Advancing Survey Sampling Efficiency under Stratified Random Sampling and Post-Stratification: Leveraging Symmetry for Enhanced Estimation Accuracy in the Prediction of Exam Scores
This pioneering investigation introduces two innovative estimators crafted to evaluate the finite population distribution function of a study variable, employing auxiliary variables within the framework of stratified random sampling and post-stratification while emphasizing symmetry in the sampling...
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| Published in: | Symmetry (Basel) Vol. 16; no. 5; p. 604 |
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| Abstract | This pioneering investigation introduces two innovative estimators crafted to evaluate the finite population distribution function of a study variable, employing auxiliary variables within the framework of stratified random sampling and post-stratification while emphasizing symmetry in the sampling process. The derivation of mathematical expressions for bias and the mean square error up to the first degree of approximation fortifies the credibility of the proposed estimators. Drawing from three distinct datasets, including real-world data capturing student behaviors and exam performances from 500 students, this research highlights the superior efficiency of the proposed estimators compared to existing methods across both sampling schemes. Employing the proposed estimator, we effectively forecast students’ exam scores based on their study hours, backed by empirical evidence showcasing its precision in terms of mean square error and percentage relative efficiency. This study not only introduces inventive solutions to enduring challenges in survey sampling but also provides practical insights into enhancing predictive accuracy in educational assessments. |
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| AbstractList | This pioneering investigation introduces two innovative estimators crafted to evaluate the finite population distribution function of a study variable, employing auxiliary variables within the framework of stratified random sampling and post-stratification while emphasizing symmetry in the sampling process. The derivation of mathematical expressions for bias and the mean square error up to the first degree of approximation fortifies the credibility of the proposed estimators. Drawing from three distinct datasets, including real-world data capturing student behaviors and exam performances from 500 students, this research highlights the superior efficiency of the proposed estimators compared to existing methods across both sampling schemes. Employing the proposed estimator, we effectively forecast students’ exam scores based on their study hours, backed by empirical evidence showcasing its precision in terms of mean square error and percentage relative efficiency. This study not only introduces inventive solutions to enduring challenges in survey sampling but also provides practical insights into enhancing predictive accuracy in educational assessments. |
| Audience | Academic |
| Author | Albalawi, Olayan Danish, Faizan Triveni, Gullinkala Ramya Venkata |
| Author_xml | – sequence: 1 givenname: Gullinkala Ramya Venkata surname: Triveni fullname: Triveni, Gullinkala Ramya Venkata – sequence: 2 givenname: Faizan orcidid: 0000-0002-0476-9744 surname: Danish fullname: Danish, Faizan – sequence: 3 givenname: Olayan orcidid: 0000-0002-7772-0386 surname: Albalawi fullname: Albalawi, Olayan |
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| Cites_doi | 10.1080/03610918.2020.1859537 10.1080/03610918.2017.1280161 10.1080/03610920802562723 10.1080/03610918.2019.1643479 10.1080/03610926.2022.2100910 10.1080/03610926.2017.1291973 10.1371/journal.pone.0239098 10.1093/biomet/79.3.577 10.1080/03610926.2015.1035394 10.1080/01621459.1993.10476368 10.1080/03610926.2012.732180 10.1080/03610926.2017.1335419 10.1016/j.aej.2024.02.051 10.1081/STA-200052156 10.1080/03610926.2016.1231822 10.2307/2344652 10.1080/03610926.2019.1586945 10.1080/03610926.2021.1939052 10.1080/03610926.2011.592257 10.1080/03610918.2012.736579 10.1002/bimj.200390007 10.1080/03610926.2021.1955388 10.1080/03610929108830705 10.1371/journal.pone.0246947 10.1093/biomet/83.3.639 10.1080/15598608.2017.1349012 10.1017/S0021859600048012 10.1016/j.matcom.2013.04.027 |
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| References | Zaman (ref_25) 2019; 22 Pal (ref_24) 2018; 47 Gupta (ref_22) 2018; 8 Silva (ref_8) 1995; 11 Zaman (ref_33) 2023; 52 Singh (ref_27) 2020; 49 Singh (ref_14) 2013; 42 Shabbir (ref_19) 2017; 46 Triveni (ref_32) 2023; 16 Rao (ref_7) 1994; 10 Singh (ref_13) 2009; 3 Haq (ref_23) 2018; 12 Triveni (ref_35) 2024; 92 Varshney (ref_30) 2021; 50 Kadilar (ref_38) 2003; 45 Little (ref_6) 1993; 88 Ahmad (ref_31) 2022; 2022 ref_37 Grover (ref_15) 2014; 43 Wang (ref_9) 1996; 83 Kocyigit (ref_36) 2024; 53 Singh (ref_20) 2017; 46 Vishwakarma (ref_21) 2018; 47 Tiwari (ref_34) 2023; 52 Rao (ref_4) 1991; 20 Cochran (ref_1) 1940; 30 Munoz (ref_16) 2014; 102 Kadilar (ref_11) 2005; 34 Tailor (ref_17) 2017; 46 Murthy (ref_2) 1964; 26 Holt (ref_3) 1979; 142 ref_28 ref_26 Koyuncu (ref_12) 2009; 38 Ahmed (ref_10) 2003; 139 Muneer (ref_18) 2017; 46 Bhushan (ref_29) 2021; 52 Chambers (ref_5) 1992; 79 |
