Method | Description | How to calculate the statistic* |
---|---|---|
SD-b | Standard deviation based on beta values | SD = sqrt(1/N ∑(Xi-mean(X))2) |
SD-m | Standard deviation based on M values | SD = sqrt(1/N ∑(Xi-mean(X))2) |
MAD | Median absolute deviation of beta values | median(|Xi-median(X)|) |
DIP | Measure of unimodality in a sample | The max difference, over all sample points, between the empirical distribution function and the unimodal distribution function that minimizes that maximum difference |
Precision | Inverse precision parameter | 1/phi = 1/(mean(X)(1-mean(X))/SD2-1) |
BQ-GOF | Beta Quantile Goodness-of-fit | Sum the absolute differences, over 25 quantile points, between the empirical distribution function and the expected beta distribution function |
TM-GOF | Transformed Moment Goodness-of-fit | The Euclidean distance between the empirical standardized transformed moments and the expected center of the transformed moments (1/2,sqrt(1/12)) |
TQ-GOF | Transformed Quantile Goodness-of-fit | Sum the absolute differences, over 25 quantile points, between the empirical cumulative distribution function and the expected cumulative beta distribution function (uniform distribution function) |
BR | Best rank of 8 single filter methods | The best rank value of 8 single filter methods (the highest rank value) |
AR | Average of the top 2 ranks | The average of the best two rank values of 8 single filter methods |
WAR | Weighted average of the top 4 ranks | The weighted average of the best four rank values of 8 single filter methods (weight = 4:3:2:1) |