distfree.est {tolerance} | R Documentation |
When providing two of the three quantities n
, alpha
, and P
, this function solves for the
third quantity in the context of distribution-free tolerance intervals.
distfree.est(n = NULL, alpha = NULL, P = NULL, side = 1)
n |
The necessary sample size to cover a proportion P of the population with
confidence 1-alpha . Can be a vector. |
alpha |
1 minus the confidence level attained when it is desired to cover a proportion P
of the population and a sample size n is provided. Can be a vector. |
P |
The proportion of the population to be covered with confidence 1-alpha when a sample size n
is provided. Can be a vector. |
side |
Whether a 1-sided or 2-sided tolerance interval is assumed (determined by side = 1 or side = 2 ,
respectively). |
When providing two of the three quantities n
, alpha
, and P
, distfree.est
returns the
third quantity. If more than one value of a certain quantity is specified, then a table will be returned.
Natrella, M. G. (1963), Experimental Statistics: National Bureau of Standards - Handbook No. 91, United States Government Printing Office, Washington, D.C.
## Solving for 1 minus the confidence level. distfree.est(n = 59, P = 0.95, side = 1) ## Solving for the sample size. distfree.est(alpha = 0.05, P = 0.95, side = 1) ## Solving for the proportion of the population to cover. distfree.est(n = 59, alpha = 0.05, side = 1) ## Solving for sample sizes for many tolerance specifications. distfree.est(alpha = seq(0.01, 0.05, 0.01), P = seq(0.80, 0.99, 0.01), side = 2)