Inference for the break point in segmented regression with application to longitudinal data
This paper considers inference for the break point in the segmented regression or piece-wise regression model. Standard likelihood theory does not apply because the break point is absent under the null hypothesis. We use results by DAVIES for this type of non-standard set-up [Biometrika 64 (1977), 2...
| Main Authors: | , |
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| Format: | Journal Article |
| Language: | Inglés |
| Published: |
Wiley
2003
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10568/35339 |
| Summary: | This paper considers inference for the break point in the segmented regression or piece-wise regression model. Standard likelihood theory does not apply because the break point is absent under the null hypothesis. We use results by DAVIES for this type of non-standard set-up [Biometrika 64 (1977), 247-254 and 74 (1987), 33-43] to obtain a test for the null hypothesis of no break point. A confidence interval can be constructed provided replicate data are available. The methods are exemplified using two longitudinal datasets, the one from ecology, the other from pharmacology. |
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