The phrase "adequate model for each" is correct and usable in written English.
It can be used in contexts where you are discussing models or frameworks that are sufficient or suitable for different subjects or cases.
Example: "In our research, we developed an adequate model for each of the variables we were studying to ensure comprehensive analysis."
Alternatives: "suitable model for each" or "satisfactory model for each".
We used both backward and forward stepwise model simplification, based on AIC to find a minimal adequate model for each response, using the function stepAIC (MASS package73).
The backward elimination procedure was used to select a minimally adequate model for each province.
The minimal adequate model for each taxon, i.e. that having the lowest AIC, is shown in bold.
The leading approach to automated modeling, "compositional modeling", constructs a simplest adequate model for a question from building blocks ("model fragments") that are designed by knowledge engineers.
We have seen that each of these accounts provides an adequate model for some doxastic situation (plausibility measures do so trivially).
They represented an adequate model for managing the complex problems that appeared as a result of the constant demographical increase.
However, mice develop partial resistance to homologous challenge infections after cure of a primary infection, which converts this subject into an adequate model for the study of the mechanisms generating resistance against intestinal helminths.
It has been found to be an adequate model for representing solid liquid vapor equilibrium and thermal property data for strongly non-ideal systems.
The system studied admits generalizations and may itself serve as an adequate model for various technical applications: civil engineering, ship building etc.
A more adequate model for prediction of the combined effect of t, T and pH on the rate coefficient for thermal inactivation is needed.
Thus, the proposed methodology is satisfactory for oxidation processes of wastewater treatment plants, where the development of an adequate model for control design is usually too costly.
