Resorting the Top 200
The Charts Tab on this site shows you the top rated album by mean rating and (from what I can tell) has some ratings cutoff in order to be counted for inclusion in the chart. I’ve been reading this awesome and free book, https://github.com/CamDavidsonPilon/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers, and chapter 4 discusses a method for sorting ratings systems based on the statistical uncertainty of the mean rating estimate. This ratings system takes into account how many ratings for an album there have been, which informs the uncertainty or randomness that can happen at the albums particular rating count. Specifically, and this may mean nothing to most you, after applying a uniform prior, a 95% credible interval is calculated, and the lower 95% bound is used as the value for sorting. For a more in depth description, check out that book (it requires you download python, which is free, and ipython, which is also free… better yet download anaconda which has both and more, especially if you want to learn programming). Below is the top 200 reshuffled (into a top 101), I scraped this data 5/21/2016 afternoon. |
| 1 |  | Pink Floyd
Wish You Were Here
Number of Ratings: 5334
Mean Rating: 4.64
95% Credible Interval: 4.61 - 4.669
New Rank: 1
Original Rank: 2 |
| 2 |  | Wu-Tang Clan
Enter the Wu-Tang (36 Chambers)
Number of Ratings: 2625
Mean Rating: 4.611
95% Credible Interval: 4.566 - 4.652
New Rank: 2
Original Rank: 4 |
| 3 |  | Nas
Illmatic
Number of Ratings: 2740
Mean Rating: 4.609
95% Credible Interval: 4.565 - 4.65
New Rank: 3
Original Rank: 5 |
| 4 |  | Miles Davis
Kind of Blue
Number of Ratings: 1884
Mean Rating: 4.614
95% Credible Interval: 4.561 - 4.663
New Rank: 4
Original Rank: 3 |
| 5 |  | The Beatles
Abbey Road
Number of Ratings: 3741
Mean Rating: 4.584
95% Credible Interval: 4.546 - 4.62
New Rank: 5
Original Rank: 9 |
| 6 |  | Radiohead
OK Computer
Number of Ratings: 7155
Mean Rating: 4.572
95% Credible Interval: 4.544 - 4.599
New Rank: 6
Original Rank: 13 |
| 7 |  | Pink Floyd
The Dark Side of the Moon
Number of Ratings: 6276
Mean Rating: 4.574
95% Credible Interval: 4.544 - 4.602
New Rank: 7
Original Rank: 12 |
| 8 |  | Ludwig van Beethoven
Symphony No. 9 in D minor, Op. 125
Number of Ratings: 369
Mean Rating: 4.663
95% Credible Interval: 4.542 - 4.76
New Rank: 8
Original Rank: 1 |
| 9 |  | Megadeth
Rust in Peace
Number of Ratings: 4407
Mean Rating: 4.575
95% Credible Interval: 4.54 - 4.609
New Rank: 9
Original Rank: 10 |
| 10 |  | John Coltrane
A Love Supreme
Number of Ratings: 1124
Mean Rating: 4.602
95% Credible Interval: 4.532 - 4.665
New Rank: 10
Original Rank: 7 |
| 11 |  | King Crimson
In the Court of the Crimson King
Number of Ratings: 3124
Mean Rating: 4.572
95% Credible Interval: 4.529 - 4.612
New Rank: 11
Original Rank: 14 |
| 12 |  | Charles Mingus
The Black Saint and the Sinner Lady
Number of Ratings: 759
Mean Rating: 4.605
95% Credible Interval: 4.518 - 4.68
New Rank: 12
Original Rank: 6 |
| 13 |  | GZA
Liquid Swords
Number of Ratings: 1581
Mean Rating: 4.574
95% Credible Interval: 4.514 - 4.63
New Rank: 13
Original Rank: 11 |
| 14 |  | The Jimi Hendrix Experience
Are You Experienced
Number of Ratings: 816
Mean Rating: 4.592
95% Credible Interval: 4.507 - 4.666
New Rank: 14
Original Rank: 8 |
| 15 |  | David Bowie
The Rise and Fall of Ziggy Stardust...
