1 | R² | SSR/SST | Squared multiple correlation coefficient | Goodness of Fit | Large samples |
2 | R² (adj.) |
| Adjusted R² | Goodness of Fit + Parsimony | Large samples |
3 | RMSE |
| Root mean squared error | Goodness of Fit | Large samples |
4 | MS (LOF) |
| Mean Square Lack of Fit | Lack of Fit | Any sample size |
5 | PRESS |
| Prediction Sum of Squares | Prediction | Any sample size |
6 | R²-prediction |
| Allen (1971b) | Prediction | Any sample size |
7 | Adequate Precision |
| This is a signal-to-noise ratio | Prediction | Any sample size |
8 | Cp |
| Mallow’s Cp (1973) | Prediction | Large sample size |
9 | Cp -p |
| Mallow’s Cp (1973) | Prediction | Large sample size |
10 | AIC |
| Akaike (1973) | Goodness of Fit + Parsimony | Large sample size |
11 | SBC |
| Schwarz’s Bayesian Criterion (1978) | Goodness of Fit + Parsimony | Large sample size |
12 | BIC |
| Sawa (1978) | Goodness of Fit + Parsimony | Small sample size |
13 | APCp |
| Amemiya’s Prediction Criterion () | Prediction | Any size |
14 | AICc |
| Corrected AIC, ugiura (1978) | Goodness of Fit + Parsimony | Small sample size |
15 | HQ |
| Hannan and Quinn (1979) | Goodness of Fit + Parsimony | Any sample size |
16 | HQc |
| Mcquarrie and Tsai (1998) | Goodness of Fit + Parsimony | Small sample size |
17 | KIC |
| Cavanaugh J. E. (1999) | Goodness of Fit + Parsimony | Large sample size |
18 | KICc |
| Bekara M (2004) | Goodness of Fit + Parsimony | Small sample sizes |
19 | MKIC |
| Cavanaugh J. E. (2004) | Goodness of Fit + Parsimony | Small sample sizes |
20 | MAIC |
| Fujikoshi and Satoh (1997) | Goodness of Fit + Parsimony | Small sample sizes |
21 | TIC |
| Takeuchi Information Criterion () | Goodness of Fit + Parsimony | Large sample size |
22 | Sp |
| Hocking (1976) | Prediction | Large sample size |
23 | Jp |
| Hocking (1976), Final Prediction Error | Prediction | Large sample size |