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Difference between revisions of "Outlier index - DatLab"

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(Changed redirect target from Outlier and skewness index to Outlier-skewness index)
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{{MitoPedia
#REDIRECT [[Outlier-skewness index]]
|abbr=''OI''
|description=An '''outlier index''' (''OI'') is defined for evaluation of skewness in relation to normal distribution. The ''OI'' is derived from [http://www.statisticshowto.com/pearsons-coefficient-of-skewness/ Pearson’s coefficient of skewness] #2:
 
: Pearson’s coefficient of skewness = 3 · (average-median)/SD
 
The ''OI'' introduces the absolute value of the arithmetic mean, ''x'' = ABS(average + median)/2, for normalization:
 
: ''OI'' = (average-median)/(''x'' + SD)
 
: ''OI'' = (average-median)/[ABS(average+median)/2 + SD]
 
At the limit of a zero value of ''x'', the ''OI'' equals Pearson’s coefficient of skewness #2 (without the multiplication factor of 3). At high ''x'' with small standard deviation (SD), the ''OI'' is effectively the difference between the average and the median normalized for ''x'', (average-median)/''x''.
}}
Communicated by [[Gnaiger E]] (2016-10-03) updated 2021-06-07
== The outlier index in DatLab ==
 
:::: In DatLab analysis, the ''OI'' is more specific than Pearson’s coefficient of skewness for targeting outliers in data series recorded with the O2k. The threshold of the absolute value of the ''OI'' is set at 0.05. If ABS(''OI'')>0.05 calculated for the data points within a defined [[Marks - DatLab |Mark]], the Mark window indicates the likely occurrence of outliers in the data sequence. The threshold can be set to a lab-specific or session-specific value different from the default value.
 
== Outlier ==
::::» [[Outlier]]
::::» [http://www.statisticshowto.com/pearsons-coefficient-of-skewness/ Pearson’s coefficient of skewness], [https://ww2.amstat.org/publications/jse/v19n2/doane.pdf Doane_2011_J Statistics Education: Measuring skewness: a forgotten statistic?]
 
{{MitoPedia O2k and high-resolution respirometry
|mitopedia O2k and high-resolution respirometry=DatLab, Oroboros QM
}}

Latest revision as of 10:53, 19 June 2021