Number of Ratings: 1859
Mean Rating: 4.562
95% Credible Interval: 4.505 - 4.614
New Rank: 15
Original Rank: 15 |
| 16 |  | Yes
Close to the Edge
Number of Ratings: 1823
Mean Rating: 4.56
95% Credible Interval: 4.503 - 4.612
New Rank: 16
Original Rank: 16 |
| 17 |  | Led Zeppelin
Led Zeppelin IV
Number of Ratings: 4104
Mean Rating: 4.537
95% Credible Interval: 4.499 - 4.574
New Rank: 17
Original Rank: 18 |
| 18 |  | Black Sabbath
Paranoid
Number of Ratings: 3731
Mean Rating: 4.53
95% Credible Interval: 4.489 - 4.568
New Rank: 18
Original Rank: 21 |
| 19 |  | The Beatles
Revolver
Number of Ratings: 3213
Mean Rating: 4.533
95% Credible Interval: 4.489 - 4.574
New Rank: 19
Original Rank: 19 |
| 20 |  | Death
Symbolic
Number of Ratings: 2937
Mean Rating: 4.532
95% Credible Interval: 4.486 - 4.575
New Rank: 20
Original Rank: 20 |
| 21 |  | Pink Floyd
Animals
Number of Ratings: 4095
Mean Rating: 4.518
95% Credible Interval: 4.479 - 4.556
New Rank: 21
Original Rank: 24 |
| 22 |  | Refused
The Shape of Punk to Come
Number of Ratings: 2335
Mean Rating: 4.521
95% Credible Interval: 4.468 - 4.569
New Rank: 22
Original Rank: 22 |
| 23 |  | DJ Shadow
Endtroducing...
Number of Ratings: 1950
Mean Rating: 4.519
95% Credible Interval: 4.461 - 4.572
New Rank: 23
Original Rank: 23 |
| 24 |  | Godspeed You! Black Emperor
F#A# (Infinity)
Number of Ratings: 3015
Mean Rating: 4.505
95% Credible Interval: 4.459 - 4.549
New Rank: 24
Original Rank: 31 |
| 25 |  | Godspeed You! Black Emperor
Lift Your Skinny Fists Like Antennas to Heaven
Number of Ratings: 3109
Mean Rating: 4.504
95% Credible Interval: 4.458 - 4.547
New Rank: 25
Original Rank: 34 |
| 26 |  | Judas Priest
Painkiller
Number of Ratings: 1754
Mean Rating: 4.511
95% Credible Interval: 4.451 - 4.568
New Rank: 26
Original Rank: 28 |
| 27 |  | Opeth
Blackwater Park
Number of Ratings: 5105
Mean Rating: 4.476
95% Credible Interval: 4.44 - 4.511
New Rank: 27
Original Rank: 54 |
| 28 |  | The Notorious B.I.G.
Ready to Die
Number of Ratings: 1454
Mean Rating: 4.506
95% Credible Interval: 4.439 - 4.568
New Rank: 28
Original Rank: 30 |
| 29 |  | Iron Maiden
Powerslave
Number of Ratings: 3209
Mean Rating: 4.484
95% Credible Interval: 4.438 - 4.527
New Rank: 29
Original Rank: 48 |
| 30 |  | Elliott Smith
Either/Or
Number of Ratings: 1743
Mean Rating: 4.499
95% Credible Interval: 4.437 - 4.556
New Rank: 30
Original Rank: 36 |
| 31 |  | Genesis
Selling England by the Pound
Number of Ratings: 1177
Mean Rating: 4.512
95% Credible Interval: 4.437 - 4.58
New Rank: 31
Original Rank: 26 |
| 32 |  | The Cure
Disintegration
Number of Ratings: 1915
Mean Rating: 4.496
95% Credible Interval: 4.437 - 4.551
New Rank: 32
Original Rank: 38 |
| 33 |  | The Doors
The Doors
Number of Ratings: 1780
Mean Rating: 4.497
95% Credible Interval: 4.436 - 4.554
New Rank: 33
Original Rank: 37 |
| 34 |  | The Clash
London Calling
Number of Ratings: 2179
Mean Rating: 4.491
95% Credible Interval: 4.436 - 4.543
New Rank: 34
Original Rank: 41 |
| 35 |  | The Beach Boys
Pet Sounds
Number of Ratings: 1434
Mean Rating: 4.504
95% Credible Interval: 4.436 - 4.566
New Rank: 35
Original Rank: 33 |
| 36 |  | Bob Dylan
Highway 61 Revisited
Number of Ratings: 1401
Mean Rating: 4.503
95% Credible Interval: 4.434 - 4.566
New Rank: 36
Original Rank: 35 |
| 37 |  | Tool
