On this Picostat.com statistics page, you will find information about the pluton data set which pertains to Isotopic Composition Plutonium Batches. The pluton data set is found in the cluster R package. You can load the pluton data set in R by issuing the following command at the console data("pluton"). This will load the data into a variable called pluton. If R says the pluton data set is not found, you can try installing the package by issuing this command install.packages("cluster") and then attempt to reload the data. If you need to download R, you can go to the R project website. You can download a CSV (comma separated values) version of the pluton R data set. The size of this file is about 1,184 bytes.

Isotopic Composition Plutonium Batches

Description

The pluton data frame has 45 rows and 4 columns, containing percentages of isotopic composition of 45 Plutonium batches.

Usage

data(pluton)

Format

This data frame contains the following columns:

Pu238

the percentages of (238)Pu, always less than 2 percent.

Pu239

the percentages of (239)Pu, typically between 60 and 80 percent (from neutron capture of Uranium, (238)U).

Pu240

percentage of the plutonium 240 isotope.

Pu241

percentage of the plutonium 241 isotope.

Details

Note that the percentage of plutonium~242 can be computed from the other four percentages, see the examples.

In the reference below it is explained why it is very desirable to combine these plutonium patches in three groups of similar size.

Source

Available as ‘pluton.dat’ from the archive of the University of Antwerpen, ‘..../datasets/clusplot-examples.tar.gz’, no longer available.

References

Rousseeuw, P.J. and Kaufman, L and Trauwaert, E. (1996) Fuzzy clustering using scatter matrices, Computational Statistics and Data Analysis 23(1), 135–151.

Examples

data(pluton)hist(apply(pluton,1,sum), col = "gray") # between 94% and 100%
pu5 <- pluton
pu5$Pu242 <- 100 - apply(pluton,1,sum) # the remaining isotope.
pairs(pu5)

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Dataset imported from https://www.r-project.org.