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PlotStandardisedUpwards1dQQ

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Function Description

Returns a standardised ‘upwards’ (1-dimensional) Quantile-Quantile (‘QQ’) plot. More precisely, returns a string which is the (temporary) code for a SmartChart that plots such information.

 

A standardised QQ-plot 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 .

 

A standardised ‘upwards’ QQ-plot is one where the bottom half of this plot is flipped across the x-axis. It is particularly useful as a precursor to a standardised 2-dimensional plot, which provides a compact visual representation of how two series may jointly diverge from normality in their extremities.

 

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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