macman76
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Last Active 09-25-20 9:08 pm
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Resorting the Top 200 2: User Usage Weighted Mean

What if users who use the site more counted more towards album ratings? I scraped the Top 200 from the charts tab of the site, and scraped user data (# of comments, lists, ratings, reviews) from each user who rated the particular albums. Then I calculated 4 weighted means of the rating for each album by the number of ratings, comments, reviews, and lists; weights determined by the square root of each user usage value (if a user had 1000 comments, their weight was 10). A weighted average of these means was then calculated. I, subjectively, Rachel Ray’d it and gave a weight of 3 for the number of reviews, 2 for the number of lists, 1 for comments, and 1 for number of ratings (essentially, I valued how many reviews a user had as more relevant to user usage, than comments, lists, or ratings). From there, I calculated the lower bound of the 95% credible interval (as described in my previous lists) as the metric for sorting. The lower bound of the 95% credible interval takes into account ratings as well as how many ratings a particular album had. Limitations: (1) some albums had duplicate ratings so I removed them, (2) I had to throw out any ratins that didn’t have a date because I couldn’t trust that I scraped their user data properly (this is because they randomly shuffle sometimes when you refresh a soundoff page… because I couldn’t figure out a way to get external links and scrape the table in parallel, sometimes those ratings and their user pages get out of synch). This means I am missing some ratings. Displayed is the number of ratings that I counted, mean rating of those ratings, the user adjusted weighted mean I came up with, the 95% credible interval, the old rank as the sputnik would have calculated it, and the new rank. Because of list limitations, I present top 1 to 50 and 101. Rec albums that are not in the top 200 and I'll see if they can make it into the top 101.
1Pink Floyd
Wish You Were Here


Number of Ratings: 4837
Mean Rating: 4.646
User Usage Weighted Mean: 4.597
95% Credible Interval: 4.564 - 4.629
New Rank: 1
Original Rank: 2
2Ludwig van Beethoven
Symphony No. 9 in D minor, Op. 125


Number of Ratings: 368
Mean Rating: 4.662
User Usage Weighted Mean: 4.641
95% Credible Interval: 4.517 - 4.742
New Rank: 2
Original Rank: 1
3Pink Floyd
Animals


Number of Ratings: 3750
Mean Rating: 4.523
User Usage Weighted Mean: 4.533
95% Credible Interval: 4.493 - 4.571
New Rank: 3
Original Rank: 23
4Wu-Tang Clan
Enter the Wu-Tang (36 Chambers)


Number of Ratings: 2538
Mean Rating: 4.613
User Usage Weighted Mean: 4.542
95% Credible Interval: 4.493 - 4.587
New Rank: 4
Original Rank: 4
5John Coltrane
A Love Supreme


Number of Ratings: 1065
Mean Rating: 4.607
User Usage Weighted Mean: 4.542
95% Credible Interval: 4.466 - 4.612
New Rank: 5
Original Rank: 6
6Nas
Illmatic


Number of Ratings: 2616
Mean Rating: 4.611
User Usage Weighted Mean: 4.507
95% Credible Interval: 4.458 - 4.554
New Rank: 6
Original Rank: 5
7Pink Floyd
The Dark Side of the Moon


Number of Ratings: 5601
Mean Rating: 4.579
User Usage Weighted Mean: 4.491
95% Credible Interval: 4.457 - 4.524
New Rank: 7
Original Rank: 11
8GZA
Liquid Swords


Number of Ratings: 1540
Mean Rating: 4.575
User Usage Weighted Mean: 4.52
95% Credible Interval: 4.456 - 4.58
New Rank: 8
Original Rank: 12
9Miles Davis
Kind of Blue


Number of Ratings: 1754
Mean Rating: 4.618
User Usage Weighted Mean: 4.508
95% Credible Interval: 4.447 - 4.564
New Rank: 9
Original Rank: 3
10Charles Mingus
The Black Saint and the Sinner Lady


Number of Ratings: 730
Mean Rating: 4.6
User Usage Weighted Mean: 4.535
95% Credible Interval: 4.44 - 4.618
New Rank: 10
Original Rank: 7
11King Crimson
In the Court of the Crimson King


Number of Ratings: 2964
Mean Rating: 4.575
User Usage Weighted Mean: 4.486
95% Credible Interval: 4.439 - 4.531
New Rank: 11
Original Rank: 13
12Black Sabbath
Paranoid


Number of Ratings: 3403
Mean Rating: 4.538
User Usage Weighted Mean: 4.482
95% Credible Interval: 4.437 - 4.524
New Rank: 12
Original Rank: 19
13Megadeth
Rust in Peace


Number of Ratings: 4064
Mean Rating: 4.581
User Usage Weighted Mean: 4.476
95% Credible Interval: 4.435 - 4.515
New Rank: 13
Original Rank: 10
14David Bowie
The Rise and Fall of Ziggy Stardust...


