All functions |
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Trichloroethylene Concentrations Before and After Remedation |
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Randomly sampled measurements of an analyte in soil samples. |
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Lead concentration in soil samples. |
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Benthic Data from Monitoring Program in Chesapeake Bay |
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Abstract: Castillo and Hadi (1994) |
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The Chi Distribution |
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Data Frame Summarizing Available Probability Distributions and Estimation Methods |
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Concentrations in Exhibit 2 of 2002d USEPA Guidance Document |
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Concentrations in Exhibit 4 of 2002d USEPA Guidance Document |
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Concentrations in Exhibit 6 of 2002d USEPA Guidance Document |
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Concentrations in Exhibit 9 of 2002d USEPA Guidance Document |
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Nickel Concentrations from Example 10-1 of 2009 USEPA Guidance Document |
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Arsenic Concentrations from Example 11-1 of 2009 USEPA Guidance Document |
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Carbon Tetrachloride Concentrations from Example 12-1 of 2009 USEPA Guidance Document |
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Naphthalene Concentrations from Example 12-4 of 2009 USEPA Guidance Document |
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Iron Concentrations from Example 13-1 of 2009 USEPA Guidance Document |
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Manganese Concentrations from Example 14-1 of 2009 USEPA Guidance Document |
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Alkalinity Measures from Example 14-3 of 2009 USEPA Guidance Document |
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Arsenic Concentrations from Example 14-4 of 2009 USEPA Guidance Document |
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Analyte Concentrations from Example 14-8 of 2009 USEPA Guidance Document |
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Manganese Concentrations from Example 15-1 of 2009 USEPA Guidance Document |
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Sulfate Concentrations from Example 16-1 of 2009 USEPA Guidance Document |
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Benzene Concentrations from Example 16-2 of 2009 USEPA Guidance Document |
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Copper Concentrations from Example 16-4 of 2009 USEPA Guidance Document |
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Tetrachloroethylene Concentrations from Example 16-5 of 2009 USEPA Guidance Document |
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Log-transformed Lead Concentrations from Example 17-1 of 2009 USEPA Guidance Document |
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Toluene Concentrations from Example 17-2 of 2009 USEPA Guidance Document |
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Chrysene Concentrations from Example 17-3 of 2009 USEPA Guidance Document |
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Log-transformed Chrysene Concentrations from Example 17-3 of 2009 USEPA Guidance Document |
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Copper Concentrations from Example 17-4 of 2009 USEPA Guidance Document |
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Chloride Concentrations from Example 17-5 of 2009 USEPA Guidance Document |
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Sulfate Concentrations from Example 17-6 of 2009 USEPA Guidance Document |
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Sodium Concentrations from Example 17-7 of 2009 USEPA Guidance Document |
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Arsenic Concentrations from Example 18-1 of 2009 USEPA Guidance Document |
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Chrysene Concentrations from Example 18-2 of 2009 USEPA Guidance Document |
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Trichloroethylene Concentrations from Example 18-3 of 2009 USEPA Guidance Document |
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Xylene Concentrations from Example 18-4 of 2009 USEPA Guidance Document |
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Sulfate Concentrations from Example 19-1 of 2009 USEPA Guidance Document |
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Chloride Concentrations from Example 19-2 of 2009 USEPA Guidance Document |
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Mercury Concentrations from Example 19-5 of 2009 USEPA Guidance Document |
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Nickel Concentrations from Example 20-1 of 2009 USEPA Guidance Document |
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Aldicarb Concentrations from Example 21-1 of 2009 USEPA Guidance Document |
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Benzene Concentrations from Example 21-2 of 2009 USEPA Guidance Document |
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Beryllium Concentrations from Example 21-5 of 2009 USEPA Guidance Document |
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Nitrate Concentrations from Example 21-6 of 2009 USEPA Guidance Document |
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Trichloroethylene Concentrations from Example 21-7 of 2009 USEPA Guidance Document |
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Vinyl Chloride Concentrations from Example 22-1 of 2009 USEPA Guidance Document |
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Specific Conductance from Example 22-2 of 2009 USEPA Guidance Document |
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Sulfate Concentrations from Example 6-3 of 2009 USEPA Guidance Document |
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Arsenic concentrations from Example 7.1 of 2009 USEPA Guidance Document |
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Trichloroethene concentrations in Table 9.1 of 2009 USEPA Guidance Document |
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Arsenic, Mercury and Strontium Concentrations in Table 9-3 of 2009 USEPA Guidance Document |
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Nickel Concentrations in Table 9-4 of 2009 USEPA Guidance Document |
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Aldicarb Concentrations from 1989 USEPA Guidance Document |
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Aldicarb Concentrations from 1989 USEPA Guidance Document |
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Benzene Concentrations from 1989 USEPA Guidance Document |
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Cadmium Concentrations from 1989 USEPA Guidance Document |
