| barplot.mandel.kh | R Documentation | 
barplot.mandel.kh produces a bar plot of Mandel's statistics, suitably
grouped and with appropriate indicator lines for unusual values.
	## S3 method for class 'mandel.kh'
barplot(height, probs = c(0.95, 0.99), main,
		xlab = attr(height, "grouped.by"), 
		ylab = attr(height, "mandel.type"), separators = TRUE, 
		zero.line = TRUE, ylim, p.adjust = "none", 
		frame.plot = TRUE, ..., 
		col.ind = 1, lty.ind = c(2, 1), lwd.ind = 1, 
		col.sep = "lightgrey", lwd.sep = 1, lty.sep = 1, 
		lwd.zero = 1, col.zero = 1, lty.zero = 1)
| height | An object of class  | 
| probs | Indicator lines are drawn for these probabilities. Note that
 | 
| main | a main title for the plot. If missing, the default is
 | 
| xlab | a label for the x axis; defaults to the  | 
| ylab | a label for the x axis; defaults to the  | 
| separators | Logical; if  | 
| zero.line | logical; if  | 
| ylim | the y limits of the plot. For Mandel's k, the default lower limit is zero. | 
| p.adjust | Correction method for probabilities. If not  | 
| frame.plot | Logical; If  | 
| ... | Other (usually graphical) parameters passed to  | 
| col.ind,lty.ind,lwd.ind | Graphical parameters used for the indicator lines, recyckled to  | 
| col.sep,lwd.sep,lty.sep | Graphical parameters used for the separator lines. | 
| lwd.zero,col.zero,lty.zero | Graphical parameters used for the zero line. | 
Mandel's statistics are traditionally plotted for inter-laboratory study data, grouped by laboratory, to give a rapid graphical view of laboratory bias and relative precision. This plot produces a grouped, side-by-side bar plot.
For classical Mandel statistics, indicator lines are drawn based on qmandelh
or  qmandelk as appropriate. For robust variants, indicator lines use
qnorm for the h statistic and qf(probs, n, Inf) for 
the k statistic. Note that this corresponds to taking the robust estimates of 
location and scale as true values, so will be somewhat anticonservative.
barplot.mandel.kh returns a numeric vector of mid-points of the groups along the x-axis.
S Ellison s.ellison@lgcgroup.com
Accuracy (trueness and precision) of measurement methods and results – Part 2: Basic method for the determination of repeatability and reproducibility of a standard measurement method. ISO, Geneva (1994).
mandel.h, mandel.k, mandel.kh,
pmandelh, pmandelk  for probabilities, quantiles etc.
See plot.mandel.kh for the 'classic' Mandel plot.
   data(RMstudy)
   h <- with(RMstudy, mandel.h(RMstudy[2:9], g=Lab))
   barplot(h, las=2) # Lab 4 shows consistent low bias; 
                  # Lab 23 several extreme values.
   #Use colours to identify particular measurands:
   barplot(h, las=2, col=1:8)
   legend("bottomleft", legend=names(h), fill=1:8, cex=0.7, bg="white")
   
   #Example of Mandel's k:
   k <- with(RMstudy, mandel.k(RMstudy[2:9], g=Lab))
   barplot(k, las=2) # Lab 8 looks unusually variable; 
                  # Lab 14 unusually precise
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