我是R的新手,想了解它可以为控制图表做些什么。我已经阅读了关于qcc的文章,并根据我自己的数据集在R studio中创建了样本图表,以生成图形或简单的基础数据。
Shewhart控制/运行规则中的两个似乎是在QCC中实现的(+/- 3 sigma和中心上方/下方的字符串),但是已经定义了更多并且经常在实践中使用。 e.g. Nelson rules
是否有实现这些的R库/函数?除了实现规则之外,我还想支持指定"常量"的选项。与规则有关。例如,引用的文章说"连续八个点。"我希望八是一个参数。我认为qcc命令的$ data输出可以作为参数传递(与规则向量"常量"选项一起),作为回报,将是一个违规点列表和规则违反了数字。
有任何想法/建议吗?
答案 0 :(得分:2)
在我获得博士学位期间,我正与一名医学微生物学家和血清学家一起工作,我们正在研究在R中实施尼尔森规则。
我认为这正是您所期待的(很高兴分享,我无法在互联网上的其他地方找到R实施):
nelsonr1 <- function(x, m = mean(x), s = sd(x)) {
# Nelson's QC rule 1: detect values outside + or -3 sd
which(abs((x - m) / s) >= 3)
}
nelsonr2 <- function(x, m = mean(x), minrun = 9) {
# Nelson's QC rule 2: detect runs of >= 9 points on the same side of the mean
n <- length(x)
counts <- sign(x - m)
result <- counts
for (runlength in 2:minrun)
result <- result + c(counts[runlength:n], rep(0, runlength - 1))
which(abs(result) >= minrun)
}
nelsonr3 <- function(x, minrun = 6) {
# Nelson's QC rule 3: detect strict increase or decrease in >= 6 points in a row
# Between 6 points you have 5 instances of increasing or decreasing. Therefore minrun - 1.
n <- length(x)
signs <- sign(c(x[-1], x[n]) - x)
counts <- signs
for (rl in 2:(minrun - 1)) {
counts <- counts + c(signs[rl:n], rep(0, rl - 1))
}
which(abs(counts) >= minrun - 1)
}
nelsonr4 <- function(x, m = mean(x), minrun = 14, directing_from_mean = FALSE) {
# Nelson's QC rule 4: 14 points in a row alternating in direction from the mean,
# or 14 points in a row alternating in increase and decrease
n <- length(x)
if (directing_from_mean == TRUE) {
signs <- sign(x - m)
} else {
signs <- sign(c(x[-1],x[n]) - x)
}
counts <- signs
fac <- -1
for (rl in 2:minrun) {
counts <- counts + fac * c(signs[rl:n], rep(0, rl - 1))
fac <- -fac
}
counts <- abs(counts)
which(counts >= minrun)
}
nelsonr5 <- function(x, m = mean(x), s = sd(x), minrun = 3) {
# Nelson's QC rule 5: two out of 3 >2 sd from mean in the same direction
n <- length(x)
pos <- 1 * ((x - m) / s > 2)
neg <- 1 * ((x - m) / s < -2)
poscounts <- pos
negcounts <- neg
for (rl in 2:minrun) {
poscounts <- poscounts + c(pos[rl:n], rep(0, rl - 1))
negcounts <- negcounts + c(neg[rl:n], rep(0, rl - 1))
}
counts <- apply(cbind(poscounts, negcounts), 1, max)
which(counts >= minrun -1)
}
nelsonr6 <- function(x, m = mean(x), s = sd(x), minrun = 5) {
# Nelson's QC rule 6: four out of five > 1 sd from mean in the same direction
n <- length(x)
pos <- 1 * ((x - m) / s > 1)
neg <- 1 * ((x - m) / s < -1)
poscounts <- pos
negcounts <- neg
for (rl in 2:minrun) {
poscounts <- poscounts + c(pos[rl:n], rep(0, rl - 1))
negcounts <- negcounts + c(neg[rl:n], rep(0, rl - 1))
}
counts <- apply(cbind(poscounts, negcounts), 1, max)
which(counts >= minrun - 1)
}
nelsonr7 <- function(x, m = mean(x), s = sd(x), minrun = 15) {
# Nelson's QC rule 7: >= 15 points in a row within 1 sd from the mean
n <- length(x)
within <- 1 * (abs((x - m) / s) < 1)
counts <- within
for (rl in 2:minrun)
counts <- counts + c(within[rl:n], rep(0, rl - 1))
which(counts >= minrun)
}
nelsonr8 <- function(x, m = mean(x), s = sd(x), minrun = 8) {
# Nelson's QC rule 8: >= 8 points in a row all outside the m + -1s range
n <- length(x)
outofrange <- 1 * (abs((x - m) / s) > 1)
counts <- outofrange
for (rl in 2:minrun)
counts <- counts + c(outofrange[rl:n], rep(0, rl - 1))
which(counts >= minrun)
}
例如,引用的文章中写着“连续八个点......”我希望将八个作为参数。
对于某些函数中的参数minrun
,这也是如此。