To Aru Majutsu no Index II
Rating Average: 3.5000Rating Stddev: 0.5
Review Count: 2
Existing Best Bet #: 3.43067655807339
( $rating_average - $rating_stddev ) + ( log($reviews) / log(5) )
( 3.5000 - 0.5 ) + ( 0.693147180559945 / 1.6094379124341 )
( 3 ) - 0.430676558073393
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: 9 - TV, Fantasy, Magic, Psychics, Modern, Supernatural, 2011, 2010, Seinen
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 |
|---|---|---|---|---|---|---|---|---|
| To Aru Majutsu no Index | 7 | 3.00 | 2.71 | 60% | 2.71 | 1.64 | 3.54 | 2.14 |
| To Aru Kagaku no Railgun | 6 | 3.33 | 3.10 | 44% | 3.10 | 1.38 | 3.98 | 1.77 |
| Shinrei Tantei Yakumo | 6 | 3.00 | 3.00 | 44% | 2.50 | 1.11 | 3.00 | 1.33 |
| Sekirei ~Pure Engagement~ | 6 | 3.00 | 2.50 | 44% | 2.50 | 1.11 | 2.86 | 1.27 |
| Hanamonogatari | 5 | 4.00 | 4.00 | 30% | 3.50 | 1.08 | 4.00 | 1.23 |
| Da Capo II 2nd Season | 5 | 4.00 | 4.00 | 30% | 3.50 | 1.08 | 4.43 | 1.37 |
| X (TV) | 5 | 3.75 | 3.47 | 30% | 3.47 | 1.07 | 4.91 | 1.52 |
| Air TV | 5 | 3.67 | 3.43 | 30% | 3.43 | 1.06 | 4.31 | 1.33 |
| Shuffle! | 5 | 3.67 | 3.43 | 30% | 3.43 | 1.06 | 4.31 | 1.33 |
| Kami nomi zo Shiru Sekai II | 5 | 3.50 | 3.25 | 30% | 3.25 | 1.00 | 3.86 | 1.19 |
| Loveless (TV) | 5 | 3.50 | 3.25 | 30% | 3.25 | 1.00 | 3.43 | 1.06 |
| Mahou Tsukai ni Taisetsu na Koto | 5 | 3.55 | 3.22 | 30% | 3.22 | 0.99 | 4.38 | 1.35 |
| Rozen Maiden ~Träumend~ | 5 | 3.33 | 3.10 | 30% | 3.10 | 0.96 | 3.54 | 1.09 |
| Tears to Tiara | 5 | 3.25 | 3.03 | 30% | 3.03 | 0.94 | 3.68 | 1.14 |
| sola | 5 | 3.40 | 3.00 | 30% | 3.00 | 0.93 | 3.60 | 1.11 |
| Bleach | 5 | 3.43 | 2.90 | 30% | 2.90 | 0.90 | 3.59 | 1.11 |
| Kaze no Stigma | 5 | 3.17 | 2.72 | 30% | 2.72 | 0.84 | 3.38 | 1.04 |
| Omamori Himari | 5 | 3.00 | 2.65 | 30% | 2.65 | 0.82 | 3.15 | 0.97 |
| The Sacred Blacksmith | 5 | 3.00 | 2.65 | 30% | 2.65 | 0.82 | 3.15 | 0.97 |
| Ichiban Ushiro no Daimaou | 5 | 3.00 | 2.59 | 30% | 2.59 | 0.80 | 3.30 | 1.02 |
| Natsume Yuujinchou San | 5 | 3.00 | 3.00 | 30% | 2.50 | 0.77 | 3.00 | 0.93 |
| Night Wizard | 5 | 3.00 | 3.00 | 30% | 2.50 | 0.77 | 3.43 | 1.06 |
| Punch Line | 5 | 3.00 | 3.00 | 30% | 2.50 | 0.77 | 3.00 | 0.93 |
| The Last Summoner S1 | 5 | 3.00 | 3.00 | 30% | 2.50 | 0.77 | 3.00 | 0.93 |
| Da Capo II | 5 | 3.00 | 2.50 | 30% | 2.50 | 0.77 | 2.43 | 0.75 |
| Big Order TV & OVA | 5 | 3.00 | 3.00 | 30% | 2.50 | 0.77 | 3.00 | 0.93 |
| Gokukoku no Brynhildr | 5 | 3.00 | 3.00 | 30% | 2.50 | 0.77 | 3.00 | 0.93 |
| Angel Beats! | 5 | 2.91 | 2.46 | 30% | 2.46 | 0.76 | 3.50 | 1.08 |
| Aquarian Age | 5 | 2.67 | 2.43 | 30% | 2.43 | 0.75 | 2.88 | 0.89 |
| Da Capo | 5 | 2.80 | 2.43 | 30% | 2.43 | 0.75 | 3.05 | 0.94 |
| Juuni Kokuki | 4 | 3.90 | 3.75 | 19% | 3.75 | 0.74 | 5.03 | 0.99 |
| Da Capo Second Season | 5 | 2.75 | 2.34 | 30% | 2.34 | 0.72 | 2.78 | 0.86 |
| Tokyo Majin Gakuen Kenpuchou: Tou | 5 | 2.75 | 2.34 | 30% | 2.34 | 0.72 | 2.78 | 0.86 |
| Chikyu Shojo Arjuna | 4 | 3.83 | 3.65 | 19% | 3.65 | 0.72 | 4.57 | 0.90 |
| Magikano | 4 | 3.80 | 3.60 | 19% | 3.60 | 0.71 | 4.40 | 0.87 |
| Suzumiya Haruhi no Yuutsu | 4 | 3.80 | 3.60 | 19% | 3.60 | 0.71 | 4.83 | 0.95 |
| Kamichu! | 4 | 3.80 | 3.60 | 19% | 3.60 | 0.71 | 4.40 | 0.87 |
| Rozen Maiden | 4 | 3.75 | 3.53 | 19% | 3.53 | 0.70 | 4.61 | 0.91 |
| Interlude | 4 | 3.75 | 3.53 | 19% | 3.53 | 0.70 | 4.18 | 0.83 |
| Dororon Enma-kun Meeramera | 5 | 2.50 | 2.25 | 30% | 2.25 | 0.69 | 2.43 | 0.75 |
| Kokoro Connect | 5 | 2.50 | 2.25 | 30% | 2.25 | 0.69 | 2.43 | 0.75 |
| Ore no Imouto ga Konna ni Kawaii Wake ga Nai | 5 | 2.50 | 2.25 | 30% | 2.25 | 0.69 | 2.86 | 0.88 |
| Haiyore! Nyaruko-san W | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.00 | 0.79 |
| Fairy Tail | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.00 | 0.79 |
| Fate/Zero | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.43 | 0.88 |
| Suzumiya Haruhi no Shoushitsu | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.68 | 0.92 |
| Dorohedoro | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.00 | 0.79 |
| Little Witch Academia TV | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.00 | 0.79 |
| Iroduku Sekai no Ashita kara | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.00 | 0.79 |
| Shiki | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.43 | 0.88 |
