• Title/Summary/Keyword: 평행성검정

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An asymptotically distribution-free test for parallelism of regression lines against umbrellar alternatives (회귀직선에서 우산형 대립가설에 대한 평행성의 점근 분포무관 검정법)

  • 김동희;임동훈
    • The Korean Journal of Applied Statistics
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    • v.8 no.1
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    • pp.105-117
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    • 1995
  • An asymptotically distribution-free procedure is proposed for paralleism of k regression lines against umbrella alternatives. Asymptotic properties are discussed, and comparative results relative to Kim and Lim(1994)'s tests show that our procedure is generally more powerful.

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Parallelism Test of Slope in Simple Linear Regression Models (회귀모형의 기울기에 대한 품행성 검정)

  • Park, Hyun-Wook;Kim, Dong-Jae
    • Communications for Statistical Applications and Methods
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    • v.16 no.1
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    • pp.75-83
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    • 2009
  • Parallelism tests are proposed for slope in the simple linear regression models. In this paper, we suggest the parametric test using HSD testing method (Tukey,1953) and distribution-free test using Kruskal-wallis (1952) for more than three slopes. Monte Carlo simulation study is adapted to compare the power of the proposed methods with Wilks' Lambda multivariate procedure.

Nonparametric tests of parallelism aginst umbrella alternatives of slopes in k-regression lines (k개의 회귀직선에서 기울기들의 우산형 대립가설에 대한 평행성의 비모수 검정법에 관한 연구)

  • 김동희;임동훈
    • The Korean Journal of Applied Statistics
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    • v.7 no.1
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    • pp.19-34
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    • 1994
  • In this paper we propose nonparametric tests of parallelism against umbrella alternatives of slopes in k-regression lines and investigate the asymptotic properties of the proposed test statistics. For the known peak and unknown peak, we suggest the test statistics and show that, from Monte Carlo study, the proposed test statistics have good empirical powers for heavy tailed distributions than the likelihood ratio tests.

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Parallelism Test of Slope in a Several Simple Linear Regression Model based on a Sequential Slope (여러개의 단순 선형 회귀모형에서 순차기울기를 이용한 평행성 검정)

  • Kim, Juhie;Kim, Dongjae
    • The Korean Journal of Applied Statistics
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    • v.26 no.6
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    • pp.1009-1018
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    • 2013
  • Regression analysis is useful to understand the relationship of variables; however, we need to test if the slope of each regression lines is the same when comparing several populations. This paper suggests a new parallelism test for several linear regression lines. We use F-test of ANOVA and Kruskal-Wallis (1952) tests after obtaining slope estimator from a sequential slope. In addition, a Monte Carlo simulation study is adapted to compare the power of the proposed methods with those of Park and Kim (2009).

A robust test for the parallelism of two regression lines (두 회귀직선의 평행성에 대한 로버스트 검정)

  • 남호수;송문섭;신봉섭
    • The Korean Journal of Applied Statistics
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    • v.8 no.2
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    • pp.77-86
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    • 1995
  • For the problem of testing the parallelism of two regression lines, a robust procedure is proposed and examined. The proposed test statistic is based on the one-step GM-estimators of slope parameters proposed by Song et al. (1994b). These GM-estimators used the Least Trimmed Squares estimates as an initial values so as to obtain high breakdown point. Through a small-sample Monte Carlo simulation the empirical levels and powers of the proposed test are compared with other tests under various error distributions.

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Trend Comparison of Repeated Measures Data between Two Groups (반복측정 자료에서 개체기울기를 이용한 집단간의 차이 검정법)

  • Hwang, Kum-Na;Kim, Dong-Jae
    • The Korean Journal of Applied Statistics
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    • v.19 no.3
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    • pp.565-578
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    • 2006
  • Repeated measurement data between two group is often used in the field of medicine study. In this paper, we suggest a method for comparison of the trend between two groups based on repeated measurement data. First, we estimate regression coefficient of linear regression model from each subject and generate samples using the regression coefficient estimated previous. And then, we test the difference between two groups by unpaired t-test, Wilcoxon rank sum test and placement test using generated samples. Monte Carlo Simulation is adapted to examine the power and experimental significance levels of several methods in various combinations.

A Study on Multivariate Tests in the Profile Analysis (프로파일 분석에서의 다변량 검정법 비교 연구)

  • 박진경;박태성
    • The Korean Journal of Applied Statistics
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    • v.12 no.1
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    • pp.97-107
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    • 1999
  • 프로파일 분석은 반복측정 자료를 분석하는데 있어서 널리 사용되는 다변량 분석모형이다. 프로파일 분석에서는 처리 그룹간의 비교와 반응 프로파일의 평행성 검정을 위해서 4가지 검정통계량이 널리 사용되고 있다. 이들 검정통계량은 Wilks의 통계량($\Lambda$), Pillai's Trace 통계량(V), Hotelling-Lawley Trace 통계량(U), Roy's Maximum Root 통계량($\Theta$ )이다. 그 동안 이들 통계량들을 비교하기 위한 여러 연구가 있었지만 주로 일반적인 다변량 분산분석 모형에 근거한 비교였다. 본 논문에서는 자료가 반복측정 자료이고 우리의 관심이 프로파일 분석에 있을 때에 이 4가지 통계량의 비교에 초점을 맞추었다.

