• 제목/요약/키워드: 정규성검정

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Statistical Issues in the Articles Published in the Journal of Veterinary Clinics (한국임상수의학회지에 발표된 논문의 통계분석 검토)

  • Pak, Son-Il;Oh, Tae-Ho
    • Journal of Veterinary Clinics
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    • v.27 no.2
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    • pp.170-174
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    • 2010
  • With the ease availability of statistical software and powerful computers the application of statistical methods in domestic veterinary journals is on the increase. In parallel with this benefit, statistical errors are not uncommon even in renowned scientific and medical journals. These errors may lead to misinterpretation of the data, thereby, subjected to faulty conclusions. A systematic review of articles published in 8 issues of the Journal of Veterinary Clinics during 2006-2007 was performed to assess the statistical methodology and reporting. Ninety-four (72.9%) articles of the 129 original articles screened included any inferential statistical analysis in the article, including comparison of 3 or more groups (53 or 56.4%), comparison of independent 2 groups (40 or 42.6%), and paired t-test (9 or 9.6%) in order. Of the 94 articles in which statistical analysis was done 62 (or 66.0%) had at least 1 statistical error. Errors included failure to apply or incorrectly applying independent Student's t-test for paired data or vice versa, inappropriate use of t-test for more than 3 groups and failure in chi-square test to consider continuity-correction for small expected frequencies. The common errors in ANOVA were failure to validate assumption of the test, inappropriate post-hoc multiple-comparison and incorrect assumption of independence of data in repeated measures design. Reporting errors included failure to state statistical methods and failure to state specific test if more than 1 test was done. It is suggested that an editorial effort would be necessary to achieve the improvement of appropriate statistical procedures through the publication of statistical guidelines to author(s).

Determination of Sample Sizes of Bivariate Efficacy and Safety Outcomes (이변량 효능과 안전성 이항변수의 표본수 결정방법)

  • Lee, Hyun-Hak;Song, Hae-Hiang
    • The Korean Journal of Applied Statistics
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    • v.22 no.2
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    • pp.341-353
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    • 2009
  • We consider sample-size determination problem motivated by comparative clinical trials where patient outcomes are characterized by a bivariate outcome of efficacy and safety. Thall and Cheng (1999) presented a sample size methodology for the case of bivariate binary outcomes. We propose a bivariate Wilcoxon-Mann-Whitney(WMW) statistics for sample-size determination for binary outcomes, and this nonparametric method can be equally used to determine sample sizes of ordinal outcomes. The two methods of sample size determination rely on the same testing strategy for the target parameters but differs in the test statistics, an asymptotic bivariate normal statistic of the transformed proportions in Thall and Cheng (1999) and nonparametric bivariate WMW statistic in the other method. Sample sizes are calculated for the two experimental oncology trials, described in Thall and Cheng (1999), and for the first trial example the sample sizes of a bivariate WMW statistic are smaller than those of Thall and Cheng (1999), while for the second trial example the reverse is true.

Feasibility on Differentiation of Resistance of Rice Varieties to Whitebacked Planthopper (Sogatella furcifera) using Radioisotope (방사성동위원소를 이용한 흰등멸구(Sogatella furcifera)의 저항성 검정법에 관한 연구 (2))

  • Chung K.H.;Choi S.Y.
    • Korean journal of applied entomology
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    • v.22 no.1 s.54
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    • pp.41-44
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    • 1983
  • In order to evaluate the technique of P-32 labelling method for screening lines of rice to whitebacked planthopper, the relationship between the amount of ingestion and feeding preference of insects were observed with the resistant and susceptible lines where characteristics were predetermined by comparing their feeding preference and antibiosis method. The feeding preference of the insects was significantly correlated with the amount of P-32 ingestion. It was more manifest in adults than nymphs of the whitebacked planthopper. The density of nymph and radioactivity of P-32 were high in the susceptible line. This suggested that deforming the ingestion amount of P-32 in the insects seemed to be useful technique for accurate screening. For this technique, the uniform labelling of P-32 on the rice seedings was prerequisite and the uniformity was increased by triming roots and leaves in the length and number.

