In contrast, our Theorem 1 provides several closed-form expressions which specify the variance-to-mean relationship for all the members of the Poisson-Tweedie family (left {{mathcal {P}}{mathcal {T}}_{p, mu, lambda }, p geq 1, mu in Omega _{p}, lambda in mathbf {R}_^{1} right }) introduced by formula (3).
Moreover, the effect of contraction speed on SMG/EMG/MMG-to-torque relationships was tested by pair-wise comparisons of the mean relationship curves at different speeds for EMG, MMG and SMG.
First, a quadratic function fits the global mean-variance relationship for biological variation.
We expect that the conclusion of a quadratic mean-variance relationship for biological replication will extend to other experimental settings.
The two fitted curves show the mean-variance relationship for one third of the data with the longest transcripts and with the shortest transcripts.
This TMM normalization was combined with a log2 transform to yield log2-counts per million (log2cpm) using the function 'voom' in the R package limma, which additionally estimates the mean-variance relationship for the log-counts and assigns a weight to each observation based on its predicted variance.
Moreover, extrapolating the mean I/V relationships for these channel currents indicated that Er for the 5- and 18-pS channels were shifted to −38 and −35 mV, which corresponded to PNMDG/ PNa permeability ratios of 0.09 and 0.21, respectively (Fig. 2, A and B).
The mean current voltage relationships for Iss, were not different between the four groups of cells at +60 mV: ISS was 11.1 ± 1.3 pA/pF SED ENDO; 9.8 ± 0.7 pA/pF SED EPI; 10.4 ± 0.6 pA/pF TRN ENDO; 10.4 ± 0.8 pA/pF TRN EPI.
Our second hypothesis that the isolates lie in a fixed order across the regression lines, which would suggest that adaptation results in a shift along the relationship between lesion size and spore production per lesion, was tested by a Spearman's ranking coefficient test (Sprent 1993) of the ranks of the isolate-means along this relationship for the different host cultivars.
