Journals / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 2

Modified systematic sampling in the presence of linear trend

Pages
417–442
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Further, efficiency of MSS with respect to CSS is obtained for different sample size.

📌 3 Key Takeaways

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Objective & Hypothesis:A new systematic sampling design called “Modified Systematic Sampling (MSS)”, proposed by [2] is more general than Linear Systematic Sampling (LSS) and Circular Systematic Sampling (CSS).
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Key Findings & Data:In the present paper, this scheme is further extended for populations having a linear trend.
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Conclusion & Impact:Further, efficiency of MSS with respect to CSS is obtained for different sample size.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:LSS · CSS · MSS

Abstract

A new systematic sampling design called “Modified Systematic Sampling (MSS)”, proposed by [2] is more general than Linear Systematic Sampling (LSS) and Circular Systematic Sampling (CSS). In the present paper, this scheme is further extended for populations having a linear trend. Expressions for mean and variance of sample mean are obtained for the population having perfect linear trend among population values. Expression for the average variance is also obtained for super population model. Further, efficiency of MSS with respect to CSS is obtained for different sample size.

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Cite This Article

SHABBİR, J., KHAN, Z. (2022). Modified systematic sampling in the presence of linear trend. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 2, 417–442. https://ajindex.com/articles/530219

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