Arc the Lad
Rating Average: 3.3333Rating Stddev: 0.9428090415820634
Review Count: 6
Existing Best Bet #: 3.50377371097732
( $rating_average - $rating_stddev ) + ( log($reviews) / log(5) )
( 3.3333 - 0.9428090415820634 ) + ( 1.79175946922805 / 1.6094379124341 )
( 2.39049095841794 ) - 1.11328275255938
Proposed Best Bet #:
( ( $rating_average - ( $rating_stddev / 2) ) - ( ( $stddev==0 and $reviews<5)? .5: 0 ) * $similarity
( ( 3.3333 - 0.471404520791032 ) - 0 ) * $similarity
( 2.86189547920897 - 0 ) * $similarity
2.86189547920897 * $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: 5 - Adventure, Fantasy, Sci-Fi, TV, 1999
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 |
|---|---|---|---|---|---|---|---|---|
| Scrapped Princess | 4 | 3.88 | 3.71 | 64% | 3.71 | 2.37 | 4.84 | 3.10 |
| Orphen | 4 | 3.85 | 3.67 | 64% | 3.67 | 2.35 | 5.08 | 3.25 |
| Interlude | 4 | 3.75 | 3.53 | 64% | 3.53 | 2.26 | 4.18 | 2.67 |
| Mahou Shoujo Lyrical Nanoha A's | 4 | 3.75 | 3.53 | 64% | 3.53 | 2.26 | 4.18 | 2.67 |
| Mahou Shoujo Lyrical Nanoha | 4 | 3.75 | 3.53 | 64% | 3.53 | 2.26 | 4.18 | 2.67 |
| Dorohedoro | 4 | 4.00 | 4.00 | 64% | 3.50 | 2.24 | 4.00 | 2.56 |
| Hunter X Hunter | 4 | 4.00 | 4.00 | 64% | 3.50 | 2.24 | 4.43 | 2.84 |
| Abenobashi Mahou Shotengai | 4 | 3.67 | 3.43 | 64% | 3.43 | 2.20 | 4.31 | 2.76 |
| Gokudo-kun Manyuki | 4 | 3.67 | 3.43 | 64% | 3.43 | 2.20 | 4.31 | 2.76 |
| Senkaiden Houshin Engi | 4 | 3.67 | 3.43 | 64% | 3.43 | 2.20 | 3.88 | 2.48 |
| Mugen no Ryvius | 4 | 3.60 | 3.36 | 64% | 3.36 | 2.15 | 4.11 | 2.63 |
| Seikai no Monshou | 4 | 3.58 | 3.26 | 64% | 3.26 | 2.09 | 4.49 | 2.87 |
| Kiba | 4 | 3.50 | 3.25 | 64% | 3.25 | 2.08 | 3.43 | 2.20 |
| Hai to Gensou no Grimgar | 4 | 3.50 | 3.25 | 64% | 3.25 | 2.08 | 3.43 | 2.20 |
| Chikyuu Bouei Kigyou Dai-Guard | 4 | 3.33 | 3.10 | 64% | 3.10 | 1.98 | 3.54 | 2.27 |
| Heppoko Jiken Animation Excel Saga | 4 | 3.42 | 3.01 | 64% | 3.01 | 1.93 | 4.44 | 2.84 |
| Aa! Megami-sama: Chichai tte Koto wa Benri da Ne | 4 | 3.33 | 2.91 | 64% | 2.91 | 1.86 | 4.03 | 2.58 |
| Isekai no Seikishi Monogatari | 4 | 3.33 | 2.86 | 64% | 2.86 | 1.83 | 3.07 | 1.97 |
| Ima Soko ni Iru Boku | 4 | 3.33 | 2.86 | 64% | 2.86 | 1.83 | 3.07 | 1.97 |
| .hack//Tasogare no Udewa Densetsu | 4 | 3.00 | 2.59 | 64% | 2.59 | 1.66 | 3.30 | 2.11 |
