Cochran function

Cochran's distribution

Distribution function and quantile function for Cochran's distribution.

qcochran(p, k, n, lower.tail = TRUE, log.p = FALSE)

pcochran(q, k, n, lower.tail = TRUE, log.p = FALSE)

Arguments

• p: vector of probabilities.
• k: number of groups.
• n: (average) sample size of the k groups.
• lower.tail: logical; if TRUE (default), probabilities are $P[X \leq x]$ otherwise, $P[X > x]$.
• log.p: logical; if TRUE, probabilities p are given as log(p).
• q: vector of quantiles.

Returns

pcochran gives the distribution function and qcochran gives the quantile function.

Examples

qcochran(0.05, 7, 3)

References

Cochran, W.G. (1941) The distribution of the largest of a set of estimated variances as a fraction of their total. Ann. Eugen. 11 , 47--52.

Wilrich, P.-T. (2011) Critical values of Mandel's h and k, Grubbs and the Cochran test statistic. Adv. Stat. Anal.. tools:::Rd_expr_doi("10.1007/s10182-011-0185-y") .

See Also

FDist