• Title/Summary/Keyword: regression lines

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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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On a Robust Test for Parallelism of Regression Lines against Ordered Alternatives

  • Song, Moon-Sup;Kim, Jin-Ho
    • Communications for Statistical Applications and Methods
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    • v.4 no.2
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    • pp.565-579
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    • 1997
  • A robust test is proposed for the problem of testing the parallelism of several regression lines against ordered alternatives. The proposed test statistic is based on a linear combination of one-step pairwise GM-estimators. We compare the performance of the proposed test with that of the other tests through a Monte Carlo simulation. The results of the simulation study show that the proposed test has stable levels, good empirical powers in various circumstances, and particularly higher empirical powers under the presence of extreme outliers or leverage points.

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Use of the Linear Placement Statistics for the Parallelism of Two Regression Lines

  • Song, Moon Sup;Park, Hong-Nai;Lee, Kay O;Park, Byeong Uk;Shin, Bong Sup
    • Journal of Korean Society for Quality Management
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    • v.20 no.2
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    • pp.67-75
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    • 1992
  • In this paper we propose a class of tests for the parallelism of two regression lines based on linear placement statistics. The results of a small-sample Monte Carlo study show that the proposed tests are reasonably good in level control and powers.

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A nonparametric test for parallelism of regression lines against ordered alternatives (회귀직선 기울기의 순서성에 대한 비모수적 검정법)

  • 송문섭;이기훈;김순옥
    • The Korean Journal of Applied Statistics
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    • v.6 no.2
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    • pp.401-408
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    • 1993
  • This paper suggests a nonparametric test for the parallelism of several regression lines against ordered alternatives. The test statistic is an extension of the Potthoff statistic. The asymptotic variance of the proposed statistic is estimated by Bootstrap method. The proposed test are compared with the Adichie's parametric and nonparametric tests.

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An educational tool for regression models with dummy variables using Excel VBA (엑셀 VBA을 이용한 가변수 회귀모형 교육도구 개발)

  • Choi, Hyun Seok;Park, Cheolyong
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.3
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    • pp.593-601
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    • 2013
  • We often need to include categorial variables as explanatory variables in regression models. The categorial variables in regression models can be quantified through dummy variables. In this study, we provide an education tool using Excel VBA for displaying regression lines along with test results for regression models with a continuous explanatory variable and one or two categorical explanatory variables. The regression lines with test results are provided step by step for the model(s) with interaction(s), the model(s) without interaction(s) but with dummy variables, and the model without dummy variable(s). With this tool, we can easily understand the meaning of dummy variables and interaction effect through graphics and further decide which model is more suited to the data on hand.

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).

Evaluation of Network Reshuffling Alternatives Based on Key Factors Affecting the Mode Share of Seoul Metro (서울시 도시철도 이용에 영향을 미치는 요소를 반영한 노선 조정 효과 분석)

  • Jo, Dohyoung;Sohn, Keemin;Kim, Daehyun;Kim, Ikki
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.6D
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    • pp.935-943
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    • 2006
  • Key factors affecting the mode share of Soul metro are investigated. The log-regression model, which can describe the elasticity of the factors with ease, is established rather than the conventional mode choice model is used. The log-regression model requires lower level of data availability for calibration and identifies the impact of the factors on mode share straightforwardly. As a result, it is found that the main reasons why the current mode share of railway is low are due to several problems such as winding lines, inconvenient transfers and unnecessary bypasses. The calibrated model is adopted to evaluate the network reshuffling alternatives. The network reshuffling is to rearrange the existing inefficient railway lines that have frequent transfers and many winding segments. The proposed network reshuffling, which includes straightening winding lines and changing grade separated transfers into cross-platform transfers, turned out to be a good measure to tackle the problems.

Asymptotically Optimal Estimators of the Differences of Two Regression Parameters

  • Park, Byeong U.;Kim, Woo C.;Song, Moon S.
    • Journal of the Korean Statistical Society
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    • v.18 no.2
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    • pp.97-106
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    • 1989
  • We consider two semiparametric regression lines where the density of the error terms are unknown. We give simultaneous estimatros of the differences of intercepts and slopes which turn out to be asymptotically minimax as well as efficient in semiparametric sense.

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A Comparative Study of Measuring Air Liners′ Service Quality (항공사 서비스 품질 측정방법의 비교 연구)

  • 장대성
    • Journal of Korean Society for Quality Management
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    • v.31 no.4
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    • pp.36-54
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    • 2003
  • There have been academic debates upon which measure is more desirable in measuring service qualify between SERVQUAL and SERVPERF. In addition, Korean air lines industry is rapidly growing due to the increase of Koren family income and globalization. This study tried to contribute to both academic and practical issues. This study compared SERVQUAL and SERVPERF measures to determine which is superior to measure service quality in Korean air lines industry. Data was collected from two airliners' customers of Korea. According to the results of confirmatory factor analyses, regression analyses and analyses of goodness of fit, SERVPERF appears to be better in measuring service quality in Korean air lines industry than SERVQUAL. We suggest that SERVPERF be used to measure service quality in Korean air lines industry.