CLRG Scoring Analysis pre-draft
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---
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date: "2021-12-23T00:00:00Z"
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tags:
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- drwho
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title: 'Doctor Who S01E27-30: Doctor Who goes to Mexico'
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url: blog/2021-12-23-drwho-S01E27-mexico/
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title: "Doctor Who S01E27-30: Doctor Who goes to Mexico"
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date: 2021-12-23
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---
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A bunch of white people pretend to be Aztecs, and explore their moral
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@ -42,7 +39,7 @@ Barbara abusing her god status to outlaw human sacrifice. The Doctor gets
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married or engaged or something. Susan finally expresses an emotion other
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than terror:
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{{< video "susan-well-hello-there.mp4" "Well, hello there." >}}
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{{< video src="susan-well-hello-there.mp4" text="Well, hello there." >}}
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I'm back to being uncomfortable with the cultural framing here. I mean,
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maybe this is useful for viewing 1960s British culture, but that's still
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@ -1,7 +1,6 @@
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---
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date: "2022-09-06T12:11:00-0600"
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title: Truck bling
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url: blog/2022-09-06-truck-bling/
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date: "2022-09-06T12:11:00-0600"
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---
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Yesterday,
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@ -18,7 +17,7 @@ the friend soldered a bunch of stuff together,
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and we plugged it in.
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It friggin' worked!
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{{< video "truck-bling.m4v" "Pickup truck with color-changing ground effects">}}
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{{< video src="truck-bling.m4v" text="Pickup truck with color-changing ground effects">}}
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The really cool part, at least for me,
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is that now she can hang out with her laptop in the cabin,
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let awardPoints = [
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100, // 1
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75, // 2
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65, // 3
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60, // 4
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56, // 5
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53, // 6
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50, // 7
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47, // 8
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45, // 9
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43, // 10
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41, // 11
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39, // 12
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38, // 13
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37, // 14
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36, // 15
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35, // 16
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34, // 17
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33, // 18
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32, // 19
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31, // 20
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30, // 21
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29, // 22
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28, // 23
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27, // 24
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26, // 25
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25, // 26
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24, // 27
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23, // 28
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22, // 29
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21, // 30
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20, // 31
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19, // 32
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18, // 33
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17, // 34
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16, // 35
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15, // 36
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14, // 37
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13, // 38
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12, // 39
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11, // 40
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10, // 41
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9, // 42
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8, // 43
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7, // 44
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6, // 45
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5, // 46
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4, // 47
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3, // 48
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2, // 49
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1, // 50
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0.75, // 51
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0.65, // 52
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0.60, // 53
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0.56, // 54
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0.53, // 55
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0.50, // 56
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0.47, // 57
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0.45, // 58
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0.43, // 59
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0.41, // 60
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0.39, // 61
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0.38, // 62
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0.37, // 63
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0.36, // 64
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0.35, // 65
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0.34, // 66
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0.33, // 67
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0.32, // 68
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0.31, // 69
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0.30, // 70
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0.29, // 71
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0.28, // 72
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0.27, // 73
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0.26, // 74
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0.25, // 75
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0.24, // 76
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0.23, // 77
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0.22, // 78
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0.21, // 79
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0.20, // 80
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0.19, // 81
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0.18, // 82
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0.17, // 83
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0.16, // 84
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0.15, // 85
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0.14, // 86
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0.13, // 87
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0.12, // 88
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0.11, // 89
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0.10, // 90
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0.09, // 91
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0.08, // 92
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0.07, // 93
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0.06, // 94
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0.05, // 95
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0.04, // 96
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0.03, // 97
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0.02, // 98
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0.01, // 99
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0.00, // 100
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]
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function init() {
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for (let tbody of document.querySelectorAll(".awardPoints tbody")) {
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for (let i = 0; i < awardPoints.length; i++) {
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let tr = tbody.appendChild(document.createElement("tr"))
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tr.appendChild(document.createElement("td")).textContent = i + 1
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tr.appendChild(document.createElement("td")).textContent = awardPoints[i].toFixed(2)
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}
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}
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}
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if (document.readyState === "loading") {
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document.addEventListener("DOMContentLoaded", init)
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} else {
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init()
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}
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export {
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awardPoints,
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}
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Binary file not shown.
