The phrase "adjusted coefficient" is correct and usable in written English.
It can be used in statistical or mathematical contexts to refer to a coefficient that has been modified or recalibrated based on certain criteria or data.
Example: "The adjusted coefficient of determination provides a more accurate measure of the model's explanatory power after accounting for the number of predictors."
Alternatives: "modified coefficient" or "corrected coefficient".
Analysis of variance demonstrated that a modified quadratic regression model gave the best coefficient of determination (R2 = 0.9615) and adjusted coefficient of determination (Adj. R2 = 0.9273).
The values of coefficient of determination (R2 = 0.960) and adjusted coefficient of determination (RAdj.2 = 0.937) are close to 1, indicating a high correlation between the observed and the predicted values.
Evidence from the Table 9 shows adjusted coefficient of determination (R2) of 90.5%.
The correlation coefficient between the new parameter R and Krumbein's roundness is 0.937 (adjusted coefficient of determination = 0.874).
Moreover, R 2 is in reasonable agreement with the adjusted coefficient R 2 = 91.14% representing a maximum correlation among the practically noted and predicted values.
If there is a difference in the number of raters for experts and non-experts, as is often the case, then an adjusted coefficient alpha should be used for interrater reliability comparison (Kaufman et al. 2008).
The following statistics were used as selection criteria: adjusted coefficient of determination (R2), standard error of the absolute estimate (Syx) and percentage (Syx%), as well as graphical analysis of residuals.
From this analysis, a sixth-degree polynomial was obtained for the relationship, with a strong correlation (r = 0.999836119, p < 0.005, adjusted coefficient of determination = 0.999648855; solid curve in Fig. 7).
PCNM were selected by forward selection using two stopping criteria: (1) the usual alpha significance level (α = 0.01 in this case) and (2) the adjusted coefficient of determination (Radj2) computed with all temporal variables [33].
Of interest, adjusted coefficient for adverse outcome was not significant (p = 0.17), indicating that the difference in weight (about 2 kg) among patients with poor and good outcome at baseline was not statistically different.
A larger adjusted coefficient signifies a variable with greater predictive power for the total QOF score.