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Chlordane Concentrations from 1989 USEPA Guidance Document |
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Chlordane Concentrations from 1989 USEPA Guidance Document |
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EDB Concentrations from 1989 USEPA Guidance Document |
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Lead Concentrations from 1989 USEPA Guidance Document |
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Log-transformed Lead Concentrations from 1989 USEPA Guidance Document |
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Manganese Concentrations from 1989 USEPA Guidance Document |
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Sulfate Concentrations from 1989 USEPA Guidance Document |
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T-29 Concentrations from 1989 USEPA Guidance Document |
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Total Organic Carbon Concentrations from 1989 USEPA Guidance Document |
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Arsenic Concentrations from 1992 USEPA Guidance Document |
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Arsenic Concentrations from 1992 USEPA Guidance Document |
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Arsenic Concentrations from 1992 USEPA Guidance Document |
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Benzene Concentrations from 1992 USEPA Guidance Document |
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Benzene Concentrations from 1992 USEPA Guidance Document |
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Carbon Tetrachloride Concentrations from 1992 USEPA Guidance Document |
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Chrysene Concentrations from 1992 USEPA Guidance Document |
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Copper Concentrations from 1992 USEPA Guidance Document |
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Copper Concentrations from 1992 USEPA Guidance Document |
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Log-transformed Nickel Concentrations from 1992 USEPA Guidance Document |
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Nickel Concentrations from 1992 USEPA Guidance Document |
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Nickel Concentrations from 1992 USEPA Guidance Document |
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Toluene Concentrations from 1992 USEPA Guidance Document |
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Zinc Concentrations from 1992 USEPA Guidance Document |
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Chromium Concentrations from 1992 USEPA Guidance Document |
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Chromium Concentrations from 1992 USEPA Guidance Document |
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Lead Concentrations from 1994 USEPA Guidance Document |
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1,2,3,4-Tetrachlorobenzene Concentrations from 1994 USEPA Guidance Document |
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Calibration Data for Cadmium at Mass 111 |
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The Extreme Value (Gumbel) Distribution |
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The Empirical Distribution Based on a Set of Observations |
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Internal EnvStats Objects |
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Atmospheric Environmental Conditions in New York City |
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Euler's Constant |
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EnvStats Functions Listed by Category |
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EnvStats Functions for Calibration |
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EnvStats Functions for Censored Data |
EnvStats Functions for Data Transformations |
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EnvStats Functions for Estimating Distribution Parameters |
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EnvStats Functions for Estimating Distribution Quantiles |
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EnvStats Functions for Goodness-of-Fit Tests |
EnvStats Functions for Hypothesis Tests |
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EnvStats Functions for Monte Carlo Simulation and Risk Assessment |
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EnvStats Functions for Plotting Probability Distributions |
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EnvStats Functions for Creating Plots Using the ggplot2 Package |
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EnvStats Functions for Power and Sample Size Calculations |
EnvStats Functions for Prediction Intervals |
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EnvStats Functions for Printing and Plotting Objects of Various S3 Classes |
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EnvStats Probability Distributions and Random Numbers |
EnvStats Functions for Summary Statistics and Plots |
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EnvStats Functions for Tolerance Intervals |
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EnvStats Functions for Trend Analysis |
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The Generalized Extreme Value Distribution |
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The Gamma Distribution (Alternative Parameterization) |
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Alkilinity Data from Gibbons et al. (2009) |
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Vinyl Chloride Data from Gibbons et al. (2009) |
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Ethylene Thiourea Dose-Response Data |
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Adjusted Alpha Levels to Compute Confidence Intervals for the Mean of a Gamma Distribution |
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Example of Multiply Left-censored Data from Literature |
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Silver Concentrations From An Interlab Comparison |
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Paired Counts of Mayfly Nymphs Above and Below Industrial Outfalls |
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Abstract: Hosking et al. (1985) |
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Fecal Coliform Data from the Illinois River |
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The Three-Parameter Lognormal Distribution |
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The Lognormal Distribution (Alternative Parameterization) |
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Mixture of Two Lognormal Distributions |
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Mixture of Two Lognormal Distributions (Alternative Parameterization) |
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The Truncated Lognormal Distribution |
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The Truncated Lognormal Distribution (Alternative Parameterization) |
Copper and Zinc Concentrations in Shallow Ground Water |
