The phrase "analysed using the formula" is correct and usable in written English.
It can be used when describing a method or process of analysis that involves a specific formula.
Example: "The data was analysed using the formula to determine the average growth rate over the past five years."
Alternatives: "evaluated with the formula" or "assessed through the formula".
As degrees of freedom calculated using standard metrics for t-tests are overly liberal in the analysis of multiply imputed data, we adjusted the degrees of freedom for our analyses using the formula develop by Barnard and Rubin [ 88].
The sample size calculation was based on requirements of the multiple correspondence analyses using the formula N = Πi = 1 à n (M i)) where M i) is the number of modalities for variable i and n is the number of variables studied simultaneously.
Thus, both ORs were combined into one common OR that was used in all subsequent analyses using the formulae shown in the Additional file 1.
Because of the difference in scoring, different analyses were required: The reliability of the SCIP-A was analysed using the KR-20 formula: this provides an estimate of the degree of measurement error in the scale score ranging from 1.0 (no error) to 0.0 (total error).
To evaluate the drainage basin morphometry, various parameters like stream number, stream order, stream length, stream length ratio, bifurcation ratio, basin length, basin area, relief ratio, elongation ratio, drainage density, stream frequency, form factor and circulatory ratio, etc., have been analysed using the standard mathematical formulae given in Table 1.
To evaluate the basin morphometry, various parameters like stream number, stream order, stream length, stream length ratio, bifurcation ratio, basin length, basin area, relief ratio, elongation ratio, length of overland flow, drainage density, stream frequency, drainage texture, form factor and circulatory ratio have been analysed using the standard mathematical formulae given in Table 1.
Sensitivity analyses using the alternate formula (calcium + 0.019 * [42−albumin]) [5] showed higher corrected calcium levels for each category of MSy or NCCM components, but similar trends and levels of statistical significance were observed, which leads the same conclusions (data available upon request).
To illustrate how the change in minor surgery leads to a change in referrals, we further analysed the correlation derived from the multilevel multinomial regression analyses using the following formula (Y - Ymean)/SDY = r * (X - Xmean)/SDX.
Therefore we had to estimate the mean and standard deviations for meta-analyses using the available formulae, assuming a normal distribution of data.
Analyses using the Kuder-Richardson formula (K-20), developed specifically to test the reliability of dichotomous scales (true/false questions), were also carried out, and the results were almost identical to those obtained using the Cronbach's α.