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After Width: | Height: | Size: 13 KiB |
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---
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title: CLRG Scoring Analyzed
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date: 2022-10-09
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stylesheets:
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- toys.css
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scripts:
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- speculator.mjs
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- scorecard.mjs
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---
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Let's take a look how how CLRG does its scoring!
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*With math!*
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I'm going to only view this mathematically.
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I know there's a lot of other stuff that goes on, like line-ups.
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I'm only going to look at this with numbers.
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## How CLRG Scoring Works
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As I am given to understand, the scoring works like so:
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1. Adjudicators give you a "raw score": a real number between 0 and 100
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2. The scoring system ranks each dancer per adjudicator, based on raw scores
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3. These rankings are mapped into "award points"
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4. All of a dancer's award points are summed
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5. Final ranking is determined by comparing total award points
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## Raw Scoring
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The way raw scores translate into rankings and award points is a little
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confusing, so I've made a little tool you can play with to get a feel for how it
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works. Essentially, it's a way of normalizing places to an adjudicator: score
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weights are only relative to the judge that assigns them.
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Adjudicator A can assign scores between 80 and 100;
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adjudicator B can assign scores between 1 and 40;
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and they'll both have a first, second, third, fourth place, etc.
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These places then get translated into award points.
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## Award Points
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Award points are handed out based on ranking against other dancers for that
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adjudicator. I obtained these values from a FeisWorx results page for my kid:
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<div class="awardPoints">
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<table>
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<thead>
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<tr>
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<th>Ranking</th><th>Award Points</th>
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</tr>
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</thead>
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<tbody></tbody>
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</table>
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</div>
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If there's a 2-way, 3-way, or n-way tie,
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all tied dancers get the average of the next 2, 3, or n award points,
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and the next 2, 3, or n rankings are skipped.
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### Award Points artifacts
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One quirk of awards points is that for any given overall
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score, there are only a handful of possible judge rankings that could have led
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to it. That means you can make some guesses about how each judge ranked an
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individual dancer, based on only their total award points.
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Here's a handy calculator!
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It (currently) doesn't consider the possibility of a tie.
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<div class="scrolly">
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<fieldset class="speculator">
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<legend>CLRG Award Points Speculator</legend>
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<div>
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Points: <input name="points" type="number" min=41 max=10000 value=188>
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<input name="adjudicators" type="hidden">
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</div>
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<table class="results">
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<caption>Possible Rankings</caption>
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<thead>
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<tr class="warning"><th>Computing: this could take a while!</th></tr>
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</thead>
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<tbody></tbody>
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</table>
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</fieldset>
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</div>
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## What's with these values?
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At first glance, the award points look like the output of an exponential function.
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{{<figure src="chart.png" alt="Chart of scores vs. award points">}}
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In an effort to figure out where these numbers came from,
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I ran some curve fitting against the data.
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Here's the best I could come up with:
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| Ranking range | Award Points Function | Type of function |
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| --: | --: | --- |
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| 1 - 11 | 100 * x^-0.358 | Exponential |
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| 12 - 50 | 51 - x | Linear |
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| 51 - 60 | 14.2 - 0.46x + 0.00385x | Polynomial |
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| 61 - 100 | 1 - x/100 | Linear |
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If you, dear reader, are a mathematician,
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I would love to hear your thoughts on why they went with this algorithm.
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There are a few points to note here:
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* 1st place is a *huge deal*. Disproportionately huge.
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* Places 2-10 are similarly big deals compared to places 3-11.
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* Places 12-50 operate the way most people probably assume ranking works: linearly.
