FcnsByCatCensoredData: EnvStats Functions for Censored Data
Description
The EnvStats functions listed below are useful for dealing with Type I censored data.concept
Less Than Detection LimitDetails
Data Transformations
ll{
Function Name Description
boxcoxCensored
Compute values of an objective for Box-Cox Power
transformations, or compute optimal transformation,
for Type I censored data.
print.boxcoxCensored
Print an object of class "boxcoxCensored"
.
plot.boxcoxCensored
Plot an object of class "boxcoxCensored"
.
}
Estimating Distribution Parameters
ll{
Function Name Description
egammaCensored
Estimate shape and scale parameters for a gamma distribution
based on Type I censored data.
egammaAltCensored
Estimate mean and CV for a gamma distribution
based on Type I censored data.
elnormCensored
Estimate parameters for a lognormal distribution (log-scale)
based on Type I censored data.
elnormAltCensored
Estimate parameters for a lognormal distribution (original scale)
based on Type I censored data.
enormCensored
Estimate parameters for a Normal distribution based on Type I
censored data.
epoisCensored
Estimate parameter for a Poisson distribution based on Type I
censored data.
enparCensored
Estimate the mean and standard deviation nonparametrically.
gpqCiNormSinglyCensored
Generate the generalized pivotal quantity used to construct a
confidence interval for the mean of a Normal distribution based
on Type I singly censored data.
gpqCiNormMultiplyCensored
Generate the generalized pivotal quantity used to construct a
confidence interval for the mean of a Normal distribution based
on Type I multiply censored data.
print.estimateCensored
Print an object of class "estimateCensored"
.
}
Estimating Distribution Quantiles
ll{
Function Name Description
eqlnormCensored
Estimate quantiles of a Lognormal distribution (log-scale)
based on Type I censored data, and optionally construct
a confidence interval for a quantile.
eqnormCensored
Estimate quantiles of a Normal distribution
based on Type I censored data, and optionally construct
a confidence interval for a quantile.
}
All of the functions for computing quantiles (and associated confidence intervals) for complete (uncensored)
data are listed in the help file Estimating Distribution Quantiles. All of these functions, with
the exception of eqnpar
, will accept an object of class
"estimateCensored"
. Thus, you may estimate
quantiles (and construct approximate confidence intervals) for any distribution for which:
- There exists a function to estimate distribution parameters using censored data
(see the sectionEstimating Distribution Parametersabove).
- There exists a function to estimate quantiles for that distribution based on complete data
(see the help fileEstimating Distribution Quantiles).
Nonparametric estimates of quantiles (and associated confidence intervals) can be constructed from censored
data as long as the order statistics used in the results are above all left-censored observations or below
all right-censored observations. See the help file for eqnpar
for more information and
examples.
Goodness-of-Fit Tests
ll{
Function Name Description
gofTestCensored
Perform a goodness-of-fit test based on Type I left- or
right-censored data.
print.gofCensored
Print an object of class "gofCensored"
.
plot.gofCensored
Plot an object of class "gofCensored"
.
}
Hypothesis Tests
ll{
Function Name Description
twoSampleLinearRankTestCensored
Perform two-sample linear rank tests based on
censored data.
print.htestCensored
Printing method for object of class
"htestCensored"
.
}
Plotting Probability Distributions
ll{
Function Name Description
cdfCompareCensored
Plot two cumulative distribution functions based on Type I
censored data.
ecdfPlotCensored
Plot an empirical cumulative distribution function based on
Type I censored data.
ppointsCensored
Compute plotting positions for Type I censored data.
qqPlotCensored
Produce quantile-quantile (Q-Q) plots, also called probability
plots, based on Type I censored data.
}
Prediction and Tolerance Intervals
ll{
Function Name Description
gpqTolIntNormSinglyCensored
Generate the generalized pivotal quantity used to construct a
tolerance interval for a Normal distribution based
on Type I singly censored data.
gpqTolIntNormMultiplyCensored
Generate the generalized pivotal quantity used to construct a
tolerance interval for a Normal distribution based
on Type I multiply censored data.
tolIntLnormCensored
Tolerance interval for a lognormal distribution (log-scale)
based on Type I censored data.
tolIntNormCensored
Tolerance interval for a Normal distribution based on Type I
censored data.
}
All of the functions for computing prediction and tolerance intervals for complete (uncensored)
data are listed in the help files Prediction Intervals and Tolerance Intervals.
All of these functions, with the exceptions of predIntNpar
and tolIntNpar
,
will accept an object of class "estimateCensored"
. Thus, you
may construct approximate prediction or tolerance intervals for any distribution for which:
- There exists a function to estimate distribution parameters using censored data
(see the sectionEstimating Distribution Parametersabove).
- There exists a function to create a prediction or tolerance interval for that
distribution based on complete data (see the help filesPrediction IntervalsandTolerance Intervals).
Nonparametric prediction and tolerance intervals can be constructed from censored
data as long as the order statistics used in the results are above all left-censored observations or below
all right-censored observations. See the help files for predIntNpar
,
predIntNparSimultaneous
, and tolIntNpar
for more information and examples.