Multivariate one-sided testing in matched observational studies as an adversarial game
We present a multivariate one-sided sensitivity analysis for matched observational studies, appropriate when the researcher has specified that a given causal mechanism should manifest itself in effects on multiple outcome variables in a known direction. The test statistic can be thought of as the so...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Oxford University Press (OUP)
2021
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| Online Access: | https://hdl.handle.net/1721.1/130515 |
| _version_ | 1826208026784169984 |
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| author | Cohen, Peter L. Fogarty, Colin B |
| author2 | Massachusetts Institute of Technology. Operations Research Center |
| author_facet | Massachusetts Institute of Technology. Operations Research Center Cohen, Peter L. Fogarty, Colin B |
| author_sort | Cohen, Peter L. |
| collection | MIT |
| description | We present a multivariate one-sided sensitivity analysis for matched observational studies, appropriate when the researcher has specified that a given causal mechanism should manifest itself in effects on multiple outcome variables in a known direction. The test statistic can be thought of as the solution to an adversarial game, where the researcher determines the best linear combination of test statistics to combat nature’s presentation of the worst-case pattern of hidden bias. The corresponding optimization problem is convex, and can be solved efficiently even for reasonably sized observational studies. Asymptotically, the test statistic converges to a chi-bar-squared distribution under the null, a common distribution in order-restricted statistical inference. The test attains the largest possible design sensitivity over a class of coherent test statistics, and facilitates one-sided sensitivity analyses for individual outcome variables while maintaining familywise error control through its incorporation into closed testing procedures. |
| first_indexed | 2024-09-23T13:59:13Z |
| format | Article |
| id | mit-1721.1/130515 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:59:13Z |
| publishDate | 2021 |
| publisher | Oxford University Press (OUP) |
| record_format | dspace |
| spelling | mit-1721.1/1305152022-04-01T17:27:46Z Multivariate one-sided testing in matched observational studies as an adversarial game Cohen, Peter L. Fogarty, Colin B Massachusetts Institute of Technology. Operations Research Center We present a multivariate one-sided sensitivity analysis for matched observational studies, appropriate when the researcher has specified that a given causal mechanism should manifest itself in effects on multiple outcome variables in a known direction. The test statistic can be thought of as the solution to an adversarial game, where the researcher determines the best linear combination of test statistics to combat nature’s presentation of the worst-case pattern of hidden bias. The corresponding optimization problem is convex, and can be solved efficiently even for reasonably sized observational studies. Asymptotically, the test statistic converges to a chi-bar-squared distribution under the null, a common distribution in order-restricted statistical inference. The test attains the largest possible design sensitivity over a class of coherent test statistics, and facilitates one-sided sensitivity analyses for individual outcome variables while maintaining familywise error control through its incorporation into closed testing procedures. 2021-04-23T18:38:04Z 2021-04-23T18:38:04Z 2020-12 2018-12 2021-04-06T17:02:37Z Article http://purl.org/eprint/type/JournalArticle 0006-3444 https://hdl.handle.net/1721.1/130515 Cohen, Peter L. et al. “Multivariate one-sided testing in matched observational studies as an adversarial game.” Biometrika, 107, 4 (December 2020): 809–825 © 2020 The Author(s) en 10.1093/BIOMET/ASAA024 Biometrika Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Oxford University Press (OUP) arXiv |
| spellingShingle | Cohen, Peter L. Fogarty, Colin B Multivariate one-sided testing in matched observational studies as an adversarial game |
| title | Multivariate one-sided testing in matched observational studies as an adversarial game |
| title_full | Multivariate one-sided testing in matched observational studies as an adversarial game |
| title_fullStr | Multivariate one-sided testing in matched observational studies as an adversarial game |
| title_full_unstemmed | Multivariate one-sided testing in matched observational studies as an adversarial game |
| title_short | Multivariate one-sided testing in matched observational studies as an adversarial game |
| title_sort | multivariate one sided testing in matched observational studies as an adversarial game |
| url | https://hdl.handle.net/1721.1/130515 |
| work_keys_str_mv | AT cohenpeterl multivariateonesidedtestinginmatchedobservationalstudiesasanadversarialgame AT fogartycolinb multivariateonesidedtestinginmatchedobservationalstudiesasanadversarialgame |