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An R Package for Environmental Statistics

  • Book
  • © 2013
  • Latest edition


  • EnvStats is a comprehensive R software library for environmental scientists, engineers, and regulators, based on the open-source statistics and graphics package R
  • This book shows how to use EnvStats to easily produce powerful graphical and statistical analyses of environmental data
  • Includes extensive examples using data sets from regulatory guidance documents
  • Includes supplementary material:

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About this book

This book describes EnvStats, a new comprehensive R package for environmental statistics and the successor to the S-PLUS module EnvironmentalStats for S-PLUS (first released in 1997).  EnvStats and R provide an open-source set of powerful functions for performing graphical and statistical analyses of environmental data, bringing major environmental statistical methods found in the literature and regulatory guidance documents into one statistical package, along with an extensive hypertext help system that explains what these methods do, how to use these methods, and where to find them in the environmental statistics literature.  EnvStats also includes numerous built-in data sets from regulatory guidance documents and the environmental statistics literature.

This book shows how to use EnvStats and R to easily:
  * graphically display environmental data
  * plot probability distributions
  * estimate distribution parameters and construct confidence intervals on the original scale for commonly used distributions such as the lognormal and gamma, as well as do this nonparametrically
 * estimate and construct confidence intervals for distribution percentiles or do this nonparametrically (e.g., to compare to an environmental protection standard)
* perform and plot the results of goodness-of-fit tests
* compute optimal Box-Cox data transformations
* compute prediction limits and simultaneous prediction limits (e.g., to assess compliance at multiple sites for multiple constituents)
* perform nonparametric estimation and test for seasonal trend (even in the presence of correlated observations)
* perform power and sample size computations and create companion plots for sampling designs based on confidence intervals, hypothesis tests, prediction intervals, and tolerance intervals
* deal with non-detect (censored) data
* perform Monte Carlo simulation and probabilistic risk assessment
* reproduce specific examples in EPA guidance documents

EnvStats combined with other R packages (e.g., for spatial analysis) provides the environmental scientist, statistician, researcher, and technician with tools to “get the job done!”

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Table of contents (9 chapters)


“EnvStats: An R Package for Environmental Statistics by Stephen Millard describes itself as a user manual for the EnvStats R package. … This book could also be used by practitioners who use statistics in other fields … . this book was an interesting read, especially in terms of opening my eyes to the work of a statistician working on compliance issues in environmental applications, usually with parametric methods applied in data-poor scenarios.” (Peter F. Craigmile, Journal of Agricultural, Biological, and Environmental Statistics, Vol. 22 (1), 2017)

Authors and Affiliations

  • Seattle, USA

    Steven P. Millard

About the author

Steven P. Millard, Ph.D., is an independent statistical consultant and also Senior Biostatistician at the VA Puget Sound Health Care System in Seattle, Washington, and has worked in the field of environmental and health care statistics for over 25 years.  He has worked at the US Geological Survey, CH2M Hill, the University of California at Santa Barbara, Saint Martin’s College, Insightful Corporation, and the Cystic Fibrosis Therapeutics Development Network Coordinating Center.  In 1990 he developed the training program in S-PLUS while at Statistical Sciences (the creator of S-PLUS), and later developed the S-PLUS module EnvironmentalStats for S-PLUS.  He has taught numerous courses in statistics and software to professionals in the United States and Europe, including at the US EPA, Merck, and the National Security Agency.  He is the co-author of textbooks on environmental statistics and statistics for drug development.  Dr. Millard holds a B.A. in Mathematics from Pomona College, and an M.S. and Ph.D. in Biostatistics from the University of Washington.

Bibliographic Information

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