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A Nonparametric Test for the Parallelism of Regression Lines Based on Kendall's Tau (Kendall의 Tau에 의한 회귀직선의 평행성에 관한 비모수 검정)

  • Song, Moon-Sup
    • Journal of the Korean Statistical Society
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    • v.7 no.1
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    • pp.17-26
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    • 1978
  • For testing $\beta_i=\beta, i=1,...,k$, in the regression model $Y_{ij} = \alpha_i + \beta_ix_{ij} + e_{ij}, j=1,...,n_i$, a simple and robust test based on Kendall's tau is proposed. Its asymptotic distribution is proved to be chi-square under the null hypthesis and noncentral chi-square under an appropriate sequence of alternatives. For the optimal designs, the asymptotic relative efficiency of the proposed procedure with respect to the least squares procedure is the same as that of the Wilcoxon test with respect to the t-test.

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Comparison of Lens Dose in accordance with Bismuth shielding and Patient position in Brain perfusion CT (Brain Perfusion CT에서 Bismuth 차폐와 환자의 자세 변화에 따른 수정체 선량 비교 연구)

  • Gang, Eun Bo
    • Journal of the Korean Society of Radiology
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    • v.12 no.1
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    • pp.47-52
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    • 2018
  • Brain perfusion CT scanning is often employed usefully in clinical conditions as it accurately and promptly provides information about the perfusion state of patients having acute ischemic stroke with a lot of time constraints and allows them to receive proper treatment. Despite those strengths of it, it also has a serious weakness that Lens may be exposed to a lot of dose of radiation in it. In this study, as a way to reduce the dose of radiation to Lens in brain perfusion CT scanning, this researcher conducted an experiment with Bismuth shielding and change of patients' position. TLD (TLD-100) was placed on both lens using the phantom (PBU-50), and then, in total 4 positions, parallel to IOML, parallel to IOML (Bismuth shielding), parallel to SOML, and parallel to SOML (Bismuth shielding), brain perfusion scanning was done 5 times for each position, and dose to Lens were measured. Also, to examine how the picture quality changed in different positions, 4 areas of interest were designated in 4 spots, and then, CT number and noise changes were measured and compared. According to the results of conducting one-way ANOVA on the doses measured, as the significance probability was found to be 0.000, so there was difference found in the doses of radiation to crystalline lenses. According to the results of Duncan's post-hoc test, with the scanning of being parallel to IOML as the reference, the reduction of 89.16% and 89.66% was observed in the scanning of being parallel to SOML and that of being parallel to SOML (Bismuth shielding) respectively, so the doses to Lens reduced significantly. Next, in the scanning of being parallel to IOML (Bismuth shielding), the reduction of 37.12% was found. According to the results, reduction in the doses of radiation was found the most significantly both in the scanning of being parallel to SOML and that of being parallel to SOML (Bismuth shielding). With the limit of the equivalent dose to Lens as the reference, this researcher conducted comparison with the dose to occupational exposure and dose to Public exposure in the scanning of being parallel to IOML and found 39.47% and 394.73% respectively; however in the scanning of being parallel to SOML (Bismuth shielding), considerable reduction was found as 4.08% and 40.8% respectively. According to the results of evaluation on picture quality, every image was found to meet the evaluative standards of phantom scanning in terms of the measurement of CT numbers and noise. In conclusion, it would be the most useful way to reduce the dose of radiation to Lens to use shields in brain perfusion CT scanning and adjust patients' position so that their lens will not be in the field of radiation.

Studies on Low Temperature Injury at each Growth Stage in Rice Plant (수도 생육과정별 저온장해에 관한 연구)

  • Hyun-Ok Choi;Jong-Hoon Lee
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.21 no.2
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    • pp.203-210
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    • 1976
  • To abtain basic information in process developing cold tolerance rice variety, used 8 varieties which are the close crossing and the remote crossing in order to clarify how is being the differences of low temperature injury in same variety and the varietal difference at each growth stage under the low temperature treatment, 18$^{\circ}C$-12$^{\circ}C$ (day-night), and to establish the effective testing method for low temperature injury in rice plant. In this experiment, the varietal ifferences of low temperature injury were significant in rice plant, and found out that low temperature injury at the each growth stage from sowing to heading in same variety was not horizontal.

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