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[BIE Value Histogram] by
Ross
2012-12-14 00:05:53.
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