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. 2017 May 30;7(13):4891–4906. doi: 10.1002/ece3.2979

Table 2.

Two‐way crossed ANOVA testing for differences in fish diversity between “Side” (Si, fixed factor) and “Marina” (Ma, random factor) according to each sampling method at Gran Canaria Island

UVC BC FT
H Δ* Rao H Δ* Rao H Δ* Rao
Cochran test No transformation p = .81 (n.s.) No transformation p = .12 (n.s.) No transformation p = .10 (n.s.) No transformation p = .26 (n.s.) No transformation p = .09 (n.s.) No transformation p = .24 (n.s.) No transformation p = .17 (n.s.) No transformationp = .052 (n.s.) No transformation p = .056 (n.s.)
Source df MS F p MS F p MS F p MS F p MS F p MS F p df MS F p MS F p MS F p
Ma 1 0.54 5.8 .025 2.1 0.2 .6 1e−3 0.27 .6 0.6 5.4 .03 0.16 4.3 .04 4e−3 2.2 .14 1 0.7 5.7 .06 21 3.6 .06 0.2 6.07 .02
Si 1 0.22 2.3 .13 215 26 <.001 6e−4 0.01 .8 0.5 4.34 .05 1.59 42 <.001 0.03 15 7e 4 1 0.8 5.9 .01 70 11 .001 0.2 6.65 .01
Ma × Si 1 1.60 17 4e 4 5.1 0.6 .4 5e−3 1.56 .2 0.02 0.20 .6 0.03 1.0 .27 3e3 1.5 .23 1 3.0 22 <.001 94 15 <.001 0.7 17.9 <.001
Residual 20 0.09 8.1 3e−3 0.12 0.03 0.001 44 0.1 5.9 4e−3
Pairwise tests PR TA PR TA PR TA PR TA
t p t p t p t p t p t p t p t p
I versus O 1.8 .08 4 <.001 1 .1 5 <.001 0.3 .7 5 <.001 1.1 .24 4.8 <.001

Pairwise tests are also included. PR = Puerto Rico; TA = Taliarte. I = “inner”; O =  “outer.” Significant values are highlighted in bold. Significance level (α) = .05; when homogeneity of variance was still violated despite transformation α = .01.