• Title/Summary/Keyword: two-sample test

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One-step Sample Size Determination for 2×2 Bioequivalence Study (2×2 생물학적 동등성 시험 적정 피험자 수의 간단한 계산 방법)

  • Lee, Young-Joo;Yi, Hong-Jae;Kim, Han-Gyul;Oh, Ju-Hee;Shin, Yong-Jun;Kim, Young-Gi;Kim, Sang-Nyun
    • Journal of Pharmaceutical Investigation
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    • v.39 no.3
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    • pp.217-219
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    • 2009
  • There are several approaches to calculate a sample size for bioequivalence test. Among these approaches, sample sizes determination based on Schuirmann's two one-sided tests procedures has been used most popularly in case of 2${\times}$2 bioequivalence study. Here we proposed simple sample size table for conventional 2${\times}$2 bioequivalence test based on Schuirmann's two one-sided tests in accordance with Korean Guidelines for Bioequivalence Test. This table will allow researchers with a little statistical background to calculate the sample size for bioequivalence with easy process.

Testing Hypothesis for the Logistic Model with Estimated Parameters : Modified Tables of Cirticla Values for K-S Type Statistic

  • Hwang, Chung-Sun
    • Journal of the Korean Statistical Society
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    • v.13 no.1
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    • pp.48-56
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    • 1984
  • This paper considers one-sample and two-sample test for the logistic function by means of Kolmororov-Smirnov type statistics. The standard tables used for the Kolmogorov-Smirnov test are valid only when the function is completely specified; but they are not valid if the parameters of function are estimated from the sample. This note presents modified tables for the Kolmogorov-Sminov type staistic. These tables can be used to test the hypothesis that a sample comes from a logistic function when shape parameter $(\alpha)$ and location parameter $(\beta)$ must be estimated from the sample by the method of maximum likelihood. Monte Carlo method is employed to calculate the criticla values of the test. The tables of the critical values are provided.

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Reproducibility and Sample Size in High-Dimensional Data (고차원 자료의 재현성과 표본 수)

  • Seo, Won-Seok;Choi, Jee-A;Jeong, Hyeong-Chul;Cho, Hyung-Jun
    • The Korean Journal of Applied Statistics
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    • v.23 no.6
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    • pp.1067-1080
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    • 2010
  • A number of methods have been developed to determine sample sizes in clinical trial, and most clinical trial organizations determine sample sizes based on the methods. In contrast, determining sufficient sample sizes needed for experiments using microarray chips is unsatisfactory and not widely in use. In this paper, our objective is to provide a guideline in determining sample sizes, utilizing reproducibility of real microarray data. In the reproducibility comparison, five methods for discovering differential expression are used: Fold change, Two-sample t-test, Wilcoxon rank-sum test, SAM, and LPE. In order to standardize gene expression values, both MAS5 and RMA methods are considered. According to the number of repetitions, the upper 20 and 100 gene accordances are also compared. In determining sample sizes, more realistic information can be added to the existing method because of our proposed approach.

A Study on Development of Test Methodology and Test of No Spin Differential for Off-road Vehicle (야지 차량용 No Spin Differential의 평가방안 개발 및 시험평가에 관한 연구)

  • Pyoun Youngshik;Jang Youngdo;Park Jeonghyeon;Cho Inho;Lee Youngchun
    • Transactions of the Korean Society of Automotive Engineers
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    • v.13 no.4
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    • pp.32-38
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    • 2005
  • Two No Spin Differential(NSD) models were benchmarked for a project of Dual-Use Technology The Axiomatic approach was utilized to evaluate two models and to derive an evolutionary design from the evaluated results. Test methodology is developed and used to evaluate the mobility, steerability, durability and noise of the newly developed sample. The test results of NSD sample on the test methodology are very positive regarding functional performances.

Window Configurations Comparison Based on Statistical Edge Detection in Images (영상에서 윈도우 배치에 따른 통계적 에지검출 비교)

  • Lim, Dong-Hoon
    • Communications for Statistical Applications and Methods
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    • v.16 no.4
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    • pp.615-625
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    • 2009
  • In this paper we describe Wilcoxon test and T-test that are well-known in two-sample location problem for detecting edges under different window configurations. The choice of window configurations is an important factor in determining the performance and the expense of edge detectors. Our edge detectors are based on testing the mean values of local neighborhoods obtained under the edge model using an edge-height parameter. We compare three window configurations based on statistical tests in terms of qualitative measures with the edge maps and objective, quantitative measures as well as CPU time for detecting edge.