Lateralus
Number of Ratings: 5591
Mean Rating: 4.465
95% Credible Interval: 4.43 - 4.498
New Rank: 37
Original Rank: 64 |
| 38 |  | Opeth
Still Life
Number of Ratings: 3520
Mean Rating: 4.474
95% Credible Interval: 4.43 - 4.515
New Rank: 38
Original Rank: 57 |
| 39 |  | The Beatles
Sgt. Pepper's Lonely Hearts Club Band
Number of Ratings: 3580
Mean Rating: 4.471
95% Credible Interval: 4.428 - 4.512
New Rank: 39
Original Rank: 59 |
| 40 |  | Brand New
The Devil and God Are Raging Inside Me
Number of Ratings: 5107
Mean Rating: 4.463
95% Credible Interval: 4.427 - 4.498
New Rank: 40
Original Rank: 68 |
| 41 |  | Godspeed You! Black Emperor
Slow Riot For New Zero Kanada
Number of Ratings: 1857
Mean Rating: 4.486
95% Credible Interval: 4.426 - 4.542
New Rank: 41
Original Rank: 45 |
| 42 |  | Camel
Mirage
Number of Ratings: 916
Mean Rating: 4.51
95% Credible Interval: 4.424 - 4.587
New Rank: 42
Original Rank: 29 |
| 43 |  | Radiohead
Kid A
Number of Ratings: 5911
Mean Rating: 4.454
95% Credible Interval: 4.42 - 4.487
New Rank: 43
Original Rank: 75 |
| 44 |  | Talking Heads
Remain in Light
Number of Ratings: 1270
Mean Rating: 4.492
95% Credible Interval: 4.419 - 4.559
New Rank: 44
Original Rank: 40 |
| 45 |  | The Jimi Hendrix Experience
Electric Ladyland
Number of Ratings: 1478
Mean Rating: 4.486
95% Credible Interval: 4.419 - 4.549
New Rank: 45
Original Rank: 44 |
| 46 |  | Nick Drake
Pink Moon
Number of Ratings: 1521
Mean Rating: 4.485
95% Credible Interval: 4.418 - 4.547
New Rank: 46
Original Rank: 46 |
| 47 |  | King Crimson
Red
Number of Ratings: 1587
Mean Rating: 4.482
95% Credible Interval: 4.416 - 4.543
New Rank: 47
Original Rank: 50 |
| 48 |  | Tool
Aenima
Number of Ratings: 5031
Mean Rating: 4.452
95% Credible Interval: 4.415 - 4.488
New Rank: 48
Original Rank: 77 |
| 49 |  | Black Sabbath
Master of Reality
Number of Ratings: 2581
Mean Rating: 4.465
95% Credible Interval: 4.413 - 4.514
New Rank: 49
Original Rank: 63 |
| 50 |  | My Bloody Valentine
Loveless
Number of Ratings: 2923
Mean Rating: 4.461
95% Credible Interval: 4.412 - 4.507
New Rank: 50
Original Rank: 72 |
| 51 |  | Metallica
Master of Puppets
Number of Ratings: 6945
Mean Rating: 4.439
95% Credible Interval: 4.407 - 4.47
New Rank: 51
Original Rank: 103 |
| 52 |  | Neutral Milk Hotel
In the Aeroplane Over the Sea
Number of Ratings: 3926
Mean Rating: 4.445
95% Credible Interval: 4.403 - 4.485
New Rank: 52
Original Rank: 89 |
| 53 |  | Bob Dylan
Blood on the Tracks
Number of Ratings: 1140
Mean Rating: 4.478
95% Credible Interval: 4.4 - 4.549
New Rank: 53
Original Rank: 53 |
| 54 |  | Jethro Tull
Thick as a Brick
Number of Ratings: 899
Mean Rating: 4.487
95% Credible Interval: 4.399 - 4.566
New Rank: 54
Original Rank: 43 |
| 55 |  | Bob Dylan
Blonde on Blonde
Number of Ratings: 1098
Mean Rating: 4.476
95% Credible Interval: 4.396 - 4.549
New Rank: 55
Original Rank: 55 |
| 56 |  | Bruce Springsteen
Born to Run
Number of Ratings: 898
Mean Rating: 4.484
95% Credible Interval: 4.396 - 4.563
New Rank: 56
Original Rank: 47 |
| 57 |  | Pixies
Doolittle
Number of Ratings: 2453
Mean Rating: 4.449
95% Credible Interval: 4.395 - 4.499
New Rank: 57
Original Rank: 83 |
| 58 |  | Nine Inch Nails
The Downward Spiral
Number of Ratings: 3321
Mean Rating: 4.441
95% Credible Interval: 4.394 - 4.485
