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March, 1975 On the Use of Ranks for Testing the Coincidence of Several Regression Lines
J. N. Adichie
Ann. Statist. 3(2): 521-527 (March, 1975). DOI: 10.1214/aos/1176343083

Abstract

For several linear regression lines $Y_{ij} = \alpha_i + \beta_i(x_{ij} - x{_i.}) + Z_{ij}, i = 1,\cdots, k; j = 1, \cdot, n_i$, a statistic for testing $\alpha_i = \alpha, \beta_i = \beta$ is constructed based on the simultaneous ranking of all the observations. The asymptotic properties of the criterion are also studied. The results are, however, not directly applicable to the general design model $Y_{ij} = \alpha_i + \beta_i x_{ij} + Z_{ij}$, unless it is assumed that the group means $x_i$. are all equal.

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J. N. Adichie. "On the Use of Ranks for Testing the Coincidence of Several Regression Lines." Ann. Statist. 3 (2) 521 - 527, March, 1975. https://doi.org/10.1214/aos/1176343083

Information

Published: March, 1975
First available in Project Euclid: 12 April 2007

zbMATH: 0305.62026
MathSciNet: MR373144
Digital Object Identifier: 10.1214/aos/1176343083

Subjects:
Primary: 62G10
Secondary: 62E20, 62G20, 62J05

Rights: Copyright © 1975 Institute of Mathematical Statistics

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Vol.3 • No. 2 • March, 1975
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