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Modified 1,2,3,4-Tetrachlorobenzene Data with Censored Values |
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NIOSH Air Lead Levels Data |
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Mixture of Two Normal Distributions |
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The Truncated Normal Distribution |
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Ammonium Concentration in Precipitation Measured at Olympic National Park Hoh Ranger Station |
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Ozone Concentrations in the Northeast U.S. |
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The Pareto Distribution |
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Real dataset from ProUCL 5.2.0. |
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ProUCL Critical Values for Anderson-Darling Goodness-of-Fit Test for Gamma Distribution |
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ProUCL Critical Values for Kolmogorov-Smirnov Goodness-of-Fit Test for Gamma Distribution |
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Carbon Monoxide Emissions from Oil Refinery. |
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Ammonia Nitrogen Concentrations in the Skagit River, Marblemount, Washington |
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Total Phosphorus Data from Chesapeake Bay |
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The Triangular Distribution |
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The Zero-Modified Lognormal (Delta) Distribution |
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The Zero-Modified Lognormal (Delta) Distribution (Alternative Parameterization) |
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The Zero-Modified Normal Distribution |
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Compute Lack-of-Fit and Pure Error Anova Table for a Linear Model |
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Compute Sample Size Necessary to Achieve Specified Power for One-Way Fixed-Effects Analysis of Variance |
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Compute the Power of a One-Way Fixed-Effects Analysis of Variance |
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Base \(b\) Representation of a Number |
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Boxcox Power Transformation |
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S3 Class "boxcox" |
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Boxcox Power Transformation for Type I Censored Data |
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S3 Class "boxcoxCensored" |
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S3 Class "boxcoxLm" |
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Apply a Box-Cox Power Transformation to a Set of Data |
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Fit a Calibration Line or Curve |
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S3 Class "calibrate" |
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Plot Two Cumulative Distribution Functions |
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Plot Two Cumulative Distribution Functions Based on Censored Data |
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Plot Cumulative Distribution Function |
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Chen's Modified One-Sided t-test for Skewed Distributions |
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Half-Width of Confidence Interval for Binomial Proportion or Difference Between Two Proportions |
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Sample Size for Specified Half-Width of Confidence Interval for Binomial Proportion or Difference Between Two Proportions |
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Half-Width of Confidence Interval for Normal Distribution Mean or Difference Between Two Means |
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Sample Size for Specified Half-Width of Confidence Interval for Normal Distribution Mean or Difference Between Two Means |
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Compute Confidence Level Associated with a Nonparametric Confidence Interval for a Quantile |
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Sample Size for Nonparametric Confidence Interval for a Quantile |
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Table of Confidence Intervals for Mean or Difference Between Two Means |
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Table of Confidence Intervals for Proportion or Difference Between Two Proportions |
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Sample Coefficient of Variation. |
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Determine Detection Limit |
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Choose Best Fitting Distribution Based on Goodness-of-Fit Tests |
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S3 Class "distChoose" |
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Choose Best Fitting Distribution Based on Goodness-of-Fit Tests for Censored Data |
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S3 Class "distChooseCensored" |
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Estimate Parameters of a Beta Distribution |
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Estimate Parameter of a Binomial Distribution |
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Empirical Cumulative Distribution Function Plot |
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Empirical Cumulative Distribution Function Plot Based on Type I Censored Data |
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Estimate Parameters of an Extreme Value (Gumbel) Distribution |
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Estimate Rate Parameter of an Exponential Distribution |
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Estimate Parameters of Gamma Distribution |
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Estimate Mean and Coefficient of Variation for a Gamma Distribution Based on Type I Censored Data |
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Estimate Shape and Scale Parameters for a Gamma Distribution Based on Type I Censored Data |
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Estimate Probability Parameter of a Geometric Distribution |
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Estimate Parameters of a Generalized Extreme Value Distribution |
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Estimate Parameter of a Hypergeometric Distribution |
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Estimate Parameters of a Lognormal Distribution (Log-Scale) |
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Estimate Parameters of a Three-Parameter Lognormal Distribution (Log-Scale) |
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Estimate Parameters of a Lognormal Distribution (Original Scale) |
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Estimate Parameters for a Lognormal Distribution (Original Scale) Based on Type I Censored Data |
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Estimate Parameters for a Lognormal Distribution (Log-Scale) Based on Type I Censored Data |