| References_xml | – volume: 11 start-page: 277 year: 1995 ident: ref_8 article-title: Estimating distribution functions with auxiliary information using poststratification publication-title: J. Off. Stat. contributor: fullname: Silva – volume: 52 start-page: 442 year: 2023 ident: ref_34 article-title: A general class of estimators in stratified random sampling publication-title: Commun. Stat.-Simul. Comput. doi: 10.1080/03610918.2020.1859537 contributor: fullname: Tiwari – volume: 47 start-page: 143 year: 2018 ident: ref_24 article-title: Estimation of finite population mean using auxiliary information in presence of non-response publication-title: Commun. Stat.-Simul. Comput. doi: 10.1080/03610918.2017.1280161 contributor: fullname: Pal – volume: 38 start-page: 2398 year: 2009 ident: ref_12 article-title: Family of estimators of population mean using two auxiliary variables in stratified random sampling publication-title: Commun. Stat. Theory Methods doi: 10.1080/03610920802562723 contributor: fullname: Koyuncu – volume: 50 start-page: 4364 year: 2021 ident: ref_30 article-title: Efficient estimation of population mean under stratified random sampling with a linear cost function publication-title: Commun. Stat.-Simul. Comput. doi: 10.1080/03610918.2019.1643479 contributor: fullname: Varshney – volume: 53 start-page: 1331 year: 2024 ident: ref_36 article-title: Information theory approach to ranked set sampling and new sub-ratio estimators publication-title: Commun. Stat.-Theory Methods doi: 10.1080/03610926.2022.2100910 contributor: fullname: Kocyigit – volume: 3 start-page: 13 year: 2009 ident: ref_13 article-title: Improvement in estimating the population mean using an exponential estimator in simple random sampling publication-title: Int. J. Stat. Econ. contributor: fullname: Singh – volume: 46 start-page: 12194 year: 2017 ident: ref_20 article-title: Some efficient classes of estimators of population mean in two-phase successive sampling under random nonresponse publication-title: Commun. Stat.-Theory Methods doi: 10.1080/03610926.2017.1291973 contributor: fullname: Singh – volume: 16 start-page: 137 year: 2023 ident: ref_32 article-title: Heuristical Approach for Optimizing Population Mean Using Ratio Estimator in Stratified Random Sampling publication-title: J. Reliab. Stat. Stud. contributor: fullname: Triveni – ident: ref_26 doi: 10.1371/journal.pone.0239098 – ident: ref_37 – volume: 79 start-page: 577 year: 1992 ident: ref_5 article-title: Properties of estimators of the finite population distribution function publication-title: Biometrika doi: 10.1093/biomet/79.3.577 contributor: fullname: Chambers – volume: 139 start-page: 287 year: 2003 ident: ref_10 article-title: Some estimators of a finite population mean using auxiliary information publication-title: Appl. Math. Comput. contributor: fullname: Ahmed – volume: 46 start-page: 2181 year: 2017 ident: ref_18 article-title: Estimation of finite population mean in simple random sampling and stratified random sampling using two auxiliary variables publication-title: Commun. Stat.-Theory Methods doi: 10.1080/03610926.2015.1035394 contributor: fullname: Muneer – volume: 88 start-page: 1001 year: 1993 ident: ref_6 article-title: Post-stratification: A modeler’s perspective publication-title: J. Am. Stat. Assoc. doi: 10.1080/01621459.1993.10476368 contributor: fullname: Little – volume: 46 start-page: 10387 year: 2017 ident: ref_17 article-title: Improved ratio-and product-type exponential estimators for population mean in case of post-stratification publication-title: Commun. Stat.-Theory Methods doi: 10.1080/03610926.2012.732180 contributor: fullname: Tailor – volume: 26 start-page: 69 year: 1964 ident: ref_2 article-title: Product method of estimation. Sankhya publication-title: Indian J. Stat. Ser. A contributor: fullname: Murthy – volume: 47 start-page: 1989 year: 2018 ident: ref_21 article-title: An alternative to ratio estimator in post-stratification publication-title: Commun. Stat.-Theory Methods doi: 10.1080/03610926.2017.1335419 contributor: fullname: Vishwakarma – volume: 92 start-page: 267 year: 2024 ident: ref_35 article-title: Exploring the dependability of Combined Ratio Estimators in Stratified Ranked Set Sampling: Insights from COVID-19 data publication-title: Alex. Eng. J. doi: 10.1016/j.aej.2024.02.051 contributor: fullname: Triveni – volume: 34 start-page: 597 year: 2005 ident: ref_11 article-title: A new ratio estimator in stratified random sampling publication-title: Commun. Stat. Theory Methods doi: 10.1081/STA-200052156 contributor: fullname: Kadilar – volume: 22 start-page: 1499 year: 2019 ident: ref_25 article-title: Novel family of exponential estimators using information of auxiliary attribute publication-title: J. Stat. Manag. Syst. contributor: fullname: Zaman – volume: 46 start-page: 10135 year: 2017 ident: ref_19 article-title: Estimation of finite population mean in simple and stratified random sampling using two auxiliary variables publication-title: Commun. Stat.