• Title/Summary/Keyword: statistical homogeneity

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A Study on the Macro-Scopic Spray Characteristic of Homogeneous Degree for the GDI Injector According to Mixture(Gasoline-Diesel) Ratio Using Mie-Scattering Method and the Entropy Analysis (Mie 산란 방법과 엔트로피 해석 방법을 이용한 혼합연료비에 따른 분무 균질도 특성에 관한 연구)

  • Lee, Chang-Hee;Lee, Ki-Hyung;Lee, Chang-Sik;;Bae, Jae-Il
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.1
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    • pp.69-75
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    • 2003
  • In this study, his technique was applied to a GDI spray in order to investigate the mixture distribution. In addition, the homogeneity degree and diffusion effect according to ambient temperature in the high pressure chamber were analyzed by using an entropy analysis method. From this experiment, we could find that entropy analysis is very effective method for the analysis of mixture formation, and the entropy values increase with the progress of uniformity in diffusion Process. we tried to provide the fundamental data for parameter which effects on the spray macroscopic characteristics with mixture ratio of diesel and gasoline. In addition, the mixture formation was analyzed by using entropy analysis. The entropy analysis is based on the concept of statistical entropy, and it identifies the degree of homogeneity in the fuel concentration. From the entropy analysis results we could find that the direct diffusion phenomena is a dominant factor in the formation of a homogeneous mixture at downstream of GDI spray especially in vaporizing conditions. As to increasing ambient temperature and increasing gasoline rate, the entropy intensity using the statistic thermodynamics method is increased because evaporation rate is higher gasoline than diesel.

The Regional Homogeneity in the Presence of Heteroskedasticity

  • Chung, Kyoun-Sup;Lee, Sang-Yup
    • Korean System Dynamics Review
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    • v.8 no.2
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    • pp.25-49
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    • 2007
  • An important assumption of the classical linear regression model is that the disturbances appearing in the population regression function are homoskedastic; that is, they all have the same variance. If we persist in using the usual testing procedures despite heteroskedasticity, what ever conclusions we draw or inferences we make be very misleading. The contribution of this paper will be to the concrete procedure of the proper estimation when the heteroskedasticity does exist in the data, because the quality of dependent variable predictions, i.e., the estimated variance of the dependent variable, can be improved by giving consideration to the issues of regional homogeneity and/or heteroskedasticity across the research area. With respect to estimation, specific attention should be paid to the selection of the appropriate strategy in terms of the auxiliary regression model. The paper shows that by testing for heteroskedasticity, and by using robust methods in the presence of with and without heteroskedasticity, more efficient statistical inferences are provided.

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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
    • The Korean Journal of Applied Statistics
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    • v.23 no.4
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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.

A Correlation Research of Appetite and Dining Habits According to Sasang Constitution (식욕, 식사습관에 관한 체질별 상관성 연구)

  • 백태호;박성식
    • The Journal of Korean Medicine
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    • v.25 no.2
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    • pp.77-86
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    • 2004
  • Objectives: To study the features of appetite and dining habit according to Sasang constitution. The results of this study will be helpful to diagnose a Sasang constitution. Methods: There were 588 patients (248 men, 340 women) who answered questionnaire and were diagnosed by the Sasang Constitution Specialist at the Constitutional Clinic of Dongguk Bundang Oriental Hospital. Using the responses to the questionnaire and several statistical techniques such as homogeneity test and multiple comparison, we tried to find the characteristics of each constitution depending on its dining behavior. Results & Conclusions: As a result of the analysis of the questionnaire, Taeumin and Soyangin have a heavy appetite (p<0.01), but the appetite of Soyangin and Soeumin tends to be irregular (p<0.01). Especially, the appetite of Soeumin tends to change according to his feelings (p<0.0I). Taeumin and Soyangin eat more and faster in comparison with Soeumin (p<0.01).

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An Investigation on the Spray Homogeneous Characteristics of a GDI Spray for Entropy Analysis Method using Laser Scattering Images (레이저 산란 영상을 이용한 GDI 인젝터의 엔트로피 해석법에 의한 분무 균일도 특성에 관한 연구)

  • 우영완;이창희;이기형;이창식
    • Transactions of the Korean Society of Automotive Engineers
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    • v.10 no.6
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    • pp.44-50
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    • 2002
  • The spray characteristics of GDI(Gasoline Direct Injection) injector affects on engine efficiency and emission of a GDI engine. Thus, many researchers have investigated the spray characteristics and the mixture formation of GDI injector. In this study, it was tried to provide the fundamental data for GDl injector design which effects on the spray macroscopic characteristics such as penetration and spray angle. In addition, the mixture formation analyzed by using entropy analysis. The entropy analysis is based on the concept of statistical entropy, and it identifies the degree of homogeneity in the fuel concentration. The results show that as injection pressure increases but as ambient pressure increases, spray penetration decreases and spray angle doesn't affected by increasing injection pressure and ambient temperature. From the entropy analysis results, we could find that the direct diffusion phenomena is a dominant factor in the formation of a homogeneous mixture at downstream of GDI spray especially in vaporizing conditions.