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Estimating design floods for ungauged basins in the geum-river basin through regional flood frequency analysis using L-moments method (L-모멘트법을 이용한 지역홍수빈도분석을 통한 금강유역 미계측 유역의 설계홍수량 산정)

  • Lee, Jin-Young;Park, Dong-Hyeok;Shin, Ji-Yae;Kim, Tae-Woong
    • Journal of Korea Water Resources Association
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    • v.49 no.8
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    • pp.645-656
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    • 2016
  • The study performed a regional flood frequency analysis and proposed a regression equation to estimate design floods corresponding to return periods for ungauged basins in Geum-river basin. Five preliminary tests were employed to investigate hydrological independence and homogeneity of streamflow data, i.e. the lag-one autocorrelation test, time homogeneity test, Grubbs-Beck outlier test, discordancy measure test ($D_i$), and regional homogeneity measure (H). The test results showed that streamflow data were time-independent, discordant and homogeneous within the basin. Using five probability distributions (generalized extreme value (GEV), three-parameter log-normal (LN-III), Pearson type 3 (P-III), generalized logistic (GLO), generalized Pareto (GPA)), comparative regional flood frequency analyses were carried out for the region. Based on the L-moment ratio diagram, average weighted distance (AWD) and goodness-of-fit statistics ($Z^{DIST}$), the GLO distribution was selected as the best fit model for Geum-river basin. Using the GLO, a regression equation was developed for estimating regional design floods, and validated by comparing the estimated and observed streamflows at the Ganggyeong station.

The Establishment of a High Resolution(1Km×1Km) Wind Energy Map Based on a Statistical Wind Field Model (통계적 바람장모형에의한 고해상도(1Km×1Km)풍력에너지지도 작성에 관한 연구)

  • Kim, Hea-Jung;Kim, Hyun-Sik;Choi, Young-Jean;Byon, Jae-Young
    • The Korean Journal of Applied Statistics
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    • v.23 no.6
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    • pp.1157-1167
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    • 2010
  • This paper details a method for establishing a wind energy map having($1Km{\times}1Km$) resolution. The map is essential for measurement and efficiency-testing of wind energy resources and wind site analysis. To this end, a statistical wind field model is estimated that covers 345,682 regions obtained by $1Km{\times}1Km$ lattices made over South Korea. The paper derives various characteristics of a regional wind energy resource under the statistical wind field model and estimates them to construct the wind energy map. Kolmogorov-Smirnov test, based on TMY(typical meteorological year) wind data of 76 weather station areas, shows that a Log-normal model is adequate for the statistical wind field model. The model is estimated by using the wind speed data of 345,682 regions provided by the National Institute of Meteorological Research(NIMR). Various wind energy statistics are studied under the Log-normal wind field model. As an application, the wind energy density(W$/m^2$) map of South Korea is constructed with a resolution of $1Km{\times}1Km$ and its utility for the wind site analysis is discussed.

Statistical Inference for Process Capability Indices and 6 Sigma Qualify Levels (공정능력지수들과 6 시그마 품질수준에 대한 통계적 추론)

  • Cho, Joong-Jae;Sim, Kyu-Young;Park, Byoung-Sun
    • Communications for Statistical Applications and Methods
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    • v.15 no.3
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    • pp.451-464
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    • 2008
  • Six sigma is the rating that signifies "best in clas", with only 3.4 defects per million units or operations. Higher sigma quality level is generally perceived by customers as improved performance by assigning a correspondingly higher satisfaction score. The process capability indices and the sigma level $Z_{st}$ have been widely used in six sigma industries to assess process performance. Most evaluations on process capability indices focus on point estimates, which may result in unreliable assessments of process performance. In this paper, we consider statistical inference for process capability indices $C_p$, $C_{pk}$ and $C_{pm}$. Also, we study better testing procedure on assessing sigma level $Z_{st}$ and capability index $C_{pm}$, for practitioners to use in determining whether a given process is capable. The proposed method is easy to use and the decision making is more reliable. Whether a process is clearly normal or nonnormal, our bootstrap testing procedure could be applied effectively without the complexity of calculation. A numerical result based on our proposed method is illustrated.

