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Goodness-of-fit statistics, discrepancies and robust designs

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  • Hickernell, Fred J.

Abstract

The Cramer-Von Mises goodness-of-fit statistic, also known as the -star discrepancy, is the optimality criterion for an experimental design for the location model with misspecification. This connection between goodness-of-fit statistics, discrepancies and experimental designs is shown to hold in greater generality.

Suggested Citation

  • Hickernell, Fred J., 1999. "Goodness-of-fit statistics, discrepancies and robust designs," Statistics & Probability Letters, Elsevier, vol. 44(1), pages 73-78, August.
    • Handle: RePEc:eee:stapro:v:44:y:1999:i:1:p:73-78
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    Cited by:

    1. Chiu, Sung Nok & Liu, Kwong Ip, 2009. "Generalized Cramér-von Mises goodness-of-fit tests for multivariate distributions," Computational Statistics & Data Analysis, Elsevier, vol. 53(11), pages 3817-3834, September.
    2. A. M. Elsawah, 2021. "Multiple doubling: a simple effective construction technique for optimal two-level experimental designs," Statistical Papers, Springer, vol. 62(6), pages 2923-2967, December.
    3. Sung Nok Chiu & Kwong Ip Liu, 2013. "Stationarity Tests for Spatial Point Processes using Discrepancies," Biometrics, The International Biometric Society, vol. 69(2), pages 497-507, June.
    4. E. Androulakis & C. Koukouvinos, 2013. "A new variable selection method for uniform designs," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(12), pages 2564-2578, December.
    5. Fasheng Sun & Jie Chen & Min-Qian Liu, 2011. "Connections between uniformity and aberration in general multi-level factorials," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 73(3), pages 305-315, May.

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