Table 5 Model comparison on diet groups (signal in counts, effect size + 100%)

Poisson

(loglik)

0.99 (\(\pm 0.00\))

0.98 (\(\pm 0.00\))

0.09 (\(\pm 0.00\))

0.52 (\(\pm 0.01\))

Poisson

(llperm)

0.29 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.28 (\(\pm 0.01\))

0.72 (\(\pm 0.01\))

ZIPoisson

(loglik)

0.99 (\(\pm 0.00\))

0.93 (\(\pm 0.00\))

0.11 (\(\pm 0.00\))

0.52 (\(\pm 0.01\))

ZIPoisson

(llperm)

0.40 (\(\pm 0.00\))

0.05 (\(\pm 0.00\))

0.40 (\(\pm 0.01\))

0.77 (\(\pm 0.01\))

NegativeBinomial

(loglik)

0.11 (\(\pm 0.00\))

0.02 (\(\pm 0.00\))

0.21 (\(\pm 0.01\))

0.66 (\(\pm 0.01\))

NegativeBinomial

(llperm)

0.26 (\(\pm 0.00\))

0.05 (\(\pm 0.00\))

0.26 (\(\pm 0.01\))

0.70 (\(\pm 0.01\))

ZINegativeBinomial

(loglik)

0.49 (\(\pm 0.01\))

0.15 (\(\pm 0.00\))

0.28 (\(\pm 0.01\))

0.63 (\(\pm 0.01\))

ZINegativeBinomial

(llperm)

0.34 (\(\pm 0.00\))

0.05 (\(\pm 0.00\))

0.34 (\(\pm 0.01\))

0.75 (\(\pm 0.01\))

Binomial

(loglik)

0.99 (\(\pm 0.00\))

0.98 (\(\pm 0.00\))

0.09 (\(\pm 0.00\))

0.52 (\(\pm 0.01\))

Binomial

(llperm)

0.29 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.28 (\(\pm 0.01\))

0.72 (\(\pm 0.01\))

ZIBinomial

(loglik)

0.99 (\(\pm 0.00\))

0.93 (\(\pm 0.00\))

0.11 (\(\pm 0.00\))

0.52 (\(\pm 0.01\))

ZIBinomial

(llperm)

0.41 (\(\pm 0.00\))

0.05 (\(\pm 0.00\))

0.40 (\(\pm 0.01\))

0.76 (\(\pm 0.01\))

BetaBinomial

(loglik)

0.14 (\(\pm 0.00\))

0.09 (\(\pm 0.00\))

0.09 (\(\pm 0.00\))

0.59 (\(\pm 0.01\))

BetaBinomial

(llperm)

0.08 (\(\pm 0.00\))

0.05 (\(\pm 0.00\))

0.08 (\(\pm 0.00\))

0.59 (\(\pm 0.01\))

ZIBetaBinomial

(loglik)

0.33 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.33 (\(\pm 0.01\))

0.71 (\(\pm 0.01\))

ZIBetaBinomial

(llperm)

0.34 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.35 (\(\pm 0.01\))

0.74 (\(\pm 0.01\))