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Estimate Parameters of a Logistic Distribution |
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Estimate Probability Parameter of a Negative Binomial Distribution |
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Estimate Parameters of a Normal (Gaussian) Distribution |
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Estimate Parameters for a Normal Distribution Based on Type I Censored Data |
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Estimate Mean, Standard Deviation, and Standard Error Nonparametrically |
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Estimate Mean, Standard Deviation, and Standard Error Nonparametrically Based on Censored Data |
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Estimate Parameters of a Pareto Distribution |
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Plot Empirical Probability Density Function |
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Estimate Parameter of a Poisson Distribution |
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Estimate Mean of a Poisson Distribution Based on Type I Censored Data |
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Estimate Quantiles of a Beta Distribution |
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Estimate Quantiles of a Binomial Distribution |
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Estimate Quantiles of an Extreme Value (Gumbel) Distribution |
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Estimate Quantiles of an Exponential Distribution |
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Estimate Quantiles of a Gamma Distribution |
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Estimate Quantiles of a Geometric Distribution |
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Estimate Quantiles of a Generalized Extreme Value Distribution |
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Estimate Quantiles of a Hypergeometric Distribution |
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Estimate Quantiles of a Lognormal Distribution |
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Estimate Quantiles of a Three-Parameter Lognormal Distribution |
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Estimate Quantiles of a Lognormal Distribution Based on Type I Censored Data |
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Estimate Quantiles of a Logistic Distribution |
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Estimate Quantiles of a Negative Binomial Distribution |
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Estimate Quantiles of a Normal Distribution |
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Estimate Quantiles of a Normal Distribution Based on Type I Censored Data |
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Estimate Quantiles of a Distribution Nonparametrically |
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Estimate Quantiles of a Pareto Distribution |
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Estimate Quantiles of a Poisson Distribution |
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Estimate Quantiles of a Uniform Distribution |
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Estimate Quantiles of a Weibull Distribution |
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Estimate Quantiles of a Zero-Modified Lognormal (Delta) Distribution |
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Estimate Quantiles of a Zero-Modified Normal Distribution |
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Plot Pointwise Error Bars |
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S3 Class "estimate" |
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S3 Class "estimateCensored" |
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Estimate Parameters of a Uniform Distribution |
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Expected Value of Order Statistics for Random Sample from Standard Normal Distribution |
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Estimate Parameters of a Weibull Distribution |
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Estimate Parameters of a Zero-Modified Lognormal (Delta) Distribution |
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Estimate Parameters of a Zero-Modified Normal Distribution |
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Geometric Mean |
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Geometric Standard Deviation. |
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1-D Scatter Plots with Confidence Intervals Using ggplot2 |
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S3 Class "gof" |
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S3 Class "gofCensored" |
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S3 Class "gofGroup" |
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Goodness-of-Fit Test for a Specified Probability Distribution for Groups |
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S3 Class "gofOutlier" |
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Goodness-of-Fit Test |
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Goodness-of-Fit Test for Normal or Lognormal Distribution Based on Censored Data |
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S3 Class "gofTwoSample" |
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Generalized Pivotal Quantity for Confidence Interval for the Mean of a Normal Distribution Based on Censored Data |
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Generalized Pivotal Quantity for Tolerance Interval for a Normal Distribution Based on Censored Data |
S3 Class "htest" |
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S3 Class "htestCensored" |
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Predict Concentration Using Calibration |
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Interquartile Range |
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Nonparametric Test for Monotonic Trend Within Each Season Based on Kendall's Tau Statistic |
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Kendall's Nonparametric Test for Montonic Trend |
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Coefficient of (Excess) Kurtosis |
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Estimate \(L\)-Moments |
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Sample Size for a t-Test for Linear Trend |
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Power of a t-Test for Linear Trend |
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Scaled Minimal Detectable Slope for a t-Test for Linear Trend |
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Convert a Long Format Data Set into a Wide Format |
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Show the EnvStats NEWS File |
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Fisher's One-Sample Randomization (Permutation) Test for Location |
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Plot Probability Density Function |
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S3 Class "permutationTest" |
