Table 6 Model comparison on diet groups (signal in counts & zeros, effect size +100%)

Poisson

(loglik)

1.00 (\(\pm 0.00\))

0.98 (\(\pm 0.00\))

0.12 (\(\pm 0.00\))

0.54 (\(\pm 0.01\))

Poisson

(llperm)

0.49 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.48 (\(\pm 0.01\))

0.78 (\(\pm 0.01\))

ZIPoisson

(loglik)

0.99 (\(\pm 0.00\))

0.93 (\(\pm 0.00\))

0.11 (\(\pm 0.00\))

0.53 (\(\pm 0.01\))

ZIPoisson

(llperm)

0.39 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.39 (\(\pm 0.01\))

0.75 (\(\pm 0.01\))

NegativeBinomial

(loglik)

0.17 (\(\pm 0.00\))

0.02 (\(\pm 0.00\))

0.32 (\(\pm 0.01\))

0.66 (\(\pm 0.01\))

NegativeBinomial

(llperm)

0.44 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.43 (\(\pm 0.01\))

0.73 (\(\pm 0.01\))

ZINegativeBinomial

(loglik)

0.59 (\(\pm 0.00\))

0.15 (\(\pm 0.00\))

0.37 (\(\pm 0.01\))

0.69 (\(\pm 0.01\))

ZINegativeBinomial

(llperm)

0.42 (\(\pm 0.00\))

0.05 (\(\pm 0.00\))

0.42 (\(\pm 0.01\))

0.74 (\(\pm 0.01\))

Binomial

(loglik)

1.00 (\(\pm 0.00\))

0.98 (\(\pm 0.00\))

0.12 (\(\pm 0.00\))

0.54 (\(\pm 0.01\))

Binomial

(llperm)

0.49 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.48 (\(\pm 0.01\))

0.78 (\(\pm 0.01\))

ZIBinomial

(loglik)

0.99 (\(\pm 0.00\))

0.93 (\(\pm 0.00\))

0.11 (\(\pm 0.00\))

0.53 (\(\pm 0.01\))

ZIBinomial

(llperm)

0.39 (\(\pm 0.00\))

0.05 (\(\pm 0.00\))

0.39 (\(\pm 0.01\))

0.75 (\(\pm 0.01\))

BetaBinomial

(loglik)

0.28 (\(\pm 0.01\))

0.10 (\(\pm 0.00\))

0.19 (\(\pm 0.01\))

0.64 (\(\pm 0.01\))

BetaBinomial

(llperm)

0.20 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.20 (\(\pm 0.01\))

0.64 (\(\pm 0.01\))

ZIBetaBinomial

(loglik)

0.39 (\(\pm 0.00\))

0.05 (\(\pm 0.00\))

0.39 (\(\pm 0.01\))

0.72 (\(\pm 0.01\))

ZIBetaBinomial

(llperm)

0.41 (\(\pm 0.00\))

0.05 (\(\pm 0.00\))

0.41 (\(\pm 0.01\))

0.73 (\(\pm 0.01\))