Number of Ratings: 1768
Mean Rating: 4.563
User Usage Weighted Mean: 4.494
95% Credible Interval: 4.432 - 4.551
New Rank: 14
Original Rank: 16
15The Beatles
Abbey Road


Number of Ratings: 3452
Mean Rating: 4.585
User Usage Weighted Mean: 4.472
95% Credible Interval: 4.428 - 4.514
New Rank: 15
Original Rank: 9
16Sergei Rachmaninoff
Piano Concerto No. 2 in C minor, Op. 18


Number of Ratings: 96
Mean Rating: 4.505
User Usage Weighted Mean: 4.685
95% Credible Interval: 4.426 - 4.855
New Rank: 16
Original Rank: 35
17Death
Symbolic


Number of Ratings: 2833
Mean Rating: 4.536
User Usage Weighted Mean: 4.471
95% Credible Interval: 4.422 - 4.518
New Rank: 17
Original Rank: 20
18Yes
Close to the Edge


Number of Ratings: 1701
Mean Rating: 4.566
User Usage Weighted Mean: 4.484
95% Credible Interval: 4.421 - 4.543
New Rank: 18
Original Rank: 15
19Godspeed You! Black Emperor
F#A# (Infinity)


Number of Ratings: 2901
Mean Rating: 4.512
User Usage Weighted Mean: 4.46
95% Credible Interval: 4.412 - 4.507
New Rank: 19
Original Rank: 27
20The Jimi Hendrix Experience
Are You Experienced


Number of Ratings: 817
Mean Rating: 4.589
User Usage Weighted Mean: 4.502
95% Credible Interval: 4.411 - 4.584
New Rank: 20
Original Rank: 8
21Godspeed You! Black Emperor
Slow Riot For New Zero Kanada


Number of Ratings: 1805
Mean Rating: 4.489
User Usage Weighted Mean: 4.465
95% Credible Interval: 4.403 - 4.523
New Rank: 21
Original Rank: 44
22DJ Shadow
Endtroducing...


Number of Ratings: 1837
Mean Rating: 4.519
User Usage Weighted Mean: 4.462
95% Credible Interval: 4.4 - 4.52
New Rank: 22
Original Rank: 25
23Elliott Smith
Either/Or


Number of Ratings: 1649
Mean Rating: 4.505
User Usage Weighted Mean: 4.462
95% Credible Interval: 4.396 - 4.523
New Rank: 23
Original Rank: 34
24Radiohead
OK Computer


Number of Ratings: 6594
Mean Rating: 4.571
User Usage Weighted Mean: 4.428
95% Credible Interval: 4.395 - 4.46
New Rank: 24
Original Rank: 14
25Godspeed You! Black Emperor
Lift Your Skinny Fists Like Antennas to Heaven


Number of Ratings: 2986
Mean Rating: 4.509
User Usage Weighted Mean: 4.436
95% Credible Interval: 4.387 - 4.483
New Rank: 25
Original Rank: 31
26Led Zeppelin
Led Zeppelin IV


Number of Ratings: 3579
Mean Rating: 4.544
User Usage Weighted Mean: 4.431
95% Credible Interval: 4.386 - 4.474
New Rank: 26
Original Rank: 17
27Black Sabbath
Master of Reality


Number of Ratings: 2452
Mean Rating: 4.471
User Usage Weighted Mean: 4.435
95% Credible Interval: 4.381 - 4.487
New Rank: 27
Original Rank: 59
28Camel
Mirage


Number of Ratings: 904
Mean Rating: 4.511
User Usage Weighted Mean: 4.467
95% Credible Interval: 4.378 - 4.547
New Rank: 28
Original Rank: 30
29Kate Bush
Hounds of Love


Number of Ratings: 687
Mean Rating: 4.464
User Usage Weighted Mean: 4.479
95% Credible Interval: 4.377 - 4.57
New Rank: 29
Original Rank: 68
30The Cure
Disintegration


