• 제목/요약/키워드: Statistical power of test

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Tests Based on Skewness and Kurtosis for Multivariate Normality

  • Kim, Namhyun
    • Communications for Statistical Applications and Methods
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    • 제22권4호
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    • pp.361-375
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    • 2015
  • A measure of skewness and kurtosis is proposed to test multivariate normality. It is based on an empirical standardization using the scaled residuals of the observations. First, we consider the statistics that take the skewness or the kurtosis for each coordinate of the scaled residuals. The null distributions of the statistics converge very slowly to the asymptotic distributions; therefore, we apply a transformation of the skewness or the kurtosis to univariate normality for each coordinate. Size and power are investigated through simulation; consequently, the null distributions of the statistics from the transformed ones are quite well approximated to asymptotic distributions. A simulation study also shows that the combined statistics of skewness and kurtosis have moderate sensitivity of all alternatives under study, and they might be candidates for an omnibus test.

A Study on Applications of Regression Diagnostic Method to Technometrics, and the Statistical Quality Control

  • Kim, Soon-Kwi
    • 품질경영학회지
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    • 제21권1호
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    • pp.55-64
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    • 1993
  • This article is concerned with procedures for detecting one or more outliers or influential observations in a linear regression model. A test procedure, based on recursive residuals is proposed and developed The power of the test procedure to identify one or more outliers is investigated through simulation, and its relevance to the number and configuration of the outlier.

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생사연감검사에 관한 기초시험 (Fundamental Studies on the Boiling off Test of Raw Silk)

  • 김현수;이덕로;김영진
    • 한국잠사곤충학회지
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    • 제13권1호
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    • pp.69-72
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    • 1971
  • 1. 연감시료량의 적정량을 알아보기 위해 200, 100, 50, 20, 10gr의 생사시료를 연감검사한 결과 각처리간에는 통계적차이를 인정할 수 없었으나 실제로 시료량의 과대 과소에 따른 측정 및 처리오차를 감안할 때 100gr 시료가 적정량이었다. 2. 섬도사를 이용하여 연감검사를 할 경우 꼬인 상태와 풀은 상태로 연감처리할 경우 탄산나트륨같이 제교력이 강한 정연제에서는 차이가 없었으나 Marseilles 비누같이 제교력이 약한 것은 연감율에 있서 현저한 차이가 있었다. 3. 5종의 정연제를 비교한 결과 합성세제와 국산 Marseilles비누와 통계적 유의차를 인정 할 수 없으므로 이와의 대체 이용이 가능하다. 4. 정연제의 제교력은 대체로 정연액의 PH가 클수록 크고 작을수록 작은 경향이 있다.

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Power Comparison of EGLS Test Statistic for Fixed Effects with Arbitrary Distributions

  • Lee, Jang-Taek
    • Communications for Statistical Applications and Methods
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    • 제10권1호
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    • pp.11-18
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    • 2003
  • Quite often normality assumptions are not satisfied in practical applications. In this paper, an estimated generalized least squares(EGLS) analysis are considered in two way mixed linear models with arbitrary types of distributions for random effects. We investigate the power performance of EGLS analysis based on Henderson's method III, ML, REML and MINQUE(1). The power performances depend on the imbalance of design, on the actual values of ratio of variance components, and on the skewness and kurtosis parameters of the underlying distributions slightly. Results of our limited simulation study suggest that the EGLS F-statistics using four estimators and arbitrary distributions produce similar type I error rates and power performance.

Testing Exponentiality of Kullback-Leibler Information Function based on a Step Stress Accelerated Life Test

  • 박병구;윤상철
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2000년도 추계학술발표회 논문집
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    • pp.235-240
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    • 2000
  • In this paper a test of fit for exponentiality and we propose the estimator of Kullback-Leibler Information functions using the data from accelerated life tests. This acceleration model is assumed to be a tampered random variable model. The procedure is applicable when the exponential parameter based on the data from accelerated life tests is or is not specified under null hypothesis. Using Simulations, the power of the proposed test based on use condition of accelerated life test under alternatives is compared with that of other standard tests in the small sample.

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Unit Root Test for Temporally Aggregated Autoregressive Process

  • Shin, Dong-Wan;Kim, Sung-Chul
    • Journal of the Korean Statistical Society
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    • 제22권2호
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    • pp.271-282
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    • 1993
  • Unit root test for temporally aggregated first order autoregressive process is considered. The temporal aggregate of fist order autoregression is an autoregressive moving average of order (1,1) with moving average parameter being function of the autoregressive parameter. One-step Gauss-Newton estimators are proposed and are shown to have the same limiting distribution as the ordinary least squares estimator for unit root when complete observations are available. A Monte-Carlo simulation shows that the temporal aggregation have no effect on the size. The power of the suggested test are nearly the same as the powers of the test based on complete observations.

