptotic distribution. Also we illustrate our procedure with an example. Finally we discuss some concluding remarks.

A Bivariate Two Sample Rank Test for Mixture Distributions

  • Songyong Sim;Seungmin Lee
    • Communications for Statistical Applications and Methods
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    • 제3권2호
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    • pp.197-204
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    • 1996
  • We consider a two sample rank test for a bivariate mixture distribution based on Johnson's quantile score. The test statistic is simple to calculate and the exact distribution under the null hypothesis is obtained. A numerical example is given.

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복합표본자료에서 동질성검정을 위한 피어슨 검정통계량의 효과 (Effect of complex sample design on Pearson test statistic for homogeneity)

  • 허순영;정영애
    • Journal of the Korean Data and Information Science Society
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    • 제23권4호
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    • pp.757-764
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    • 2012
  • 복합표본설계에 기초한 범주형 조사자료는 통상적인 피어슨 카이제곱검정에 필요한 조건을 만족하지 못한다. 그러나 많은 조사연구에서 복잡한 표본설계 방법을 적용하고 있지만, 종래의 피어슨 검정결과를 제시하고 있다. 본 연구는 복합표본설계에 의한 범주형자료의 동질성검정에 대한 실증분석을 통해, 종래의 피어슨 검정과 불편검정인 왈드검정, 표본설계를 반영한 비율추정치를 사용하는 피어슨 검정을 비교하였다. 분석결과, 종래의 피어슨검정은 표본설계를 반영하는 검정들에 비해 통계량 값이 매우 크고, 유의확률이 심각하게 작게 나타나는 것을 확인하였다. 복합표본설계를 반영하되 추정량의 분산을 아는 경우와 모르는 경우의 비교에서는 범주수, 설계효과행렬의 고유치들의 평균과 표준편차에 영향을 받는 것을 확인하였다.

Test for Parameter Change based on the Estimator Minimizing Density-based Divergence Measures

  • Na, Ok-Young;Lee, Sang-Yeol;Park, Si-Yun
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2003년도 춘계 학술발표회 논문집
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    • pp.287-293
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    • 2003
  • In this paper we consider the problem of parameter change based on the cusum test proposed by Lee et al. (2003). The cusum test statistic is constructed utilizing the estimator minimizing density-based divergence measures. It is shown that under regularity conditions, the test statistic has the limiting distribution of the sup of standard Brownian bridge. Simulation results demonstrate that the cusum test is robust when there arc outliers.

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TWO-SAMPLE COMPARISON USING SIGN TEST ON RANKED-SET SAMPLES

  • Kim, Dong-Hee;Kim, Young-Cheol
    • Journal of applied mathematics & informatics
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    • 제5권1호
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    • pp.263-268
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    • 1998
  • This paper proposes the two-sample comparison us-ing sign test based on ranked-set sample(RSS). We investigate the asymptotic properties of the proposed test statistic and compare the asymptotic relative efficiencies of the proposed test statistic with re-spect to Mann-Whitney-Wilcoxon test statistic based on RSS and Mann-Whitney-Wilcoxon test statistic based on the simple random sample(SRS).

Sequential Test for Parameter Changes in Time Series Models

  • 이상열;하정철
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2001년도 추계학술발표회 논문집
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    • pp.185-189
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    • 2001
  • In this paper, we consider the problem of testing for parameter changes in time series models based on a sequential test. Although the test procedure is well-established for the mean and variance change, a general parameter case has not been discussed in the literature. Therefore, we develop a sequential test for parameter changes in a more general framework.

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NBU에 대한 지수성 검정법에 관한 연구 (A New Test for New Better than Used Class)

  • 김환중
    • 품질경영학회지
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    • 제27권2호
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    • pp.143-151
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    • 1999
  • In this thesis, a new test statistic is proposed for testing exponentiality against New Better than Used (NBU) alternatives. Our test statistic, which is based on a quadratic function of the order statistics from the sample, is readily applied in the case of small sample. Also, Our test statistic is more simple than the test statistic of Hollander and Proschan(1972).

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Test of Normality Based on the Transformed Lorenz Curve

  • Kang, Suk-Bok;Cho, Young-Suk
    • Communications for Statistical Applications and Methods
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    • 제6권3호
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    • pp.901-908
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    • 1999
  • Using the Transformed Lorenz curve which is introduced by Cho et al.(1999) we propose the test statistic for testing of normality that is very important test in statistical analysis and compare the proposed test statistic with the Shapiro and Wilk's W test statistic in terms of the power of test through by Monte Carlo method.

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영상에서 선형순위검정법을 이용한 에지검출 비교 (Comparison of Edge Detection using Linear Rank Tests in Images)

  • 임동훈
    • 한국컴퓨터정보학회논문지
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    • 제10권6호
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    • pp.17-26
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    • 2005
  • 본 논문에서는 통계학의 선형순위통계량(linear rank statistics)에 기초한 3가지 비모수 검정법 즉. Wilcoxon 검정법, Median 검정법 그리고 Van der Waerden 검정법을 이용하여 에지를 검출하고자 한다. 5$\times$5 윈도우상에서 중심픽셀의 에지여부는 에지-높이 모수(edge-height parameter)를 사용한 모형 하에서 두 영역간의 유의한 차이가 있는지를 검정함으로서 결정한다. 영상실험에서 통계적 방법들 간의 에지검출 성능은 에지맵(edge map)을 통한 정성적인 비교와 객관적인 척도 하에서 정량적인 비교를 통하여 분석하였다.

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The Cusum of Squares Test for Variance Changes in Infinite Order Autoregressive Models

  • Park, Siyun;Lee, Sangyeol;Jongwoo Jeon
    • Journal of the Korean Statistical Society
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    • 제29권3호
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    • pp.351-360
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    • 2000
  • This paper considers the problem of testing a variance change in infinite order autoregressive models. A cusum of squares test based on the residuals from an AR(q) model is constructed analogous to Inclan and Tiao (1994)'s test statistic, where q is a sequence of positive integers diverging to $\infty$. It is shown that under regularity conditions the limiting distribution of the test statistic is the sup of a standard Brownian bridge. Simulation results are given to illustrate the performance of the test.

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