# square-root transformation

## square-root transformation

[′skwer ‚rüt ‚tranz·fər′mā·shən]
(statistics)
A conversion or transformation of data having a Poisson distribution where sample means are approximately proportional to the variances of the respective samples; replacing each measurement by its square root will often result in homogeneous variances.
References in periodicals archive ?
For these data, the square-root transformation considerably reduced the distribution asymmetry, as illustrated in Fig.
The PBI distribution was heavily skewed towards low values and corrected by applying a square-root transformation of the PBI values.
RR = 1 + log(cumexp)], a model using a square-root transformation (e.
Square-root transformation was used in this study because the square-root transformation performed better than logarithm or inverse transformation in terms &statistical criteria
Along with logarithmic transformation, the spreadsheet has square-root transformation for counts of injuries or events, arcsine-root transformation for proportions, and percentile-rank transformation (equivalent to non-parametric analysis) when an appropriate formula for a transformation function is unclear or unspecifiable (Hopkins, 2003c and other pages).
Arcsine square-root transformation was applied to the proportion of branching nodes and square-root transformation to mean first-order rhizome length.
A square-root transformation of the TC, OC, IC and TN content data before derivation of PLSR models reduced non-linearity and improved the homogeneity of residuals.
2007) found that applying a square-root transformation to the measured reference data before PLSR analysis was required to minimise non-linearity in the calibration.
Angular transformation was performed on the percent of mortality by square-root transformation before the analysis.
Because only a log transformation was used in the original analysis, the independent analysis investigated the use of untransformed data or a square-root transformation procedure.
A square-root transformation of the CEC/clay ratio was tested to try to correct for the non-normality of this variable (Fig.
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