• 제목/요약/키워드: Test Statistic

검색결과 796건 처리시간 0.027초

Outlier Tests in Sample Surveys

  • Namkyung, Pyong;Lee, Joon Suk
    • Communications for Statistical Applications and Methods
    • /
    • 제7권2호
    • /
    • pp.447-456
    • /
    • 2000
  • In this paper, we considered three methods for outlier identification sample surveys. First, we studied method of handling and adjusting outliers in normal population. Second, we studied existing methods using mean, maximum and minimum and proposed a test using of median which well reflects characteristic of data regardless of sampling distribution. Finally, we showed our test using median works better than Dixon and mean test through simulation.

  • PDF

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

  • Na, Ok-Young;Lee, Sang-Yeol;Park, Si-Yun
    • 한국통계학회:학술대회논문집
    • /
    • 한국통계학회 2003년도 춘계 학술발표회 논문집
    • /
    • pp.287-293
    • /
    • 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.

  • PDF

Use of Beta-Polynomial Approximations for Variance Homogeneity Test and a Mixture of Beta Variates

  • Ha, Hyung-Tae;Kim, Chung-Ah
    • Communications for Statistical Applications and Methods
    • /
    • 제16권2호
    • /
    • pp.389-396
    • /
    • 2009
  • Approximations for the null distribution of a test statistic arising in multivariate analysis to test homogeneity of variances and a mixture of two beta distributions by making use of a product of beta baseline density function and a polynomial adjustment, so called beta-polynomial density approximant, are discussed. Explicit representations of density and distribution approximants of interest in each case can easily be obtained. Beta-polynomial density approximants produce good approximation over the entire range of the test statistic and also accommodate even the bimodal distribution using an artificial example of a mixture of two beta distributions.

Goodness-of-Fit Test Based on Smoothing Parameter Selection Criteria

  • Kim, Jong-Tae
    • Communications for Statistical Applications and Methods
    • /
    • 제2권1호
    • /
    • pp.122-136
    • /
    • 1995
  • The objective of this research is to investigate the problem of goodness-of-fit testing based on nonparametric density estimation with a data-driven smoothing parameter. The small and large sample properties of a new test statistic $\hat{\lambda_a}$ is investigated. The test statistic $\hat{\lambda_a}$ is itself a smoothing parameter which is selected to minimize an estimated MISE for a truncated series estimator of the comparison density function. Therefore, this test statistic leads immediately to a point estimate of the density function th the event that $H_0$ is rejected. The limiting distribution of $\hat{\lambda_a}$ is obtained under the null hypothesis. It is also shown that this test is consistent against fixed alternatives.

  • PDF

Comparative Statistic Module (CSM) for Significant Gene Selection

  • Kim, Young-Jin;Kim, Hyo-Mi;Kim, Sang-Bae;Park, Chan;Kimm, Kuchan;Koh, InSong
    • Genomics & Informatics
    • /
    • 제2권4호
    • /
    • pp.180-183
    • /
    • 2004
  • Comparative Statistic Module(CSM) provides more reliable list of significant genes to genomics researchers by offering the commonly selected genes and a method of choice by calculating the rank of each statistical test based on the average ranking of common genes across the five statistical methods, i.e. t-test, Kruskal-Wallis (Wilcoxon signed rank) test, SAM, two sample multiple test, and Empirical Bayesian test. This statistical analysis module is implemented in Perl, and R languages.

회귀직선에서 순서대립가설에 대한 비모수적 검정법 연구 (A study on a nonparametric test for ordered alternatives in regreesion problem)

  • 이기훈
    • 응용통계연구
    • /
    • 제6권2호
    • /
    • pp.237-245
    • /
    • 1993
  • 본 논문에서는 순서대립가설에 대하여 k개의 회귀직선의 평행선을 검정하는 비모수적 검정 법을 제안하였다. 검정통계량은 각 직선에서 얻은 기울기 추정량들에 가중치를 준죤키어 (Jonckheere)형태의 통계량이다. 제안된 통계량의 분포는 점근적으로 정규분포를 따르게 되 어, 검정법은 점근분포무관검정이 된다. 모수적 검정법과 비교한 점근상대효율은 바람직한 형태를 가지며, 기존의 비모수적 검정법과 비교하여도 더 효율적임을 보였다.

