AgreementInterval (version 0.1.1)

tolProb: tolProb

Description

Function tolProb calculates tolerance probability based on sample size (n), number of discordance pairs (k) and discordance rate (alpha).

Usage

tolProb(n, k, alpha = 0.05)

Arguments

n

Sample size

k

Number of discordance pairs, discordance pairs are defined as samples with difference greater than average interval

alpha

Discordance rate, default 0.05.

Value

tolerance probability

Details

Function tolProb calculates tolearance probability based on sample size(n), number of discordance pairs (k) and discordance rate (alpha). Its value is calculated as the largest value such that the following inequality is true: $$1-\sum _{i=0}^{k} {n\choose i} * {(1-\alpha)}^{n-i} * {\alpha}^i \ge \beta$$

References

Jason J. Z. Liao, Quantifying an Agreement Study, Int. J. Biostat. 2015; 11(1): 125-133

Examples

# NOT RUN {
tolProb(n=52, k=5, alpha=0.05)
tolProb(n=52, k=0, alpha=0.05)
# }