Number of Ratings: 1829
Mean Rating: 4.502
User Usage Weighted Mean: 4.44
95% Credible Interval: 4.377 - 4.499
New Rank: 30
Original Rank: 36
31Ludwig van Beethoven
"Moonlight" Piano Sonata No. 14 in C♯ minor, Op. 27, No. 2


Number of Ratings: 178
Mean Rating: 4.542
User Usage Weighted Mean: 4.573
95% Credible Interval: 4.375 - 4.726
New Rank: 31
Original Rank: 18
32King Crimson
Red


Number of Ratings: 1522
Mean Rating: 4.493
User Usage Weighted Mean: 4.441
95% Credible Interval: 4.372 - 4.505
New Rank: 32
Original Rank: 40
33Iron Maiden
Powerslave


Number of Ratings: 2921
Mean Rating: 4.491
User Usage Weighted Mean: 4.419
95% Credible Interval: 4.368 - 4.466
New Rank: 33
Original Rank: 43
34Rush
Hemispheres


Number of Ratings: 1570
Mean Rating: 4.429
User Usage Weighted Mean: 4.433
95% Credible Interval: 4.364 - 4.496
New Rank: 34
Original Rank: 130
35The Notorious B.I.G.
Ready to Die


Number of Ratings: 1419
Mean Rating: 4.511
User Usage Weighted Mean: 4.434
95% Credible Interval: 4.361 - 4.5
New Rank: 35
Original Rank: 29
36The Beach Boys
Pet Sounds


Number of Ratings: 1380
Mean Rating: 4.508
User Usage Weighted Mean: 4.428
95% Credible Interval: 4.354 - 4.496
New Rank: 36
Original Rank: 33
37The Beatles
Revolver


Number of Ratings: 2906
Mean Rating: 4.533
User Usage Weighted Mean: 4.4
95% Credible Interval: 4.349 - 4.449
New Rank: 37
Original Rank: 21
38Stevie Wonder
Songs in the Key of Life


Number of Ratings: 425
Mean Rating: 4.519
User Usage Weighted Mean: 4.48
95% Credible Interval: 4.348 - 4.593
New Rank: 38
Original Rank: 24
39Judas Priest
Painkiller


Number of Ratings: 1655
Mean Rating: 4.517
User Usage Weighted Mean: 4.411
95% Credible Interval: 4.343 - 4.474
New Rank: 39
Original Rank: 26
40Nick Drake
Pink Moon


Number of Ratings: 1431
Mean Rating: 4.476
User Usage Weighted Mean: 4.411
95% Credible Interval: 4.338 - 4.479
New Rank: 40
Original Rank: 52
41Death
Human


Number of Ratings: 2349
Mean Rating: 4.447
User Usage Weighted Mean: 4.394
95% Credible Interval: 4.337 - 4.448
New Rank: 41
Original Rank: 85
42Talking Heads
Remain in Light


Number of Ratings: 1215
Mean Rating: 4.493
User Usage Weighted Mean: 4.416
95% Credible Interval: 4.337 - 4.489
New Rank: 42
Original Rank: 39
43Koji Kondo
The Legend of Zelda: Ocarina of Time OST


Number of Ratings: 256
Mean Rating: 4.473
User Usage Weighted Mean: 4.507
95% Credible Interval: 4.336 - 4.646
New Rank: 43
Original Rank: 58
44The Smiths
The Queen Is Dead


Number of Ratings: 1892
Mean Rating: 4.45
User Usage Weighted Mean: 4.397
95% Credible Interval: 4.333 - 4.456
New Rank: 44
Original Rank: 81
45Bob Dylan
Blood on the Tracks


Number of Ratings: 1044
Mean Rating: 4.473
User Usage Weighted Mean: 4.418
95% Credible Interval: 4.332 - 4.496
New Rank: 45
Original Rank: 57
46Immolation
Close to a World Below


Number of Ratings: 901
Mean Rating: 4.434
User Usage Weighted Mean: 4.423
95% Credible Interval: 4.331 - 4.506
New Rank: 46
Original Rank: 115
47David Bowie
Low


Number of Ratings: 1154
Mean Rating: 4.455
User Usage Weighted Mean: 4.411
95% Credible Interval: 4.329 - 4.486
New Rank: 47
Original Rank: 75
48Miles Davis
Bitches Brew


