• Title/Summary/Keyword: Homogeneity tests

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Independence and Homogeneity Tests of the Annual Maxima Data used to Estimate the Design Wave Height (설계파고 추정에 사용한 연 최대 자료의 독립 및 분포 동질 검정)

  • Cho, Hong Yeon;Jeong, Weon Mu;Back, Jong Dai
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.32 no.1
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    • pp.26-38
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    • 2020
  • A statistical test was carried out on the IID (Independently and Identically Distributed) assumption of the AM (Annual Maxima) data used to estimate the design wave height. The test was divided into independence (randomness) test and homogeneity test, and each test was conducted on AM data of 210 and 310 stations in coastal and inner coastal grids in typhoon and non-typhoon (monsoon) conditions. As a result of the independence test, the rejection ratios of the test are in the range of 1.8~5.3% and 1.4~6.0% for the non-typhoon and typhoon data sets, respectively. On the other hand, in the distribution difference test of typhoon data and nontyphoon data, the same distribution hypothesis was found to be rejected in the range of 47~79% according to the test method for both coastal grid and inner coastal grid. Therefore, in estimating design wave height by extreme value analysis, the estimation process by dividing the typhoon and non-typhoon data is appropriate.

Determination of homogeneity index of cementitious composites produced with eps beads by image processing techniques

  • Comak, Bekir;Aykanat, Batuhan;Bideci, Ozlem Salli;Bideci, Alper
    • Computers and Concrete
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    • v.29 no.2
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    • pp.107-115
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    • 2022
  • With the improvements in computer technologies, utilization of image processing techniques has increased in many areas (such as medicine, defence industry, other industries etc.) Many different image processing techniques are used for surface analysis, detection of manufacturing defects, and determination of physical and mechanical characteristics of composite materials. In this study, cementitious composites were obtained by addition of Grounded Granulated Blast-Furnace Slag (GGBFS), Styrene Butadiene polymer (SBR), and Grounded Granulated Blast-Furnace Slag and Styrene Butadiene polymer together (GGBFS+SBR). Expanded Polystyrene (EPS) beads were added to these cementitious composites in different ratios (20%, 40% and 60%). The mechanical and physical characteristics of the composites were determined, and homogeneity indexes of the composites were determined by image processing techniques to determine EPS distribution forms in them. Physical and mechanical characteristics of the produced samples were obtained by applying consistency, density, water absorption, compressive strength (7 and 28 days), flexural strength (7 and 28 days) and tensile splitting strength (7 and 28 days) tests on them. Also, visual examination by using digital microscope, and image analysis by using image processing techniques with open source coded ImageJ program were performed. As a result of the study, it is determined that GGBFS and SBR addition strengthens the adhesion sites formed as it increases the adhesion power of the mixture and helps to get rid of the segregation problem caused by EPS. As a result of the image processing analysis it is demonstrated that GGBFS and SBR addition has positive contribution on homogeneity index.

Multi-scale calibration of a line-style sand pluviator

  • Yifan Yang;Dirk A. de Lange;Huan Wang;Amin Askarinejad
    • Geomechanics and Engineering
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    • v.37 no.5
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    • pp.431-441
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    • 2024
  • A newly developed line-style sand pluviator has been calibrated to prepare repeatable sand specimens of specific statuses of compactness and homogeneity for laboratory tests. Sand is falling via a bottom slot of a fixed hopper, and by moving the sample container under the slot, the container is evenly filled with sand. The pluviator is designed with high flexibility: The falling height of sand, the hopper's opening width and the relative moving speed between the hopper and the sample box can be easily adjusted. By changing these control factors, sand specimens of a wide range of densities can be prepared. A series of specimen preparation was performed using the coarse Merwede River sand. Performance of the pluviator was systematically evaluated by exploring the alteration of achievable density, as well as checking the homogeneity and fabric of the prepared samples by CT scanning. It was found that the density of prepared coarse sand samples has monotonic correlations with none of the three control factors. Furthermore, CT scanning results suggested that the prepared samples exhibited excellent homogeneity in the horizontal direction but periodical alteration of density in the vertical direction. Based on these calibration test results, a preliminary hypothesis is proposed to describe the general working principles of this type of pluviators a priori, illustrating the mechanisms dominating the non-monotonic correlations between control factors and the relative density as well as the vertically prevalent heterogeneity of specimens. Accordingly, practical recommendations are made in a unified framework in order to lessen the load of similar calibration work.