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Plot Results of Box-Cox Transformations |
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Plot Results of Box-Cox Transformations Based on Type I Censored Data |
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Plot Results of Box-Cox Transformations for a Linear Model |
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Plot Results of Goodness-of-Fit Test |
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Plot Results of Goodness-of-Fit Test Based on Censored Data |
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Plot Results of Group Goodness-of-Fit Test |
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Plot Results of Goodness-of-Fit Test to Compare Two Samples |
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Plot Results of Permutation Test |
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Create Plots for a Sampling Design Based on a One-Way Fixed-Effects Analysis of Variance |
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Plots for Sampling Design Based on Confidence Interval for Binomial Proportion or Difference Between Two Proportions |
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Plots for Sampling Design Based on Confidence Interval for Mean of a Normal Distribution or Difference Between Two Means |
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Plots for Sampling Design Based on Nonparametric Confidence Interval for a Quantile |
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Plots for a Sampling Design Based on a t-Test for Linear Trend |
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Power Curves for Sampling Design for Test Based on Simultaneous Prediction Interval for Lognormal Distribution |
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Power Curves for Sampling Design for Test Based on Prediction Interval for Lognormal Distribution |
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Plots for a Sampling Design Based on a Prediction Interval for the Next \(k\) Observations from a Normal Distribution |
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Power Curves for Sampling Design for Test Based on Simultaneous Prediction Interval for Normal Distribution |
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Power Curves for Sampling Design for Test Based on Prediction Interval for Normal Distribution |
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Plots for a Sampling Design Based on a Nonparametric Prediction Interval |
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Plots for a Sampling Design Based on a Simultaneous Nonparametric Prediction Interval |
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Power Curves for Sampling Design for Test Based on Nonparametric Simultaneous Prediction Interval |
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Plots for Sampling Design Based on One- or Two-Sample Proportion Test |
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Plots for a Sampling Design Based on a One- or Two-Sample t-Test |
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Plots for a Sampling Design Based on a One- or Two-Sample t-Test, Assuming Lognormal Data |
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Plots for a Sampling Design Based on a Tolerance Interval for a Normal Distribution |
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Plots for a Sampling Design Based on a Nonparametric Tolerance Interval |
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Pointwise Confidence Limits for Predictions |
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Plotting Positions for Type I Censored Data |
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Prediction Interval for Gamma Distribution |
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Simultaneous Prediction Interval for a Gamma Distribution |
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Prediction Interval for a Lognormal Distribution |
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Probability That at Least One Set of Future Observations Violates the Given Rule Based on a Simultaneous Prediction Interval for a Lognormal Distribution |
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Probability That at Least One Future Observation Falls Outside a Prediction Interval for a Lognormal Distribution |
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Simultaneous Prediction Interval for a Lognormal Distribution |
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Prediction Interval for a Normal Distribution |
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Half-Width of a Prediction Interval for the next \(k\) Observations from a Normal Distribution |
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Compute the Value of \(K\) for a Prediction Interval for a Normal Distribution |
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Sample Size for a Specified Half-Width of a Prediction Interval for the next \(k\) Observations from a Normal Distribution |
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Simultaneous Prediction Interval for a Normal Distribution |
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Compute the Value of \(K\) for a Simultaneous Prediction Interval for a Normal Distribution |
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Probability That at Least One Set of Future Observations Violates the Given Rule Based on a Simultaneous Prediction Interval for a Normal Distribution |
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Probability That at Least One Future Observation Falls Outside a Prediction Interval for a Normal Distribution |
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Nonparametric Prediction Interval for a Continuous Distribution |
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Confidence Level for Nonparametric Prediction Interval for Continuous Distribution |
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Sample Size for a Nonparametric Prediction Interval for a Continuous Distribution |
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Nonparametric Simultaneous Prediction Interval for a Continuous Distribution |
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Confidence Level of Simultaneous Nonparametric Prediction Interval for Continuous Distribution |
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Sample Size for Simultaneous Nonparametric Prediction Interval for Continuous Distribution |
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Probability That at Least One Set of Future Observations Violates the Given Rule Based on a Nonparametric Simultaneous Prediction Interval |
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Prediction Interval for a Poisson Distribution |
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Model Predictions |
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Predict Method for Linear Model Fits |
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Print Output of Objective for Box-Cox Power Transformations |
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Print Output of Objective for Box-Cox Power Transformations Based on Type I Censored Data |
