R r2dtable 具有给定边际的随机 2 向表

说明

使用 Patefield 算法生成具有给定边际的随机 2 向表。

用法

r2dtable(n, r, c)

参数

n	一个非负数字，给出要绘制的表格的数量。
r	长度至少为 2 的非负向量，给出行总数，强制为 integer 。总和必须与 c 相同。
c	长度至少为 2 的非负向量，给出列总计，强制为 integer 。

值

长度为 n 的列表，包含生成的表作为其组件。

例子

## Fisher's Tea Drinker data.
TeaTasting <-
matrix(c(3, 1, 1, 3),
       nrow = 2,
       dimnames = list(Guess = c("Milk", "Tea"),
                       Truth = c("Milk", "Tea")))
## Simulate permutation test for independence based on the maximum
## Pearson residuals (rather than their sum).
rowTotals <- rowSums(TeaTasting)
colTotals <- colSums(TeaTasting)
nOfCases <- sum(rowTotals)
expected <- outer(rowTotals, colTotals) / nOfCases
maxSqResid <- function(x) max((x - expected) ^ 2 / expected)
simMaxSqResid <-
    sapply(r2dtable(1000, rowTotals, colTotals), maxSqResid)
sum(simMaxSqResid >= maxSqResid(TeaTasting)) / 1000
## Fisher's exact test gives p = 0.4857 ...

参考

Patefield, W. M. (1981). Algorithm AS 159: An efficient method of generating r x c tables with given row and column totals. Applied Statistics, 30, 91-97. doi:10.2307/2346669.