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. Author manuscript; available in PMC: 2015 Feb 10.
Published in final edited form as: Behaviour. 2012 Jan 1;149(13-14):1339–1365. doi: 10.1163/1568539X-00003019

Table 6.

Test for significance of random effects of the models for bites and zig-zags at the gravid female, N = 24 (number of fixed effects parameters = 4).

AIC Log(L) Cov. P Test Component tested χ2,* df p
1 2182.54 −1087.27 4
2 2172.70 −1081.35 5 1 vs. 2 Intercept (same variance) 11.84 1 <0.0001
3 2129.25 −1058.63 6 2 vs. 3 Slope (same variance) 45.45 1 <0.0001
4 2145.57 −1066.78 6 2 vs. 4 Intercept (different variance) 29.13 1 <0.0001
5 2133.20 −1058.60 8 4 vs. 5 Slope (different variance) 16.37 2 0.0002
6 2108.31 −1044.16 10 5 vs. 6 COVI,S within behav 28.89 2 <0.0001
7 2088.89 −1030.45 14 6 vs. 7 COVI,S between behav 27.42 4 <0.0001

AIC, Akaike Information Criterion (AIC); log(L), log likelihood; Cov P, the number of covariance parameters; df, degrees of freedom. The final model is indicated in bold.

*

Log-likelihood ratio tests.

Model 1 includes the final fixed effects structure with no random effects. Model 2 contains the same fixed effects as model 1 with random intercepts for bites and zig-zags, assumed to have the same variance. Model 3 contains the same fixed and random effects as model 2 with random slopes for bites and zig-zags, assumed to have the same variance. Model 4 contains the same fixed and random effects as model 2 with random intercepts for bites and zig-zags, allowed to have different variances. Model 5 contains the same fixed and random effects as model 4 with random slopes for bites and zig-zags, which are allowed to have different variances. Model 6 contains the same fixed and random effects as model 5 but random effects within bites and zig-zags are allowed to have nonzero covariance. Model 7 contains the same fixed and random effects as model 6, but allows for all possible covariances between random effects between behaviours (i.e., COVI,I, COVS,S, COVI bites, S zz, COVI zz, S bites).