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On the other hand, these programmes will have little effect on the analyses because of the small number of working graduates.14.14
Adjusting for intragroup correlation had little effect on the analyses.
Importantly, adding these points has no effect on the analyses, and the original pattern of investment for small groups remains the same (in new Figure 7).
Clearly, exclusion of the distant taxa, Sordaria and Podospora, had a positive effect on the analyses, but only with this combination of methods.
This did not have any effect on the analyses of our results, as non-mating was randomly distributed across all mating pairs so that excluding them was not statistically biasing any combination (χ = 126; p = 0.32).
It is possible that these screens failed to identify all GroEL clients in the E. coli proteome; however, we do not think that a (presumably small) proportion of unclassified clients among our set of nonclient proteins will have a serious effect on the analyses reported below if anything, they ought to make the results more conservative.
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The parameters that were found to have profound effects on the analyses include imperfections, boundary conditions and modelling assumptions.
Using different irradiances had only small effects on the analyses and the main conclusions of the study are unaffected by the type of illuminant used in the models.
Although this resulted in exclusion of 9% of the patients from our original study population, this probably had minimal effects on the analyses.
We note that choosing a more stringent expression level cutoff (dashed line in Figure 1 figure supplement 1A and see 'Materials and methods') had a negligible effect on all the analyses described from here on.
We also included ethnicity in the analyses as a potential confounder, but it had no such effect on the interaction analyses.
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