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Approximate tests in unbalanced two-way random models without interaction

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Abstract

In the presence of non-normality, we consider testing for the significance of the variance components in the unbalanced two-way random model without interaction. The approximate test is based on the F-statistic for this model. The asymptotic distribution of the F-statistic is derived as the number of treatments tends to infinity while the number of observations for a treatment in any block takes value from a finite set of positive integers. Robustness of the approximate test is given.

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Authors and Affiliations

  1. Mathematics Department, Çanakkale Onsekiz Mart University, 17100, Çanakkale, Turkey

    Bilgehan Güven

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  1. Bilgehan Güven
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Correspondence to Bilgehan Güven.

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Güven, B. Approximate tests in unbalanced two-way random models without interaction. Stat Papers 53, 753–766 (2012). https://doi.org/10.1007/s00362-011-0378-1

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  • DOI: https://doi.org/10.1007/s00362-011-0378-1

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