ABCanalysis {ABCanalysis}

Computed ABC analysis: calculates a division of the data in 3 classes A, B and C

Description

divide the Data in 3 classes A, B and C such that

A=Data[Aind] : with low effort much yield

B=Data[Bind] : yield and effort are about equal

C=Data[Cind] : with much effort low yield

Usage

ABCanalysis(Data,ABCcurvedata,PlotIt=FALSE)

Arguments

Data

vector(1:n) describes an array of data: n cases in rows of one variable, if matrix or dataframe then first column will be used.

ABCcurvedata

only for internal usage, list from ABCcurve

PlotIt

default(FALSE), if variable is used, a plot is made, set with arbitrary value

Details

Pareto point: Minimum distance to (0,1) = minimal unrealized potential

BreakEven Point: B_x is the x value of the point, where the slope of ABCcurve equals one.

For further description to p in variable AlimitIndInInterpolation see ABCcurve

Value

Output is of type list which parts are described in the following

Aind

vector [1:j], A==Data(Aind) : with little effort much Yield

Bind

vector [1:l], B==Data(Bind) : effort and Yield are balanced

Cind

(vector [1:m], C==Data(Cind) : much effort for little Yield

ABexchanged

Boolean, TRUE if Point A is the Break Even and point B is the Pareto Point, FALSE otherwise

A

c(Ax,Ay), Pareto point or BreakEven Point indicated by ABexchanged

B

c(Bx,By), Pareto point or BreakEven Point indicated by ABexchanged

C

Submarginal point: minimum distance to [B_x,1]

smallestAData

Boundary AB, defined by point A or B with ABexchanged

smallestBData

Boundary BC, defined by point C

AlimitIndInInterpolation

index of AB Boundary in [p, ABC], the interpolation of the ABC plot

BlimitIndInInterpolation

index of BC Boundary in [p, ABC], the interpolation of the ABC plot

Author(s)

Michael Thrun

http://www.uni-marburg.de/fb12/datenbionik

References

Ultsch. A ., Lotsch J.: Computed ABC Analysis for Rational Selection of Most Informative Variables in Multivariate Data, PloS one, Vol. 10(6), pp. e0129767. doi 10.1371/journal.pone.0129767, 2015.

See Also

ABCplot

Examples

  data("SwissInhabitants")
	abc=ABCanalysis(SwissInhabitants,PlotIt=TRUE)
	A=abc$Aind
	B=abc$Bind
	C=abc$Cind
	Agroup=SwissInhabitants[A]
	Bgroup=SwissInhabitants[B]
	Cgroup=SwissInhabitants[C]