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Print Output of Objective for Box-Cox Power Transformations for an "lm" Object |
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Print Output of Goodness-of-Fit Tests |
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Print Output of Goodness-of-Fit Tests |
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Print Objects of Class "estimate" |
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Print Objects of Class "estimateCensored" |
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Print Output of Goodness-of-Fit Tests |
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Print Output of Goodness-of-Fit Tests Based on Censored Data |
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Print Output of Group Goodness-of-Fit Tests |
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Print Output of Goodness-of-Fit Outlier Tests |
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Print Output of Two-Sample Goodness-of-Fit Tests |
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Print Output of Hypothesis Tests Based on Censored Data |
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Print Output of Hypothesis Tests |
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Print Output of Permutation Tests |
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Print Summary Statistics |
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Minimal Detectable Difference Associated with a One- or Two-Sample Proportion Test |
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Compute Sample Size Necessary to Achieve a Specified Power for a One- or Two-Sample Proportion Test |
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Compute the Power of a One- or Two-Sample Proportion Test |
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Estimate Probability-Weighted Moments |
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Quantile-Quantile (Q-Q) Plot |
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Quantile-Quantile (Q-Q) Plot for Type I Censored Data |
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Develop Gestalt of Q-Q Plots for Specific Distributions |
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Two-Sample Rank Test to Detect a Shift in a Proportion of the "Treated" Population |
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Compute p-Value for the Quantile Test |
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Rosner's Test for Outliers |
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Test for the Presence of Serial Correlation |
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One-Sample or Paired-Sample Sign Test on a Median |
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Simulate a Multivariate Matrix Based on a Specified Rank Correlation Mat |
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Simulate a Vector of Random Numbers From a Specified Theoretical or Empirical Probability Distribution |
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Coefficient of Skewness |
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Add Text Indicating the Mean and Standard Deviation to a ggplot2 Plot |
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Add Text Indicating the Median and Interquartile Range to a ggplot2 Plot |
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Add Text Indicating the Sample Size to a ggplot2 Plot |
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Add Text to a ggplot2 Plot Indicating the Results of a Hypothesis Test |
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1-D Scatter Plots with Confidence Intervals |
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Full Complement of Summary Statistics |
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Summary Statistics |
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S3 Class "summaryStats" |
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Type I Error Level for a One- or Two-Sample t-Test |
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Sample Size for a One- or Two-Sample t-Test, Assuming Lognormal Data |
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Power of a One- or Two-Sample t-Test Assuming Lognormal Data |
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Minimal or Maximal Detectable Ratio of Means for One- or Two-Sample t-Test, Assuming Lognormal Data |
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Sample Size for a One- or Two-Sample t-Test |
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Power of a One- or Two-Sample t-Test |
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Scaled Minimal Detectable Difference for One- or Two-Sample t-Test |
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Tolerance Interval for a Gamma Distribution |
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Tolerance Interval for a Lognormal Distribution |
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Tolerance Interval for a Lognormal Distribution Based on Censored Data |
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Tolerance Interval for a Normal Distribution |
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Tolerance Interval for a Normal Distribution Based on Censored Data |
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Half-Width of a Tolerance Interval for a Normal Distribution |
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Compute the Value of \(K\) for a Tolerance Interval for a Normal Distribution |
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Sample Size for a Specified Half-Width of a Tolerance Interval for a Normal Distribution |
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Nonparametric Tolerance Interval for a Continuous Distribution |
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Confidence Level for Nonparametric Tolerance Interval for Continuous Distribution |
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Coverage for Nonparametric Tolerance Interval for Continuous Distribution |
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Sample Size for Nonparametric Tolerance Interval for Continuous Distribution |
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Tolerance Interval for a Poisson Distribution |
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Two-Sample Linear Rank Test to Detect a Difference Between Two Distributions |
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Two-Sample Linear Rank Test to Detect a Difference Between Two Distributions Based on Censored Data |
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Two-Sample or Paired-Sample Randomization (Permutation) Test for Location |
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Randomization (Permutation) Test to Compare Two Proportions (Fisher's Exact Test) |
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Test for Homogeneity of Variance Among Two or More Groups |
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One-Sample Chi-Squared Test on Variance |
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Test Whether the Shape Parameter of a Generalized Extreme Value Distribution is Equal to 0 |