Number of Ratings: 1073
Mean Rating: 4.477
User Usage Weighted Mean: 4.411
95% Credible Interval: 4.327 - 4.489
New Rank: 48
Original Rank: 51
49The Stooges
Fun House


Number of Ratings: 823
Mean Rating: 4.475
User Usage Weighted Mean: 4.421
95% Credible Interval: 4.324 - 4.508
New Rank: 49
Original Rank: 55
50Smashing Pumpkins
Siamese Dream


Number of Ratings: 2611
Mean Rating: 4.434
User Usage Weighted Mean: 4.377
95% Credible Interval: 4.322 - 4.429
New Rank: 50
Original Rank: 114
51Gospel
The Moon Is a Dead World


Number of Ratings: 1056
Mean Rating: 4.412
User Usage Weighted Mean: 4.348
95% Credible Interval: 4.259 - 4.43
New Rank: 101
Original Rank: 150
52Aspid
Extravasation


Extras:
Number of Ratings: 269
Mean Rating: 4.327
User Usage Weighted Mean: 4.38
95% Credible Interval: 4.2 - 4.533
Would be in Top 101?: FALSE
53Grotesque
Incantation


Number of Ratings: 52
Mean Rating: 3.942
User Usage Weighted Mean: 3.966
95% Credible Interval: 3.453 - 4.371
Would be in Top 101?: FALSE
54Frank Zappa
Hot Rats


Number of Ratings: 791
Mean Rating: 4.439
User Usage Weighted Mean: 4.368
95% Credible Interval: 4.266 - 4.461
New Rank: 95
Original Rank: 104
55The Ocean
Precambrian


Number of Ratings: 968
Mean Rating: 4.282
User Usage Weighted Mean: 4.181
95% Credible Interval: 4.079 - 4.275
Would be in Top 101?: FALSE
56Bathory
Blood Fire Death


Number of Ratings: 868
Mean Rating: 4.373
User Usage Weighted Mean: 4.32
95% Credible Interval: 4.219 - 4.412
Would be in Top 101?: FALSE
57The Hotelier
Goodness


Number of Ratings: 152
Mean Rating: 4.283
User Usage Weighted Mean: 4.253
95% Credible Interval: 3.991 - 4.469
Would be in Top 101?: FALSE
58Ichiko Aoba
0%


Number of Ratings: 47
Mean Rating: 4.383
User Usage Weighted Mean: 4.288
95% Credible Interval: 3.79 - 4.639
Would be in Top 101?: FALSE
59Mr. Bungle
California


Number of Ratings: 1244
Mean Rating: 4.374
User Usage Weighted Mean: 4.319
95% Credible Interval: 4.236 - 4.396
Would be in Top 101?: FALSE
60The Cure
Pornography


Number of Ratings: 1061
Mean Rating: 4.241
User Usage Weighted Mean: 4.145
95% Credible Interval: 4.047 - 4.237
Would be in Top 101?: FALSE
61Joy Division
Closer


Number of Ratings: 1593
Mean Rating: 4.371
User Usage Weighted Mean: 4.262
95% Credible Interval: 4.187 - 4.333
Would be in Top 101?: FALSE
62Demilich
Nespithe


Number of Ratings: 541
Mean Rating: 4.267
User Usage Weighted Mean: 4.249
95% Credible Interval: 4.116 - 4.369
Would be in Top 101?: FALSE
63The Stooges
Raw Power


Number of Ratings: 806
Mean Rating: 4.389
User Usage Weighted Mean: 4.311
95% Credible Interval: 4.206 - 4.407
New Rank: 143
Original Rank: 186
64Vektor
Terminal Redux


Number of Ratings: 442
Mean Rating: 4.492
User Usage Weighted Mean: 4.312
95% Credible Interval: 4.169 - 4.439
New Rank: 163
Original Rank: 42
65Dismember
Like an Ever Flowing Stream


Number of Ratings: 628
Mean Rating: 4.381
User Usage Weighted Mean: 4.331
95% Credible Interval: 4.213 - 4.437
Would be in Top 101?: FALSE
66Peste Noire
La Sanie des siecles - Panegyrique de la


Number of Ratings: 199
Mean Rating: 4.176
User Usage Weighted Mean: 4.166
95% Credible Interval: 3.931 - 4.367
Would be in Top 101?: FALSE
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