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The significance of the Pearson correlation coefficient between rA matrices was tested by using a resampling procedure (Mantel test; [34]).

The correlation of the geographic and genetic (1-IBS) distance matrices was tested with Mantel test using the R package ade4 version 1.4 [35].

Significance of the correlations between RD matrices was tested according to a Mantel test [ 30].

The null hypothesis of no agreement in multivariate pattern between the matrices was tested with 999 permutations in PRIMER [42].

In the first design, the relative abundance of proteins from affinity pull-downs with two different chemically modified bead matrices was tested: small-molecule-loaded beads versus ethanol-loaded beads.

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Different kinds of test structures, including single pixels, 3×3 arrays and 8×8 and 16×16 matrices were tested.

Three different polymeric matrices were tested (tetrabutyl ammonium bromide (TBAB -modified Nafion; ocTBAB -modifiediNafionolyethyleneimine (C8-LPEI); and cellulose) in the DET studies.

To discriminate between matrix and desiccation effect, three matrices were tested for their effect on survival of S. meliloti 1021 during desiccation".: (i) nitrocellulose filters, (ii) Ottawa Sand, and (iii) alfalfa seeds.

Several carbon matrices were tested for the oxidation by the self-shorted cell and the suitable one was a sheet of (VGCF+AC+PTFE) (AC: active carbon) prepared by the hot-press method.

Simple, compound symmetry, and heterogeneous compound symmetry covariance matrices were tested, and the approach with the lowest AIC (Akaike Information Criterion) value was used (heterogeneous compound symmetry).

Geographical distance and IBR matrices were tested against matrices of pairwise FST values using a multiple matrix regression with randomization (MMRR) approach (Wang 2013).

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