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EnvStats (version 2.2.1)

Package for Environmental Statistics, Including US EPA Guidance

Description

Graphical and statistical analyses of environmental data, with focus on analyzing chemical concentrations and physical parameters, usually in the context of mandated environmental monitoring. Major environmental statistical methods found in the literature and regulatory guidance documents, with extensive help that explains what these methods do, how to use them, and where to find them in the literature. Numerous built-in data sets from regulatory guidance documents and environmental statistics literature. Includes scripts reproducing analyses presented in the book "EnvStats: An R Package for Environmental Statistics" (Millard, 2013, Springer, ISBN 978-1-4614-8455-4, ).

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Version

Install

install.packages('EnvStats')

Monthly Downloads

17,656

Version

2.2.1

License

GPL (>= 3)

Maintainer

Steven Millard

Last Published

January 14th, 2017

Functions in EnvStats (2.2.1)

boxcoxLm.object

S3 Class "boxcoxLm"
aovN

Compute Sample Size Necessary to Achieve Specified Power for One-Way Fixed-Effects Analysis of Variance
calibrate

Fit a Calibration Line or Curve
cdfCompare

Plot Two Cumulative Distribution Functions
Benthic.df

Benthic Data from Monitoring Program in Chesapeake Bay
calibrate.object

S3 Class "calibrate"
boxcoxCensored.object

S3 Class "boxcoxCensored"
anovaPE

Compute Lack-of-Fit and Pure Error Anova Table for a Linear Model
boxcox.object

S3 Class "boxcox"
ACE.13.TCE.df

Trichloroethylene Concentrations Before and After Remedation
ciBinomHalfWidth

Half-Width of Confidence Interval for Binomial Proportion or Difference Between Two Proportions
cdfCompareCensored

Plot Two Cumulative Distribution Functions Based on Censored Data
ciNparN

Sample Size for Nonparametric Confidence Interval for a Quantile
ciNormN

Sample Size for Specified Half-Width of Confidence Interval for Normal Distribution Mean or Difference Between Two Means
ciBinomN

Sample Size for Specified Half-Width of Confidence Interval for Binomial Proportion or Difference Between Two Proportions
ciNparConfLevel

Compute Confidence Level Associated with a Nonparametric Confidence Interval for a Quantile
ebinom

Estimate Parameter of a Binomial Distribution
Distribution.df

Data Frame Summarizing Available Probability Distributions and Estimation Methods
ciTableProp

Table of Confidence Intervals for Proportion or Difference Between Two Proportions
detectionLimitCalibrate

Determine Detection Limit
EPA.09.Ex.10.1.nickel.df

Nickel Concentrations from Example 10-1 of 2009 USEPA Guidance Document
EPA.02d.Ex.9.mg.per.L.vec

Concentrations in Exhibit 9 of 2002d USEPA Guidance Document
EnvStats-package

Package for Environmental Statistics, Including US EPA Guidance
EPA.02d.Ex.2.ug.per.L.vec

Concentrations in Exhibit 2 of 2002d USEPA Guidance Document
EPA.02d.Ex.6.mg.per.kg.vec

Concentrations in Exhibit 6 of 2002d USEPA Guidance Document
EPA.02d.Ex.4.mg.per.kg.vec

Concentrations in Exhibit 4 of 2002d USEPA Guidance Document
ecdfPlotCensored

Empirical Cumulative Distribution Function Plot Based on Type I Censored Data
elnorm

Estimate Parameters of a Lognormal Distribution (Log-Scale)
EPA.09.Ex.15.1.manganese.df

Manganese Concentrations from Example 15-1 of 2009 USEPA Guidance Document
EPA.09.Ex.16.1.sulfate.df

Sulfate Concentrations from Example 16-1 of 2009 USEPA Guidance Document
EPA.89b.chlordane2.df

Chlordane Concentrations from 1989 USEPA Guidance Document
EPA.09.Ex.17.3.chrysene.df

Chrysene Concentrations from Example 17-3 of 2009 USEPA Guidance Document
EPA.09.Ex.17.2.toluene.df

Toluene Concentrations from Example 17-2 of 2009 USEPA Guidance Document
EPA.09.Ex.13.1.iron.df

Iron Concentrations from Example 13-1 of 2009 USEPA Guidance Document
EPA.09.Ex.12.4.naphthalene.df

