• 제목/요약/키워드: Test of Homogeneity

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The Bahadur Efficiency of the Power-Divergence Statistics Conditional on Margins for Testing homogeneity with Equal Sample Size

  • Kang, Seung-Ho
    • Journal of the Korean Statistical Society
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    • 제26권4호
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    • pp.453-465
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    • 1997
  • The family of power-divergence statistics conditional on margins is considered for testing homogeneity of .tau. multinomial populations with equal sample size and the exact Bahadur slope is obtained. It is shown that the likelihood ratio test conditional on margins is the most Bahadur efficient among the family of power-divergence statistics.

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Tests for homogeneity of proportions in clustered binomial data

  • Jeong, Kwang Mo
    • Communications for Statistical Applications and Methods
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    • 제23권5호
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    • pp.433-444
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    • 2016
  • When we observe binary responses in a cluster (such as rat lab-subjects), they are usually correlated to each other. In clustered binomial counts, the independence assumption is violated and we encounter an extra-variation. In the presence of extra-variation, the ordinary statistical analyses of binomial data are inappropriate to apply. In testing the homogeneity of proportions between several treatment groups, the classical Pearson chi-squared test has a severe flaw in the control of Type I error rates. We focus on modifying the chi-squared statistic by incorporating variance inflation factors. We suggest a method to adjust data in terms of dispersion estimate based on a quasi-likelihood model. We explain the testing procedure via an illustrative example as well as compare the performance of a modified chi-squared test with competitive statistics through a Monte Carlo study.

Comparing More than Two Agreement Measures Using Marginal Association

  • Oh, Myong-Sik
    • Communications for Statistical Applications and Methods
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    • 제16권6호
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    • pp.1023-1029
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    • 2009
  • Oh (2009) has proposed a likelihood ratio test for comparing two agreements for dependent observations based on the concept of marginal homogeneity and marginal stochastic ordering. In this paper we consider the comparison of more than two agreement measures. Simple ordering and simple tree ordering among agreement measures are investigated. Some test procedures, including likelihood ratio test, are discussed.

Homogeneity of lightweight aggregate concrete assessed using ultrasonic-echo sensing

  • Wang, H.Y.;Li, L.S.;Chen, S.H.;Weng, C.F.
    • Computers and Concrete
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    • 제6권3호
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    • pp.225-234
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    • 2009
  • Dredged silt from reservoirs in southern Taiwan was sintered to make lightweight aggregates (LWA), which were then used to produce lightweight aggregate concrete (LWAC).This study aimed to assess the compressive strength and homogeneity of LWAC using ultrasonic-echo sensing. Concrete specimens were prepared using aggregates of four different particle density, namely 800, 1100, 1300 and 2650 kg/$m^3$. The LWAC specimens were cylindrical and a square wall with core specimens drilled. Besides compressive strength test, ultrasonic-echo sensing was employed to examine the ultrasonic pulse velocity and homogeneity of the wall specimens and to explore the relationship between compressive strength and ultrasonic pulse velocity. Results show that LWA, due to its lower relative density, causes bloating, thus resulting in uneven distribution of aggregates and poor homogeneity. LWAC mixtures using LWA of particle density 1300 kg/$m^3$ show the most even distribution of aggregates and hence best homogeneity as well as highest compressive strength of 63.5 MPa. In addition, measurements obtained using ultrasonic-echo sensing and traditional ultrasonic method show little difference, supporting that ultrasonic-echo sensing can indeed perform non-destructive, fast and accurate assessment of LWAC homogeneity.

카드뮴 분석용 홍합(Mytilus coruscus) 표준물질의 균질성 및 안정성 시험평가 (Evaluation of Homogeneity and Stability of Korean Mussel (Mytilus coruscus) Standards for Cadmium Analysis)

  • 이하은;이장호;정다위;이수용;박기완;심규영
    • 한국환경과학회지
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    • 제28권11호
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    • pp.1041-1045
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    • 2019
  • In this study, the KS A ISO Guide 35 was applied to develop analytical standards for heavy metal cadmium using the Korean mussel (Mytilus coruscus) and to evaluate the homogeneity and stability of the sample. Some of the crucial characteristics that reference materials must consist include homogeneity and stability of both intra- and inter-bottles. We tested homogeneity using ANOVA analysis and short-term stability using regression analysis. The variations of cadmium concentrations did not significantly differ between intra- and inter-bottles (F=0.41, p=0.90). For short-term stability verification, cadmium analysis results were not statistically significant as a result of the regression analysis (significance F=0.51, p=0.53). This suggests that we can not dismiss the null hypothesis that there is no significant variation in concentrations of cadmium over time. These results indicated that the cryogenic-milling process has statistically proven the short-term stability for materials from mussels in the chemical analysis of cadmium. Therefore, we propose that the Korean mussel's reference material developed for the proficiency test could be used as a tool to evaluate reliability and consistency in laboratories.

