• 제목/요약/키워드: nonparametric tests

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Nonparametric Tests for 2×2 Cross-Over Design

  • Gee, Kyuhoon;Kim, Dongjae
    • Communications for Statistical Applications and Methods
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    • 제19권6호
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    • pp.781-791
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    • 2012
  • A $2{\times}2$ Cross-over design is widely used in clinical trials for comparison studies of two kinds of drugs or medical treatments. This design has many statistical methods such as Hills-Armitage's (1979) method or Koch's (1972) method. In this paper, we propose a nonparametric test for $2{\times}2$ Cross-over design based on a two-sample test suggested by Baumgartner et al. (1998). In addition, a Monte Carlo simulation study is adapted to compare the power of the proposed methods with those of previous methods.

반복이 있는 랜덤화 블록 계획법의 위치를 이용한 비모수 검정법 (Nonparametric procedures using placement in randomized block design with replications)

  • 이상이;김동재
    • Journal of the Korean Data and Information Science Society
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    • 제22권6호
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    • pp.1105-1112
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    • 2011
  • 반복이 있는 랜덤화 블록 계획법을 검정하는 검정법은 Mack (1981), Skilling과 Wolfe (1977, 1978), Hettmansperger (1975)가 제안한 방법이 있다. 본 논문에서는 Orban과 Wolfe (1982)가 제안한 위치와 Kim (1999)이 제안한 대조군과 처리군의 방법을 확장하여 반복이 있는 랜덤화 블록 모형에서 새로운 방법을 제안하였다. 또한 모의 실험을 통하여 다른 비모수 검정 방법들과 모수 검정 방법의 검정력을 비교하였다.

Nonparametric Test Procedures for Change Point Problems in Scale Parameter

  • Cho, Wan-Hyun;Lee, Jae-Chang
    • Journal of the Korean Statistical Society
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    • 제19권2호
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    • pp.128-138
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    • 1990
  • In this paper we study the properties of nonparametric tests for testing the null hypothesis of no changes against one sided and two sideds alternatives in scale parameter at unknown point. We first propose two types of nonparametric tests based on linear rank statistics and rank-like statistics, respectively. For these statistics, we drive the asymptotic distributions under the null and contiguous alternatives. The main theoreticla tools used for derivation are the stochastic process representation of the test staistic and the Brownian bridge approximation. We evaluate the Pitman efficiencies of the test for the contiguous alternatives, and also compute empirical power by Monte Carlo simulation.

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Nonparametric Tests for Monotonicity Properties of Mean Residual Life Function

  • Jeon, Jong-Woo;Park, Dong-Ho
    • Journal of the Korean Statistical Society
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    • 제26권1호
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    • pp.101-116
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    • 1997
  • This is primarily an expository paper that presents several nonparametric procedures for testing exponentiality against certain monotonicity properties of the mean residual life function, tests against the trend change in such function attract a great deal of attention of late in reliability analysis. In this note, we present some of the known testing procedures regarding the behavior of mean residual life function. These tests are also compared in terms of asymptotic relative efficiency and empirical power against a few alternatives. The tests based on incomplete data are also briefly discussed.

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비모수적(非母數的) 통계(統計) 프로그램의 개발(開發) (Computer Programs for Nonparametric Tests)

  • 배도선;장중순;김상복
    • 대한산업공학회지
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    • 제12권2호
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    • pp.101-108
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    • 1986
  • Computer programs for IBM PC/XT/AT or compatibles, are presented for running 9 nonparametric tests. They include sign test, Wilcoxon signed rank test, Mann-Whitney Wilcoxon test, Kruskal-Wallis test, Kolmogorov-Smirnov one sample and two sample tests, Kendall and Spearman rank correlation coefficient tests, and Chi square test for contingency table. Each program is written with BASIC language and is combined into a statistical package, 'NONPARA'. It is easily accessible through the menu programs. The alogorithms on which each test is based, are also explained and 3 examples are given.

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k개의 회귀직선에서 기울기들의 우산형 대립가설에 대한 평행성의 비모수 검정법에 관한 연구 (Nonparametric tests of parallelism aginst umbrella alternatives of slopes in k-regression lines)

  • 김동희;임동훈
    • 응용통계연구
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    • 제7권1호
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    • pp.19-34
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    • 1994
  • 본 논문에서는 K개의 회귀직선에서 기울기들의 우산형 대립가설에 대한 평행성을 검정하는 비모수 검정법을 제안하고 제안된 검정법의 점근적 성질들을 고찰하고자 한다. 정점을 알고 있는 경우와 모르고 있는 경우로 구분하여 검정법을 제시하고 몇몇 분포에 대해 모의 실험을 해본 결과 제안된 검정통계량이 꼬리가 두터운 분포에서 우도비 검정법들보다 검정력이 우수함을 보였다.

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확률화 블럭 계획법에서 최적 가중치를 이용한 우산형 대립가설의 비모수검정법 (Nonparametric tests using optimal weights for umbrella alternatives in a randomized block design)

  • 김동희;김영철
    • 응용통계연구
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    • 제9권1호
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    • pp.139-152
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    • 1996
  • 확률화 블럭 계획법에서 최적 가중치를 이용한 우산형 대립가설에 대한 비모수검정법을 제안하고자 한다. Mack과 Wolfe(1981) 형태의 통계량에 대한 제안된 통계량의 점근상대효율을 최대로 하는 가중치를 구하고, 이러한 가중치를 가지는 제안된 통계량과 Mack과 Wolfe 형태의 통계량 및 선형 순위 통계량의 점근상대 효율을 고려하였다. 소표본에서 모의 실험을 통하여 블럭의 크기가 다른 경우 제안된 통계량의 검정력이 우수함을 보였다.

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On the Equality of Two Distributions Based on Nonparametric Kernel Density Estimator

  • Kim, Dae-Hak;Oh, Kwang-Sik
    • Journal of the Korean Data and Information Science Society
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    • 제14권2호
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    • pp.247-255
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    • 2003
  • Hypothesis testing for the equality of two distributions were considered. Nonparametric kernel density estimates were used for testing equality of distributions. Cross-validatory choice of bandwidth was used in the kernel density estimation. Sampling distribution of considered test statistic were developed by resampling method, called the bootstrap. Small sample Monte Carlo simulation were conducted. Empirical power of considered tests were compared for variety distributions.

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Nonparametric Tests in AB/BA/AA/BB Crossover Design

  • Nam, Jusun;Kim, Dongjae
    • Communications for Statistical Applications and Methods
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    • 제9권3호
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    • pp.607-618
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    • 2002
  • Crossover design is often used in clinical trials about chronic diseases like hypertension, asthma and arthritis. In this paper, we suggest nonparametric approaches of Friedman-type rank test based on Bernard-van Elteren test and of aligned method keeping the information of blocks based on the AB/BA/AA/BB crossover design. The simulation results are presented to compare experimental error and power of several methods.