Created
August 7, 2024 07:33
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Example: Getting confidence interval numerically
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| library(rootSolve) | |
| LRtest <- function(p,x,n){ | |
| phat <- x/n | |
| lp <- 2*(dbinom(x, n, phat ,log = TRUE)- | |
| dbinom(x, n, p ,log = TRUE)) | |
| pchisq(lp, 1, lower.tail = FALSE) | |
| } | |
| set.seed(123) | |
| n <- 20 | |
| x <- rbinom(1, n, 0.5) | |
| print(x) | |
| sol <- uniroot.all(function(p)LRtest(p,x,n)-0.05, c(0.1,0.8)) | |
| print(sol) | |
| #cf | |
| res_p <- prop.test(x,n) | |
| print(res_p$conf.int) |
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