Analysis of a Queueing Model with a Two-stage Group-testing Policy (이단계 그룹검사를 갖는 대기행렬모형의 분석)

  • Won Seok Yang
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.45 no.4
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    • pp.53-60
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    • 2022
  • In a group-testing method, instead of testing a sample, for example, blood individually, a batch of samples are pooled and tested simultaneously. If the pooled test is positive (or defective), each sample is tested individually. However, if negative (or good), the test is terminated at one pooled test because all samples in the batch are negative. This paper considers a queueing system with a two-stage group-testing policy. Samples arrive at the system according to a Poisson process. The system has a single server which starts a two-stage group test in a batch whenever the number of samples in the system reaches exactly a predetermined size. In the first stage, samples are pooled and tested simultaneously. If the pooled test is negative, the test is terminated. However, if positive, the samples are divided into two equally sized subgroups and each subgroup is applied to a group test in the second stage, respectively. The server performs pooled tests and individual tests sequentially. The testing time of a sample and a batch follow general distributions, respectively. In this paper, we derive the steady-state probability generating function of the system size at an arbitrary time, applying a bulk queuing model. In addition, we present queuing performance metrics such as the offered load, output rate, allowable input rate, and mean waiting time. In numerical examples with various prevalence rates, we show that the second-stage group-testing system can be more efficient than a one-stage group-testing system or an individual-testing system in terms of the allowable input rates and the waiting time. The two-stage group-testing system considered in this paper is very simple, so it is expected to be applicable in the field of COVID-19.

Power comparison of distribution-free two sample goodness-of-fit tests (이표본 분포 동일성에 대한 분포무관 검정법 간 검정력 비교 연구)

  • Kim, Seon Bin;Lee, Jae Won
    • The Korean Journal of Applied Statistics
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    • v.30 no.4
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    • pp.513-528
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    • 2017
  • Statistics are often used to test two samples if they have been drawn from the same underlying distribution. In this paper, we introduce several well-known distribution-free tests to compare distributions and conduct an extensive Monte-Carlo simulation to specify their behaviors. We consider various circumstances of when two distributions vary in (1) location, (2) scale, (3) symmetry, (4) kurtosis, (5) tail weight. A practical guideline for two-sample goodness-of-fit test is presented based on the simulation result.

Permutation Analysis of Split-Half Reliability Coefficient

  • Um, Yonghwan
    • Journal of the Korea Society of Computer and Information
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    • v.22 no.7
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    • pp.133-139
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    • 2017
  • In this paper, we describe a permutation procedure in which we compute a resampling probability value and empirical quantile limits for Split-Half measure of internal reliability. We use the Split-Half reliability coefficient given by two simple methods, the Spearman-Brown formula and the two-part coefficient alpha. The use of a permutation test for Split-Half reliability coefficient is highlighted as a valuable tool when the sample sizes are small and necessary assumptions cannot be met. The permutation tests for Split-Half reliability coefficient are illustrated with an example analysis of two survey data with a sample size of 15 and 35, respectively, and a hypothetical data with a sample size of 5.

A Two Sample Test for Functional Data

  • Lee, Jong Soo;Cox, Dennis D.;Follen, Michele
    • Communications for Statistical Applications and Methods
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    • v.22 no.2
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    • pp.121-135
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    • 2015
  • We consider testing equality of mean functions from two samples of functional data. A novel test based on the adaptive Neyman methodology applied to the Hotelling's T-squared statistic is proposed. Under the enlarged null hypothesis that the distributions of the two populations are the same, randomization methods are proposed to find a null distribution which gives accurate significance levels. An extensive simulation study is presented which shows that the proposed test works very well in comparison with several other methods under a variety of alternatives and is one of the best methods for all alternatives, whereas the other methods all show weak power at some alternatives. An application to a real-world data set demonstrates the applicability of the method.

Goodness-of-Fit-Test from Censored Samples

  • Cho, Young-Suk
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.1
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    • pp.41-52
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    • 2006
  • Because most common assumption is normality in statistical analysis, testing normality is very important. The Q-Q plot is a powerful tool to test normality with full samples in statistical package. But the plot can't test normality in type-II censored samples. This paper proposed the modified the Q-Q plot and the modified normalized sample Lorenz curve(NSLC) for normality test in the type-II censored samples. Using the two Hodgkin's disease data sets and the type-II censored samples, we picture the modified Q-Q plot and the modified normalized sample Lorenz curve.

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