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BandSize bandsize.htm  - Signals item's vectors in % bandwidth of its total. toggles bandwidth +/- using this small scrollbar.

With the small "bandwidth" slider the positive or negative settings act as an instruction to the program. A positive Significance setting doesn't draw lines between the plot items.

Instead all the selected features are displayed and an italisized font denotes items that are within the bandwidth surrounding the Sig value. Features lower than that are in strikethrough font and those above are in normal font.

If the Sig value is negative then the sign of the bandwidth value is used to determine the length and the "Multi Dimensional Sort" which is what I call the procession of linked items.

Others might refer to the Shortest Path tables produced by this method as MDS or Multi-Demensional Scaling or Multi-Dimensional Sorting. Their methods however, which may be as crude as slicing up a paper grid with sissors and shuffling around clusters do not to my knowledge use the PCA loadings as their starting point and would all suffer from the affects of addition, which has been shown not to be as good as an averaging process.

In this case, if the bandwidth is positive then only those items within the bandwidth are connected. These lines are either colored or not depending on whether the Item button is checked.

If the bandwidth is negative then a loop is processed from 100% down to the selected Sig value in steps of the bandwidth and then the end of the Shortest Path at each step of bandwidth is connected to the beginning of the next forming a triangle fan. The contents of this loop is what comprises the Multi Dimensional Sort of all the encompassed items. These items are intended to be output via the "speech" mechanism or the spreadsheet method below.

When changing the bandwidth, its value is printed in the middle of the plot screen. The value to the left of the bandwidth scrollbar is the Significance value not the bandwidth value.

Use the Mode and Style sliders to produce bubble charts.

As a further refinement, the "Multi Dimensional Sort" can be reviewed with the help of the controls that currently populate the top of the Adjust Parameters screen.

Firstly it should be recognized that this is a multi-stage event. Its purpose was initially as an exploration into the nature of the Significance factor compared to the topology of the hypersphere; - which is produced by all the converging eigenvectors that make up a grid.

When "enabled" the table shown above will be filled with groups of entries that make up each display of the "Multi Dimensional Sort". While preparing to collect a sample set of "Shortest Paths" you may need to click the "clear session" command so as to not include in the later summary any data that you don't want.

So, when "enabled" and you click the  control, then for each degree of rotation a new "Multi Dimensional Sort" will be appended to the above table. Because the table can fill up very quickly and because auto spin only occurs when the Step interval  is negative the step counts down to zero and stops.

At this point you can choose to click the "Select All" tab of the "Shortest Path" table and then click the "copy this list -->" control to put all the data from the "Shortest Paths" into the system clipboard for examination by another program, say Excel.

When the copy has been sent to the clipboard the "Shortest Path" table is cleared and the accumulated totals of all the "Shortest Paths" is copied back into it, first by constructs then by elements.

The accumulated totals from all the rotations represents a positional statement of the average of all the routes that each of these "Shortest Paths" took through all the features of the grid that they traversed.

Finally if you select the column heading of these accumulated totals you can then click the "Sort" command and you will get a mixture of elements and constructs in an aggregated "Multi Dimensional Sort". Then by selecting only the first data column and again clicking "copy this list -->" you will put into the system clipboard a summarized textual interpretation of the grid and if you have turned on your speech reader you can listen to inGridX.