The new multi-sample estimators defined in Section 4 provide similar variance as the ones in [11] but better efficiency, except in the fourth example where the efficiency is slightly worse.
We used all the same assumptions as in the example above, except based on two people instead of one.
The same set of data is considered as in the Example 1 except putting (beta left( x right) = {text{e}}^{{ - left( {delta x} right)}}).
The parameter setting is the same as the first experiment described above, except in this example we set N = 40 and R = 5.
Each of the 11 toxicity response PLS models showed satisfactory-to-excellent performance in the validation by permutation tests (results of validations not shown, except the example given in Appendix 2).
Likewise, snoRNA clusters were not associated with acetyl-H3 peaks (see Fig 5B for an example from chr22), except in the single case on chr5 where the snoRNAs occur at a divergent strand-switch region (see Fig 5C).
However, except in the simplest of examples there is no agreement about the definition of a reference prior distribution and many so-called non-informative priors are not non-informative at all (see section 5.5.1 of [ 29]).
In addition, and except for the examples mentioned below, homologs of PKSs were rare or absent in other Dothideomycetes and often had closest relatives in Sordariomycetes such as Fusarium spp. or Colletotrichum spp., or in Aspergilli (Additional file 20: Supplementary Data 3).
As shown in Table 7, all motifs in Table 2 except for GAGTTCCA were identified in the myeloid example.
In contrast to clinical studies, naturally occurring yeasts have been rarely studied by MALDI-TOF MS, except in the context of fermentations, for example, during winemaking and brewing [19, 72, 87, 88].
