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An inductive order construction for the difference of two dependent proportions

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  • Wang, Weizhen
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    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.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0167715212001289
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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 82 (2012)
    Issue (Month): 8 ()
    Pages: 1623-1628

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    Handle: RePEc:eee:stapro:v:82:y:2012:i:8:p:1623-1628

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    Related research

    Keywords: Confidence interval; Coverage probability; Multinomial distribution; Order; Set inclusion;

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    1. Quinn McNemar, 1947. "Note on the sampling error of the difference between correlated proportions or percentages," Psychometrika, Springer, 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, 06.
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