Table 2.

Measures of statistical goodness-of-fit

Acronym	Full name	Formula
−2LL	−2 × maximised  log  − likelihood	−2LL = 2 log(L)
AIC	Akaike information criterion	AIC = 2k − 2 log(L)
AICc	Akaike information criterion (corrected)	$\mathit{\text{AICc}}=2k-2\mathit{log}\left(L\right)+\frac{2k^2+2k}{n-k-1}$
HQC	Hannan – Quinn information criterion	HQC = 2klog(log(n)) − 2 log (L)
BIC	Bayesian information criterion	BIC = log(n)k − 2 log(L)

Key:k Number of model parameters; L Maximized likelihood function; log Natural logarithm; n Number of data points (sample size)