Derivation of Optimal Design Flood by L-Moments and LB-Moments ( I ) - On the method of L-Moments - (L-모멘트 및 LH-모멘트 기법에 의한 적정 설계홍수량의 유도( I ) - L-모멘트법을 중심으로 -)

  • 이순혁;박명근;맹승진;정연수;김동주;류경식
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.40 no.4
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    • pp.45-57
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    • 1998
  • This study was conducted to derive optimal design floods by Generalized Extreme Value (GEV) distribution for the annual maximum series at ten watersheds along Han, Nagdong, Geum, Yeongsan and Seomjin river systems. Adequacy for the analysis of flood data used in this study was established by the tests of Independence, Homogeneity, detection of Outliers. L-coefficient of variation, L-skewness and L-kurtosis were calculated by L-moment ratio respectively. Parameters were estimated by the Methods of Moments and L-Moments. Design floods obtained by Methods of Moments and L-Moments using different methods for plotting positions in GEV distribution were compared by the Relative Mean Errors(RME) and Relative Absolute Errors(RAE). The results were analyzed and summarized as follows. 1. Adequacy for the analysis of flood data was acknowledged by the tests of Independence, Homogeneity and detection of Outliers. 2. GEV distribution used in this study was found to be more suitable one than Pearson type 3 distribution by the goodness of fit test using Kolmogorov-Smirnov test and L-Moment ratios diagram in the applied watersheds. 3. Parameters for GEV distribution were estimated using Methods of Moments and L-Moments. 4. Design floods were calculated by Methods of Moments and L-Moments in GEV distribution. 5. It was found that design floods derived by the method of L-Moments using Weibull plotting position formula in GEV distribution are much closer to those of the observed data in comparison with those obtained by method of moments using different formulas for plotting positions from the viewpoint of Relative Mean Errors and Relative Absolute Errors.

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Effects of tongue strength training program combined with oral exercises on swallowing disorder, swallowing ability, and tongue pressure in the elderly (입체조를 병행한 혀 근력운동이 노인의 연하장애와 연하력 및 설압에 미치는 효과)

  • Nam-Suk Kim;Jung-Hwa Lee
    • Journal of Korean society of Dental Hygiene
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    • v.23 no.2
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    • pp.105-113
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    • 2023
  • Objectives: The purpose of this study is to verify the usefulness and practicality of the program in the daily life of the elderly by performing a three-dimensional tongue muscle exercise for the elderly to identify the dysphagia, swallowing ability, and tongue pressure. Methods: The subjects of the study were 29 elderly people aged 65 or older living in Busan, divided into a oral exercises group and tongue strength training program combined with oral exercises group, and operated 16 times for 8 weeks twice a week, and the pre and post-program evaluation was conducted in the 1st and 8th weeks. For variable selection, 7 general characteristics, 5 oral health-related characteristics, 5 Likert scale for swallowing disorder, repetitive swallowing ability test for swallowing power measurement, and tongue pressure measurement was used. Data analysis was conducted using SPSS window program 25.0 version (IBM), general characteristics and homogeneity tests, oral health-related characteristics and homogeneity tests were chi-square test, swallowing disorder, swallowing ability, and change in tongue pressure were paired t-test, Wilcoxon signed rank test, t-test, Mann-Whitney U test for swallowing disorder and changes in swallowing ability and tongue pressure, and Spearman's correlation for the relationship between swallowing disorder and swallowing ability and tongue pressure. Results: As a result of tongue strength training program combined with oral exercise, both relieve swallowing disorder and improve low eating and tongue pressure than oral exercise, and the difference in improvement effects of both relieve swallowing disorder, swallowing ability, and tongue pressure is higher. Conclusions: Based on the results of this study, it is believed that simple and practical oral muscle function reinforcement products and practical use are needed, and institutional devices to seek oral health promotion programs for the elderly are needed.

A comparison of tests for homoscedasticity using simulation and empirical data

  • Anastasios Katsileros;Nikolaos Antonetsis;Paschalis Mouzaidis;Eleni Tani;Penelope J. Bebeli;Alex Karagrigoriou
    • Communications for Statistical Applications and Methods
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    • v.31 no.1
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    • pp.1-35
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    • 2024
  • The assumption of homoscedasticity is one of the most crucial assumptions for many parametric tests used in the biological sciences. The aim of this paper is to compare the empirical probability of type I error and the power of ten parametric and two non-parametric tests for homoscedasticity with simulations under different types of distributions, number of groups, number of samples per group, variance ratio and significance levels, as well as through empirical data from an agricultural experiment. According to the findings of the simulation study, when there is no violation of the assumption of normality and the groups have equal variances and equal number of samples, the Bhandary-Dai, Cochran's C, Hartley's Fmax, Levene (trimmed mean) and Bartlett tests are considered robust. The Levene (absolute and square deviations) tests show a high probability of type I error in a small number of samples, which increases as the number of groups rises. When data groups display a nonnormal distribution, researchers should utilize the Levene (trimmed mean), O'Brien and Brown-Forsythe tests. On the other hand, if the assumption of normality is not violated but diagnostic plots indicate unequal variances between groups, researchers are advised to use the Bartlett, Z-variance, Bhandary-Dai and Levene (trimmed mean) tests. Assessing the tests being considered, the test that stands out as the most well-rounded choice is the Levene's test (trimmed mean), which provides satisfactory type I error control and relatively high power. According to the findings of the study and for the scenarios considered, the two non-parametric tests are not recommended. In conclusion, it is suggested to initially check for normality and consider the number of samples per group before choosing the most appropriate test for homoscedasticity.

