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Wagner observed that the field of robust statistics can provide tools here, since robust estimators (medians, trimmed means, median absolute deviations, etc). provide formal guarantees on the degree to which perturbed data can have an effect on aggregate results.
In this work, we present the FM3 Proof Sketch aggregation protocol, which efficiently and securely computes various approximate order statistics including medians, median absolute deviations, quantiles, ranks, and frequent items.
Ninety-six participants (50 in group 1 using the metric system, and 46 in group 2 using the non-metric system) estimated height, weight, and distance of various objects; aggregated estimates of each group were more likely to approach accurate answers than were individual estimates, especially when the aggregates were calculated using medians and median absolute deviations.
After excluding these extracts, we calculated 2 median absolute deviations from the median B-score.
COPA and OS statistics were derived from the t-statistic by replacing the mean and standard errors with the median and median absolute deviations, respectively.
COPA and OS statistics were derived from the t-statistic by replacing the mean and standard errors used in the t-statistic with the median and median absolute deviations, respectively.
Similar(29)
Chung, N. et al. Median absolute deviation to improve hit selection for genome-scale RNAi screens.
For the same reason, we used the median absolute deviation (mad), which represents the median of the absolute deviation from the median, as a measure of statistical dispersion.
The median absolute deviation error test was applied to interpret the results.
The results are presented as median values±M.A.D. (median absolute deviation) as indicated by error bars, and n is the number of animals.
The proposed algorithm is based on the robust median absolute deviation sample dispersion measure to locate dataset outliers.
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