On Testing Equality of Matrix Intraclass Covariance Matrices of $K$Multivariate Normal Populations

  • Kim, Hea-Jung
    • Communications for Statistical Applications and Methods
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    • 제7권1호
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    • pp.55-64
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    • 2000
  • We propose a criterion for testing homogeneity of matrix intraclass covariance matrices of K multivariate normal populations, It is based on a variable transformation intended to propose and develop a likelihood ratio criterion that makes use of properties of eigen structures of the matrix intraclass covariance matrices. The criterion then leads to a simple test that uses an asymptotic distribution obtained from Box's (1949) theorem for the general asymptotic expansion of random variables.

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A Review of Structural Testing Methods for ASIC based AI Accelerators

  • Umair, Saeed;Irfan Ali, Tunio;Majid, Hussain;Fayaz Ahmed, Memon;Ayaz Ahmed, Hoshu;Ghulam, Hussain
    • International Journal of Computer Science & Network Security
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    • 제23권1호
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    • pp.103-111
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    • 2023
  • Implementing conventional DFT solution for arrays of DNN accelerators having large number of processing elements (PEs), without considering architectural characteristics of PEs may incur overwhelming test overheads. Recent DFT based techniques have utilized the homogeneity and dataflow of arrays at PE-level and Core-level for obtaining reduction in; test pattern volume, test time, test power and ATPG runtime. This paper reviews these contemporary test solutions for ASIC based DNN accelerators. Mainly, the proposed test architectures, pattern application method with their objectives are reviewed. It is observed that exploitation of architectural characteristic such as homogeneity and dataflow of PEs/ arrays results in reduced test overheads.

두 집단 평균 차이 검정에서 분산의 동질성에 관한 소고 (Note on the Equality of Variances in Two Sample t-Test)

  • 김상철;임요한
    • Communications for Statistical Applications and Methods
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    • 제17권1호
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    • pp.79-88
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    • 2010
  • 기초통계학의 수업에서 두 집단간 평균의 차이를 검정함에 있어 두 집단의 분산의 동질성 여부에 따라 다른 통계 절차를 사용할 것을 제안하고 있다. 이러한 이유로 통계 분석에 사용되는 SAS나 SPSS 등의 패키지에서는 두 집단의 평균 차이의 검정에 앞서 분산의 동질성 검정을 선행할 것을 제안한다. 하지만, 이전의 몇몇 연구에서 알려진 바와 같이 이러한 이 단계 검정 절차는 검정의 유의수준(제 1종의 오류)을 제어하기가 어렵다. 본 글에서는 이 단계 검정을 행함에 있어 1 단계와 2 단계의 유의수준 ${\alpha}_1$${\alpha}_2$를 조절하여 전체 검정의 유의수준을 주어진 ${\alpha}$ 이하로 제어하는 절차를 소개한다.

The Eccentric Properties of the Chi-Squared Test with Yates' Continuity Correction in Extremely Unbalanced 2×2 Contingency Table

  • Kang, Seung-Ho;Kwon, Tae-Hyuk
    • 응용통계연구
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    • 제23권4호
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    • pp.777-781
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    • 2010
  • Yates' continuity correction of the chi-squared test for testing the homogeneity of two binomial proportions in $2{\times}2$ contingency tables is developed to lower the value of the test statistic slightly. The effect of continuity correction is expected to decrease as the sample size increases. However, in extremely unbalanced $2{\times}2$ contingency tables, we find some cases where the effect of continuity correction is eccentric and is larger than expected. In such cases, we conclude that the chi-squared test with continuity correction should not be employed as a test statistic in both asymptotic tests and exact tests.

고품질의 기온자료를 이용한 연.계절평균기온의 변화에 관한 연구 (Study for the Changes of Annual and Seasonal Mean Temperature Using Adjusted Temperature Data in the Republic of Korea)

  • 박창용;최영은
    • 대한지리학회지
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    • 제46권1호
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    • pp.20-35
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    • 2011
  • 본 연구에서는 기온자료의 품질검정, 기준시계열 생산, 동질성 검증 및 보정에 대한 체계적인 단계를 제시하고, 이러한 과정을 통해 생산된 연 계절평균기온을 이용하여 보다 정확한 기온변화 경향을 파악하고자 하였다. 품질검정에 의한 오류 자료는 모두 내적 불일치성 검사에 의해 탐지되었다 본 연구에서 사용한 동질성 검증 방법은 관측지점의 이전(relocation) 시그널을 비교적 잘 추출하여 우리나라 기온자료 동질성 검증에 적합한 방법으로 판단된다 연 및 계절별 평균기온의 보정 이후가 보정 이전 보다 증가 규모가 커졌다. 이러한 동질성 검증 및 보정으로 생산된 고품질의 기온자료는 보다 정확한 기후변화 특성 및 경향 연구에 도움이 될 것이다.