neghypertol.int | R Documentation |
Provides 1-sided or 2-sided tolerance intervals for negative hypergeometric random variables. When sampling without replacement, these limits are on the total number of expected draws in a future sample in order to achieve a certain number from group A (e.g., "black balls" in an urn).
neghypertol.int(x, n, N, m = NULL, alpha = 0.05, P = 0.99,
side = 1, method = c("EX", "LS", "CC"))
x |
The number of units drawn in order to achieve |
n |
The target number of successes in the sample drawn (e.g., the number of "black balls" you are to draw in the sample). |
N |
The population size (e.g., the total number of balls in the urn). |
m |
The target number of successes to be sampled from the universe for a future study. If |
alpha |
The level chosen such that |
P |
The proportion of units from group A in future samples of size |
side |
Whether a 1-sided or 2-sided tolerance interval is required (determined by |
method |
The method for calculating the lower and upper confidence bounds, which are used in the calculation
of the tolerance bounds. The default method is |
neghypertol.int
returns a data frame with items:
alpha |
The specified significance level. |
P |
The proportion of units from group A in future samples of size |
rate |
The sampling rate determined by |
p.hat |
The proportion of units in the sample from group A, calculated by |
1-sided.lower |
The 1-sided lower tolerance bound. This is given only if |
1-sided.upper |
The 1-sided upper tolerance bound. This is given only if |
2-sided.lower |
The 2-sided lower tolerance bound. This is given only if |
2-sided.upper |
The 2-sided upper tolerance bound. This is given only if |
As this methodology is built using large-sample theory, if the sampling rate is less than 0.05, then a warning is generated stating that the results are not reliable.
Khan, R. A. (1994), A Note on the Generating Function of a Negative Hypergeometric Distribution, Sankhya: The Indian Journal of Statistics, Series B, 56, 309–313.
Young, D. S. (2014), Tolerance Intervals for Hypergeometric and Negative Hypergeometric Variables, Sankhya: The Indian Journal of Statistics, Series B, 77(1), 114–140.
acc.samp
, NegHypergeometric
## 90%/95% 2-sided negative hypergeometric tolerance
## intervals for a future number of 20 successes when
## the universe is of size 100. The estimates are
## based on having drawn 50 in another sample to achieve
## 20 successes.
neghypertol.int(50, 20, 100, m = 20, alpha = 0.05,
P = 0.95, side = 2, method = "LS")
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