D-Optimal Design for a Causal Structure for Completely Randomized and Random Blocked Experiments
Most experimental design literature on causal inference focuses on establishing a causal relationship between variables, but there is no literature on how to identify a design that results in the optimal parameter estimates for a structural equation model (SEM). In this research, search algorithms a...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2022/7299086 |
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| _version_ | 1832553023881084928 |
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| author | Zaher Kmail Kent Eskridge |
| author_facet | Zaher Kmail Kent Eskridge |
| author_sort | Zaher Kmail |
| collection | DOAJ |
| description | Most experimental design literature on causal inference focuses on establishing a causal relationship between variables, but there is no literature on how to identify a design that results in the optimal parameter estimates for a structural equation model (SEM). In this research, search algorithms are used to produce a D-optimal design for a SEM for three-stage least squares and full information maximum likelihood estimators. Then, a D-optimal design for the estimate of the model parameters of a mixed-effects SEM is obtained. The efficiency of each of the D-optimal designs for SEMs is compared with univariate optimal and uniform designs. In each case, the causal relationship changed the optimal designs dramatically and the new D-optimal designs were more efficient. |
| format | Article |
| id | doaj-art-efaf956e5c7142a1acb8eabaa16dfce8 |
| institution | Kabale University |
| issn | 1687-9538 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-efaf956e5c7142a1acb8eabaa16dfce82025-02-03T05:57:23ZengWileyJournal of Probability and Statistics1687-95382022-01-01202210.1155/2022/7299086D-Optimal Design for a Causal Structure for Completely Randomized and Random Blocked ExperimentsZaher Kmail0Kent Eskridge1School of Interdisciplinary Arts and SciencesDepartment of StatisticsMost experimental design literature on causal inference focuses on establishing a causal relationship between variables, but there is no literature on how to identify a design that results in the optimal parameter estimates for a structural equation model (SEM). In this research, search algorithms are used to produce a D-optimal design for a SEM for three-stage least squares and full information maximum likelihood estimators. Then, a D-optimal design for the estimate of the model parameters of a mixed-effects SEM is obtained. The efficiency of each of the D-optimal designs for SEMs is compared with univariate optimal and uniform designs. In each case, the causal relationship changed the optimal designs dramatically and the new D-optimal designs were more efficient.http://dx.doi.org/10.1155/2022/7299086 |
| spellingShingle | Zaher Kmail Kent Eskridge D-Optimal Design for a Causal Structure for Completely Randomized and Random Blocked Experiments Journal of Probability and Statistics |
| title | D-Optimal Design for a Causal Structure for Completely Randomized and Random Blocked Experiments |
| title_full | D-Optimal Design for a Causal Structure for Completely Randomized and Random Blocked Experiments |
| title_fullStr | D-Optimal Design for a Causal Structure for Completely Randomized and Random Blocked Experiments |
| title_full_unstemmed | D-Optimal Design for a Causal Structure for Completely Randomized and Random Blocked Experiments |
| title_short | D-Optimal Design for a Causal Structure for Completely Randomized and Random Blocked Experiments |
| title_sort | d optimal design for a causal structure for completely randomized and random blocked experiments |
| url | http://dx.doi.org/10.1155/2022/7299086 |
| work_keys_str_mv | AT zaherkmail doptimaldesignforacausalstructureforcompletelyrandomizedandrandomblockedexperiments AT kenteskridge doptimaldesignforacausalstructureforcompletelyrandomizedandrandomblockedexperiments |