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As the bacterial abundances were not normally distributed, inverse normal transformation was applied to the traits before the heritability analysis.

Residuals were thus derived for each trait and were normalized using an inverse normal transformation, as previously advocated [ 22, 23].

The data underwent inverse normal transformation to generate a normally distributed variable.

The empirical distribution of the healthy subjects was considered to perform the z-normalization using the rank-based inverse normal transformation [ 36].

For traits deviating from normality, we conducted the rank-based inverse normal transformations (INTs) using SAS ahead of association tests [ 64].

Since neither factor scale scores nor the total sum score were normally distributed, these variables were transformed using inverse normal transformations prior to calculating heritabilities.

where is the inverse normal cdf.

The Inverse Normal method can be considered as an adaptive generalization of classical group sequential designs.

We demonstrate, how the Inverse Normal method can be applied to Cox regression analysis.

The use of the Inverse Normal method for censored survival data was demonstrated only for the logrank statistic.

Besides the given input, we assume that the second object is assembled to the base from inverse normal direction of the horizontal surface.

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