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Equality 7-2521 View Drop Down
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Points: 15784 		Direct Link To This Post Topic: What is the average album rating?
    Posted: June 30 2008 at 22:25
What's the average rating for an album on the site? Is the data for this available?
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Points: 15585 		Direct Link To This Post Posted: July 01 2008 at 03:49
Could you clarify, are you asking how it is caculated?
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Points: 18292 		Direct Link To This Post Posted: July 01 2008 at 13:51
I think he's wondering what rating the average PA album has. (Or what the average rating of an album on PA is)


Edited by Abstrakt - July 01 2008 at 13:54
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Points: 15784 		Direct Link To This Post Posted: July 02 2008 at 08:30
^Exactly. If we took every album and averaged their ratings together, what would we have.
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Points: 1119 		Direct Link To This Post Posted: July 02 2008 at 08:50

I think 3 would be a fair guess I'll put 5€ on it!
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Points: 19535 		Direct Link To This Post Posted: July 02 2008 at 09:08
There are two averages inthis case:
 
  1. The average rating: 3 stars, we have five ooptions, so the third one is the average.
  2. The average number of stars given to an album: In this case we take all the ratings, add the number of stars given  and divide them among the number of ratings, probably is 4 stars or maybe a little higher, being that people tends to rate more the albums they like.

Iván

 
 
            
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Points: 21156 		Direct Link To This Post Posted: July 02 2008 at 09:30
^ that would be the arithmetical mean ... but M@x also implemented weights for the user status (user/collab) and on top of that there's also the weighted average algorithm

I remember from previous threads that the average was somewhere in the 3.5 area ...


Edited by MikeEnRegalia - July 02 2008 at 09:31
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Equality 7-2521 View Drop Down
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Points: 15784 		Direct Link To This Post Posted: July 02 2008 at 11:34
Originally posted by Ivan_Melgar_M Ivan_Melgar_M wrote:

There are two averages inthis case:
 


  1. The average rating: 3 stars, we have five ooptions, so the third one is the average.

  2. The average number of stars given to an album: In this case we take all the ratings, add the number of stars given  and divide them among the number of ratings, probably is 4 stars or maybe a little higher, being that people tends to rate more the albums they like.

Iván


 

 


Well Ivan I would hope that I could figure 1. out by myself.
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Equality 7-2521 View Drop Down
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Points: 15784 		Direct Link To This Post Posted: July 02 2008 at 11:34
Originally posted by MikeEnRegalia MikeEnRegalia wrote:


^ that would be the arithmetical mean ... but M@x also implemented weights for the user status (user/collab) and on top of that there's also the weighted average algorithmI remember from previous threads that the average was somewhere in the 3.5 area ...


Specifically I was wondering about the average without the weightings.
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Points: 21156 		Direct Link To This Post Posted: July 02 2008 at 11:38
actually 3/5 is the *typical* rating ... the mathematical average would be 2.5.Wink
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Points: 31169 		Direct Link To This Post Posted: July 02 2008 at 11:44
Originally posted by MikeEnRegalia MikeEnRegalia wrote:

actually 3/5 is the *typical* rating ... the mathematical average would be 2.5.Wink


Actually it's 3...the range is between 1 and 5.  Think of the average between numbers uniformly distributed between 0 and 4, and then add 1.

Or look up the definition of the mean of a uniform distribution.  Wink


Edited by NaturalScience - July 02 2008 at 11:47
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Points: 21156 		Direct Link To This Post Posted: July 02 2008 at 11:47
^ can't argue with that, mathematically. But I still think of a rating scale from 0 to 5, it's just the the 0 was "outlawed".LOL
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Points: 31169 		Direct Link To This Post Posted: July 02 2008 at 11:49
Originally posted by MikeEnRegalia MikeEnRegalia wrote:

the 0 was "outlawed".LOL


Odd - does it matter what we call the lowest possible rating?
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Points: 37575 		Direct Link To This Post Posted: July 02 2008 at 20:35
Originally posted by Equality 7-2521 Equality 7-2521 wrote:

Originally posted by MikeEnRegalia MikeEnRegalia wrote:


^ that would be the arithmetical mean ... but M@x also implemented weights for the user status (user/collab) and on top of that there's also the weighted average algorithmI remember from previous threads that the average was somewhere in the 3.5 area ...