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* Places 51-60 are a second degree polynomial, but it doesn't matter much for so few points.
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* Places 61-100 are all less than 1 point. If you're a judge trying to tank a top dancer, anywhere in this range is equivalent to anywhere else.
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## Consequences of Exponential Award Points
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Playing around with this,
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I've found a few interesting consequences
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of the exponential growth in the top 11 places.
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### 1st place is super important
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1st place is weighted so heavily that it's almost impossible to overcome without
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your own 1st.
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Take for example this scenario,
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in which Adjudicator 1 has promised to give 1st place to Alice:
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<table class="scorecard">
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<thead>
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<tr>
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<td></td>
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<th>Alice</th>
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<th>Bob</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<th class="justify-left">Adj. 1</th>
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<td><input type="number" min=1 max=11 value=1 readonly></td>
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<td><input type="number" min=1 max=11 value=3></td>
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</tr>
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<tr>
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<th class="justify-left">Adj. 2</th>
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<td><input type="number" min=1 max=11 value=1></td>
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<td><input type="number" min=1 max=11 value=3></td>
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</tr>
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<tr>
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<th class="justify-left">Adj. 3</th>
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<td><input type="number" min=1 max=11 value=1></td>
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<td><input type="number" min=1 max=11 value=3></td>
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</tr>
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</tbody>
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<tfoot>
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<tr>
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<th class="justify-left">Award Points</th>
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<td class="justify-right"><output name="points"></td>
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<td class="justify-right"><output name="points"></td>
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</tr>
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<tr>
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<th class="justify-left">Ranking</th>
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<td class="justify-right"><output name="ranking"></td>
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<td class="justify-right"><output name="ranking"></td>
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</tr>
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</tfoot>
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</table>
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import {awardPoints} from "./awardPoints.mjs"
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function scorecardUpdate(scorecard) {
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let scores = []
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let points = []
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let firstRow = scorecard.querySelector("tbody tr")
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for (let input of firstRow.querySelectorAll("input")) {
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scores.push(0)
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points.push(0)
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}
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for (let row of scorecard.querySelectorAll("tbody tr")) {
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let i = 0
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for (let input of row.querySelectorAll("input")) {
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let ranking = Number(input.value)
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scores[i] += ranking
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points[i] += awardPoints[ranking]
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i += 1
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}
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}
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{
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let i = 0
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for (let out of scorecard.querySelectorAll("tfoot output[name='points']")) {
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out.value = points[i]
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i += 1
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}
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}
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{
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let i = 0
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for (let out of scorecard.querySelectorAll("tfoot output[name='ranking']")) {
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out.value = scores[i]
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i += 1
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}
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}
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}
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function init() {
