• Title/Summary/Keyword: empirical test

Search Result 2,725, Processing Time 0.035 seconds

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
    • /
    • v.21 no.6
    • /
    • pp.539-559
    • /
    • 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
    • /
    • v.2 no.2
    • /
    • pp.4.1-4.6
    • /
    • 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.

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

  • Youn, Seok-Goo;Lee, Jae-Hong;Cho, Sun-Kyu;Jeong, Jae-Dong;Won, Yong-Suk
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 2006.05a
    • /
    • pp.390-393
    • /
    • 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.

  • PDF

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

  • Cho Shin;Yoon Choong-Han
    • Journal of Korea Technology Innovation Society
    • /
    • v.8 no.3
    • /
    • pp.1199-1224
    • /
    • 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.

  • PDF

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

  • Bang, Jae Won
    • Journal of the Korea Society for Simulation
    • /
    • v.28 no.1
    • /
    • pp.49-56
    • /
    • 2019
  • In this study aerodynamic characteristics of guided gliding type ammunition were investigated by using a computational analysis and wind tunnel test. Missile DATCOM, a semi-empirical method, and a FLUENT, a computational fluid dynamics analysis program, were used for computational analysis. For a guided gliding type ammunition, aerodynamic characteristics were investigated by calculating lift force, drag force, pitching moment and etc. Aerodynamic characteristics of guided gliding type ammunition are completely different from those of conventional ammunition. The results obtained from the computer analysis are similar to those obtained from the wind tunnel test. Although the pitch moment values obtained by the semi-empirical method were slightly different from the wind tunnel test results, the overall computer analysis results showed trends and values similar to the test results. In this study, aerodynamic characteristics of guided gliding type ammunition were identified and it found that semi-empirical method can be applied to analyze the aerodynamic characteristic in the initial design of guided gliding ammunition.

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

  • Lee, Sunmi;Yoon, Taewon;Park, Inhwan
    • Journal of Korea Water Resources Association
    • /
    • v.54 no.12
    • /
    • pp.1305-1316
    • /
    • 2021
  • In this study, a new empirical formula for 2D transverse dispersion coefficient was developed using the results of previous tracer test studies, and the performance of the formula was evaluated. Since many tracer test studies have been conducted under the conditions where the width-to-depth ratio is less than 50, the existing empirical formulas developed using these imbalanced tracer test results have limitations in applying to rivers with a width-to-depth ratio greater than 50. Therefore, in order to develop an empirical formula for transverse dispersion coefficient using the imbalanced tracer test data, the Synthetic Minority Oversampling TEchnique (SMOTE) was used to oversample new data representing the properties of the existing tracer test data. The hydraulic data and the transverse dispersion coefficients in conditions of width-to-depth ratio greater than 50 were oversampled using the SMOTE. The reliability of the oversampled data was evaluated using the ROC (Receiver Operating Characteristic) curve. The empirical formula of transverse dispersion coefficient was developed including the oversampled data, and the performance of the results were compared with the empirical formulas suggested in previous studies using R2. From the comparison results, the value of R2 was 0.81 for the range of W/H < 50 and 0.92 for 50 < W/H, which were improved accuracy compared to the previous studies.

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

  • 김병탁;김영수;배상근
    • Journal of the Korean Geotechnical Society
    • /
    • v.17 no.6
    • /
    • pp.25-36
    • /
    • 2001
  • The purpose of this paper is to discuss the effects of soil properties such as liquid limit, water content, etc. on the compression index and to propose the empirical equation of compression index far regional clay and to verify the application Back Propagation Neural Network(BPNN). The compression index values obtained from laboratory tests are in the range of 0.01 to 3.06 for clay soils sampled in eleven regions. As the compare with the results of laboratory test and the predicted compression index value from the proposed empirical equations, the results of empirical equations including single soil parameter have a possibility to be overestimated. Also, the results of empirical equations including multiple soil parameters closed to the measured value more than that of empirical equations including single soil parameter, but the standard error for measured value obtained larger than 0.05. For these reasons, the empirical equations including single or multiple soil parameters proposed base on the results of laboratory test and the determination coefficient is up to 0.89. The result of BPNN shows that correlation coefficient and standard error between test and neural network result is larger than 0.925 and smaller than 0.0196, which means high correlativity, respectively. Especially, the estimated result by neural network, using only three parameters such as natural water content, dry unit weight and in-situ void ratio among various factors is available to the estimation of compression index and the correlation coefficient is 0.974. This result verified the possibility that if BPNN use, the compression index can be predicted by the parameters, which obtained from simplex field test.

  • PDF

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

  • Lee, Dong-Hoon;Lee, Kyou-Seung;Park, Won-Yeop
    • Journal of Biosystems Engineering
    • /
    • v.34 no.5
    • /
    • pp.297-304
    • /
    • 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
    • /
    • v.26 no.6
    • /
    • pp.623-633
    • /
    • 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.

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

  • Jang, In-Sung;Kim, Bum-Sang
    • Ocean and Polar Research
    • /
    • v.25 no.spc3
    • /
    • pp.353-360
    • /
    • 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.