'individual normality' is a correct and usable phrase in written English.
It refers to the state, quality, or condition of being normal or conforming to societal norms at an individual level. Example: The concept of individual normality is highly subjective and can vary greatly depending on cultural and societal beliefs.
For example, for pharmacokinetic, growth, and other data, both the response and the regression model are typically transformed to achieve approximate within-individual normality and constant variance on the new scale; however, the choice of transformation is often made subjectively or by default, with adoption of a standard choice such as the log.
To determine to what extent the model's assumptions were met, we checked the functional form of individual changes, normality and homoscedasticity of residuals at all three levels of the models using the statistical software MLwiN (Version 2.10; Rasbash et al. 2009).
Shapiro-Wilk tests were performed with each independent variable and the dependent variable of individual DMFT to determine normality.
The distributions of the summed PAHs as well as the eight individual ones deviated from normality (Kolmogorov Smirnov test p-values < 0.001).
Critical ratios for both skewness and kurtosis for individual items and multivariate normality were less than accepted cutoffs (Jackson et al., 2009).
The paired Monte Carlo permutation test [ 65, 66] based on the observation-level scores provides a convenient approach, as unlike the paired t-test it does not require distributional assumptions (e.g. normality of individual scores) or trust in asymptotic behavior.
Residuals were computed for the final multivariable model and plotted as histograms (to assess any evidence for non normality, including individual outliers) and were also plotted against predicted values (to assess evidence for heteroscedasicity, in the sense of greater spread with increasing value).
The median value for estimated tissue YM was selected due to the non-normality of individual measurements.
Given that the total activity by individual larvae was not normally distributed (by the Shapiro-Wilk normality test), the Wilcoxon Rank Sum Test was used.
Other limitations that are intrinsic to the statistical methodology used in our study include: 1) the use of aggregated data rather than individual data; and 2) the normality assumption, which may not hold for subgroup analysis.
