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An inductive order construction for the difference of two dependent proportions

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  • Wang, Weizhen

Abstract

This paper concerns interval estimation for the difference of two dependent proportions. An order on the sample space is constructed using an inductive method; then the smallest one-sided 1−α confidence interval under the order is derived. This interval is admissible under the set inclusion criterion, and is illustrated in two examples. An R-code is used to compute the proposed order and interval.

Suggested Citation

  • Wang, Weizhen, 2012. "An inductive order construction for the difference of two dependent proportions," Statistics & Probability Letters, Elsevier, vol. 82(8), pages 1623-1628.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:8:p:1623-1628
    DOI: 10.1016/j.spl.2012.03.035
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    References listed on IDEAS

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    1. Quinn McNemar, 1947. "Note on the sampling error of the difference between correlated proportions or percentages," Psychometrika, Springer;The Psychometric Society, vol. 12(2), pages 153-157, June.
    2. Chris J. Lloyd & Paul Kabaila, 2003. "On the Optimality and Limitations of Buehler Bounds," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 45(2), pages 167-174, June.
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