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Parallelism Test of Slope in Simple Linear Regression Models
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 Title & Authors
Parallelism Test of Slope in Simple Linear Regression Models
Park, Hyun-Wook; Kim, Dong-Jae;
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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.
Regression model;parallelism test;slope;
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여러개의 단순 선형 회귀모형에서 순차기울기를 이용한 평행성 검정,김주희;김동재;

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Adichie, J. N. (1984). Rank test in linear models, In P. R. Krishnaiah and P. K. Sen (eds), Handbook of Statistics, 4, 229-257

Hollander, M. (1970). A distribution-free test for parallelism, Journal of the American Statistical Associa-tion, 65, 387-394 crossref(new window)

Kramer, C. Y. (1956). Extension of multiple range tests to group means with unequal numbers of replications, Biometrics, 12, 307-310 crossref(new window)

Kruskal, W. H. and Wallis, W. A. (1952). Use of rank in one-criterion variance analysis, Journal of the American Statistical Association, 47, 583-621 crossref(new window)

Newman, D. (1939). The distribution of range in samples from a normal population, expressed in terms of an independent estimate of standard deviation, Biometrika, 31, 20-30 crossref(new window)

SAS/STAT User’s Guide (1999). Version 8. SAS Institute Inc.

Tukey, J. W. (1953). The Problem of Multiple Comparisons, Unpublished manuscript