\(\renewcommand\AA{\unicode{x212B}}\)

WeightedMeanOfWorkspace v1

Summary

This algorithm calculates the weighted mean for an entire workspace.

See Also

Mean, WeightedMean

Properties

Name

Direction

Type

Default

Description

InputWorkspace

Input

MatrixWorkspace

Mandatory

An input workspace.

OutputWorkspace

Output

MatrixWorkspace

Mandatory

An output workspace.

Description

This algorithm calculates the weighted mean from all the spectra in a given workspace. Monitors and masked spectra are ignored. Also, individual bins with IEEE values will be excluded from the result. The weighted mean calculated by the following:

\(\displaystyle y=\frac{\sum\frac{x_i}{\sigma^{2}_i}}{\sum\frac{1}{\sigma^{2}_i}}\)

and the variance is calculated by:

\(\displaystyle \sigma^{2}_y=\frac{1}{\sum\frac{1}{\sigma^{2}_i}}\)

Usage

dataX = range(1,13)
dataY = range(1,12)
dataE = range(1,12)
ws = CreateWorkspace(dataX, dataY, dataE)
ws1 = WeightedMeanOfWorkspace(ws)
print("Weighted Mean of Workspace: {}".format(str(ws1.readY(0))))
print("Weighted Mean Error of Workspace: {}".format(str(ws1.readE(0))))

Output:

Weighted Mean of Workspace: [1.93826376]
Weighted Mean Error of Workspace: [1.2482116]

Categories: AlgorithmIndex | Arithmetic

Source

C++ header: WeightedMeanOfWorkspace.h

C++ source: WeightedMeanOfWorkspace.cpp