Aligned rank tests in measurement error model

NAVRÁTIL, Radim and A. K. Md. Ehasenes SALEH. Aligned rank tests in measurement error model. Applications of Mathematics. 2016, vol. 61, No 1, p. 47-59. ISSN 0862-7940. Available from: https://dx.doi.org/10.1007/s10492-016-0121-2.

Basic information

Original name

Aligned rank tests in measurement error model

Authors

NAVRÁTIL, Radim (203 Czech Republic, guarantor, belonging to the institution) and A. K. Md. Ehasenes SALEH (124 Canada)

Edition

Applications of Mathematics, 2016, 0862-7940

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Czech Republic

Confidentiality degree

není předmětem státního či obchodního tajemství

Impact factor

Impact factor: 0.618

RIV identification code

RIV/00216224:14310/16:00089283

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1007/s10492-016-0121-2

UT WoS

000369303200003

Keywords in English

aligned test; measurement error; rank test

Tags

AKR, rivok

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Abstract

V originále

Aligned rank tests are introduced in the linear regression model with possible measurement errors. Unknown nuisance parameters are estimated first and then classical rank tests are applied on the residuals. Two situations are discussed: testing about an intercept in the linear regression model considering the slope parameter as nuisance and testing of parallelism of several regression lines, i.e. whether the slope parameters of all lines are equal. Theoretical results are derived and the simulation study is also made to illustrate good performance of introduced tests.