| Erementar Gerad (TV) | 4 | 3.00 | 2.59 | 64% | 2.59 | 1.66 | 2.87 | 1.83 |
| Boukyaku no Senritsu | 4 | 3.00 | 2.55 | 64% | 2.55 | 1.63 | 3.11 | 1.99 |
| Shin Sekai Yori | 4 | 3.00 | 3.00 | 64% | 2.50 | 1.60 | 3.00 | 1.92 |
| Kurogane Communication | 4 | 3.00 | 2.50 | 64% | 2.50 | 1.60 | 2.43 | 1.56 |
| Patapata Hikousen no Bouken | 4 | 3.00 | 3.00 | 64% | 2.50 | 1.60 | 3.43 | 2.20 |
| Alexander Senki | 4 | 3.00 | 3.00 | 64% | 2.50 | 1.60 | 3.00 | 1.92 |
| Needless | 4 | 3.00 | 2.50 | 64% | 2.50 | 1.60 | 2.86 | 1.83 |
| Hi no Tori | 4 | 3.00 | 3.00 | 64% | 2.50 | 1.60 | 3.00 | 1.92 |
| Log Horizon 2 | 4 | 3.00 | 3.00 | 64% | 2.50 | 1.60 | 3.00 | 1.92 |
| Mahou Shoujo Lyrical Nanoha StrikerS | 4 | 2.75 | 2.34 | 64% | 2.34 | 1.49 | 2.78 | 1.78 |
| Gilgamesh | 4 | 2.50 | 2.25 | 64% | 2.25 | 1.44 | 2.43 | 1.56 |
| Majutsushi Orphen Revenge | 4 | 2.50 | 2.25 | 64% | 2.25 | 1.44 | 2.43 | 1.56 |
| Log Horizon | 4 | 2.50 | 2.25 | 64% | 2.25 | 1.44 | 2.43 | 1.56 |
| Kyoushirou to Towa no Sora | 4 | 2.50 | 2.25 | 64% | 2.25 | 1.44 | 2.43 | 1.56 |
| Read or Die - TV | 3 | 4.00 | 4.00 | 36% | 4.00 | 1.44 | 5.11 | 1.84 |
| Eureka Seven | 3 | 4.00 | 4.00 | 36% | 4.00 | 1.44 | 5.00 | 1.80 |
| Dragon Ball Z | 4 | 2.67 | 2.13 | 64% | 2.13 | 1.36 | 3.27 | 2.10 |
| Juuni Kokuki | 3 | 3.90 | 3.75 | 36% | 3.75 | 1.35 | 5.03 | 1.81 |
| Chrono Crusade | 3 | 3.89 | 3.73 | 36% | 3.73 | 1.34 | 4.94 | 1.78 |
| Vandread | 3 | 3.89 | 3.73 | 36% | 3.73 | 1.34 | 4.94 | 1.78 |
| Duplicate entry - .hack//Legend of the Twilight | 4 | 2.33 | 2.10 | 64% | 2.10 | 1.34 | 2.54 | 1.63 |
| Trigun | 3 | 3.90 | 3.70 | 36% | 3.70 | 1.33 | 5.94 | 2.14 |
| Star Ocean EX | 4 | 2.43 | 2.06 | 64% | 2.06 | 1.32 | 2.91 | 1.86 |
| Darker than Black - Kuro no Keiyakusha | 3 | 3.80 | 3.60 | 36% | 3.60 | 1.30 | 4.40 | 1.58 |
| Vandread The Second Stage | 3 | 3.80 | 3.60 | 36% | 3.60 | 1.30 | 4.40 | 1.58 |
| Cowboy Bebop | 3 | 3.81 | 3.55 | 36% | 3.55 | 1.28 | 5.74 | 2.07 |
| Digimon Tamers | 3 | 3.75 | 3.53 | 36% | 3.53 | 1.27 | 4.18 | 1.50 |
| Rozen Maiden | 3 | 3.75 | 3.53 | 36% | 3.53 | 1.27 | 4.61 | 1.66 |
| Haiyore! Nyaruko-san W | 3 | 4.00 | 4.00 | 36% | 3.50 | 1.26 | 4.00 | 1.44 |
| Avatar: The Last Airbender - Season 1 | 3 | 4.00 | 4.00 | 36% | 3.50 | 1.26 | 4.43 | 1.60 |