-Theory Methods doi: 10.1080/03610926.2016.1231822 contributor: fullname: Shabbir – volume: 142 start-page: 33 year: 1979 ident: ref_3 article-title: Post-stratification publication-title: J. R. Stat. Soc. Ser. A (Gen.) doi: 10.2307/2344652 contributor: fullname: Holt – volume: 10 start-page: 153 year: 1994 ident: ref_7 article-title: Estimating totals and distribution functions using auxiliary information at the estimation stage publication-title: J. Off. Stat. contributor: fullname: Rao – volume: 49 start-page: 3329 year: 2020 ident: ref_27 article-title: Some imputation methods to compensate with non-response for estimation of population mean in two-occasion successive sampling publication-title: Commun. Stat.-Theory Methods doi: 10.1080/03610926.2019.1586945 contributor: fullname: Singh – volume: 52 start-page: 1767 year: 2021 ident: ref_29 article-title: Some efficient classes of estimators under stratified sampling publication-title: Commun. Stat.-Theory Methods doi: 10.1080/03610926.2021.1939052 contributor: fullname: Bhushan – volume: 42 start-page: 1008 year: 2013 ident: ref_14 article-title: Efficient ratio and product estimators in stratified random sampling publication-title: Commun. Stat.-Theory Methods doi: 10.1080/03610926.2011.592257 contributor: fullname: Singh – volume: 43 start-page: 1552 year: 2014 ident: ref_15 article-title: A generalized class of ratio type exponential estimators of population mean under linear transformation of auxiliary variable publication-title: Commun. Stat.-Simul. Comput. doi: 10.1080/03610918.2012.736579 contributor: fullname: Grover – volume: 45 start-page: 218 year: 2003 ident: ref_38 article-title: Ratio estimators in stratified random sampling publication-title: Biom. J. doi: 10.1002/bimj.200390007 contributor: fullname: Kadilar – volume: 52 start-page: 2610 year: 2023 ident: ref_33 article-title: An efficient family of robust-type estimators for the population variance in simple and stratified random sampling publication-title: Commun. Stat.-Theory Methods doi: 10.1080/03610926.2021.1955388 contributor: fullname: Zaman – volume: 20 start-page: 3325 year: 1991 ident: ref_4 article-title: On certail methods of improving ratio and regression estimators publication-title: Commun. Stat.-Theory Methods doi: 10.1080/03610929108830705 contributor: fullname: Rao – ident: ref_28 doi: 10.1371/journal.pone.0246947 – volume: 2022 start-page: 3263022 year: 2022 ident: ref_31 article-title: A Simulation Study: Population Distribution Function Estimation Using Dual Auxiliary Information under Stratified Sampling Scheme publication-title: Math. Probl. Eng. contributor: fullname: Ahmad – volume: 83 start-page: 639 year: 1996 ident: ref_9 article-title: A new estimator for the finite population distribution function publication-title: Biometrika doi: 10.1093/biomet/83.3.639 contributor: fullname: Wang – volume: 12 start-page: 282 year: 2018 ident: ref_23 article-title: An improved class of estimators of finite population mean in simple random sampling using an auxiliary attribute publication-title: J. Stat. Theory Pract. doi: 10.1080/15598608.2017.1349012 contributor: fullname: Haq – volume: 30 start-page: 262 year: 1940 ident: ref_1 article-title: The estimation of the yields of cereal experiments by sampling for the ratio of grain to total produce publication-title: J. Agric. Sci. doi: 10.1017/S0021859600048012 contributor: fullname: Cochran – volume: 102 start-page: 51 year: 2014 ident: ref_16 article-title: New ratio and difference estimators of the finite population distribution function publication-title: Math. Comput. Simul. doi: 10.1016/j.matcom.2013.04.027 contributor: fullname: Munoz – volume: 8 start-page: 27 year: 2018 ident: ref_22 article-title: Improved estimation of population mean using information on size of the sample publication-title: Am. J. Math. Stat. contributor: fullname: Gupta |
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| SubjectTerms | Accuracy Bias cumulative distribution function Distribution (Probability theory) Distribution functions Educational evaluation Efficiency Error analysis Estimators Forecasts and trends Literature reviews Mathematical analysis Methods percentage relative efficiency Population distribution post-stratification Random sampling Sample size Stratification stratified sampling Students Surveys Symmetry Variables |
| Title | Advancing Survey Sampling Efficiency under Stratified Random Sampling and Post-Stratification: Leveraging Symmetry for Enhanced Estimation Accuracy in the Prediction of Exam Scores |
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