• 제목/요약/키워드: empirical test

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A View on the Validity of Central Limit Theorem: An Empirical Study Using Random Samples from Uniform Distribution

  • Lee, Chanmi;Kim, Seungah;Jeong, Jaesik
    • Communications for Statistical Applications and Methods
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    • 제21권6호
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    • pp.539-559
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    • 2014
  • We derive the exact distribution of summation for random samples from uniform distribution and then compare the exact distribution with the approximated normal distribution obtained by the central limit theorem. To check the similarity between two distributions, we consider five existing normality tests based on the difference between the target normal distribution and empirical distribution: Anderson-Darling test, Kolmogorov-Smirnov test, Cramer-von Mises test, Shapiro-Wilk test and Shaprio-Francia test. For the purpose of comparison, those normality tests are applied to the simulated data. It can sometimes be difficult to derive an exact distribution. Thus, we try two different transformations to find out which transform is easier to get the exact distribution in terms of calculation complexity. We compare two transformations and comment on the advantages and disadvantages for each transformation.

Improved Statistical Testing of Two-class Microarrays with a Robust Statistical Approach

  • Oh, Hee-Seok;Jang, Dong-Ik;Oh, Seung-Yoon;Kim, Hee-Bal
    • Interdisciplinary Bio Central
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    • 제2권2호
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    • pp.4.1-4.6
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    • 2010
  • The most common type of microarray experiment has a simple design using microarray data obtained from two different groups or conditions. A typical method to identify differentially expressed genes (DEGs) between two conditions is the conventional Student's t-test. The t-test is based on the simple estimation of the population variance for a gene using the sample variance of its expression levels. Although empirical Bayes approach improves on the t-statistic by not giving a high rank to genes only because they have a small sample variance, the basic assumption for this is same as the ordinary t-test which is the equality of variances across experimental groups. The t-test and empirical Bayes approach suffer from low statistical power because of the assumption of normal and unimodal distributions for the microarray data analysis. We propose a method to address these problems that is robust to outliers or skewed data, while maintaining the advantages of the classical t-test or modified t-statistics. The resulting data transformation to fit the normality assumption increases the statistical power for identifying DEGs using these statistics.

LB-DECK를 이용한 철근콘크리트바닥판의 펀칭전단강도 (Punching Shear Strength of Reinforced Concrete Bridge Decks with LB-DECK)

  • 윤석구;이재홍;조선규;정재동;원용석
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2006년도 춘계학술발표회 논문집(I)
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    • pp.390-393
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    • 2006
  • LB-DECK is used for both of permanent formwork and structural component with cast-in place concrete of concrete bridge decks. Current Korean design code recommends that concrete bridge deck with precast concrete panels have to be designed only using conventional flexural design method and does not allow the empirical design method which is based on punching shear strength of bridge deck. This paper present experimental test results of punching shear strength of concrete bridge decks with LB-DECKs. Six full-scaled concrete bridge decks, which are designed with the empirical design method, are fabricated with variation of girder spacings. Test results are presented in the paper and compared with the code predictions of ACI 318, CEB-FIP MC90. Based on the test results, it is proposed that LB-DECK is suitable to apply the empirical design method for concrete bridge decks.

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R&D 투자와 소유구조 (R&D Investments and Ownership Structure)

  • 조신;윤충한
    • 기술혁신학회지
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    • 제8권3호
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    • pp.1199-1224
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    • 2005
  • This study analyzes various factors affecting a firm's investments, focusing on both a firm's ownership structure and CEO's incentives. While previous empirical works focus on various financial data in order to test the Schumpeterian Hypotheses, this paper is using various ownership structure data as well as financial data. Empirical results show that the greater a firm's CEO has the company's own stock, the less he spends in R&D investments. The main empirical results of this study is in line with past empirical studies on various markets outside of Korea.

