D 2012-12-14T00:05:53.990
L BIE\sValue\sHistogram
P d785178cefa603b3fa2c1929a16dab3e8a782271
U Ross
W 4710
<h1>BIE product histograms</h1>

Using the values 1 through 5 as the range for each of Breadth, Impact and Ease, the product of the three yields values from 1 through 125. Out of curiosity, I determined the unique values (by spreadsheet enumeration) and made histograms of them.

<h2>Values</h2>

It turns out there are 30 unique values.

<pre>
Value   Frequency               Percentile              Value   Frequency
1       1       *               1%                      12      9       *********
2       3       ***             3%                      20      9       *********
3       3       ***             6%                      8       7       *******
4       6       ******          10%                     4       6       ******
5       3       ***             13%                     6       6       ******
6       6       ******          18%                     10      6       ******
8       7       *******         23%                     15      6       ******
9       3       ***             26%                     16      6       ******
10      6       ******          30%                     24      6       ******
12      9       *********       38%                     30      6       ******
15      6       ******          42%                     40      6       ******
16      6       ******          47%                     60      6       ******
18      3       ***             50%                     2       3       ***
20      9       *********       57%                     3       3       ***
24      6       ******          62%                     5       3       ***
25      3       ***             64%                     9       3       ***
27      1       *               65%                     18      3       ***
30      6       ******          70%                     25      3       ***
32      3       ***             72%                     32      3       ***
36      3       ***             74%                     36      3       ***
40      6       ******          79%                     45      3       ***
45      3       ***             82%                     48      3       ***
48      3       ***             84%                     50      3       ***
50      3       ***             86%                     75      3       ***
60      6       ******          91%                     80      3       ***
64      1       *               92%                     100     3       ***
75      3       ***             94%                     1       1       *
80      3       ***             97%                     27      1       *
100     3       ***             99%                     64      1       *
125     1       *               100%                    125     1       *
</pre>

The median value of the product is only 18, which may substantially skew the reader's perception of the product rankings. For example, 62 might seem like a "middling" value between 1 and 125, but it is actually in the 91st percentile of possible values.

<h2>Color schemes</h2>

Using the [http://www.personal.psu.edu/cab38/ColorBrewer/ColorBrewer.html|canonical source] for decent color coding schemes, here are two suggested colorings by priority triple product:

<table>
<tr><th>lo</th><th>hi</th><th>stop-n-go</th><th>temperature</th></tr>
<tr><td>1</td><td>6</td><td bgcolor="#fc8d59">#fc8d59 stop</td><td bgcolor="#67a9cf">#67a9cf cold</td></tr>
<tr><td>8</td><td>16</td><td bgcolor="#fee08b">#fee08b careful</td><td bgcolor="#d1e5f0">#d1e5f0 chilly</td></tr>
<tr><td>18</td><td>30</td><td bgcolor="#ffffbf">#ffffbf well</td><td bgcolor="#f7f7f7">#f7f7f7 ok</td></tr>
<tr><td>32</td><td>50</td><td bgcolor="#d9ef8b">#d9ef8b ok</td><td bgcolor="#fddbc7">#fddbc7 warm</td></tr>
<tr><td>60</td><td>125</td><td bgcolor="#91cf60">#91cf60 GO!</td><td bgcolor="#ef8a62">#ef8a62 hot</td></tr>
</table>


The stop-n-go is the center five values of "7-Class Diverging RYG".
The temperature is the center five values of "7-Class Diverging RdBu".

<h2>BIE Interpretation</h2>

<table>
<tr><th>Code</th><th>Breadth</th><th>Impact</th><th>Ease</th></tr>
<tr><td>5</td><td>Everyone</td><td>Critical -- Can't use the product</td><td>Trivial -- Edit and test</td></tr>
<tr><td>4</td><td>Most Users</td><td>Large</td><td>Easy -- Think, edit, and test</td></tr>
<tr><td>3</td><td>Many Users</td><td>Moderate -- Major annoyance</td><td>Moderate -- Substantial new code</td></tr>
<tr><td>2</td><td>Few Users</td><td>Minor -- Easy workaround</td><td>Hard -- Research and/or experiments</td></tr>
<tr><td>1</td><td>Only me</td><td>Hardly -- Barely notice</td><td>Impossible -- No idea how to do</td></tr>
</table>

Z 47f98764b9a442a08547631e97212240