Heuristic Algorithm for Obtaining Approximate Optimum Stratification With Mixture of Ratio and Product Estimators
<p dir="ltr">In this investigation, we examined the impact of employing simple random sampling on the stratification points pertaining to the two independent variables. The study focused on a variable (X) exhibiting a robust correlation, and we employed a combination of ratio and pro...
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2024
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| _version_ | 1864513541058330624 |
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| author | S. E. H. Rizvi (22052105) |
| author2 | Faizan Danish (21410790) Rafia Jan (22052108) Ismail A. Mageed (22052111) Sumaya Al Maadeed (21392999) Jihad Mohamed Aljáam (22052114) |
| author2_role | author author author author author |
| author_facet | S. E. H. Rizvi (22052105) Faizan Danish (21410790) Rafia Jan (22052108) Ismail A. Mageed (22052111) Sumaya Al Maadeed (21392999) Jihad Mohamed Aljáam (22052114) |
| author_role | author |
| dc.creator.none.fl_str_mv | S. E. H. Rizvi (22052105) Faizan Danish (21410790) Rafia Jan (22052108) Ismail A. Mageed (22052111) Sumaya Al Maadeed (21392999) Jihad Mohamed Aljáam (22052114) |
| dc.date.none.fl_str_mv | 2024-08-09T06:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1109/access.2024.3435376 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Heuristic_Algorithm_for_Obtaining_Approximate_Optimum_Stratification_With_Mixture_of_Ratio_and_Product_Estimators/29907281 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Applied mathematics Statistics Optimum stratification ratio estimator product estimator super-population model Statistics Social factors Resource management Correlation Estimation Surveys Accuracy Sampling methods Heuristic algorithms Mathematical models |
| dc.title.none.fl_str_mv | Heuristic Algorithm for Obtaining Approximate Optimum Stratification With Mixture of Ratio and Product Estimators |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">In this investigation, we examined the impact of employing simple random sampling on the stratification points pertaining to the two independent variables. The study focused on a variable (X) exhibiting a robust correlation, and we employed a combination of ratio and product estimators to select a representative sample and establish the population mean. By maintaining a comprehensive superpopulation framework, we successfully identified concise equations that effectively reduced the overall variability within the dataset. To reveal the underlying nature of these mathematical derivations, we employed the cumulative cube roots rule to determine nearly optimal stratification points for the two research variables. The validity of this suggested rule was assessed through rigorous testing utilizing empirical and simulated data obtained from diverse distributions.</p><h2>Other Information</h2><p dir="ltr">Published in: IEEE Access<br>License: <a href="https://creativecommons.org/licenses/by/4.0/deed.en" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1109/access.2024.3435376" target="_blank">https://dx.doi.org/10.1109/access.2024.3435376</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_fb7a471dd24b4ac804b3d5f86a5039bd |
| identifier_str_mv | 10.1109/access.2024.3435376 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/29907281 |
| publishDate | 2024 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Heuristic Algorithm for Obtaining Approximate Optimum Stratification With Mixture of Ratio and Product EstimatorsS. E. H. Rizvi (22052105)Faizan Danish (21410790)Rafia Jan (22052108)Ismail A. Mageed (22052111)Sumaya Al Maadeed (21392999)Jihad Mohamed Aljáam (22052114)Mathematical sciencesApplied mathematicsStatisticsOptimum stratificationratio estimatorproduct estimatorsuper-population modelStatisticsSocial factorsResource managementCorrelationEstimationSurveysAccuracySampling methodsHeuristic algorithmsMathematical models<p dir="ltr">In this investigation, we examined the impact of employing simple random sampling on the stratification points pertaining to the two independent variables. The study focused on a variable (X) exhibiting a robust correlation, and we employed a combination of ratio and product estimators to select a representative sample and establish the population mean. By maintaining a comprehensive superpopulation framework, we successfully identified concise equations that effectively reduced the overall variability within the dataset. To reveal the underlying nature of these mathematical derivations, we employed the cumulative cube roots rule to determine nearly optimal stratification points for the two research variables. The validity of this suggested rule was assessed through rigorous testing utilizing empirical and simulated data obtained from diverse distributions.</p><h2>Other Information</h2><p dir="ltr">Published in: IEEE Access<br>License: <a href="https://creativecommons.org/licenses/by/4.0/deed.en" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1109/access.2024.3435376" target="_blank">https://dx.doi.org/10.1109/access.2024.3435376</a></p>2024-08-09T06:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1109/access.2024.3435376https://figshare.com/articles/journal_contribution/Heuristic_Algorithm_for_Obtaining_Approximate_Optimum_Stratification_With_Mixture_of_Ratio_and_Product_Estimators/29907281CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/299072812024-08-09T06:00:00Z |
| spellingShingle | Heuristic Algorithm for Obtaining Approximate Optimum Stratification With Mixture of Ratio and Product Estimators S. E. H. Rizvi (22052105) Mathematical sciences Applied mathematics Statistics Optimum stratification ratio estimator product estimator super-population model Statistics Social factors Resource management Correlation Estimation Surveys Accuracy Sampling methods Heuristic algorithms Mathematical models |
| status_str | publishedVersion |
| title | Heuristic Algorithm for Obtaining Approximate Optimum Stratification With Mixture of Ratio and Product Estimators |
| title_full | Heuristic Algorithm for Obtaining Approximate Optimum Stratification With Mixture of Ratio and Product Estimators |
| title_fullStr | Heuristic Algorithm for Obtaining Approximate Optimum Stratification With Mixture of Ratio and Product Estimators |
| title_full_unstemmed | Heuristic Algorithm for Obtaining Approximate Optimum Stratification With Mixture of Ratio and Product Estimators |
| title_short | Heuristic Algorithm for Obtaining Approximate Optimum Stratification With Mixture of Ratio and Product Estimators |
| title_sort | Heuristic Algorithm for Obtaining Approximate Optimum Stratification With Mixture of Ratio and Product Estimators |
| topic | Mathematical sciences Applied mathematics Statistics Optimum stratification ratio estimator product estimator super-population model Statistics Social factors Resource management Correlation Estimation Surveys Accuracy Sampling methods Heuristic algorithms Mathematical models |