Table 2. Model comparisons with unconstrained size correlation versus natural, log and logistic scaled and model reductions according to either species or year.
| Model or Structure of correlation | Tot Df | Deviance | Chisq | Df | Pr(>Chisq) |
| Model comparison, cod year 2009 quarter 4 | |||||
| (SS1) Unconstrained | 993 | −122858.25 | |||
| (SS2) Natural | 6 | −122607.85 | 250.40 | 987 | 1.000 |
| (SS3) Log | 6 | −122700.71 | 157.54 | 987 | 1.000 |
| (SS4) Logistic | 8 | −122693.00 | 165.25 | 985 | 1.000 |
| Model comparison, cod year 2010 quarter 4 | |||||
| (SS1) Unconstrained | 993 | −133760.09 | |||
| (SS2) Natural | 6 | −133241.87 | 518.22 | 987 | 1.000 |
| (SS3) Log | 6 | −133336.41 | 423.68 | 987 | 1.000 |
| (SS4) Logistic | 8 | −133325.86 | 434.23 | 985 | 1.000 |
| Model reduction: cod+whiting year 2009 quarter 4 by structure of species correlation | |||||
| (MS1) Unconstrained species correlation | 1451 | −226997.63 | |||
| (MS2) Common correlation function | 1449 | −226984.52 | 13.11 | 2 | <0.010 |
| (MS3) Separable | 10 | −226433.58 | 550.94 | 1439 | 1.000 |
| (MS4) Independence | 9 | −226430.51 | 3.08 | 1 | 0.079 |
| Model reduction: cod year 2009+2010 quarter 4 by structure of year correlation | |||||
| (MY1) Unconstrained year correlation | 2036 | −256427.46 | |||
| (MY2) Common correlation function | 2034 | −256423.99 | 3.47 | 2 | 0.176 |
| (MY3) Separable | 10 | −256055.89 | 368.10 | 2024 | 1.000 |
| (MY4) Independence | 9 | −256028.29 | 27.59 | 1 | 0.000 |