Puella Magi Madoka Magica (TV)
Rating Average: 3.5000Rating Stddev: 0.5
Review Count: 4
Existing Best Bet #: 3.86135311614679
( $rating_average - $rating_stddev ) + ( log($reviews) / log(5) )
( 3.5000 - 0.5 ) + ( 1.38629436111989 / 1.6094379124341 )
( 3 ) - 0.861353116146786
Proposed Best Bet #:
( ( $rating_average - ( $rating_stddev / 2) ) - ( ( $stddev==0 and $reviews<5)? .5: 0 ) * $similarity
( ( 3.5000 - 0.25 ) - 0 ) * $similarity
( 3.25 - 0 ) * $similarity
3.25 * $similarity
In English: Average rating minus half the standard deviation of the ratings, with a penalty of half a rating point if there are fewer then five reviews with no variation in their ratings.
Discussion: This uses the average rating as the base, lowering the overall rating based on the amount of variance in the ratings. Additionally it lowers the rating if only a few people have rated it and they've all given it the same score. Perhaps shows with few ratings shouldn't even show up in best bets.
Keywords: 8 - 2011, TV, Fantasy, Modern, Mahou Shoujo, Dark, Drama, Horror
For reference, Devil Doll's similarity calc is this:
( $matching_keys * ( $matching_keys / $total_keys ) * $total_keys ) / ( $total_keys * $total_keys )
| Title | Key Match | Rating | Rating - stddev | Devil Doll's Similarity Calc | New bbet | New bbet * Similarity | Old bbet | Old bbet * Similarity |
|---|---|---|---|---|---|---|---|---|
| Jigoku Shoujo Futakomori | 6 | 4.00 | 4.00 | 56% | 3.50 | 1.97 | 4.68 | 2.63 |
| Jigoku Shoujo | 6 | 3.60 | 3.36 | 56% | 3.36 | 1.89 | 4.11 | 2.31 |
| Mawaru Penguindrum | 6 | 3.50 | 3.25 | 56% | 3.25 | 1.83 | 3.43 | 1.93 |
| Kamichu! | 5 | 3.80 | 3.60 | 39% | 3.60 | 1.41 | 4.40 | 1.72 |
| Interlude | 5 | 3.75 | 3.53 | 39% | 3.53 | 1.38 | 4.18 | 1.63 |
| Fate/Zero | 5 | 4.00 | 4.00 | 39% | 3.50 | 1.37 | 4.43 | 1.73 |
| Death Note | 5 | 4.00 | 4.00 | 39% | 3.50 | 1.37 | 4.86 | 1.90 |
| X (TV) | 5 | 3.75 | 3.47 | 39% | 3.47 | 1.36 | 4.91 | 1.92 |
| X-Men | 5 | 3.50 | 3.25 | 39% | 3.25 | 1.27 | 3.43 | 1.34 |
| Loveless (TV) | 5 | 3.50 | 3.25 | 39% | 3.25 | 1.27 | 3.43 | 1.34 |
| Higurashi no Naku Koro ni Kai | 5 | 3.50 | 3.25 | 39% | 3.25 | 1.27 | 3.43 | 1.34 |
| Kami nomi zo Shiru Sekai II | 5 | 3.50 | 3.25 | 39% | 3.25 | 1.27 | 3.86 | 1.51 |
| Uta Kata | 5 | 3.33 | 3.10 | 39% | 3.10 | 1.21 | 3.54 | 1.38 |
| Monster | 5 | 3.50 | 3.07 | 39% | 3.07 | 1.20 | 3.50 | 1.37 |
| Blood Plus | 5 | 3.11 | 2.67 | 39% | 2.67 | 1.04 | 3.60 | 1.41 |
| Tokyo Ghoul √A | 5 | 3.00 | 3.00 | 39% | 2.50 | 0.98 | 3.00 | 1.17 |
| Chainsaw Man | 5 | 3.00 | 3.00 | 39% | 2.50 | 0.98 | 3.43 | 1.34 |
| Nyanpire The Animation | 5 | 3.00 | 3.00 | 39% | 2.50 | 0.98 | 3.00 | 1.17 |
| Persona 4: The Animation | 5 | 3.00 | 2.50 | 39% | 2.50 | 0.98 | 2.43 | 0.95 |
