[英]uniroot() in vectorized R functions
在下面的函數中,我想知道為什么當我將向量用作參數d
, 當我將向量用作參數t
時 ,函數可以正常使用 ,但函數( 來自uniroot
)會拋出錯誤: f() values at end points not of opposite sign
cii <- function(d, t = NA, n1, n2 = NA, conf.level = .95){
ci <- Vectorize(function(d, t, n1, n2, conf.level){
options(warn = -1)
alpha = (1 - conf.level)/2
N = ifelse(is.na(n2), n1, (n1 * n2)/(n1 + n2))
df = ifelse(is.na(n2), n1 - 1, (n1 + n2) - 2)
d.SE = 1/sqrt(N)
q = ifelse(is.na(t), d/d.SE, t)
f <- function(ncp, alpha, q, df){
alpha - suppressWarnings(pt(q, df, ncp, lower.tail = FALSE))
}
CI <- sapply(c(alpha, 1-alpha),
function(x) uniroot(f, interval = c(0, q+2e2), alpha = x, q = q, df = df)[[1]]*d.SE)
CI
})
d <- if(missing(d)) NA else d
data.frame(t(ci(d = d, t = t, n1 = n1, n2 = n2, conf.level = conf.level)))
}
# EXAMPLES OF USE:
cii(d = c(2, 3), n1 = 30) # Works perfectly fine!
cii(t = c(2, 3), n1 = 30) # Throws error: `f() values at end points not of opposite sign`
它與向量化無關,但是帶有t
的q
的值為2。端點( 即 0和202)都為負,因此uniroot()
假定它未過零。
> f(ncp= 0, alpha=0.025, q=2, df=29 )
[1] -0.002471819
> f(ncp=202, alpha=0.025, q=2, df=29 )
[1] -0.975
當t
為3時,它確實會過零。
> f(ncp= 0, alpha=0.025, q=3, df=29 )
[1] 0.0222504
> f(ncp=202, alpha=0.025, q=3, df=29 )
[1] -0.975
該圖表明它剛好在零以下,並且永遠不會接近。
curve(f(ncp=x, alpha=0.025, q=2, df=29 ), 0, 202)
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