Two references that may be some help,
William Cleveland, The Elements of Graphing Data, Hobart Press, NJ, pgs
143 to 149
Lawrence C Hamilton, Regression with Graphics, Duxbury Press, CA, pgs 11
through 17
Peter
Allin Cottrell wrote:
On Sat, 2 Jan 2010, Sven Schreiber wrote:
> Allin Cottrell schrieb:
>
>> I'm starting to implement the normal Q-Q plot as a built-in
>> command. Question: should we standardize the series to be plotted
>> against the normal?
>>
>> I notice that R does not standardize, but neither does it draw a
>> 45-degree line. If you don't standardize but do draw the
>> 45-degree line, then you get quite odd-looking results for a
>> series that has a substantially non-zero mean and/or a variance
>> that differs substantially from 1.
>>
> I don't know what R does, but in general I'm afraid I don't quite
> understand the question; when you check whether a variable is normally
> distributed, it seems clear to me that of course you compare its
> empirical distribution to the closest member of the normal family/class.
> So you estimate mu and sigma. If that's what is meant, then sure go
> ahead and standardize...
>
There are two options here, which differ only in respect of what
values are shown on the axes: (1) convert the data to z-scores, or
(2) for the x-axis use quantiles of the normal distribution with
mean \hat{mu} and standard deviation \hat{sigma}. I'm not sure if
one of these is more "standard" than the other.
R does neither of these things: the command "qqnorm" plots the
"raw" quantiles of the data against the quantiles of N(0,1).
Allin
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