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전산해석 및 풍동시험을 이용한 유도형 활공탄약의 공력해석 (Analysis of Aerodynamic Characteristics for Guided Gliding Type Ammunition Using Computational Analysis and Wind Tunnel Test)

  • 방재원
    • 한국시뮬레이션학회논문지
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    • 제28권1호
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    • pp.49-56
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    • 2019
  • 전산해석과 풍동시험을 이용하여 유도형 활공탄약의 공력특성을 연구하였다. 전산해석으로는 반실험적 기법인 Missile DATCOM과 전산유체역학 해석프로그램인 FLUENT를 사용하였다. 유도형 활공탄약에 대해 양력 및 항력, 피칭모멘트 등을 계산하여 기본적인 공력특성을 확인하였으며 기존의 탄약과는 전혀 다른 공력특성을 갖는 것을 확인했다. 전산해석을 통해 얻은 결과는 풍동시험을 통해 얻은 결과와 대체적으로 유사했다. 반실험적 기법으로 얻은 결과 중 피칭모멘트 값은 풍동시험결과와 약간 차이가 났지만, 전체적으로 전산해석의 결과는 시험결과와 유사한 경향과 값을 나타냈다. 본 연구를 통해 유도형 활공탄약의 공력특성을 확인하였으며, 유도형 활공탄약 초기설계 시 공력특성 분석을 위해 반실험적기법 및 전산유체역학적 해석 기법을 적용할 수 있음을 확인하였다.

SMOTE를 이용한 편중된 횡 분산계수 데이터에 대한 추정식 개발 (Development of empirical formula for imbalanced transverse dispersion coefficient data set using SMOTE)

  • 이선미;윤태원;박인환
    • 한국수자원학회논문집
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    • 제54권12호
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    • pp.1305-1316
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    • 2021
  • 본 연구에서는 과거 추적자실험결과를 이용하여 2차원 횡분산계수에 대한 새로운 추정식을 개발하고 추정식을 이용한 횡 분산계수 산정결과의 정확도를 검증했다. 다수의 추적자실험이 하폭 대 수심비가 50보다 작은 조건에서 수행되었기 때문에 기존 추적자실험결과만을 이용하여 개발한 추정식은 하폭 대 수심비가 50보다 큰 조건의 하천에 적용하는데 한계를 보인다. 따라서 특정 수리조건에 편중된 횡 분산계수 자료로부터 횡 분산계수 추정식을 개발하기 위해 SMOTE (Synthetic Minority Oversampling TEchnique)를 적용하여 기존 자료의 특성을 반영한 새로운 데이터를 생성했다. SMOTE 기법으로 하폭 대 수심비가 50보다 큰 조건에 대한 수리량과 횡 분산계수 데이터를 생성하였으며, ROC (Receiver Operating Characteristic) 곡선으로부터 생성된 데이터의 신뢰성을 검증했다. 새롭게 생성된 데이터를 포함하여 횡 분산계수 추정식을 개발했고, 추정식을 이용하여 계산한 횡 분산계수의 R2(결정계수)를 계산하여 기존 연구에서 제안한 추정식과의 정확도를 비교했다. 그 결과, 본 연구에서 개발한 추정식을 이용하여 계산한 횡 분산계수의 R2가 W/H < 50인 조건에서 0.81, 50 < W/H 인 조건에서 0.92를 나타내어 기존 추정식과 비교하여 향상된 정확도를 나타냈다.

압축지수의 추정을 위한 인공신경망 적용과 경험식 제안 (Proposition Empirical Equations and Application of Artificial Neural Network to the Estimation of Compression Index)