Naphthalene Concentrations from Example 12-4 of 2009 USEPA Guidance Document
EPA.89b.edb.df

EDB Concentrations from 1989 USEPA Guidance Document
EPA.09.Ex.17.4.copper.df

Copper Concentrations from Example 17-4 of 2009 USEPA Guidance Document
EPA.09.Ex.17.3.log.chrysene.df

Log-transformed Chrysene Concentrations from Example 17-3 of 2009 USEPA Guidance Document
EPA.09.Ex.18.2.chrysene.df

Chrysene Concentrations from Example 18-2 of 2009 USEPA Guidance Document
EPA.09.Ex.18.3.TCE.df

Trichloroethylene Concentrations from Example 18-3 of 2009 USEPA Guidance Document
EPA.89b.aldicarb2.df

Aldicarb Concentrations from 1989 USEPA Guidance Document
EPA.09.Ex.21.7.TCE.df

Trichloroethylene Concentrations from Example 21-7 of 2009 USEPA Guidance Document
EPA.09.Ex.21.6.nitrate.df

Nitrate Concentrations from Example 21-6 of 2009 USEPA Guidance Document
EPA.92c.arsenic3.df

Arsenic Concentrations from 1992 USEPA Guidance Document
EPA.89b.benzene.df

Benzene Concentrations from 1989 USEPA Guidance Document
EPA.09.Ex.18.4.xylene.df

Xylene Concentrations from Example 18-4 of 2009 USEPA Guidance Document
EPA.92c.chrysene.df

Chrysene Concentrations from 1992 USEPA Guidance Document
EPA.92c.benzene1.df

Benzene Concentrations from 1992 USEPA Guidance Document
EPA.09.Ex.19.1.sulfate.df

Sulfate Concentrations from Example 19-1 of 2009 USEPA Guidance Document
EPA.09.Table.9.1.TCE.df

Trichloroethene concentrations in Table 9.1 of 2009 USEPA Guidance Document
EPA.92c.arsenic1.df

Arsenic Concentrations from 1992 USEPA Guidance Document
EPA.09.Table.9.3.df

Arsenic, Mercury and Strontium Concentrations in Table 9-3 of 2009 USEPA Guidance Document
EPA.09.Ex.14.4.arsenic.df

Arsenic Concentrations from Example 14-4 of 2009 USEPA Guidance Document
EPA.92c.arsenic2.df

Arsenic Concentrations from 1992 USEPA Guidance Document
EPA.09.Ex.16.5.PCE.df

Tetrachloroethylene Concentrations from Example 16-5 of 2009 USEPA Guidance Document
EPA.09.Ex.14.8.df

Analyte Concentrations from Example 14-8 of 2009 USEPA Guidance Document
EPA.09.Ex.20.1.nickel.df

Nickel Concentrations from Example 20-1 of 2009 USEPA Guidance Document
EPA.09.Ex.17.1.loglead.df

Log-transformed Lead Concentrations from Example 17-1 of 2009 USEPA Guidance Document
EPA.09.Ex.11.1.arsenic.df

Arsenic Concentrations from Example 11-1 of 2009 USEPA Guidance Document
EPA.09.Ex.21.1.aldicarb.df

Aldicarb Concentrations from Example 21-1 of 2009 USEPA Guidance Document
EPA.09.Ex.16.2.benzene.df

Benzene Concentrations from Example 16-2 of 2009 USEPA Guidance Document
EPA.09.Ex.16.4.copper.df

Copper Concentrations from Example 16-4 of 2009 USEPA Guidance Document
EPA.09.Ex.12.1.ccl4.df

Carbon Tetrachloride Concentrations from Example 12-1 of 2009 USEPA Guidance Document
EPA.09.Ex.19.2.chloride.df

Chloride Concentrations from Example 19-2 of 2009 USEPA Guidance Document
EPA.09.Table.9.4.nickel.vec

Nickel Concentrations in Table 9-4 of 2009 USEPA Guidance Document
EPA.09.Ex.19.5.mercury.df

Mercury Concentrations from Example 19-5 of 2009 USEPA Guidance Document
EPA.09.Ex.22.1.VC.df

Vinyl Chloride Concentrations from Example 22-1 of 2009 USEPA Guidance Document
EPA.09.Ex.22.2.Specific.Conductance.df

