prob_detect {grabsampling} | R Documentation |
Probability of detection under the grab sampling method
Description
This function gives the detection probability for t
grab samples and given acceptance number under systematic or random sampling methods. This function is also used to calculate the detection probability for primary increments selection by setting the number of primary increments as one.
Usage
prob_detect(c, r, t, d, p, N, method)
Arguments
c |
acceptance number |
r |
number of primary increments in a grab sample or grab sample size |
t |
number of grab samples |
d |
serial correlation of contamination between the primary increments |
p |
limiting fraction or proportion of contaminated increments |
N |
length of the production |
method |
what sampling method we have applied such as |
Details
The detection probability of entire selected grab samples is given by,
P_D=1-[P(S_t=0)+P(S_t=1)+\cdots +P(S_t=c)]
Value
Probability of detection in all seleceted grab samples
See Also
Examples
c <- 1
r <- 25
t <- 30
d <- 0.99
p <- 0.005
N <- 1e9
method <- 'systematic'
prob_detect(c, r, t, d, p, N, method)