  • 김병탁;김영수;배상근
    • 한국지반공학회논문집
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    • 제17권6호
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    • pp.25-36
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    • 2001
  • 본 연구목적은 압축지수에 대한 기본 물성들의 영향을 검토하고 국내 점토에 대한 새로운 압축지수 경험식을 제안하고 오류 역전파 신경망 알고리즘의 적용성을 검증함에 있다. 11개 지구의 점토에 대한 실내시험결과에서 얻어진 압축지수 값은 최소 0.01에서 최대 3.06 정도의 범위로 나타났다. 기존 제안된 경험식에 의한 압축지수의 추정값과 시험결과를 비교한 결과, 단일 지반변수를 이용하는 경험식의 결과들은 과소평가될 가능성이 크게 나타났으며 복합 지반변수를 이용하는 경험식의 결과는 단일 지반변수의 경우보다 추정의 정확성이 높으나 시험결과와의 표준오차가 최소 0.05로서 다소 크게 나타나고 있다. 이에 본 연구에서는 시험결과에 근거한 압축지수에 대하여 회귀분석으로 단일 및 복합 지반변수를 이용하는 경험식을 제안하였으며 이들의 결정계수는 최소 0.89 이상으로 결정되었다. 본 연구에서 사용한 인공 신경망 구조에서 시험결과와 신경망 결과의 상관계수 및 표준오차는 각각 0.925 이상과 0.0196 이하로 나타나 높은 상관성을 나타내었다. 특히, 인공 신경망에 의한 예측결과는 압축지수에 대한 영향인자들 중에서 자연 함수비, 건조단위중량 그리고 현장 간극비의 3개 변수만으로도 압축지수를 예측할 수 있었으며, 상관계수는 0.974로 나타났다. 따라서, 인공 신경망이 이용된다면 간편한 현장실험에서 얻어진 변수들에 의하여 압축지수를 예측 할 수 있는 가능성을 입증하였다.

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경험적 방법에 의한 트랙터의 견인력 예측에 관한 연구 (A Study on Traction Prediction of Agricultural Tractor by Empirical Method)

  • 이동훈;이규승;박원엽
    • Journal of Biosystems Engineering
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    • 제34권5호
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    • pp.297-304
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    • 2009
  • This study was conducted to investigate the adequacy of the representative empirical models which are developed for predicting the tractive performance of the tractor operating in various soil conditions. Four representative empirical models which are widely used in the traction prediction of tractor were selected through literature review. Four models were Wismer-Luth, Brixius, Dwyer and Hernandez model, which were empirical traction models of a single wheel. The efficacy of four models were confirmed via comparison of the tractions of tractor predicted using the four models with those measured from traction tests which were conducted for two different driving type (2WD and 4WD) of the tractor on two different soil conditions. The results showed that tractions predicted by Brixius' model, especially for slip range under 20% which the operating efficiency of a tractor is very high, were well consistent with the ones measured from traction test better than the tractions predicted by models which are proposed by Wismer-Luth, Dwyer and Hernandez.

On the comparison of cumulative hazard functions

  • Park, Sangun;Ha, Seung Ah
    • Communications for Statistical Applications and Methods
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    • 제26권6호
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    • pp.623-633
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    • 2019
  • This paper proposes two distance measures between two cumulative hazard functions that can be obtained by comparing their difference and ratio, respectively. Then we estimate the measures and present goodness of t test statistics. Since the proposed test statistics are expressed in terms of the cumulative hazard functions, we can easily give more weights on earlier (or later) departures in cumulative hazards if we like to place an emphasis on earlier (or later) departures. We also show that these test statistics present comparable performances with other well-known test statistics based on the empirical distribution function for an exponential null distribution. The proposed test statistic is an omnibus test which is applicable to other lots of distributions than an exponential distribution.

CPTu로부터 구한 시화지구 해성점토의 비배수 전단강도 (Undrained Shear Strength of Marine Clays of Shihwa Region Obtained from CPTu)

  • 장인성;김범상
    • Ocean and Polar Research
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    • 제25권spc3호
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    • pp.353-360
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    • 2003
  • Estimation of undrained shear strength $(S_u)$ of clayey soils from piezocone penetration test (CPTu), which has widely been known as one of very promising in situ test methods, requires piezocone factors. Empirical correlations are generally utilized to derive piezocone factors, but previous studies on the empirical piezocone factors are site-specific and in some cases need engineering characteristics, which should be obtained from additional laboratory tests. In this study, empirical cone factors were evaluated by comparing 6 CPTu results at Shihwa region in Korea with reference $S_u$ values obtained from field vane test (FVT). From previous CPTu results of other regions in Korea as well as the results herein, the correlations between piezocone factor, $N_{kT}$ and CPTu results were investigated and three simplified evaluation methods of $S_u$ using only CPTu results were presented. The $S_u$ values estimated by $(q_T-{\sigma}_v)/{\sigma}'_v$ method shows better matches with those obtained from laboratory tests for marine clays at Shihwa region.