Specific Conductance from Example 22-2 of 2009 USEPA Guidance Document
EPA.92c.benzene2.df

Benzene Concentrations from 1992 USEPA Guidance Document
EPA.89b.aldicarb1.df

Aldicarb Concentrations from 1989 USEPA Guidance Document
EPA.92d.chromium.df

Chromium Concentrations from 1992 USEPA Guidance Document
EPA.92c.ccl4.df

Carbon Tetrachloride Concentrations from 1992 USEPA Guidance Document
eqgeom

Estimate Quantiles of a Geometric Distribution
eqgevd

Estimate Quantiles of a Generalized Extreme Value Distribution
EPA.92c.copper1.df

Copper Concentrations from 1992 USEPA Guidance Document
eqhyper

Estimate Quantiles of a Hypergeometric Distribution
FcnsByCatEstDistParams

EnvStats Functions for Estimating Distribution Parameters
eqlnorm

Estimate Quantiles of a Lognormal Distribution
EPA.09.Ex.6.3.sulfate.df

Sulfate Concentrations from Example 6-3 of 2009 USEPA Guidance Document
EPA.09.Ex.7.1.arsenic.df

Arsenic concentrations from Example 7.1 of 2009 USEPA Guidance Document
EPA.89b.cadmium.df

Cadmium Concentrations from 1989 USEPA Guidance Document
EPA.89b.chlordane1.df

Chlordane Concentrations from 1989 USEPA Guidance Document
EPA.89b.sulfate.df

Sulfate Concentrations from 1989 USEPA Guidance Document
EPA.92c.nickel1.df

Nickel Concentrations from 1992 USEPA Guidance Document
EPA.89b.manganese.df

Manganese Concentrations from 1989 USEPA Guidance Document
Graham.et.al.75.etu.df

Ethylene Thiourea Dose-Response Data
gofOutlier.object

S3 Class "gofOutlier"
gofGroupTest

Goodness-of-Fit Test for a Specified Probability Distribution for Groups
FcnsByCatEstDistQuants

EnvStats Functions for Estimating Distribution Quantiles
Helsel.Cohn.88.app.b.df

Example of Multiply Left-censored Data from Literature
EPA.92c.nickel2.df

Nickel Concentrations from 1992 USEPA Guidance Document
NIOSH.89.air.lead.vec

NIOSH Air Lead Levels Data
Olympic.NH4.df

Ammonium Concentration in Precipitation Measured at Olympic National Park Hoh Ranger Station
FcnsByCatGOFTests

EnvStats Functions for Goodness-of-Fit Tests
Gibbons.et.al.09.Alkilinity.vec

Alkilinity Data from Gibbons et al. (2009)
geom_stripchart

1-D Scatter Plots with Confidence Intervals Using ggplot2
FcnsByCatHypothTests

EnvStats Functions for Hypothesis Tests
Helsel.Hirsch.02.Mayfly.df

Paired Counts of Mayfly Nymphs Above and Below Industrial Outfalls
Helsel.Cohn.88.silver.df

Silver Concentrations From An Interlab Comparison
EPA.92d.chromium.vec

Chromium Concentrations from 1992 USEPA Guidance Document
epdfPlot

Plot Empirical Probability Density Function
EPA.97.cadmium.111.df

Calibration Data for Cadmium at Mass 111
eqlnorm3

Estimate Quantiles of a Three-Parameter Lognormal Distribution
eqlnormCensored

Estimate Quantiles of a Lognormal Distribution Based on Type I Censored Data
estimate.object

S3 Class "estimate"
FcnsByCatSumStats

EnvStats Functions for Summary Statistics and Plots
FcnsByCatProbDists

EnvStats Probability Distributions and Random Numbers
estimateCensored.object

S3 Class "estimateCensored"
EPA.92c.copper2.df

Copper Concentrations from 1992 USEPA Guidance Document
Gibbons.et.al.09.Vinyl.Chloride.vec

Vinyl Chloride Data from Gibbons et al. (2009)
EPA.92c.lognickel1.df

Log-transformed Nickel Concentrations from 1992 USEPA Guidance Document
equnif

Estimate Quantiles of a Uniform Distribution
EPA.94b.lead.df

Lead Concentrations from 1994 USEPA Guidance Document
EPA.94b.tccb.df

1,2,3,4-Tetrachlorobenzene Concentrations from 1994 USEPA Guidance Document
FcnsByCatDataTrans

