The phrase "across the different specifications" is correct and usable in written English.
It can be used when discussing variations or comparisons among multiple specifications in a technical or formal context.
Example: "The results varied significantly across the different specifications, indicating the need for further analysis."
Alternatives: "among the various specifications" or "throughout the different specifications".
Results remain consistent across the different specifications.
19The rest of the covariates do not change relevantly across the different specifications.
The results are very stable across the different specifications, which highlights the robustness of the results.
The overall coherence of the results across the different specifications used (i.e. OLS, FGLS with AR1 correction and IV models), illustrates the robustness of the empirical approach.
One of our most striking findings is that the described pattern of results across the different specifications is remarkably consistent across the diverse set of countries in our sample.1 In fact, most of the IV models lead to larger estimates of the returns to skills in every single participating country.
Using a common estimator and the different specifications proposed leads to the result that efficiency rankings across papers can diverge quite significantly, with several countries being highly efficient in one specification and highly inefficient in another.
The results indicate that the coefficient estimates of the instrumental variables are consistently estimated and are almost identical across the different model specifications.
The national average temporal trend remained negative and statistically significant across different specifications of the statistical model, with larger temporal declines in the estimated risk based on a nonlinear temperature mortality exposure response function and under larger temperature lags (see Supplemental Material, Figure S2A).
Monte Carlo experiments are performed to compare these algorithms across different specifications of the model including different marginal distributions and degrees of persistence for the instantaneous variance.
Furthermore, the results are quite robust across different specifications.
This result is very robust across many different specifications.