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for (let scorecard of document.querySelectorAll(".scorecard")) {
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for (let input of scorecard.querySelectorAll("input")) {
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input.addEventListener("input", () => scorecardUpdate(scorecard))
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}
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scorecardUpdate(scorecard)
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}
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}
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if (document.readyState === "loading") {
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document.addEventListener("DOMContentLoaded", init)
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} else {
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init()
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}
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import { awardPoints } from "./awardPoints.mjs"
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function arraysEqual(a, b) {
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if (a === b) return true;
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if (a == null || b == null) return false;
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if (a.length != b.length) return false;
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for (let i = 0; i < a.length; ++i) {
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if (a[i] !== b[i]) return false;
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}
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return true;
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}
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function awardPossibilities(total=0, depth=1) {
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if (depth == 1) {
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if (awardPoints.includes(total)) {
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return [[total]]
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} else {
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return []
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}
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}
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let possibilities = []
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for (let p of awardPoints) {
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if (p <= total) {
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for (let subPossibility of awardPossibilities(total - p, depth - 1)) {
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let v = [p].concat(subPossibility)
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v.sort((a,b) => b-a)
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possibilities.push(v)
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}
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}
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}
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possibilities.sort((a,b) => b.reduce((a,b) => a*100+b) - a.reduce((a,b) => a*100+b))
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let uniquePossibilities = []
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for (let p of possibilities) {
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if (uniquePossibilities.length == 0 || !arraysEqual(p, uniquePossibilities[uniquePossibilities.length - 1])) {
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uniquePossibilities.push(p)
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}
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}
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return uniquePossibilities
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}
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function speculate(calc) {
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let points = calc.querySelector("[name=points]").value || 0
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let adjudicators = calc.querySelector("[name=adjudicators]").value || 3
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let results = calc.querySelector(".results tbody")
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while (results.firstChild) {
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results.removeChild(results.firstChild)
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}
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for (let warning of calc.querySelectorAll(".warning")) {
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if (adjudicators >3) {
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warning.classList.add("visible")
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setTimeout(() => asyncSpeculate(calc, points, adjudicators), 0)
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} else {
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warning.classList.remove("visible")
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asyncSpeculate(calc, points, adjudicators)
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}
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}
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}
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async function asyncSpeculate(calc, points, adjudicators) {
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let results = calc.querySelector(".results tbody")
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let possibilites = awardPossibilities(points, adjudicators)
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if (possibilites.length == 0) {
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let row = results.appendChild(document.createElement("tr"))
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let cell = row.appendChild(document.createElement("th"))
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cell.textContent = "No possible combinations"
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} else {
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let row = results.appendChild(document.createElement("tr"))
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for (let i = 1; i <= adjudicators; ++i) {
