| 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 |
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. |