| Compilation | first model | second model | third model | fourth model |
| Union 2.1 | wCDM Hypergeometric | Cardassian | ϕCDM | flat |
| JLA | wCDM Hypergeometric | MTL | ϕCDM | ΛCDM |
| Union 2.1 + GRBs | ΛCDM | ϕCDM | Cardassian | flat |
| Pantheon | wCDM Hypergeometric | Cardassian | flat | ϕCDM |