From 362a324b3329bdcc8f20f1d0865fce52ec9e8898 Mon Sep 17 00:00:00 2001
From: schneefux <schneefux+commit@schneefux.xyz>
Date: Sat, 23 Jun 2018 14:08:12 +0200
Subject: Calculate r^2 and show 'uncertain' labels for max level stats

---
 src/HeroTalentTable.vue |  8 ++++----
 src/ReportService.js    | 14 ++++++++++++--
 src/ReportTable.vue     | 13 +++++++++----
 3 files changed, 25 insertions(+), 10 deletions(-)

(limited to 'src')

diff --git a/src/HeroTalentTable.vue b/src/HeroTalentTable.vue
index 6bd228a..dc2098c 100644
--- a/src/HeroTalentTable.vue
+++ b/src/HeroTalentTable.vue
@@ -22,15 +22,15 @@
             {{ (100 * props.row.Winner).toFixed(2) }}% <!-- No Talent -->
           </template>
           <template v-else>
-            {{ (100 * props.row.TalentWinrateBase).toFixed(2) }}%
+            {{ (100 * props.row.TalentWinrateBase).toFixed(0) }}%
           </template>
-          <small v-if="props.row.SampleTooSmall">uncertain</small>
+          <small v-if="props.row.SampleTooSmall"><br />uncertain</small>
         </b-table-column>
 
         <b-table-column field="TalentWinrateMax" label="Max Level Win Rate" meta="Estimated." sortable numeric>
           <template v-if="!isNaN(props.row.TalentWinrateMax)">
-            {{ (100 * props.row.TalentWinrateMax).toFixed(2) }}%
-            <small v-if="props.row.SampleTooSmall">uncertain</small>
+            {{ (100 * props.row.TalentWinrateMax).toFixed(0) }}%
+            <small v-if="props.row.SampleTooSmall || props.row.VarianceTooLarge"><br />uncertain</small>
           </template>
         </b-table-column>
       </template>
diff --git a/src/ReportService.js b/src/ReportService.js
index 3a94671..3da118a 100644
--- a/src/ReportService.js
+++ b/src/ReportService.js
@@ -3,6 +3,7 @@ import * as metadata from '../data/2d73896c/metadata.json';
 
 const POPULAR_THRESHOLD = 1.0; // percent
 const PICKS_THRESHOLD = 300; // picks
+const VARIANCE_THRESHOLD = 0.25; // % minimum accuracy
 
 const report = require('../data/2d73896c/report.json')
   .filter((entry) => entry.Actor != undefined); // bad data from API downtime
@@ -63,14 +64,23 @@ for(let mode of modes) {
     const slope = (n * sum_xy - sum_x * sum_y) / (n * sum_xx - sum_x * sum_x);
     const intercept = (sum_y - slope * sum_x) / n;
 
+    // sum (actual - average)^2
+    const sstot = ys.map((y) => Math.pow(y - sum_y / n, 2)).reduce(sum, 0);
+    // sum (actual - estimated)^2
+    const ssres = ys.map((y, index) => Math.pow((intercept + slope * xs[index]) - y, 2)).reduce(sum, 0);
+    // r^2 is also correlation coefficient ^ 2
+    const rsquare = 1 - ssres / sstot;
+
     return Object.assign({}, entry, {
       TalentWinrateBase: intercept,
       TalentWinrateScaling: slope, // to 1 = max level
       TalentWinrateMax: intercept + slope,
       TalentWinrateLevelScaling: slope / maps.getMaxLevel(entry),
+      TalentWinrateVariance: rsquare,
       TotalPicks: sum_weights || entry.Count, // NoTalent has no weights
       TotalWinner: sum_y / sum_weights || entry.Winner,
       SampleTooSmall: sum_weights < PICKS_THRESHOLD,
+      VarianceTooLarge: rsquare < VARIANCE_THRESHOLD,
     });
   });
   reports.set(mode, reportFilterModeRegressed);
@@ -100,10 +110,10 @@ for(let mode of modes) {
     .filter((entry) => maps.getTalentRarity(entry.Talent) == 'Legendary' && 100 * playersPerMatch * entry.TotalPicks / totalPicks.get(mode))
     .sort((entry1, entry2) => entry2.TotalWinner - entry1.TotalWinner)[0]);
   topLowLevel.set(mode, reports.get(mode)
-    .filter((entry) => !entry.SampleTooSmall)
+    .filter((entry) => !entry.SampleTooSmall && !entry.VarianceTooLarge)
     .sort((entry1, entry2) => entry2.TalentWinrateBase - entry1.TalentWinrateBase)[0]);
   topScaling.set(mode, reports.get(mode)
-    .filter((entry) => !entry.SampleTooSmall)
+    .filter((entry) => !entry.SampleTooSmall && !entry.VarianceTooLarge)
     .sort((entry1, entry2) => entry2.TalentWinrateLevelScaling - entry1.TalentWinrateLevelScaling)[0]);
 
   if (actors.length == 0) {
diff --git a/src/ReportTable.vue b/src/ReportTable.vue
index fa457e6..d44bdea 100644
--- a/src/ReportTable.vue
+++ b/src/ReportTable.vue
@@ -16,7 +16,7 @@
 
     <b-field>
       <div class="control">
-        <b-switch v-model="filterLowPickrate">Include entries without enough data</b-switch>
+        <b-switch v-model="filterLowPickrate">Include entries without enough data (statistics will be inaccurate)</b-switch>
       </div>
     </b-field>
 
@@ -70,18 +70,23 @@
             {{ (100 * props.row.Winner).toFixed(2) }}% <!-- No Talent -->
           </template>
           <template v-else>
-            {{ (100 * props.row.TalentWinrateBase).toFixed(2) }}%
+            {{ (100 * props.row.TalentWinrateBase).toFixed(0) }}%
           </template>
         </b-table-column>
 
         <b-table-column field="TalentWinrateMax" label="Max Level Win Rate" meta="Estimated." :visible="hasTalents" sortable numeric>
           <template v-if="!isNaN(props.row.TalentWinrateMax)">
-            {{ (100 * props.row.TalentWinrateMax).toFixed(2) }}%
+            {{ (100 * props.row.TalentWinrateMax).toFixed(0) }}%
+            <small v-if="props.row.VarianceTooLarge"><br />uncertain</small>
           </template>
         </b-table-column>
 
+        <b-table-column field="TalentWinrateVariance" label="Variance" :visible="hasTalents" sortable numeric>
+          {{ props.row.TalentWinrateVariance.toFixed(2) }}
+        </b-table-column>
+
         <b-table-column field="Winner" label="Win Rate" :visible="!hasTalents" sortable numeric>
-          {{ (100 * props.row.Winner).toFixed(2) }}%
+          {{ (100 * props.row.Winner).toFixed(0) }}%
         </b-table-column>
 
         <b-table-column field="TotalPicks" label="Pick Rate" sortable numeric>
-- 
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