Small sample tests for two-way contingency tables (2원 분할표의 소표본 검증법)

  • 허명회
    • The Korean Journal of Applied Statistics
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    • v.10 no.2
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    • pp.339-352
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    • 1997
  • Chi-square test based on large sample theory is inappropriate for testing the row homogeneity in two-way contingency table with several sparse cells. For that case, exact testing methods has been developed in the literature and implemented in StatXact(1991). However, considerable computing time is inevitable for moderate size tables. So, Monte Carlo approximation is recommended frequently. In this study, we propose a simple algorithm for generating two-way random tables with fixed row and column margins for small sample chi-square test. Also, we develop “Turkey-type” method for multiple between-row comparisons.

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A Derivation of Rainfall Intensity-Duration-Frequency Relationship for the Design of Urban Drainage System in Korea (우리나라 도시배수시스템 설계를 위한 확률강우강도식의 유도)

  • Lee, Jae-Jun;Lee, Jeong-Sik
    • Journal of Korea Water Resources Association
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    • v.32 no.4
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    • pp.403-415
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    • 1999
  • This study is to derive the rainfall intensity formula based on the representative probability distribution in Korea. The 11 probability distributions which has been widely used in hydrologic frequency analysis are applied to the annual maximum rainfall. The parameters of each probability distribution are estimated by method of moments, maximum likelihood method and method of probability weighted moments. Four tests such as $x^2$-test, Kolmogorv-Smirnov test, difference test and modified difference test are used to determine the goodness of fit of the distributions. The homogeneous tests (Mann-Whitney U test, Kruskal-Wallis one-way analysis of variance of nonparametric test) are applied to find the stations with rainfall homogeneity. The results of homogeneous tests show that there is no representative appropriate distribution for the whole duration in Korea. The whole region could be divided into five zones for 12-durations. The representative probability distribution of each divided zone for 12-durations was determined. The GEV distribution for I,II,V zones and the 3-parameter Weibull distribution for III,IV zones were determined as the representative probability distribution. The rainfall were obtained from representative probability distribution for the selected return periods. Rainfall intensity formula was determined by linearization technique for the rainfall.

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A Study for the Weldability and Welded Joint Performance on the SAW of HSA800 Steel (HSA800 강재의 SAW 용접성 및 이음성능 연구)

  • Choi, Young Han;Kim, Sang Seup
    • Journal of Korean Society of Steel Construction
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    • v.29 no.1
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    • pp.37-48
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    • 2017
  • In this research, 9 SAW welding specimens with 1 hour post-heat treatment (PH1) and 2 hours (PH2) were experimented to confirm the weldability and the joint performance of 60mm thickness HSA800 steel. SAW tests with PH1 & PH2, including weld impact test, bend test, hardness test, macroscopic test, and microscopic test, had a good test results. However, from the chemical composition test results, P composition was not satisfied with Korean Industrial Standards(KS). According to the weld-zone tensile tests, 2 hours post-heat SAW is recommended because the mechanical characteristics of SAW PH2 were better than those of SAW PH1.

Validity of TOEFL, TOEIC and TEPS as a measure of communicative competence (의사소통 능력 측정 도구로서의 공인 영어 표준화 시험 타당도)

  • Lee, Hyun-Oo;Lee, So-Young
    • English Language & Literature Teaching
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    • v.10 no.3
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    • pp.191-210
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    • 2004
  • The scores of TOEFL, TOEIC and TEPS have been increasingly used for many purposes in Korea In particular, these test scores are being used as a measure of the test-takers' overall communicative competence. Nonetheless, few studies have been conducted that investigate the validity of the test scores used for this purpose. As a preliminary step to explore the validity of the test scores, we conducted a small scale study by comparing 30 university students' scores in TOEFL, TOElC and TEPS with their class performances in English conversation and composition courses. The correlations between the test scores and the grade point averages of the courses show that the test scores are much harder to use as a valid measure of test-takers' overall communicative competence than usually thought to be and that the score in TOEFL is, nonetheless, a more reliable measure than the ones in the other tests. Although tins study has a few limitations such as the small number of participants, the homogeneity of the sample as a group, etc, it provides some insight into the use of the three tests for measurement of overall communicative proficiency and suggests need for conducting further validation studies in these areas.

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