FcnsByCatPower {EnvStats} R Documentation

## EnvStats Functions for Power and Sample Size Calculations

### Description

The EnvStats functions listed below are useful for power and sample size calculations.

### Details

Confidence Intervals

 Function Name Description ciTableProp Confidence intervals for binomial proportion, or difference between two proportions, following Bacchetti (2010) ciBinomHalfWidth Compute the half-width of a confidence interval for a Binomial proportion or the difference between two proportions. ciBinomN Compute the sample size necessary to achieve a specified half-width of a confidence interval for a Binomial proportion or the difference between two proportions. plotCiBinomDesign Create plots for a sampling design based on a confidence interval for a Binomial proportion or the difference between two proportions. ciTableMean Confidence intervals for mean of normal distribution, or difference between two means, following Bacchetti (2010) ciNormHalfWidth Compute the half-width of a confidence interval for the mean of a Normal distribution or the difference between two means. ciNormN Compute the sample size necessary to achieve a specified half-width of a confidence interval for the mean of a Normal distribution or the difference between two means. plotCiNormDesign Create plots for a sampling design based on a confidence interval for the mean of a Normal distribution or the difference between two means. ciNparConfLevel Compute the confidence level associated with a nonparametric confidence interval for a percentile. ciNparN Compute the sample size necessary to achieve a specified confidence level for a nonparametric confidence interval for a percentile. plotCiNparDesign Create plots for a sampling design based on a nonparametric confidence interval for a percentile.

Hypothesis Tests

 Function Name Description aovN Compute the sample sizes necessary to achieve a specified power for a one-way fixed-effects analysis of variance test. aovPower Compute the power of a one-way fixed-effects analysis of variance test. plotAovDesign Create plots for a sampling design based on a one-way analysis of variance. propTestN Compute the sample size necessary to achieve a specified power for a one- or two-sample proportion test. propTestPower Compute the power of a one- or two-sample proportion test. propTestMdd Compute the minimal detectable difference associated with a one- or two-sample proportion test. plotPropTestDesign Create plots involving sample size, power, difference, and significance level for a one- or two-sample proportion test. tTestAlpha Compute the Type I Error associated with specified values for for power, sample size(s), and scaled MDD for a one- or two-sample t-test. tTestN Compute the sample size necessary to achieve a specified power for a one- or two-sample t-test. tTestPower Compute the power of a one- or two-sample t-test. tTestScaledMdd Compute the scaled minimal detectable difference associated with a one- or two-sample t-test. plotTTestDesign Create plots for a sampling design based on a one- or two-sample t-test. tTestLnormAltN Compute the sample size necessary to achieve a specified power for a one- or two-sample t-test, assuming lognormal data. tTestLnormAltPower Compute the power of a one- or two-sample t-test, assuming lognormal data. tTestLnormAltRatioOfMeans Compute the minimal or maximal detectable ratio of means associated with a one- or two-sample t-test, assuming lognormal data. plotTTestLnormAltDesign Create plots for a sampling design based on a one- or two-sample t-test, assuming lognormal data. linearTrendTestN Compute the sample size necessary to achieve a specified power for a t-test for linear trend. linearTrendTestPower Compute the power of a t-test for linear trend. linearTrendTestScaledMds Compute the scaled minimal detectable slope for a t-test for linear trend. plotLinearTrendTestDesign Create plots for a sampling design based on a t-test for linear trend.

Prediction Intervals

Normal Distribution Prediction Intervals

 Function Name Description predIntNormHalfWidth Compute the half-width of a prediction interval for a normal distribution. predIntNormK Compute the required value of K for a prediction interval for a Normal distribution. predIntNormN Compute the sample size necessary to achieve a specified half-width for a prediction interval for a Normal distribution. plotPredIntNormDesign Create plots for a sampling design based on the width of a prediction interval for a Normal distribution. predIntNormTestPower Compute the probability that at least one future observation (or mean) falls outside a prediction interval for a Normal distribution. plotPredIntNormTestPowerCurve Create plots for a sampling design based on a prediction interval for a Normal distribution. predIntNormSimultaneousTestPower Compute the probability that at least one set of future observations (or means) violates the given rule based on a simultaneous prediction interval for a Normal distribution. plotPredIntNormSimultaneousTestPowerCurve Create plots for a sampling design based on a simultaneous prediction interval for a Normal distribution.

Lognormal Distribution Prediction Intervals

 Function Name Description predIntLnormAltTestPower Compute the probability that at least one future observation (or geometric mean) falls outside a prediction interval for a lognormal distribution. plotPredIntLnormAltTestPowerCurve Create plots for a sampling design based on a prediction interval for a lognormal distribution. predIntLnormAltSimultaneousTestPower Compute the probability that at least one set of future observations (or geometric means) violates the given rule based on a simultaneous prediction interval for a lognormal distribution. plotPredIntLnormAltSimultaneousTestPowerCurve Create plots for a sampling design based on a simultaneous prediction interval for a lognormal distribution.

Nonparametric Prediction Intervals

 Function Name Description predIntNparConfLevel Compute the confidence level associated with a nonparametric prediction interval. predIntNparN Compute the required sample size to achieve a specified confidence level for a nonparametric prediction interval. plotPredIntNparDesign Create plots for a sampling design based on the confidence level and sample size of a nonparametric prediction interval. predIntNparSimultaneousConfLevel Compute the confidence level associated with a simultaneous nonparametric prediction interval. predIntNparSimultaneousN Compute the required sample size for a simultaneous nonparametric prediction interval. plotPredIntNparSimultaneousDesign Create plots for a sampling design based on a simultaneous nonparametric prediction interval. predIntNparSimultaneousTestPower Compute the probability that at least one set of future observations violates the given rule based on a nonparametric simultaneous prediction interval. plotPredIntNparSimultaneousTestPowerCurve Create plots for a sampling design based on a simultaneous nonparametric prediction interval.

Tolerance Intervals

 Function Name Description tolIntNormHalfWidth Compute the half-width of a tolerance interval for a normal distribution. tolIntNormK Compute the required value of K for a tolerance interval for a Normal distribution. tolIntNormN Compute the sample size necessary to achieve a specified half-width for a tolerance interval for a Normal distribution. plotTolIntNormDesign Create plots for a sampling design based on a tolerance interval for a Normal distribution. tolIntNparConfLevel Compute the confidence level associated with a nonparametric tolerance interval for a specified sample size and coverage. tolIntNparCoverage Compute the coverage associated with a nonparametric tolerance interval for a specified sample size and confidence level. tolIntNparN Compute the sample size required for a nonparametric tolerance interval with a specified coverage and confidence level. plotTolIntNparDesign Create plots for a sampling design based on a nonparametric tolerance interval.

[Package EnvStats version 2.8.1 Index]