Sentence examples for assumptions were performed from inspiring English sources

Multiple group comparisons for variables that satisfy equal variance and normality assumptions were performed by one-way analysis of variance (ANOVA) with Tukey's post-hoc pairwise comparisons.

Appropriate diagnostic tests to ensure no violation of mathematical assumptions were performed.

A detailed discussion of the underlying assumptions is performed.

A recapitulation and critical analysis of the models and their basic assumptions is performed first, emphasizing their limitations and potential problems arising in their application.

Consequently, a search for an alternative partition of local populations without a-priori assumptions was performed using SAMOVA.

Where possible, sensitivity analysis relative to the assumptions was performed.

In addition, five different types of thermal loading history assumption were performed using the finite element method for discussing the thermal loading history effect.

A Cox proportional hazards model was fitted to all individual prognostic variables to determine their independent effect, and diagnostics for the proportional hazards assumption were performed.

Furthermore, different analyses with perfect bond assumption and slip assumption are performed to investigate concrete CFRP interface interaction in a filled beam.

Fractured surfaces were inspected and fatigue data were analyzed using a standard procedure for calculation of fatigue life with a semi-elliptical surface crack assumption was performed; from which parameters of the Paris law for fatigue fracture were obtained.

The widely-used method of motion compensation interpolation (MCI) based on the piecewise uniform motion assumption is performed by bidirectional motion estimation, which may produce overlapped pixels and holes in the estimated frame.