What is the average album rating? - Progressive Rock Music Forum

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rileydog22 View Drop Down

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Topic: What is the average album rating?
Posted: July 03 2008 at 12:59

Zeuhl takes the prize!

Congratulations, gentlemen. We all did our part.

tuxon

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Posted: July 03 2008 at 10:19

Your welcome.

For those curious. these are the average ratings by subgenre (again, aprox).

the weighted average is taken into account the nr of ratings for an album, the normal average is counting every album as 1. of course the weighted average is more accurate, but as I can't compensate for the logarythm used to calculate the averages on this site it's still not perfect.

	nr albums with ratings	average rating	nr. ratings	weight adjusted average rating
Canterbury Scene	289	3,51	3558	3,83
Crossover Prog	840	3,29	8968	3,53
Eclectic Prog	982	3,43	12958	3,83
Experimental/Post Metal	221	3,58	3396	3,83
Heavy Prog	579	3,36	10645	3,75
Indo-Prog/Raga Rock	74	3,49	231	3,53
Italian Symphonic Prog	578	3,36	5817	3,80
Jazz Rock/Fusion	1402	3,58	7745	3,81
Krautrock	388	3,42	2675	3,69
Neo Progressive	846	3,39	9865	3,65
Post Rock/Math rock	269	3,38	1986	3,66
Prog Folk	800	3,48	6625	3,74
Prog Related	1145	3,24	10994	3,47
Progressive Electronic	626	3,19	2862	3,54
Progressive Metal	857	3,56	15237	3,83
Proto-Prog	329	3,29	3997	3,61
Psychedelic/Space Rock	936	3,43	10228	3,80
RIO/Avant-Prog	905	3,55	5502	3,82
Symphonic Prog	1735	3,37	31462	3,74
Tech/Extreme Prog Metal	353	3,52	4010	3,88
Zeuhl	126	3,84	1267	3,99

total albums with rating	14280
average rating	3,42
total nr of ratings	160028
average nr of ratings per album	11,21
nr of albums currently in Dbase	18107
nr albums without rating (aprox)	3827
weighted average rating	3,73

Nr of bands currently in Dbase 3599
Nr of bands used 3234

Naturally the weighted average is higher, as the more popular and higher regarded albums are far more often rated, so they weigh heavy on the average.

Edited by tuxon - July 03 2008 at 11:00

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Equality 7-2521 View Drop Down

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Posted: July 03 2008 at 09:42

Thank you Tuxon.

Edited by Equality 7-2521 - July 03 2008 at 09:43

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Queen By-Tor View Drop Down

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Posted: July 03 2008 at 02:19

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

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

tuxon

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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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rileydog22 View Drop Down

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Posted: July 03 2008 at 00:53

tuxon wrote:

Give me a second and i'll calculate it.

Beatcha to it. It's 3.1415926535.

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Posted: July 03 2008 at 00:38

Equality 7-2521 wrote:

Ivan_Melgar_M wrote:

There are two averages inthis case:

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

tuxon

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Posted: July 02 2008 at 23:53

Give me a second and i'll calculate it.

I'm always almost unlucky _ _ _ _ _ _ _ _ Id5ZcnjXSZaSMFMC Id5LM2q2jfqz3YxT

Equality 7-2521 View Drop Down

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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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Dean

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Posted: July 02 2008 at 20:35

Equality 7-2521 wrote:

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!

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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Posted: July 02 2008 at 11:49

MikeEnRegalia wrote:

the 0 was "outlawed". LOL

Odd - does it matter what we call the lowest possible rating?

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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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Padraic

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Posted: July 02 2008 at 11:44

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

MikeEnRegalia View Drop Down

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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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Posted: July 02 2008 at 11:34

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.

"One had to be a Newton to notice that the moon is falling, when everyone sees that it doesn't fall. "

Equality 7-2521 View Drop Down

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Posted: July 02 2008 at 11:34

Ivan_Melgar_M wrote:

There are two averages inthis case:

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

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.

"One had to be a Newton to notice that the moon is falling, when everyone sees that it doesn't fall. "

MikeEnRegalia View Drop Down

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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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Posted: July 02 2008 at 09:08

There are two averages inthis case:

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