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stats[transform, split] - split one data list into several
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Calling Sequence
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stats[transform, split[n]](data)
transform[split[n]](data)
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Parameters
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n
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positive integer
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data
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-
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statistical list
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Description
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The function split of the subpackage stats[transform, ...] splits the data list, data, into n data lists of same weight.
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Missing items are taken into account.
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This function is useful in constructing histograms where each bar has the same area.
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Examples
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Important: The stats package has been deprecated. Use the superseding package Statistics instead.
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![data := [1, 2, 3, 4, 5]](/support/helpjp/helpview.aspx?si=9148/file07545/math99.png)
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![data := [1, 2, 3, 4, 5]](/support/helpjp/helpview.aspx?si=9148/file07545/math102.png)
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![transform[split[3]](data)](/support/helpjp/helpview.aspx?si=9148/file07545/math106.png)
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![[[1, Weight(2, 2/3)], [Weight(2, 1/3), 3, Weight(4, 1/3)], [Weight(4, 2/3), 5]]](/support/helpjp/helpview.aspx?si=9148/file07545/math109.png)
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The following is an extended example where a list of numbers will be randomly generated, used in a histogram which will be compared to the theoretical distribution. Generate 300 numbers (reduce this number for faster results), randomly generated with a normal distribution
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]](/support/helpjp/helpview.aspx?si=9148/file07545/math115.png)
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Sort the data.
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](/support/helpjp/helpview.aspx?si=9148/file07545/math121.png)
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Number of lists is set to 5 (increase it for a better resolution, but ensure there are enough points in the list).
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Split into lists of equal weight.
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![Split_lists := transform[split[N_list]](Numbers_sorted)](/support/helpjp/helpview.aspx?si=9148/file07545/math133.png)
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Obtain classes of equal weight from those lists. Make the total weight equal to 1.
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, 1/N_list) end proc, Split_lists)](/support/helpjp/helpview.aspx?si=9148/file07545/math139.png)
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Construct histogram:
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](/support/helpjp/helpview.aspx?si=9148/file07545/math145.png)
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Create a theoretical curve
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![Theor := plot(statevalf[pdf, normald], describe[range](Numbers))](/support/helpjp/helpview.aspx?si=9148/file07545/math151.png)
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Display both the theoretical curve and the histogram.
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](/support/helpjp/helpview.aspx?si=9148/file07545/math157.png)
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Download Help Document
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