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한국 여자대학생의 굴절성 근시와 각막난시 관계 (The Relationship between Refractive Myopia and Corneal Astigmatism in Korea Women University Students)

  • 김덕훈
    • 한국임상보건과학회지
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    • 제1권1호
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    • pp.1-7
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    • 2013
  • Purpose. To analysis the prevalence of the myopia and corneal astigmatism in Korea women university students. Methods. From August 2011 to December 2012, one hundreds subjects were performed in refraction test using the Auto-Keratometry. Results. The mean age of the 100 subjects (200 eyes) was $21.23{\pm}2.34$. The mean spherical refractive power was -$1.78{\pm}1.65$(OD) and -$1.83{\pm}1.67$(OS) Diopter. The mean astigmatism power was $1.22{\pm}0.96$ (OD) and $1.27{\pm}0.91$ (OS). The mean corneal astigmatism was $1.44{\pm}0.81$(OD) and $1.55{\pm}0.93$(OS). Corneal astigmatism was between 0.25 D and 1.25 D in 67.7% of eyes, 1.25 D or higher in 27.5% eyes, and less than 0.25 D in 4.8% of eyes. Astigmatism was with the rule in 65%, against the rule in 31.5%, and oblique in 3.5%. There was a statistical significance between right eye and left eye in the spherical equivalent power(p=0.002). Also there was a statistical significance between spherical power and refractive astigmatism in OD(p=0.006) and OS(0.003) and a statistical significance between corneal astigmatism and refractive astigmatism in OS(p=0.0003). However, there was not a statistical significance between spherical power and corneal astigmatism in OD(p=0.08) and OS(0.1) and a statistical significance between corneal astigmatism and refractive astigmatism in OS(p=0.48). Conclusions. In this study, these results suggested that the analysis of the refractive myopia and corneal astigmatism can provide the visual correct and useful diagnosis information for the eyewear dispensing, contact lens fitting and corneal refraction surgery.

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Simultaneous Unit Roots Tests for Both Regular and Seasonal Unit Roots

  • Sinsup Cho;Jeong Hyeong Lee;Young Jin Park;Heon Jin Park
    • Communications for Statistical Applications and Methods
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    • 제4권3호
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    • pp.663-676
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    • 1997
  • We obtain the simultaneous unit roots test statistics for both regular and seasonal unit roots in a time series with possible seasonal deterministic trends. The limiting distributions of the proposed test statistics are derived and empirical percentiles of the test statistics are tabulated for some seasonal periods. The power and size of the test statistics are examined for finite samples through a Monte Carlo simulation and Compared with those of the Lagrange multiplier test.

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저전력 테스트를 고려한 효율적인 테스트 데이터 압축 방법 (An Efficient Test Data Compression/Decompression for Low Power Testing)

  • 전성훈;임정빈;김근배;안진호;강성호
    • 대한전자공학회논문지SD
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    • 제42권2호
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    • pp.73-82
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    • 2005
  • 스캔 테스트를 위한 테스트 데이터의 양과 파워 소모는 SoC 테스트에서의 최근의 직면한 가장 큰 문제들이다. 따라서 본 논문에서는 저전력 테스트를 고려한 새로운 테스트 데이터 압축 방법을 제안한다. 제안하는 압축 방법은 테스트 데이터 압축을 위해 압축율, 전력 소모 감소율과 하드웨어 오버헤드를 고려하여 최대 효율을 가지도록 하는데 기초하고 있다. 압축율과 전력 감소율을 높이기 위해서 본 논문에서는 IR (Input Reduction) 기법과 MSCIR (Modified Statistical Code using Input Reduction) 압축 코드을 사용하며, 뿐만아니라 이를 위한 사전 작업인 새로운 스캔 플립플롭 순서 재조합 기법 및 테스트 패턴 순서 재조합 방법을 제안한다. 기존의 연구와는 달리 CSR 구조를 사용하지 않고 원래의 테스트 데이터 $T_D$를 사용하여 압축하는 방법을 사용한다. 이렇게 함으로써 제안하는 압축 방법은 기존의 연구에 비해 훨씬 높은 압축율을 가지며 낮은 하드웨어 오버헤드의 디컴프레션 구조와 적은 전력 소모를 가진다. ISCAS '89 벤치 회로에 대찬 기존의 연구와의 비교로서 그 결과를 알 수 있다.

Statistical tests for biosimilarity based on relative distance between follow-on biologics for ordinal endpoints

  • Yoo, Myung Soo;Kim, Donguk
    • Communications for Statistical Applications and Methods
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    • 제27권1호
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    • pp.1-14
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    • 2020
  • Investigations of biosimilarity between reference drugs and test drugs required statistical tests; in addition, statistical tests to evaluate biosimilarity have been recently proposed. Ordinal outcome data has been observed in research; however, appropriate statistical tests to deal with ordinal endpoints for biosimilar have not yet been proposed. This paper extends existing design for ordinal endpoints. Using measure of nominal-ordinal association and relative distances between drugs are defined so that testing procedures are developed. Through simulation studies, we investigate type I error rate and power to show the performance of our suggested method. Furthermore, a comparison between the statistical tests and other designs is proviede to show significance of ordinal endpoints.