EnvStats Functions for Data Transformations
FcnsByCatCensoredData

EnvStats Functions for Censored Data
eqzmlnorm

Estimate Quantiles of a Zero-Modified Lognormal (Delta) Distribution
plot.boxcoxCensored

Plot Results of Box-Cox Transformations Based on Type I Censored Data
plot.boxcox

Plot Results of Box-Cox Transformations
plotPredIntLnormAltTestPowerCurve

Power Curves for Sampling Design for Test Based on Prediction Interval for Lognormal Distribution
plotPredIntNormDesign

Plots for a Sampling Design Based on a Prediction Interval for the Next \(k\) Observations from a Normal Distribution
print.estimate

Print Objects of Class "estimate"
predIntLnorm

Prediction Interval for a Lognormal Distribution
predIntGammaSimultaneous

Simultaneous Prediction Interval for a Gamma Distribution
gof.object

S3 Class "gof"
gofTwoSample.object

S3 Class "gofTwoSample"
Refinery.CO.df

Carbon Monoxide Emissions from Oil Refinery.
print.estimateCensored

Print Objects of Class "estimateCensored"
simulateVector

Simulate a Vector of Random Numbers From a Specified Theoretical or Empirical Probability Distribution
gpqTolIntNormCensored

Generalized Pivotal Quantity for Tolerance Interval for a Normal Distribution Based on Censored Data
longToWide

Convert a Long Format Data Set into a Wide Format
Millard.Deverel.88.df

Copper and Zinc Concentrations in Shallow Ground Water
plotLinearTrendTestDesign

Plots for a Sampling Design Based on a t-Test for Linear Trend
stat_median_iqr_text

Add Text Indicating the Median and Interquartile Range to a ggplot2 Plot
plotPredIntLnormAltSimultaneousTestPowerCurve

Power Curves for Sampling Design for Test Based on Simultaneous Prediction Interval for Lognormal Distribution
stat_n_text

Add Text Indicating the Sample Size to a ggplot2 Plot
tTestAlpha

Type I Error Level for a One- or Two-Sample t-Test
tTestLnormAltN

Sample Size for a One- or Two-Sample t-Test, Assuming Lognormal Data
varTest

One-Sample Chi-Squared Test on Variance
elnormCensored

Estimate Parameters for a Lognormal Distribution (Log-Scale) Based on Type I Censored Data
Environmental

Atmospheric Environmental Conditions in New York City
EPA.09.Ex.14.3.alkalinity.df

Alkalinity Measures from Example 14-3 of 2009 USEPA Guidance Document
EPA.09.Ex.14.1.manganese.df

Manganese Concentrations from Example 14-1 of 2009 USEPA Guidance Document
EPA.09.Ex.17.6.sulfate.df

Sulfate Concentrations from Example 17-6 of 2009 USEPA Guidance Document
EPA.09.Ex.17.5.chloride.df

Chloride Concentrations from Example 17-5 of 2009 USEPA Guidance Document
EPA.09.Ex.17.7.sodium.df

Sodium Concentrations from Example 17-7 of 2009 USEPA Guidance Document
EPA.09.Ex.18.1.arsenic.df

Arsenic Concentrations from Example 18-1 of 2009 USEPA Guidance Document
EPA.09.Ex.21.5.beryllium.df

Beryllium Concentrations from Example 21-5 of 2009 USEPA Guidance Document
EPA.09.Ex.21.2.benzene.df

Benzene Concentrations from Example 21-2 of 2009 USEPA Guidance Document
linearTrendTestN

Sample Size for a t-Test for Linear Trend
linearTrendTestScaledMds

Scaled Minimal Detectable Slope for a t-Test for Linear Trend
plot.permutationTest

Plot Results of Permutation Test
plotPredIntNparDesign

Plots for a Sampling Design Based on a Nonparametric Prediction Interval
plot.gofTwoSample

Plot Results of Goodness-of-Fit Test to Compare Two Samples
eqexp

Estimate Quantiles of an Exponential Distribution
plotPredIntNparSimultaneousDesign

Plots for a Sampling Design Based on a Simultaneous Nonparametric Prediction Interval
eqgamma

