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Difference between revisions of "Outlier index - DatLab"

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{{MitoPedia
{{MitoPedia
|abbr=''SIAM'', ''OI''
|abbr=''OI''
|description=A '''skewness index based on average-median''' (''SIAM'') is defined for evaluation of skewness in relation to normal distribution. The ''SIAM'' is derived from [http://www.statisticshowto.com/pearsons-coefficient-of-skewness/ Pearson’s coefficient of skewness] #2:
|description=In DatLab analysis, the [[skewness index]] based on the average and median (''SIAM'') is used as an '''outlier index''' ''OI'' = ''SIAM''. The ''OI'' is more specific than Pearson’s coefficient of skewness for targeting [[Outlier |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.
 
: Pearson’s coefficient of skewness = 3 · (average-median)/SD
 
The skewness index ''SIAM'' introduces the absolute value of the arithmetic mean, ''x'' = ABS(average + median)/2, for normalization:
 
: ''SIAM'' = (average-median)/(''x'' + SD)
 
: ''SIAM'' = (average-median)/[ABS(average+median)/2 + SD]
 
At the limit of a zero value of ''x'', the ''SIAM'' equals Pearson’s coefficient of skewness #2 (without the multiplication factor of 3). At high ''x'' with small standard deviation (SD), the ''SIAM'' is effectively the difference between the average and the median normalized for ''x'', (average-median)/''x''.  
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  Communicated by [[Gnaiger E]] (2016-10-03) updated 2021-06-07
  Communicated by [[Gnaiger E]] (2016-10-03) updated 2021-06-07
== The outlier index in DatLab ==
:::: In DatLab analysis, the skewness index ''SIAM'' is used as an '''outlier index''' ''OI'' = ''SIAM''. 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
|mitopedia O2k and high-resolution respirometry=DatLab, Oroboros QM
|mitopedia O2k and high-resolution respirometry=DatLab, Oroboros QM
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Revision as of 08:56, 7 June 2021


high-resolution terminology - matching measurements at high-resolution


Outlier index - DatLab

Description

In DatLab analysis, the skewness index based on the average and median (SIAM) is used as an outlier index OI = SIAM. 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 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.

Abbreviation: OI

Communicated by Gnaiger E (2016-10-03) updated 2021-06-07


MitoPedia O2k and high-resolution respirometry: DatLab, Oroboros QM