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. 2009 Dec 9;8:56. doi: 10.1186/1476-069X-8-56

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Copyright ©2009 Dropkin; licensee BioMed Central Ltd.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Simulated LRT at H₀: (β, σ, τ) = (0,0,τ₀) with fitted γ and χ²: stomach. At a given probability value, the red dot shows the corresponding quantile of the simulated values (N = 1000) of LRT = for the stomach with the null hypothesis H₀: (β₀,σ₀,τ₀) = (0,0, arbitrary). For this H₀, = LRT_2p-con. The black line shows quantiles of the fitted gamma distribution γ, with shape s and rate r. The blue line shows quantiles of the χ²(3 d.f.) distribution. The horizontal lines marked 8.960 and 7.815 show the 0.95 quantiles of γ and χ²(3 d.f.).

Inline graphic — Simulated LRT at H₀: (β, σ, τ) = (0,0,τ₀) with fitted γ and χ²: stomach. At a given probability value, the red dot shows the corresponding quantile of the simulated values (N = 1000) of LRT = for the stomach with the null hypothesis H₀: (β₀,σ₀,τ₀) = (0,0, arbitrary). For this H₀, = LRT_2p-con. The black line shows quantiles of the fitted gamma distribution γ, with shape s and rate r. The blue line shows quantiles of the χ²(3 d.f.) distribution. The horizontal lines marked 8.960 and 7.815 show the 0.95 quantiles of γ and χ²(3 d.f.).