Difference between revisions of "Talk:Outlier-skewness index"

Revision as of 07:47, 8 June 2021

OSI and Pearson's 2 coefficient are zero when average equals median.
OSI and Pearson's 2 coefficient are invariant when the data set is multiplied by a constant factor.
OSI but not Pearson's 2 coefficient correlates with the coefficient of variation (average/SD) when the data set is baseline corrected by a constant factor. OSI changes after a data set is baseline corrected by a constant factor, which changes x at a given SD. This does not affect Pearson's 2 index.
OSI changes from flux control ratio Y/Z to flux control efficiency 1-Y/Z, which changes x at a given SD. This does not affect Pearson's 2 index. In both cases the sign is changed.

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 == Problems or solutions ==
-::::* ''SIAM'' and Pearson's 2 coefficient are zero when average equals median.
+::::* ''OSI'' and Pearson's 2 coefficient are zero when average equals median.
-::::* ''SIAM'' and Pearson's 2 coefficient are invariant when the data set is multiplied by a constant factor.
+::::* ''OSI'' and Pearson's 2 coefficient are invariant when the data set is multiplied by a constant factor.
-::::* ''SIAM'' but not Pearson's 2 coefficient correlates with coefficient of variation when the data set is baseline corrected by a constant factor.
+::::* ''OSI'' but not Pearson's 2 coefficient correlates with the coefficient of variation (average/SD) when the data set is baseline corrected by a constant factor. ''OSI'' changes after a data set is baseline corrected by a constant factor, which changes ''x'' at a given SD. This does not affect Pearson's 2 index.
-::::* ''SIAM'' changes after a data set is baseline corrected by a constant factor, which changes ''x'' at a given SD. This does not affect Pearson's 2 index.
+::::* ''OSI'' changes from flux control ratio ''Y''/''Z'' to flux control efficiency 1-''Y''/''Z'', which changes ''x'' at a given SD. This does not affect Pearson's 2 index. In both cases the sign is changed.
-::::* ''SIAM'' changes from flux control ratio ''Y''/''Z'' to flux control efficiency 1-''Y''/''Z'', which changes ''x'' at a given SD. This does not affect Pearson's 2 index. In both cases the sign is changed.