| Juuni Kokuki | 4 | 3.90 | 3.75 | 25% | 3.75 | 0.94 | 5.03 | 1.26 |
| Chrono Crusade | 4 | 3.89 | 3.73 | 25% | 3.73 | 0.93 | 4.94 | 1.23 |
| Shoujo Kakumei Utena | 4 | 3.83 | 3.65 | 25% | 3.65 | 0.91 | 5.26 | 1.31 |
| Usagi Drop | 4 | 3.80 | 3.60 | 25% | 3.60 | 0.90 | 4.40 | 1.10 |
| Mahou Shoujo Lyrical Nanoha | 4 | 3.75 | 3.53 | 25% | 3.53 | 0.88 | 4.18 | 1.04 |
| Rozen Maiden | 4 | 3.75 | 3.53 | 25% | 3.53 | 0.88 | 4.61 | 1.15 |
| MEMORIES | 4 | 3.75 | 3.53 | 25% | 3.53 | 0.88 | 4.18 | 1.04 |
| Mahou Shoujo Lyrical Nanoha A's | 4 | 3.75 | 3.53 | 25% | 3.53 | 0.88 | 4.18 | 1.04 |
| Dororon Enma-kun Meeramera | 5 | 2.50 | 2.25 | 39% | 2.25 | 0.88 | 2.43 | 0.95 |
| Ano Hi Mita Hana no Namae o Boku-tachi wa Mada Shiranai | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.00 | 1.00 |
| Mouryou no Hako | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.00 | 1.00 |
| Haiyore! Nyaruko-san W | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.00 | 1.00 |
| Gekijō-ban Mahō Shōjo Madoka Magica Kōhen: Eien no Monogatari | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.00 | 1.00 |
| Happy Sugar Life | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.00 | 1.00 |
| Death Parade | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.00 | 1.00 |
| Iroduku Sekai no Ashita kara | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.00 | 1.00 |
| Yakusoku no Neverland | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.00 | 1.00 |
| Hime-chan no Ribbon | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.68 | 1.17 |
| Natsume Yuujinchou Shi | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.00 | 1.00 |
| Rumic Theater | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.00 | 1.00 |
| Gekijō-ban Mahō Shōjo Madoka Magica Zenpen: Hajimari no Monogatari | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.00 | 1.00 |
| Hotarubi no Mori e | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.00 | 1.00 |
| Sonny Boy | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.00 | 1.00 |
| Momo e no Tegami | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.00 | 1.00 |
| Kaiji | 4 | 4.00 | 4.00 | 25% | 3.50 | 0.88 | 4.00 | 1.00 |
| Gunslinger Girl | 4 | 3.67 | 3.33 | 25% | 3.33 | 0.83 | 4.37 | 1.09 |
| Pet Shop of Horrors | 4 | 3.67 | 3.33 | 25% | 3.33 | 0.83 | 4.37 | 1.09 |
| Shin Shirayuki Hime Densetsu Pretear | 4 | 3.62 | 3.28 | 25% | 3.28 | 0.82 | 4.22 | 1.06 |
| Sasami: Mahou Shoujo Club 2 | 4 | 3.50 | 3.25 | 25% | 3.25 | 0.81 | 3.43 | 0.86 |
| Nagasarete Airantou | 4 | 3.50 | 3.25 | 25% | 3.25 | 0.81 | 4.11 | 1.03 |
| Ayakashi - Japanese Classic Horror | 4 | 3.50 | 3.25 | 25% | 3.25 | 0.81 | 3.43 | 0.86 |
