Table of Contents
Histogram Calculation
Open Table or Figure or Fit Plot with initial data and select Processing → Histogram
menu item to calculate histogram.
Parameters
You can either set the bin size/count manually or specify auto binning criteria.
Bin Bounds
MagicPlot align the the lower limit of the first bin exactly at the beginning of specified histogram range (From
field). The upper limit of the last bin is calculated on the basis of the specified bin size and may be greater than the specified right histogram limit (to
field) as shown on the screenshot above. Enter round value in the From
field if you want the lower limit of the first bin to be round.
Auto Binning Criteria
You can enter custom criteria in Auto Binning
combo box:
- Typing
k=...
means setting the number of binsk
- Typing
h=...
means setting the bin sizeh
.
You can use these parameters in the expression:
n
— the number of data pointss
— data standard deviationm
— data meanmin
— data minimummax
— data maximum.
The default alternatives are:
— Default criteria in Excel, Origin and some other software
— Scott's formula
— Sturges' formula
MISE optimisation
— Shimazaki method. MagicPlot finds the minimum of Mean Integrated Squared Error (MISE) for the number of bins from 2 tomin(n/2, 20n1/2)
wheren
is the number of data points. See this paper and site for details: Shimazaki and Shinomoto, Neural Comput 19 1503-1527, 2007, http://2000.jukuin.keio.ac.jp/shimazaki/res/histogram.html.
'Keep on Recalculation' Option
This option is used when the histogram is recalculated. Recalculation may be cause by input data change (if Auto Recalculate
checkbox is selected) or invoked manually (Recalculate
menu item in histogram table column context menu).