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What It Does

The cmstatr package provides functions for performing statistical analysis of composite material data. The statistical methods implemented are those described in CMH-17-1G. This package focuses on calculating basis values (lower tolerance bounds) for material strength properties, as well as performing the associated diagnostic tests. Functions are also provided for testing for equivalency between alternate samples and the “qualification” or “baseline” samples.

Additional details about the package are available in the paper by Kloppenborg (2020,

There is a companion package cmstatrExt which provides statistical methods that are not included in CMH-17, but which may be of use to practitioners. For more information, please see the cmstatrExt Website.


To install cmstatr from CRAN, simply run:


If you want the latest development version, you can install it from github using devtools. This will also install the dependencies required to build the vignettes. Optionally, change the value of the argument ref to install cmstatr from a different branch of the repository.

install.packages(c("devtools", "rmarkdown", "dplyr", "tidyr"))
devtools::install_github("cmstatr/cmstatr", build_vignettes = TRUE,
                         ref = "master",
                         build_opts = c("--no-resave-data", "--no-manual"))


To compute a B-Basis value from an example data set packaged with cmstatr you can do the following:


carbon.fabric.2 %>%
  filter(test == "FC") %>%
  filter(condition == "RTD") %>%
  basis_normal(strength, batch)
#> Call:
#> basis_normal(data = ., x = strength, batch = batch)
#> Distribution:  Normal    ( n = 18 )
#> B-Basis:   ( p = 0.9 , conf = 0.95 )
#> 76.88082

For more examples of usage of the cmstatr package, see the tutorial vignette, which can be viewed online, or can be loaded as follows, once the package is installed:


There is also a vignette showing some examples of the types of graphs that are typically produced when analyzing composite materials. You can view this vignette online, or you can load this vignette with:


Philosophical Notes

This package expects tidy data. That is, individual observations should be in rows and variables in columns.

Where possible, this package uses general solutions. Look-up tables are avoided wherever possible.


If you’ve found a bug, please open an issue in this repository and describe the bug. Please include a reproducible example of the bug. If you’re able to fix the bug, you can do so by submitting a pull request.

If your bug is related to a particular data set, sharing that data set will help to fix the bug. If you cannot share the data set, please strip any identifying information and optionally scale the data by an unspecified factor so that the bug can be reproduced and diagnosed.


Contributions to cmstatr are always welcomed. For small changes (fixing typos or improving the documentation), go ahead and submit a pull request. For more significant changes, such as new features, please discuss the proposed change in an issue first.

Contribution Guidelines


Testing is performed using testthat. Edition 3 of that package is used and parallel processing enabled. If you wish to use more than two CPUs, set the environment variable TESTTHAT_CPUS to the number of CPUs that you want to use. One way of doing this is to create the file .Rprofile with the following contents. This file is ignored both by git and also in .Rbuildingore.

Sys.setenv(TESTTHAT_CPUS = 8)