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Cochran's rule for simple random sampling

Author

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  • R. A. Sugden
  • T. M. F. Smith
  • R. P. Jones

Abstract

Cochran's rule for the minimum sample size to ensure adequate coverage of nominal 95% confidence intervals is derived by using the Edgeworth expansion for the distribution function of the standardized sample mean. The rule is extended for confidence intervals based on the Studentized sample mean. The performance of the rule and Edgeworth approximations for smaller sample sizes are examined by simulation.

Suggested Citation

  • R. A. Sugden & T. M. F. Smith & R. P. Jones, 2000. "Cochran's rule for simple random sampling," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(4), pages 787-793.
    • Handle: RePEc:bla:jorssb:v:62:y:2000:i:4:p:787-793
    DOI: 10.1111/1467-9868.00264
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    1. KM Atikur Rahman & Md. Abu Naim Shorkar, 2021. "Analyzing Association Between Public Green Space and Self-Esteem Linked to Social Acceptance for Elderly Population in Dhaka," SAGE Open, , vol. 11(4), pages 21582440211, October.
    2. Ferraz, V.R.S. & Moura, F.A.S., 2012. "Small area estimation using skew normal models," Computational Statistics & Data Analysis, Elsevier, vol. 56(10), pages 2864-2874.
    3. Azevedo Neves André Felipe & Nascimento Silva Denise Britz do & Silva Moura Fernando Antônio da, 2020. "Skew normal small area time models for the Brazilian annual service sector survey," Statistics in Transition New Series, Polish Statistical Association, vol. 21(4), pages 84-102, August.
    4. André Felipe Azevedo Neves & Denise Britz do Nascimento Silva & Fernando Antônio da Silva Moura, 2020. "Skew normal small area time models for the Brazilian annual service sector survey," Statistics in Transition New Series, Polish Statistical Association, vol. 21(4), pages 84-102, August.
    5. Dai, Wen & Robinson, John, 2001. "Empirical saddlepoint approximations of the Studentized mean under simple random sampling," Statistics & Probability Letters, Elsevier, vol. 53(3), pages 331-337, June.
    6. Mehereen Akhter & Sayed Mohammad Nazim Uddin & Nazifa Rafa & Sanjida Marium Hridi & Chad Staddon & Wayne Powell, 2020. "Drinking Water Security Challenges in Rohingya Refugee Camps of Cox’s Bazar, Bangladesh," Sustainability, MDPI, vol. 12(18), pages 1-26, September.
    7. Fernando A. S. Moura & André Felipe Neves & Denise Britz do N. Silva, 2017. "Small area models for skewed Brazilian business survey data," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 180(4), pages 1039-1055, October.
    8. Enrico Fabrizi & Maria Ferrante & Carlo Trivisano, 2013. "Small area estimation of labor productivity for the Italian manufacturing SME cross-classified by region, industry and size," ERSA conference papers ersa13p894, European Regional Science Association.

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