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let cell = row.appendChild(document.createElement("th"))
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cell.textContent = "Adj. " + i
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}
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for (let possibility of possibilites) {
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let row = results.appendChild(document.createElement("tr"))
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for (let p of possibility) {
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let cell = row.appendChild(document.createElement("td"))
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cell.textContent = p
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}
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}
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}
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for (let warning of calc.querySelectorAll(".warning")) {
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warning.classList.remove("visible")
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}
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}
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function init() {
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for (let calc of document.querySelectorAll(".speculator")) {
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for (let input of calc.querySelectorAll("input")) {
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input.addEventListener("input", () => speculate(calc))
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}
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speculate(calc)
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}
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}
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if (document.readyState === "loading") {
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document.addEventListener("DOMContentLoaded", init)
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} else {
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init()
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}
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|
|
@ -0,0 +1,36 @@
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.winner {
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color:cornsilk;
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}
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figure img {
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max-width: 100%;
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}
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.warning {
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color: #e64;
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display: none;
|
||||
}
|
||||
.warning.visible {
|
||||
display: initial;
|
||||
}
|
||||
|
||||
.awardPoints {
|
||||
display: inline-block;
|
||||
max-height: 60vh;
|
||||
overflow-y: auto;
|
||||
margin: 1em;
|
||||
}
|
||||
.awardPoints table {
|
||||
margin: initial;
|
||||
}
|
||||
.awardPoints thead {
|
||||
position: sticky;
|
||||
top: 0;
|
||||
}
|
||||
.awardPoints tbody {
|
||||
max-height: 60vh;
|
||||
overflow-y: auto;
|
||||
}
|
||||
.awardPoints td {
|
||||
text-align: right;
|
||||
}
|
||||
|
|
@ -5,13 +5,20 @@
|
|||
<meta name="viewport" content="width=device-width">
|
||||
<link rel="stylesheet" href="https://fonts.googleapis.com/css?family=Roboto:regular,bold,italic">
|
||||
<!-- My stuff -->
|
||||
<link rel="stylesheet" media="screen" href="{{"/assets/css/default.css" | relURL}}">
|
||||
<link rel="icon" type="image/png" href="{{"/assets/images/face.png" | relURL}}">
|
||||
<link rel="stylesheet" media="screen" href="{{"/assets/css/default.css" | relURL}}">
|
||||
{{range .AlternativeOutputFormats}}
|
||||
<link rel="{{.Rel}}" type="{{.MediaType.Type}}" title="{{$.Site.Title}}" href="{{.Permalink}}">
|
||||
{{end}}
|
||||
{{range .Params.stylesheets}}
|
||||
<link rel="stylesheet" media="screen" href="{{($.Page.Resources.GetMatch .).RelPermalink}}">
|
||||
{{end}}
|
||||
{{range .Params.scripts}}
|
||||
<script src="{{.}}"></script>
|
||||
{{end}}
|
||||
{{range .Params.scripts}}
|
||||
<script src="{{($.Page.Resources.GetMatch .).RelPermalink}}"
|
||||
{{- if strings.HasSuffix . ".mjs"}}type="module"{{end -}}
|
||||
></script>
|
||||
{{end}}
|
||||
{{range .Params.headers}}
|
||||
{{. | safeHTML}}
|
||||
|
|
|
|||
|
|
@ -0,0 +1,4 @@
|
|||
<figure>
|
||||
{{- $img := $.Page.Resources.GetMatch (.Get "src")}}
|
||||
<img src="{{$img.RelPermalink}}" alt="{{.Get "alt"}}">
|
||||
</figure>
|
||||
|
|
@ -1,4 +1,4 @@
|
|||
<video autoplay muted loop>
|
||||
<source src="{{.Get 0}}">
|
||||
{{.Get 1}}
|
||||
<source src="{{($.Page.Resources.GetMatch (.Get "src")).RelPermalink}}">
|
||||
{{.Get "text"}}
|
||||
</video>
|
||||
|
|
|
|||
3
run.sh
3
run.sh
|
|
@ -4,6 +4,9 @@ case "$(hostname)" in
|
|||
sweetums)
|
||||
baseURL=http://sweetums.lan:1313/
|
||||
;;
|
||||
penguin)
|
||||
baseURL=http://penguin.linux.test:1313/
|
||||
;;
|
||||
*)
|
||||
baseURL=http://$(hostname --fqdn):1313/
|
||||
;;
|
||||
|
|
|
|||
|
|
@ -19,12 +19,12 @@ body {
|
|||
}
|
||||
|
||||
input {
|
||||
font-family: "Lato", "Roboto", sans-serif;
|
||||
font-size: 13pt;
|
||||
border: 0;
|
||||
outline: 0;
|
||||
background: transparent;
|
||||
border-bottom: 1px solid black;
|
||||
font-family: inherit;
|
||||
font-size: inherit;
|
||||
border: thin solid #ccc;
|
||||
}
|
||||
input:read-only {
|
||||
background-color: #eee;
|
||||
}
|
||||
|
||||
.title, td.main {
|
||||
|
|
@ -146,6 +146,36 @@ button.big {
|
|||
background: inherit;
|
||||
}
|
||||
|
||||
legend {
|
||||
background-color: #e0e4cc;
|
||||
}
|
||||
|
||||
table {
|
||||
margin: 1em;
|
||||
border-collapse: collapse;
|
||||
}
|
||||
thead, tfoot {
|
||||
color: #e64;
|
||||
background-color: rgba(224, 228, 204, 0.8);
|
||||
}
|
||||
tbody tr:nth-of-type(even) {
|
||||
background-color: rgba(238, 102, 68, 0.05);
|
||||
}
|
||||
|
||||
td, th {
|
||||
padding: 0.2em 0.5em;
|
||||
}
|
||||
caption {
|
||||
caption-side: bottom;
|
||||
font-size: small;
|
||||
}
|
||||
.justify-right, input[type="number"] {
|
||||
text-align: right;
|
||||
}
|
||||
.justify-left {
|
||||
text-align: left;
|
||||
}
|
||||
|
||||
.tags {
|
||||
font-size: small;
|
||||
}
|
||||
|
|
|
|||
Loading…
Reference in New Issue