The phrase "assumption we applied the" is not correct and appears to be incomplete.
It could be used in a context where you are discussing a specific assumption that was applied in a particular situation or analysis, but it needs to be completed for clarity.
Example: "The assumption we applied in the analysis was that all variables were independent."
Alternatives: "the assumption we utilized" or "the assumption we considered".
To avoid distributional assumptions, we applied the non-parametric bootstrap [ 19, 20].
To test these assumptions, we apply the following techniques: 1) histogram for distributions of WRES; 2) histogram for individual distribution of WRES; 3) scatterplot of |WRES| versus PRED to check the shape of residual; 4) scatterplot of |WRES| versus PRED conditioned on covariates to screen the covariate effects; 5) autocorrelation of WRES.
For continuous variables that did not fulfill the required assumptions, we applied a penalized smoothing spline function.
Thus, on the assumption of an MNAR mechanism, we applied the multiple imputation (MI) method on scores [ 17 ].
Haplous identified the mutation more efficiently than BEAGLE when we applied the same assumptions that were used in the lymphoma study.
We applied the standard assumptions that the observed reduction in risk behaviour occurs only for the duration of the intervention, and that persons prevented from infection are not subsequently infected.
In our model, we applied the following assumptions of the increasing rate of secondary non-adherence with an increasing number of drugs: 1 to 4 dispensed drugs (DP1-4) patientient has a non-adherence rate of 30%, DP5-9 40%, DP10-14 50%, and DP ≥ 15 60%.
In estimating costs for future years, we applied the cost growth assumptions used by the Congressional Budget Office.
Under the above assumptions, we apply majorizing functions to prove the semilocal convergence of the method (3) to solve nonlinear equations in Banach spaces and establish its convergence theorems in [21].
(ii) Proceed as in (i) with the only difference that in the subcase (2) we apply the assumption that the Gap Conjecture holds for residually polycyclic groups to conclude that this subcase is impossible.