Estimate Quantiles of a Gamma Distribution
eqlogis

Estimate Quantiles of a Logistic Distribution
FcnsByCat

EnvStats Functions Listed by Category
eqnbinom

Estimate Quantiles of a Negative Binomial Distribution
FcnsByCatCalibration

EnvStats Functions for Calibration
EPA.89b.toc.vec

Total Organic Carbon Concentrations from 1989 USEPA Guidance Document
EPA.89b.lead.df

Lead Concentrations from 1989 USEPA Guidance Document
EPA.92c.toluene.df

Toluene Concentrations from 1992 USEPA Guidance Document
EPA.89b.loglead.df

Log-transformed Lead Concentrations from 1989 USEPA Guidance Document
EPA.89b.t29.df

T-29 Concentrations from 1989 USEPA Guidance Document
EPA.92c.zinc.df

Zinc Concentrations from 1992 USEPA Guidance Document
eqbeta

Estimate Quantiles of a Beta Distribution
eqbinom

Estimate Quantiles of a Binomial Distribution
eqnorm

Estimate Quantiles of a Normal Distribution
eqnormCensored

Estimate Quantiles of a Normal Distribution Based on Type I Censored Data
eqzmnorm

Estimate Quantiles of a Zero-Modified Normal Distribution
errorBar

Plot Pointwise Error Bars
FcnsByCatPredInts

EnvStats Functions for Prediction Intervals
FcnsByCatMCandRisk

EnvStats Functions for Monte Carlo Simulation and Risk Assessment
gofCensored.object

S3 Class "gofCensored"
FcnsByCatPrintPlot

EnvStats Functions for Printing and Plotting Objects of Various S3 Classes
gofGroup.object

S3 Class "gofGroup"
htest.object

S3 Class "htest"
htestCensored.object

S3 Class "htestCensored"
predict.lm

Predict Method for Linear Model Fits
predIntGamma

Prediction Interval for Gamma Distribution
print.boxcox

Print Output of Objective for Box-Cox Power Transformations
predIntNparSimultaneousN

Sample Size for Simultaneous Nonparametric Prediction Interval for Continuous Distribution
print.gofCensored

Print Output of Goodness-of-Fit Tests Based on Censored Data
print.gof

Print Output of Goodness-of-Fit Tests
plotTolIntNormDesign

Plots for a Sampling Design Based on a Tolerance Interval for a Normal Distribution
predIntNparN

Sample Size for a Nonparametric Prediction Interval for a Continuous Distribution
plotTolIntNparDesign

Plots for a Sampling Design Based on a Nonparametric Tolerance Interval
predIntNparSimultaneousConfLevel

Confidence Level of Simultaneous Nonparametric Prediction Interval for Continuous Distribution
print.gofTwoSample

Print Output of Two-Sample Goodness-of-Fit Tests
print.htest

Print Output of Hypothesis Tests
FcnsByCatPlotProbDists

EnvStats Functions for Plotting Probability Distributions
qqPlotGestalt

Develop Gestalt of Q-Q Plots for Specific Distributions
FcnsByCatTolInts

EnvStats Functions for Tolerance Intervals
plotAovDesign

Create Plots for a Sampling Design Based on a One-Way Fixed-Effects Analysis of Variance
FcnsByCatTrend

EnvStats Functions for Trend Analysis
plotCiNormDesign

Plots for Sampling Design Based on Confidence Interval for Mean of a Normal Distribution or Difference Between Two Means
plotCiBinomDesign

Plots for Sampling Design Based on Confidence Interval for Binomial Proportion or Difference Between Two Proportions
propTestPower

Compute the Power of a One- or Two-Sample Proportion Test
qqPlotCensored

Quantile-Quantile (Q-Q) Plot for Type I Censored Data
stat_test_text

Add Text to a ggplot2 Plot Indicating the Results of a Hypothesis Test
FcnsByCatPlotUsingggplot2

EnvStats Functions for Creating Plots Using the ggplot2 Package
stripChart

1-D Scatter Plots with Confidence Intervals
FcnsByCatPower

EnvStats Functions for Power and Sample Size Calculations
inversePredictCalibrate

