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showcumulative : truefalse; controls the display of a cumulative sum chart for the total proportion of variance. The default is true.

color : list, name, string; controls the colors for the column graph and the cumulative sum chart respectively. By default, the color list is [ "Niagara Azure", "Niagara Burgundy" ].

columngraphoptions : list; options to be passed to the Statistics:-ColumnGraph command

cumulativesumoptions : list; options to be passed to the Statistics:-CumulativeSumChart command

The ScreePlot command is used to generate a plot of the proportion of the total variation attributable to each component in a principal component analysis. This is useful in determining the number of components required to summarize the data.

In the case that a dataset or DataFrame is given as the main argument for the ScreePlot command, a principal component analysis is performed and the resulting plot of components is shown.

When the showcumulative option is set to false, any plotoptions added to the ScreePlot command are passed to Statistics:-ColumnGraph. When showcumulative is set to true (the default), any plotoptions are passed to plots:-dualaxisplot.

$\mathrm{with}\left(\mathrm{Statistics}\right)\:$

$\mathrm{data}≔⟨⟨2.5\left|2.4\right|10.5⟩\,⟨0.5\left|0.7\right|0.785⟩\,⟨2.2\left|2.9\right|1.286⟩\,⟨1.9\left|2.2\right|2.35⟩\,⟨3.1\left|3.0\right|2.202⟩\,⟨2.3\left|2.7\right|1.351⟩\,⟨2.0\left|1.6\right|2.021⟩\,⟨1.0\left|1.1\right|1.247⟩\,⟨1.5\left|1.6\right|2.503⟩\,⟨1.1\left|0.9\right|1.214⟩⟩$

$\mathrm{data}≔\left[\begin{array}{ccc}2.5& 2.4& 10.5\\ 0.5& 0.7& 0.785\\ 2.2& 2.9& 1.286\\ 1.9& 2.2& 2.35\\ 3.1& 3.0& 2.202\\ 2.3& 2.7& 1.351\\ 2.0& 1.6& 2.021\\ 1.0& 1.1& 1.247\\ 1.5& 1.6& 2.503\\ 1.1& 0.9& 1.214\end{array}\right]$

$\mathrm{PCAnalysis}≔\mathrm{PCA}\left(\mathrm{data}\,\mathrm{summarize}=\mathrm{true}\right)\:$

summary:

Values proportion of variance St. Deviation
8.3208 0.8782 2.8846
1.1119 0.1173 1.0545
0.0425 0.0045 0.2061

$\mathrm{ScreePlot}\left(\mathrm{PCAnalysis}\right)$

$\mathrm{data2}≔⟨⟨2.5\left|2.4\right|10.5\left|0.1\right|0.5⟩\,⟨0.5\left|0.7\right|0.785\left|4.3\right|2.0⟩\,⟨2.2\left|2.9\right|1.286\left|5.4\right|7.0⟩\,⟨1.9\left|2.2\right|2.35\left|6.7\right|3.1⟩\,⟨3.1\left|3.0\right|2.202\left|8.1\right|12⟩\,⟨0.1\left|0.4\right|0.5\left|0.6\right|0.9⟩⟩$

$\mathrm{data2}≔\left[\begin{array}{ccccc}2.5& 2.4& 10.5& 0.1& 0.5\\ 0.5& 0.7& 0.785& 4.3& 2.0\\ 2.2& 2.9& 1.286& 5.4& 7.0\\ 1.9& 2.2& 2.35& 6.7& 3.1\\ 3.1& 3.0& 2.202& 8.1& 12\\ 0.1& 0.4& 0.5& 0.6& 0.9\end{array}\right]$

$\mathrm{ScreePlot}\left(\mathrm{data2}\,\mathrm{color}=\left[''LightSteelBlue''\,''OrangeRed''\right]\right)$

$\mathrm{data3}≔\mathrm{Sample}\left(\mathrm{Uniform}\left(1\,10\right)\,\left[10\,15\right]\right)\:$

$\mathrm{interface}\left(\mathrm{displayprecision}=3\right)\:$

$\mathrm{ScreePlot}\left(\mathrm{data3}\,\mathrm{showcumulative}=\mathrm{false}\,\mathrm{columngraphoptions}=\left[\mathrm{datasetlabels}=\mathrm{absolute}\right]\right)$

The Statistics[ScreePlot] command was introduced in Maple 2016.

For more information on Maple 2016 changes, see Updates in Maple 2016 .