New Rank: 58
Original Rank: 99 |
| 59 |  | Rage Against the Machine
Rage Against the Machine
Number of Ratings: 3902
Mean Rating: 4.437
95% Credible Interval: 4.394 - 4.478
New Rank: 59
Original Rank: 105 |
| 60 |  | The Who
Quadrophenia
Number of Ratings: 962
Mean Rating: 4.48
95% Credible Interval: 4.394 - 4.557
New Rank: 60
Original Rank: 52 |
| 61 |  | The Smiths
The Queen Is Dead
Number of Ratings: 1978
Mean Rating: 4.452
95% Credible Interval: 4.392 - 4.508
New Rank: 61
Original Rank: 78 |
| 62 |  | At the Drive-In
Relationship of Command
Number of Ratings: 3717
Mean Rating: 4.433
95% Credible Interval: 4.39 - 4.475
New Rank: 62
Original Rank: 112 |
| 63 |  | Death
Human
Number of Ratings: 2433
Mean Rating: 4.443
95% Credible Interval: 4.389 - 4.494
New Rank: 63
Original Rank: 94 |
| 64 |  | Stevie Wonder
Songs in the Key of Life
Number of Ratings: 443
Mean Rating: 4.515
95% Credible Interval: 4.389 - 4.622
New Rank: 64
Original Rank: 25 |
| 65 |  | Bob Dylan
Bringing It All Back Home
Number of Ratings: 788
Mean Rating: 4.482
95% Credible Interval: 4.387 - 4.567
New Rank: 65
Original Rank: 49 |
| 66 |  | Jeff Buckley
Grace
Number of Ratings: 1567
Mean Rating: 4.454
95% Credible Interval: 4.387 - 4.517
New Rank: 66
Original Rank: 76 |
| 67 |  | Iron Maiden
The Number of the Beast
Number of Ratings: 3492
Mean Rating: 4.432
95% Credible Interval: 4.387 - 4.475
New Rank: 67
Original Rank: 116 |
| 68 |  | Miles Davis
Bitches Brew
Number of Ratings: 1148
Mean Rating: 4.464
95% Credible Interval: 4.385 - 4.536
New Rank: 68
Original Rank: 66 |
| 69 |  | The Velvet Underground
The Velvet Underground & Nico
Number of Ratings: 1901
Mean Rating: 4.446
95% Credible Interval: 4.385 - 4.503
New Rank: 69
Original Rank: 86 |
| 70 |  | The Stooges
Fun House
Number of Ratings: 858
Mean Rating: 4.475
95% Credible Interval: 4.384 - 4.557
New Rank: 70
Original Rank: 56 |
| 71 |  | Smashing Pumpkins
Siamese Dream
Number of Ratings: 2882
Mean Rating: 4.432
95% Credible Interval: 4.381 - 4.479
New Rank: 71
Original Rank: 118 |
| 72 |  | Rush
Moving Pictures
Number of Ratings: 2576
Mean Rating: 4.433
95% Credible Interval: 4.38 - 4.484
New Rank: 72
Original Rank: 113 |
| 73 |  | Alice in Chains
Dirt
Number of Ratings: 3426
Mean Rating: 4.426
95% Credible Interval: 4.38 - 4.47
New Rank: 73
Original Rank: 131 |
| 74 |  | The Who
Who's Next
Number of Ratings: 1453
Mean Rating: 4.449
95% Credible Interval: 4.379 - 4.514
New Rank: 74
Original Rank: 81 |
| 75 |  | Dead Kennedys
Fresh Fruit for Rotting Vegetables
Number of Ratings: 1354
Mean Rating: 4.447
95% Credible Interval: 4.374 - 4.515
New Rank: 75
Original Rank: 84 |
| 76 |  | Queen
A Night at the Opera
Number of Ratings: 1258
Mean Rating: 4.449
95% Credible Interval: 4.373 - 4.519
New Rank: 76
Original Rank: 82 |
| 77 |  | Slint
Spiderland
Number of Ratings: 1496
Mean Rating: 4.442
95% Credible Interval: 4.372 - 4.507
New Rank: 77
Original Rank: 97 |
| 78 |  | Metallica
Ride the Lightning
Number of Ratings: 6082
Mean Rating: 4.406
95% Credible Interval: 4.371 - 4.44
New Rank: 78
Original Rank: 159 |
| 79 |  | Faith No More
Angel Dust
Number of Ratings: 2077
Mean Rating: 4.43
95% Credible Interval: 4.37 - 4.485
New Rank: 79
Original Rank: 124 |
| 80 |  | Kyuss
Welcome to Sky Valley
Number of Ratings: 1449