Predict Concentration Using Calibration
Lin.Evans.80.df

Fecal Coliform Data from the Illinois River
Modified.TcCB.df

Modified 1,2,3,4-Tetrachlorobenzene Data with Censored Values
newsEnvStats

Show the EnvStats NEWS File
plot.gofCensored

Plot Results of Goodness-of-Fit Test Based on Censored Data
plotCiNparDesign

Plots for Sampling Design Based on Nonparametric Confidence Interval for a Quantile
pointwise

Pointwise Confidence Limits for Predictions
predict

Model Predictions
print.htestCensored

Print Output of Hypothesis Tests Based on Censored Data
print

Print Values
tTestLnormAltRatioOfMeans

Minimal or Maximal Detectable Ratio of Means for One- or Two-Sample t-Test, Assuming Lognormal Data
quantileTestPValue

Compute p-Value for the Quantile Test
summaryFull

Full Complement of Summary Statistics
summaryStats

Summary Statistics
tolIntLnorm

Tolerance Interval for a Lognormal Distribution
tTestScaledMdd

Scaled Minimal Detectable Difference for One- or Two-Sample t-Test
tolIntLnormCensored

Tolerance Interval for a Lognormal Distribution Based on Censored Data
varGroupTest

Test for Homogeneity of Variance Among Two or More Groups
plot.gofGroup

Plot Results of Group Goodness-of-Fit Test
plotPredIntNormSimultaneousTestPowerCurve

Power Curves for Sampling Design for Test Based on Simultaneous Prediction Interval for Normal Distribution
plotPredIntNparSimultaneousTestPowerCurve

Power Curves for Sampling Design for Test Based on Nonparametric Simultaneous Prediction Interval
plotPredIntNormTestPowerCurve

Power Curves for Sampling Design for Test Based on Prediction Interval for Normal Distribution
plotPropTestDesign

Plots for Sampling Design Based on One- or Two-Sample Proportion Test
print.boxcoxCensored

Print Output of Objective for Box-Cox Power Transformations Based on Type I Censored Data
print.boxcoxLm

Print Output of Objective for Box-Cox Power Transformations for an "lm" Object
print.gofGroup

Print Output of Group Goodness-of-Fit Tests
print.gofOutlier

Print Output of Goodness-of-Fit Outlier Tests
propTestMdd

Minimal Detectable Difference Associated with a One- or Two-Sample Proportion Test
propTestN

Compute Sample Size Necessary to Achieve a Specified Power for a One- or Two-Sample Proportion Test
tolIntGamma

Tolerance Interval for a Gamma Distribution
summaryStats.object

S3 Class "summaryStats"
Ozone.NE.df

Ozone Concentrations in the Northeast U.S.
permutationTest.object

S3 Class "permutationTest"
plot.boxcoxLm

Plot Results of Box-Cox Transformations for a Linear Model
plotTTestDesign

Plots for a Sampling Design Based on a One- or Two-Sample t-Test
plot.gof

Plot Results of Goodness-of-Fit Test
plotTTestLnormAltDesign

Plots for a Sampling Design Based on a One- or Two-Sample t-Test, Assuming Lognormal Data
predIntLnormSimultaneous

Simultaneous Prediction Interval for a Lognormal Distribution
print.summaryStats

Print Summary Statistics
print.permutationTest

Print Output of Permutation Tests
predIntNparConfLevel

Confidence Level for Nonparametric Prediction Interval for Continuous Distribution
stat_mean_sd_text

Add Text Indicating the Mean and Standard Deviation to a ggplot2 Plot
Skagit.NH3_N.df

Ammonia Nitrogen Concentrations in the Skagit River, Marblemount, Washington
tolIntNparCoverage

Coverage for Nonparametric Tolerance Interval for Continuous Distribution
Total.P.df

Total Phosphorus Data from Chesapeake Bay
tolIntNormCensored

Tolerance Interval for a Normal Distribution Based on Censored Data
tolIntNparConfLevel

Confidence Level for Nonparametric Tolerance Interval for Continuous Distribution
tTestN

Sample Size for a One- or Two-Sample t-Test
CastilloAndHadi1994

Abstract: Castillo and Hadi (1994)
Chi

The Chi Distribution
Empirical

The Empirical Distribution Based on a Set of Observations
EVD

The Extreme Value (Gumbel) Distribution
HoskingEtAl1985

Abstract: Hosking et al. (1985)
NormalTrunc

The Truncated Normal Distribution
Lognormal3

The Three-Parameter Lognormal Distribution
LognormalAlt

The Lognormal Distribution (Alternative Parameterization)
LognormalTrunc

The Truncated Lognormal Distribution
boxcoxCensored

Boxcox Power Transformation for Type I Censored Data
ciTableMean

Table of Confidence Intervals for Mean or Difference Between Two Means
ecdfPlot

Empirical Cumulative Distribution Function Plot
egammaAltCensored

Estimate Mean and Coefficient of Variation for a Gamma Distribution Based on Type I Censored Data
NormalMix

