[R] Sampling distribution of the range statistic

[Marc Schwartz]

On Thu, 2007-02-15 at 18:44 -0600, Inman, Brant A. M.D. wrote:
> R-helpers:
> 
> In the construction of control charts for statistical quality control
> objectives, one might choose to estimate the control limits for the mean
> using the mean range of the samples.  This requires multiplying the mean
> range by a correction factor, often called "d2", that is tabulated in
> many books. The origin of "d2" seems to be table 2 of the following
> paper:
> 
> Harter, HL.  Ann Math Stat (1960) 31: 1122.
> 
> In Table 2 of this paper, the mean of the sampling distribution of the
> range statistic is calculated for various sample sizes.  Does anyone
> know whether R has a function that can reproduce the sampling
> distribution of the range represented in the Harter paper so that I
> don't have to look at tables in old books?
> 
> Brant

Brant,

You might want to look at the 'qcc' package on CRAN.  Brief info here:

  http://cran.us.r-project.org/src/contrib/Descriptions/qcc.html

Also, take a look at the Qtoolbox at:

  http://www.cmis.csiro.au/S-PLUS/qtoolbox/R.html

HTH,

Marc Schwartz