PlotStandardisedQQWithComparisons
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Function Description
Returns a standardised QuantileQuantile (‘QQ’) plot with
some extra comparisons. More precisely, returns a string which is the
(temporary) code for a SmartChart
that plots such information.
A standardised QQplot for a series of observations produces
a plot of the observed quantile value versus the expected quantile value, with
the series ‘standardised’ to have zero mean and unit standard deviation using a
formula along the lines of:
where is the
(sample) standard deviation of the data series .
The extra comparisons available are:
(a) The
corresponding Cornish
Fisher (4th moment) asymptotic expansion, which in effect makes use of just
the skew and kurtosis to estimate the shape of the QQ plot (set IncludeCF4
as true if you want these comparisons); and
(b) The corresponding standard
weighted cubic curve fit (set IncludeWCCF as true if you want these
comparisons).
To allow users to plot several different series together,
this function takes as input two different arrays, one containing all of the
input data for all of the series (i.e. InputData), positioned
consecutively and the other containing the number of entries in each series
(i.e. InputDataSizes). So if InputDataSizes is {3,4} then two
series are being analysed simultaneously, the first with three data points and
the second with four, so InputData should have seven entries, the first
three of which are for the first series and the last four for the second
series.
For further details on how to use the ChartFormat
parameter to format a chart see using the ChartFormat
parameter.
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