Specifically I was wondering about the average without the weightings.
Eek! Shocked
 
That's not something you can glean from the site without a lot of hard graft (manually adding up all the individual ratings for each album).
 
From what I can gather the site actually uses two weighted algorithms:
 
1) The user/collab weighting algorithm is used to display the average rating for each album based upon weightings for ratings without review, user ratings with review and collab ratings with review. This is the value shown on the album page and in the top-100 charts.
 
2) The weighted-average algorithm is used to calculate chart position and employs user/collab weighting and weightings for site-average rating per album and site-average-number of ratings per album.
 
In theory it should be possible to back-calculate the site-average from the weighted-average algorithm, but the result of the algorithm is not displayed as a value.


Edited by Dean - July 02 2008 at 20:41
What?
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Equality 7-2521 View Drop Down
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Points: 15784 		Direct Link To This Post Posted: July 02 2008 at 22:40
^ I figured that would be the case. Thought I'd take a shot though. The numerical rating of an album is rather worthless without it I think.
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Points: 5502 		Direct Link To This Post Posted: July 02 2008 at 23:53
Give me a second and i'll calculate it.
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Points: 19535 		Direct Link To This Post Posted: July 03 2008 at 00:38
Originally posted by Equality 7-2521 Equality 7-2521 wrote:

Originally posted by Ivan_Melgar_M Ivan_Melgar_M wrote:

There are two averages inthis case:
 


  1. The average rating: 3 stars, we have five ooptions, so the third one is the average.
  2. The average number of stars given to an album: In this case we take all the ratings, add the number of stars given  and divide them among the number of ratings, probably is 4 stars or maybe a little higher, being that people tends to rate more the albums they like.

Iván


 

 


Well Ivan I would hope that I could figure 1. out by myself.
 
Not necesarilly, because some people consider 3 stars a bad rating bellow the average despite the numbers..
 
Iván
            
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Points: 8844 		Direct Link To This Post Posted: July 03 2008 at 00:53
Originally posted by tuxon tuxon wrote:

Give me a second and i'll calculate it.


Beatcha to it.  It's 3.1415926535.

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Points: 5502 		Direct Link To This Post Posted: July 03 2008 at 02:18

total albums with rating

14280

average rating

3,419583333

total nr of ratings

160028

average nr of ratings per album

11,20644258

nr of albums currently in Dbase

18107

nr albums without rating (aprox)

3827

 
 
I probably missed some albums, but this is pretty much it.
 
have to ask M@X for more precise nrs.
 
I would like to calculate the average's by subgenre aswell, but I don't feel like it.
 
was fun to do btw.
 
edit: I missed the various artist albums, so that's 275 albums I didn't use, only makes up for some 2% so shouldn't skew the averages too much.


Edited by tuxon - July 03 2008 at 02:26
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Points: 16111 		Direct Link To This Post Posted: July 03 2008 at 02:19
Originally posted by Tuxon Tuxon wrote:


total albums with rating

14280

average rating

3,419583333

total nr of ratings

160028

average nr of ratings per album

11,20644258

nr of albums currently in Dbase

18107

nr albums without rating (aprox)

3827


Originally posted by MikeEnRegalia MikeEnRegalia wrote:

^ that would be the arithmetical mean ... but M@x also implemented weights for the user status (user/collab) and on top of that there's also the weighted average algorithm

I remember from previous threads that the average was somewhere in the 3.5 area ...


Mike wins the prize! Big%20smile


Edited by King By-Tor - July 03 2008 at 02:20
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