Regression reconstruction from a retrospective sample
The simplest form of retrospective study allows the reconstruction of the dependence be- tween a binary outcome, Y, representing the contrast between cases and controls, and one or more explanatory variables. A different objective for such situations is considered, in which there are distinct explan...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Elsevier
2020
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| _version_ | 1826309446515556352 |
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| author | Kartsonaki, C Cox, DR |
| author_facet | Kartsonaki, C Cox, DR |
| author_sort | Kartsonaki, C |
| collection | OXFORD |
| description | The simplest form of retrospective study allows the reconstruction of the dependence be- tween a binary outcome, Y, representing the contrast between cases and controls, and one or more explanatory variables. A different objective for such situations is considered, in which there are distinct explanatory variables, say (W, X) determining Y . Reconstruction of the originating distribution of (W, X) from the case-control data is considered for both continuous and binary variables. Emphasis is on the linear regression coefficient of W on X. That coefficient, but not the relevant intercept, shows considerable stability, as shown by theory and simulations. An approximation to the value of the coefficient not conditioning on Y is given. |
| first_indexed | 2024-03-07T07:35:50Z |
| format | Journal article |
| id | oxford-uuid:06ae8d4b-06b6-4cdd-a7c3-176779de4703 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:35:50Z |
| publishDate | 2020 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:06ae8d4b-06b6-4cdd-a7c3-176779de47032023-03-09T10:38:19ZRegression reconstruction from a retrospective sampleJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:06ae8d4b-06b6-4cdd-a7c3-176779de4703EnglishSymplectic ElementsElsevier2020Kartsonaki, CCox, DRThe simplest form of retrospective study allows the reconstruction of the dependence be- tween a binary outcome, Y, representing the contrast between cases and controls, and one or more explanatory variables. A different objective for such situations is considered, in which there are distinct explanatory variables, say (W, X) determining Y . Reconstruction of the originating distribution of (W, X) from the case-control data is considered for both continuous and binary variables. Emphasis is on the linear regression coefficient of W on X. That coefficient, but not the relevant intercept, shows considerable stability, as shown by theory and simulations. An approximation to the value of the coefficient not conditioning on Y is given. |
| spellingShingle | Kartsonaki, C Cox, DR Regression reconstruction from a retrospective sample |
| title | Regression reconstruction from a retrospective sample |
| title_full | Regression reconstruction from a retrospective sample |
| title_fullStr | Regression reconstruction from a retrospective sample |
| title_full_unstemmed | Regression reconstruction from a retrospective sample |
| title_short | Regression reconstruction from a retrospective sample |
| title_sort | regression reconstruction from a retrospective sample |
| work_keys_str_mv | AT kartsonakic regressionreconstructionfromaretrospectivesample AT coxdr regressionreconstructionfromaretrospectivesample |