Mixture of Two Normal Distributions
ZeroModifiedLognormal

The Zero-Modified Lognormal (Delta) Distribution
ZeroModifiedLognormalAlt

The Zero-Modified Lognormal (Delta) Distribution (Alternative Parameterization)
eevd

Estimate Parameters of an Extreme Value (Gumbel) Distribution
egeom

Estimate Probability Parameter of a Geometric Distribution
egammaCensored

Estimate Shape and Scale Parameters for a Gamma Distribution Based on Type I Censored Data
enorm

Estimate Parameters of a Normal (Gaussian) Distribution
enormCensored

Estimate Parameters for a Normal Distribution Based on Type I Censored Data
egevd

Estimate Parameters of a Generalized Extreme Value Distribution
epois

Estimate Parameter of a Poisson Distribution
EulersConstant

Euler's Constant
GEVD

The Generalized Extreme Value Distribution
GammaAlt

The Gamma Distribution (Alternative Parameterization)
LognormalMix

Mixture of Two Lognormal Distributions
LognormalMixAlt

Mixture of Two Lognormal Distributions (Alternative Parameterization)
Pareto

The Pareto Distribution
ZeroModifiedNormal

The Zero-Modified Normal Distribution
eqweibull

Estimate Quantiles of a Weibull Distribution
ezmnorm

Estimate Parameters of a Zero-Modified Normal Distribution
geoMean

Geometric Mean
gofTest

Goodness-of-Fit Test
kurtosis

Coefficient of (Excess) Kurtosis
lMoment

Estimate \(L\)-Moments
LognormalTruncAlt

The Truncated Lognormal Distribution (Alternative Parameterization)
Triangular

The Triangular Distribution
aovPower

Compute the Power of a One-Way Fixed-Effects Analysis of Variance
boxcoxTransform

Apply a Box-Cox Power Transformation to a Set of Data
base

Base \(b\) Representation of a Number
boxcox

Boxcox Power Transformation
cdfPlot

Plot Cumulative Distribution Function
ciNormHalfWidth

Half-Width of Confidence Interval for Normal Distribution Mean or Difference Between Two Means
ebeta

Estimate Parameters of a Beta Distribution
elnorm3

Estimate Parameters of a Three-Parameter Lognormal Distribution (Log-Scale)
chenTTest

Chen's Modified One-Sided t-test for Skewed Distributions
eexp

Estimate Rate Parameter of an Exponential Distribution
egamma

Estimate Parameters of Gamma Distribution
elnormAltCensored

Estimate Parameters for a Lognormal Distribution (Original Scale) Based on Type I Censored Data
epoisCensored

Estimate Mean of a Poisson Distribution Based on Type I Censored Data
elnormAlt

Estimate Parameters of a Lognormal Distribution (Original Scale)
enparCensored

Estimate Mean, Standard Deviation, and Standard Error Nonparametrically Based on Censored Data
epareto

Estimate Parameters of a Pareto Distribution
gpqCiNormCensored

Generalized Pivotal Quantity for Confidence Interval for the Mean of a Normal Distribution Based on Censored Data
linearTrendTestPower

Power of a t-Test for Linear Trend
cv

Sample Coefficient of Variation.
ehyper

Estimate Parameter of a Hypergeometric Distribution
elogis

Estimate Parameters of a Logistic Distribution
enbinom

Estimate Probability Parameter of a Negative Binomial Distribution
eunif

Estimate Parameters of a Uniform Distribution
ppointsCensored

Plotting Positions for Type I Censored Data
predIntNormSimultaneousTestPower

Probability That at Least One Set of Future Observations Violates the Given Rule Based on a Simultaneous Prediction Interval for a Normal Distribution
evNormOrdStats

Expected Value of Order Statistics from Random Sample from Standard Normal Distribution
geoSD