  • PDF

On a Distribution-Free Test for Parallelism of Regression Lines Against Ordered Alternatives

  • Song, Moon Sup;Huh, Moon Yul;Kang, Hee Jeong
    • 품질경영학회지
    • /
    • 제15권2호
    • /
    • pp.50-54
    • /
    • 1987
  • A distribution-free rank test for parallelism of regression lines against ordered alternatives is considered. The proposed test statistic is based on the Kepner-Robinson's transformation. The null distribution of the proposed statistic is the same as that of the Wilcoxon signed rank statistic. But, the proposed procedure can be applied only to four or fewer regression lines. The results of a small-sample Monte Carlo study show that the proposed test is comparable with the parametric test in heavy tailed distributions.

  • PDF

주변값이 주어진 이원분할표에 대한 카이제곱 검정통계량의 소표본 분포 및 대표본 분포와의 일치성 연구 (On the Small Sample Distribution and its Consistency with the Large Sample Distribution of the Chi-Squared Test Statistic for a Two-Way Contigency Table with Fixed Margins)

  • 박철용;최재성;김용곤
    • Journal of the Korean Data and Information Science Society
    • /
    • 제11권1호
    • /
    • pp.83-90
    • /
    • 2000
  • 이원분할표의 두 범주형 변수에 대한 독립성을 검정할 때 흔히 카이제곱 검정통계량이 사용된다. 표본추출 모형이 다항이나 곱다항인 경우 이 검정통계량이 독립성 가정하에서 근사적으로 카이제곱 분포를 따르게 되는 것은 잘 알려진 사실이다. 두 주변값이 모두 주어진 경우 독립성 가정하에서 표본추출 모형은 다중 초기하분포가 되며 앞의 모형과 마찬가지로 카이제곱 통계량에 근거한 검정을 사용할 수 있다. 이 연구에서는 주변값이 주어진 경우에 카이제곱 통계량의 소표본 분포를 대표본 분포인 카이제곱 분포와 비교하고자 한다. 표본크기가 작은 몇 개의 경우에 대해 카이제곱 통계량의 소표본 분포를 직접 계산해보았다. 표본크기가 큰 몇 개의 경우는 간단한 몬테칼로 알고리듬을 통해 소표본 분포를 생성하고 카이제곱 확률도와 콜모고로브-스미노브 단일표본 검정을 이용하여 대표본 분포와의 일치성을 알아보았다.

  • PDF

GM 고추의 환경위해성 평가 프로토콜 작성을 위한 농업적 형질 분석 (Analysis of Agricultural Characters to Establish the Evaluating Protocol and Standard Assessment for Genetically Modified Peppers)

  • 조동욱;정규환
    • 한국환경과학회지
    • /
    • 제20권9호
    • /
    • pp.1183-1190
    • /
    • 2011
  • This study was aimed to establish the evaluating protocol and standard assessment for genetically modified (GM) hot pepper and to find out a proper statistic method to analyze for equality of agricultural characters between GM and non-GM pepper lines. GM and non-GM hot pepper lines were cultivated in two GMO fields in the middle region of Korea and total of 52 agricultural characters were collected during the plant growing season for 4 years, 2007 to 2010. Levene's test was conducted to confirm the homogeneity of raw data before statistic analysis. Two-way ANOVA in the multivariate tests and t-test were conducted to analyze 52 agricultural characters in order to find out the equality between H15 and P2377. From the statistical analysis through two-way ANOVA, 16 out of 16 plant growth traits, 9 out of 18 green fruit traits and 7 out of 18 red fruit traits among 4 years and 9 out of 16 plant growth traits, 4 out of 18 green fruit traits and 3 out of 18 red fruit traits between H15 and P2377 have shown the statistic differences. With the same raw data of 52 agricultural characters, t-test was also conducted. Based on the result from t-test, only 1 out of 16 plant growth traits, 2 out of 18 green fruit traits and 1 out of 18 red fruit traits have shown the differences between H15 and P2377, so that it was concluded that there is no statistic difference between H15 and P2377 in terms of agricultural characters. Also, the t-test is a proper statistic method to analyze each trait between GM and its control lines in order to evaluate agricultural characters.

On Testing Multisample Sphericity in the Complex Case

  • Nagar, D.K.;Gupta, A.K.
    • Journal of the Korean Statistical Society
    • /
    • 제13권2호
    • /
    • pp.73-80
    • /
    • 1984
  • In this paper, likelihood-ratio test has been derived for testing multisample sphericity in complex multivariate Gaussian populations. The $h^{th}$ moment of the test statistic is given and its exact distribution has been derived using inverse Mellin transform. Asymptotic distribution of the statistic is also given.

  • PDF