Description Usage Arguments Details Value References See Also Examples
Provides 1sided or 2sided nonparametric (i.e., distributionfree) tolerance intervals for any continuous data set.
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x 
A vector of data which no distributional assumptions are made. The data is only assumed to come from a continuous distribution. 
alpha 
The level chosen such that 
P 
The proportion of the population to be covered by this tolerance interval. 
side 
Whether a 1sided or 2sided tolerance interval is required (determined by 
method 
The method for determining which indices of the ordered observations will be used for the tolerance intervals.

upper 
The upper bound of the data. When 
lower 
The lower bound of the data. When 
For the YoungMathew method, interpolation or extrapolation is performed. When side = 1
, two intervals are given: one based on linear interpolation/extrapolation of order statistics (OSBased
) and one based on fractional order statistics (FOSBased
). When side = 2
, only an interval based on linear interpolation/extrapolation of order statistics is given.
nptol.int
returns a data frame with items:
alpha 
The specified significance level. 
P 
The proportion of the population covered by this tolerance interval. 
1sided.lower 
The 1sided lower tolerance bound. This is given only if 
1sided.upper 
The 1sided upper tolerance bound. This is given only if 
2sided.lower 
The 2sided lower tolerance bound. This is given only if 
2sided.upper 
The 2sided upper tolerance bound. This is given only if 
Bury, K. (1999), Statistical Distributions in Engineering, Cambridge University Press.
Hahn, G. J. and Meeker, W. Q. (1991), Statistical Intervals: A Guide for Practitioners, WileyInterscience.
Wald, A. (1943), An Extension of Wilks' Method for Setting Tolerance Limits, The Annals of Mathematical Statistics, 14, 45–55.
Wilks, S. S. (1941), Determination of Sample Sizes for Setting Tolerance Limits, The Annals of Mathematical Statistics, 12, 91–96.
Young, D. S. and Mathew, T. (2014), Improved Nonparametric Tolerance Intervals Based on Interpolated and Extrapolated Order Statistics, Journal of Nonparametric Statistics, 26, 415–432.
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