An Approach for the Estimation of Mixture Distribution Parameters Using EM Algorithm (복합확률분포의 파라메타 추정을 위한 EM 알고리즘의 적용 연구)

  • Daeyoung Shim;SangGu Kim
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.22 no.4
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    • pp.35-47
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    • 2023
  • Various single probability distributions have been used to represent time headway distributions. However, it has often been difficult to explain the time headway distribution as a single probability distribution on site. This study used the EM algorithm, which is one of the maximum likelihood estimations, for the parameters of combined mixture distributions with a certain relationship between two normal distributions for the time headway of vehicles. The time headway distribution of vehicle arrival is difficult to represent well with previously known single probability distributions. But as a result of this analysis, it can be represented by estimating the parameters of the mixture probability distribution using the EM algorithm. The result of a goodness-of-fit test was statistically significant at a significance level of 1%, which proves the reliability of parameter estimation of the mixture probability distribution using the EM algorithm.

Nonparametric Estimation of Wage Equation and Return to Seniority (임금함수와 근속급의 비모수적 추정)

  • Jang, Insong
    • Journal of Labour Economics
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    • v.36 no.2
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    • pp.37-65
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    • 2013
  • This study compares the return to seniority and experience among different groups of workers. Skilled workers in large company appear to enjoy the biggest seniority premium, while non-regular workers and small company workers hardly have any. Trade union did not have significant effect. Return to experience increased especially in large firms. Nonparametric model specification test shows that the biases for returns to seniority and experience of 30 years to be between -25~29%, and -42%~6%, respectively.

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Normality Tests Using Nonparametric Rank Measures for Small Sample (소표본인 경우 비모수 순위척도를 이용한 정규성 검정)

  • Lee, Chang-Ho;Choi, Sung-Woon
    • Journal of the Korea Safety Management & Science
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    • v.10 no.3
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    • pp.237-243
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    • 2008
  • The present study proposes two normality tests using nonparametric rank measures for small sample such as modified normal probability paper(NPP) tests and modified Ryan-Joiner Test. This research also reviews various normality tests such as $X^2$ test, and Kullback-Leibler test. The proposed normality tests can be efficiently applied to the sparsity tests of factor effect or contrast using saturated design in $k^n$ factorial and fractional factorial design.

Development of the Mathematics Teaching Efficacy Beliefs Instrument Korean Version for Elementary Preservice Teachers (초등 예비 수학 교사를 대상으로 하는 MTEBI 한글판 개발)

  • Ryang, Dohyoung
    • The Mathematical Education
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    • v.52 no.3
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    • pp.363-377
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    • 2013
  • 교수효능감은 교사가 교실에서 얼마나 효율적으로 가르칠 것인지를 예측하는 매우 강력한 구인이다. MTEBI는 초등 예비교사를 대상으로 수학 교수 효능감을 재는 유효한 척도이다. 그러나 MTEBI는 미국에서 개발되어 다른 문화에서 바로 사용할 수는 없다. 본 연구는 MTEBI가 한국에서 유효한 지에 대한 실증적 조사이다. 먼저, 영문의 MTEBI를 국문으로 번역하고, 번역한 것을 다수의 수학교사 교육자가 철저하게 검토하였다. 그다음, 506명의 예비 초등교사 표본에서 정규성, 신뢰도, 타당도 등의 통계적 검정을 실시하였다. 그 결과, 한글판 MTEBI의 하위척도인 PMTE와 MTOE의 알파계수가 각각 .836과 .705이었다. 이로써 한글판 MTEBI가 한국에서 효능감 연구에 사용할 수 있을 만큼 믿을 수 있고 문항 구성이 타당함을 입증하였다. 나아가 본 연구에서 제시된 영문판을 바탕으로 한국과 교육에 대한 전통과 문화가 비슷한 이웃 문화에서도 효능감 연구가 일어나기를 기대한다.