{"id":32570239,"url":"https://github.com/chikuang/optimaldesigns-slse","last_synced_at":"2025-10-29T08:15:01.244Z","repository":{"id":180517213,"uuid":"105064040","full_name":"chikuang/OptimalDesigns-SLSE","owner":"chikuang","description":"MATLAB code for finding optimal designs using the second-order least squares estimation","archived":false,"fork":false,"pushed_at":"2024-05-14T01:31:56.000Z","size":432,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"master","last_synced_at":"2025-10-12T00:54:16.486Z","etag":null,"topics":["optimal-designs","statistics"],"latest_commit_sha":null,"homepage":"","language":"MATLAB","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/chikuang.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2017-09-27T20:06:35.000Z","updated_at":"2024-05-14T01:32:00.000Z","dependencies_parsed_at":"2023-07-17T16:07:38.423Z","dependency_job_id":null,"html_url":"https://github.com/chikuang/OptimalDesigns-SLSE","commit_stats":null,"previous_names":["chikuang/optimaldesigns-slse"],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/chikuang/OptimalDesigns-SLSE","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/chikuang%2FOptimalDesigns-SLSE","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/chikuang%2FOptimalDesigns-SLSE/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/chikuang%2FOptimalDesigns-SLSE/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/chikuang%2FOptimalDesigns-SLSE/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/chikuang","download_url":"https://codeload.github.com/chikuang/OptimalDesigns-SLSE/tar.gz/refs/heads/master","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/chikuang%2FOptimalDesigns-SLSE/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":281585303,"owners_count":26526257,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","status":"online","status_checked_at":"2025-10-29T02:00:06.901Z","response_time":59,"last_error":null,"robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":true,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["optimal-designs","statistics"],"created_at":"2025-10-29T08:14:44.634Z","updated_at":"2025-10-29T08:15:01.236Z","avatar_url":"https://github.com/chikuang.png","language":"MATLAB","funding_links":[],"categories":[],"sub_categories":[],"readme":"# Optimal designs under the second-order least squares estimator:\n\n### MSc Thesis\n\n[Optimal regression design under second-order least squares estimator: theory, algorithm and applications](https://dspace.library.uvic.ca/handle/1828/9765)\n\nAuthor: [Chi-Kuang Yeh](http://www.math.uvic.ca/~chikuang/)\n\nSupervisor: [Julue Zhou](http://www.math.uvic.ca/~jzhou/)\n\nAbstract: In this thesis, we first review the current development of optimal regression designs under the second-order least squares estimator in the literature. The criteria include A- and D-optimality. We then introduce a new formulation of A-optimality criterion so the result can be extended to c-optimality which has not been studied before. Following Kiefer's equivalence results, we derive the optimality conditions for A-, c- and D-optimal designs under the second-order least squares estimator. In addition, we study the number of support points for various regression models including Peleg models, trigonometric models, regular and fractional polynomial models. A generalized scale invariance property for D-optimal designs is also explored. Furthermore, we discuss one computing algorithm to find optimal designs numerically. Several interesting applications are presented and related MATLAB code are provided in the thesis.\n\nSchool: [University of Victoria](https://www.uvic.ca/)\n\n### Paper\n\n[Properties of optimal regression designs under the second-order least squares estimator](https://link.springer.com/article/10.1007%2Fs00362-018-01076-6)\n\n### Software used\n\n* This research was programmed on MATLAB, version 2016a. MATLAB can be downloaded from [MathWorks](https://www.mathworks.com/products/matlab.html). \n\n* In addition, [CVX](http://cvxr.com/cvx/) version 2.1 was used.\n\n### Models \n\n* Michaelis Menton Model (MM)\n* Compartment Model\n* Emax Model\n* Polynomial model\n* Fractional Polynomial model\n* etc. ...\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fchikuang%2Foptimaldesigns-slse","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fchikuang%2Foptimaldesigns-slse","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fchikuang%2Foptimaldesigns-slse/lists"}