| Title:
|
Aligned rank tests in measurement error model (English) |
| Author:
|
Navrátil, Radim |
| Author:
|
Saleh, A. K. Md. Ehsanes |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
61 |
| Issue:
|
1 |
| Year:
|
2016 |
| Pages:
|
47-59 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
aligned test |
| Keyword:
|
measurement error |
| Keyword:
|
rank test |
| MSC:
|
62G10 |
| MSC:
|
62J05 |
| idZBL:
|
Zbl 06562146 |
| idMR:
|
MR3455167 |
| DOI:
|
10.1007/s10492-016-0121-2 |
| . |
| Date available:
|
2016-01-19T14:00:18Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144811 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[14] Saleh, A. K. Md. E., Picek, J., Kalina, J.: R-estimation of the parameters of a multiple regression model with measurement errors.Metrika 75 (2012), 311-328. Zbl 1239.62081, MR 2909549, 10.1007/s00184-010-0328-2 |
| Reference:
|
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| . |
