. Author manuscript; available in PMC: 2010 Aug 4.

Published in final edited form as: J Am Stat Assoc. 2010 Jun 1;105(490):621–633. doi: 10.1198/jasa.2010.tm09313

Table 3.

Estimated parameters in the colon carcinogenesis data. The standard errors were estimated by bootstrap, and the p-values are for the null hypothesis that the parameter = 0.0. Here the two principal component values have α₁ = (α₁₁, α₁₂)^T and α₂ = (α₂₁, α₂₂)^T. The subscripts ”fish”, ”buty” and ”prolif” refer to effects of a fish oil diet, butyrate supplementation and mean cell proliferation, respectively.

	α₁₁	α₁₂	α₂₁	α₂₂
Estimate	−0.0004	0.0235	−0.0480	0.9988
SE	0.0108	0.1003	0.1653	0.0767
p-value	0.9719	0.8145	0.7714	0.0000
	β₀	β_fish	β_buty	β_prolif
Estimate	0.2627	0.0514	0.0223	−0.0062
SE	0.0247	0.0193	0.0201	0.0135
p-value	0.0000	0.0078	0.2667	0.6484
	θ_fish	θ_buty	θ_prolif
Estimate	0.4208	−0.7143	−0.5592
SE	0.2847	0.2419	0.2005
p-value	0.1394	0.0031	0.0053