Statistical treatment of the effective modulus of woven composites (평직복합재료 등가물성치의 통계학적 분포 특성)

  • 우경식;서영욱
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.04a
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    • pp.59-62
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    • 2000
  • In this study, the distribution of the effective modulus was investigated statistically Plain weave structures were modeled with random stacking phase shift angles and the effective modulus was calculated by the unit cell analysis. The analysis results indicated that the effect of random phase shift angles was significant on the modulus distribution. As the number of layers increased, the coefficient of variation decreased and higher degree of homogeneity was attained.

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On Tests for Marginal Homogeneity (주변동질성 검정법의 비교분석)

  • 강민희;박태성;이성곤
    • The Korean Journal of Applied Statistics
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    • v.14 no.1
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    • pp.211-221
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    • 2001
  • 본 논문에서는 2$\times$2 분할표의 주변동질성 검정에서 사용될 수 있는 통계량들을 소개하고, 이 통계량들을 비교하였다. 먼저 주변동질성 검정에 민감하게 영향을 주는 모수를 정의한 후에 이 모수들의 효과를 예시하였다. 또한 이 모수들을 이용하여 모의실험을 통해여러 검정법들을 비교해본 결과 McNemar 검정이 다른 검정력보다 더 좋은 성질을 가지고 있음을 보였다.

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Homogeneity Test of Random Coefficient for the First Order Nonlinear Time Series Panel Data (일차 비선형 시계열 패널자료의 확률계수 동질성 검정)

  • 김인규;황선영;이성덕
    • The Korean Journal of Applied Statistics
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    • v.13 no.1
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    • pp.97-104
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    • 2000
  • 본 논문은 m개의 독립적인 일차 비선형 시계열로 구성된 패널자료의 동질성 검정에 대한 연구로서 먼저 일반적인 일차 비선형 시계열의 정상성 조건을 유도하고 이어서 동질성 검정법을 제시하고 연관된 극한분포를 규명하였다. 또한 모의실험을 하여 제안된 검정법의 모의검정력을 구하였다.

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EVAPORATION DATA STOCHASTIC GENERATION FOR KING FAHAD DAM LAKE IN BISHAH, SAUDI ARABIA

  • Abdulmohsen A. Al-Shaikh
    • Water Engineering Research
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    • v.2 no.4
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    • pp.209-218
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    • 2001
  • Generation of evaporation data generally assists in planning, operation, and management of reservoirs and other water works. Annual and monthly evaporation series were generated for King Fahad Dam Lake in Bishah, Saudi Arabia. Data was gathered for period of 22 years. Tests of homogeneity and normality were conducted and results showed that data was homogeneous and normally distributed. For generating annual series, an Autoregressive first order model AR(1) was used and for monthly evaporation series method of fragments was used. Fifty replicates for annual series, and fifty replicates for each month series, each with 22 values length, were generated. Performance of the models was evaluated by comparing the statistical parameters of the generated series with those of the historical data. Annual and monthly models were found to be satisfactory in preserving the statistical parameters of the historical series. About 89% of the tested values of the considered parameters were within the assigned confidence limits

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A Test for Equality Form of Covariance Matrices of Multivariate Normal Populations

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
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    • v.20 no.2
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    • pp.191-201
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    • 1991
  • Given a set of data pxN$_{i}$, matrices X$_{i}$ observed from p-variate normal populations $\prod$$_{i}$~N($\mu$$_{I}$, $\Sigma$$_{i}$) for i=1, …, K, the test for equality form of the covariance matrices is to choose a hypothetical model which best explains the homogeneity/heterogeneity structure across the covariance matrices among the hypothesized class of models. This paper describes a test procedure for selecting the best model. The procedure is based on a synthesis of Bayesian and a cross-validation or sample reuse methodology that makes use of a one-at-a-time schema of observational omissions. Advantages of the test are argued on two grounds, and illustrative examples and simulation results are given.are given.

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