Geometric Standard Deviation.
kendallSeasonalTrendTest

Nonparametric Test for Monotonic Trend Within Each Season Based on Kendall's Tau Statistic
eqevd

Estimate Quantiles of an Extreme Value (Gumbel) Distribution
eqpois

Estimate Quantiles of a Poisson Distribution
predIntNormTestPower

Probability That at Least One Future Observation Falls Outside a Prediction Interval for a Normal Distribution
predIntNpar

Nonparametric Prediction Interval for a Continuous Distribution
predIntNorm

Prediction Interval for a Normal Distribution
predIntNormHalfWidth

Half-Width of a Prediction Interval for the next \(k\) Observations from a Normal Distribution
predIntNparSimultaneousTestPower

Probability That at Least One Set of Future Observations Violates the Given Rule Based on a Nonparametric Simultaneous Prediction Interval
predIntPois

Prediction Interval for a Poisson Distribution
eqnpar

Estimate Quantiles of a Distribution Nonparametrically
eqpareto

Estimate Quantiles of a Pareto Distribution
eweibull

Estimate Parameters of a Weibull Distribution
ezmlnorm

Estimate Parameters of a Zero-Modified Lognormal (Delta) Distribution
signTest

One-Sample or Paired-Sample Sign Test on a Median
kendallTrendTest

Kendall's Nonparametric Test for Montonic Trend
oneSamplePermutationTest

Fisher's One-Sample Randomization (Permutation) Test for Location
gofTestCensored

Goodness-of-Fit Test for Normal or Lognormal Distribution Based on Censored Data
simulateMvMatrix

Simulate a Multivariate Matrix Based on a Specified Rank Correlation Mat
tolIntNorm

Tolerance Interval for a Normal Distribution
tTestPower

Power of a One- or Two-Sample t-Test
twoSampleLinearRankTest

Two-Sample Linear Rank Test to Detect a Difference Between Two Distributions
iqr

Interquartile Range
pdfPlot

Plot Probability Density Function
twoSampleLinearRankTestCensored

Two-Sample Linear Rank Test to Detect a Difference Between Two Distributions Based on Censored Data
zTestGevdShape

Test Whether the Shape Parameter of a Generalized Extreme Value Distribution is Equal to 0
twoSamplePermutationTestLocation

Two-Sample or Paired-Sample Randomization (Permutation) Test for Location
twoSamplePermutationTestProportion

Randomization (Permutation) Test to Compare Two Proportions (Fisher's Exact Test)
predIntLnormAltSimultaneousTestPower

Probability That at Least One Set of Future Observations Violates the Given Rule Based on a Simultaneous Prediction Interval for a Lognormal Distribution
predIntLnormAltTestPower

Probability That at Least One Future Observation Falls Outside a Prediction Interval for a Lognormal Distribution
predIntNparSimultaneous

Nonparametric Simultaneous Prediction Interval for a Continuous Distribution
predIntNormK

Compute the Value of \(K\) for a Prediction Interval for a Normal Distribution
predIntNormN

Sample Size for a Specified Half-Width of a Prediction Interval for the next \(k\) Observations from a Normal Distribution
predIntNormSimultaneous

Simultaneous Prediction Interval for a Normal Distribution
predIntNormSimultaneousK

Compute the Value of \(K\) for a Simultaneous Prediction Interval for a Normal Distribution
skewness

Coefficient of Skewness
pwMoment

Estimate Probability-Weighted Moments
qqPlot

Quantile-Quantile (Q-Q) Plot
rosnerTest

Rosner's Test for Outliers
serialCorrelationTest

Test for the Presence of Serial Correlation
quantileTest

Two-Sample Rank Test to Detect a Shift in a Proportion of the "Treated" Population
tTestLnormAltPower

Power of a One- or Two-Sample t-Test Assuming Lognormal Data
tolIntNormN

Sample Size for a Specified Half-Width of a Tolerance Interval for a Normal Distribution
tolIntNpar

Nonparametric Tolerance Interval for a Continuous Distribution
tolIntNormHalfWidth

Half-Width of a Tolerance Interval for a Normal Distribution
tolIntNormK

Compute the Value of \(K\) for a Tolerance Interval for a Normal Distribution
tolIntNparN

Sample Size for Nonparametric Tolerance Interval for Continuous Distribution
tolIntPois

Tolerance Interval for a Poisson Distribution