Mean Rating: 4.439
95% Credible Interval: 4.368 - 4.505
New Rank: 80
Original Rank: 101 |
| 81 |  | David Bowie
Low
Number of Ratings: 1192
Mean Rating: 4.445
95% Credible Interval: 4.367 - 4.517
New Rank: 81
Original Rank: 88 |
| 82 |  | Rainbow
Rising
Number of Ratings: 763
Mean Rating: 4.463
95% Credible Interval: 4.365 - 4.55
New Rank: 82
Original Rank: 69 |
| 83 |  | Judas Priest
Sad Wings of Destiny
Number of Ratings: 1178
Mean Rating: 4.444
95% Credible Interval: 4.365 - 4.516
New Rank: 83
Original Rank: 91 |
| 84 |  | Deep Purple
Machine Head
Number of Ratings: 1154
Mean Rating: 4.443
95% Credible Interval: 4.363 - 4.516
New Rank: 84
Original Rank: 93 |
| 85 |  | Queensryche
Operation: Mindcrime
Number of Ratings: 1163
Mean Rating: 4.443
95% Credible Interval: 4.363 - 4.516
New Rank: 85
Original Rank: 95 |
| 86 |  | Tom Waits
Rain Dogs
Number of Ratings: 1044
Mean Rating: 4.446
95% Credible Interval: 4.362 - 4.522
New Rank: 86
Original Rank: 87 |
| 87 |  | Unwound
Leaves Turn Inside You
Number of Ratings: 633
Mean Rating: 4.469
95% Credible Interval: 4.362 - 4.564
New Rank: 87
Original Rank: 60 |
| 88 |  | Madvillain
Madvillainy
Number of Ratings: 1529
Mean Rating: 4.431
95% Credible Interval: 4.361 - 4.496
New Rank: 88
Original Rank: 122 |
| 89 |  | Led Zeppelin
Led Zeppelin II
Number of Ratings: 3109
Mean Rating: 4.409
95% Credible Interval: 4.36 - 4.456
New Rank: 89
Original Rank: 152 |
| 90 |  | Kate Bush
Hounds of Love
Number of Ratings: 696
Mean Rating: 4.463
95% Credible Interval: 4.36 - 4.554
New Rank: 90
Original Rank: 71 |
| 91 |  | Black Sabbath
Black Sabbath
Number of Ratings: 2701
Mean Rating: 4.412
95% Credible Interval: 4.359 - 4.462
New Rank: 91
Original Rank: 146 |
| 92 |  | Public Enemy
It Takes a Nation of Millions to Hold Us
Number of Ratings: 1006
Mean Rating: 4.443
95% Credible Interval: 4.358 - 4.521
New Rank: 92
Original Rank: 92 |
| 93 |  | Weezer
Pinkerton
Number of Ratings: 2795
Mean Rating: 4.409
95% Credible Interval: 4.357 - 4.458
New Rank: 93
Original Rank: 156 |
| 94 |  | Vektor
Terminal Redux
Number of Ratings: 399
Mean Rating: 4.491
95% Credible Interval: 4.356 - 4.607
New Rank: 94
Original Rank: 42 |
| 95 |  | Neurosis
Through Silver in Blood
Number of Ratings: 1213
Mean Rating: 4.432
95% Credible Interval: 4.354 - 4.504
New Rank: 95
Original Rank: 117 |
| 96 |  | David Bowie
Hunky Dory
Number of Ratings: 1254
Mean Rating: 4.43
95% Credible Interval: 4.353 - 4.501
New Rank: 96
Original Rank: 123 |
| 97 |  | Dissection
Storm of the Light's Bane
Number of Ratings: 1141
Mean Rating: 4.433
95% Credible Interval: 4.352 - 4.507
New Rank: 97
Original Rank: 114 |
| 98 |  | Beastie Boys
Paul's Boutique
Number of Ratings: 1178
Mean Rating: 4.431
95% Credible Interval: 4.352 - 4.504
New Rank: 98
Original Rank: 120 |
| 99 |  | Swans
Soundtracks for the Blind
Number of Ratings: 819
Mean Rating: 4.446
95% Credible Interval: 4.351 - 4.532
New Rank: 99
Original Rank: 85 |
| 100 |  | Converge
Jane Doe
Number of Ratings: 3912
Mean Rating: 4.395
95% Credible Interval: 4.351 - 4.437
New Rank: 100
Original Rank: 184 |
| 101 |  | Rush
Hemispheres
Number of Ratings: 1636
Mean Rating: 4.417
95% Credible Interval: 4.35 - 4.481
New Rank: 101
Original Rank: 142 |
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