Best bets for:

Hagane no Renkinjutsushi

Rating Average: 3.5714
Rating Stddev: 0.7284313590846835
Review Count: 14
Existing Best Bet #: 4.48270715411088
( $rating_average - $rating_stddev ) + ( log($reviews) / log(5) )
( 3.5714 - 0.7284313590846835 ) + ( 2.63905732961526 / 1.6094379124341 )
( 2.84296864091532 ) - 1.63973851319556
Proposed Best Bet #:
( ( $rating_average - ( $rating_stddev / 2) ) - ( ( $stddev==0 and $reviews<5)? .5: 0 ) * $similarity
( ( 3.5714 - 0.364215679542342 ) - 0 ) * $similarity
( 3.20718432045766 - 0 ) * $similarity
3.20718432045766 * $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: 11 - Action, Adventure, Mecha, 2004, TV, 2003, Fantasy, Dark, Epic, Horror, Action Comedy

For reference, Devil Doll's similarity calc is this:
( $matching_keys * ( $matching_keys / $total_keys ) * $total_keys ) / ( $total_keys * $total_keys )
Pool of potential series:
TitleKey MatchRatingRating - stddevDevil Doll's Similarity CalcNew bbetNew bbet * SimilarityOld bbetOld bbet * Similarity
Chrono Crusade 8 3.89 3.73 52% 3.73 1.97 4.94 2.61
Naruto 8 3.62 3.20 52% 3.20 1.69 4.87 2.57
Interlude 7 3.75 3.53 40% 3.53 1.43 4.18 1.69
Bleach 7 3.43 2.90 40% 2.90 1.18 3.59 1.45
Juuni Kokuki 6 3.90 3.75 29% 3.75 1.12 5.03 1.50
Casshern: The Last Day on Earth 6 4.00 4.00 29% 3.50 1.04 4.00 1.19
Naruto Shippuuden (TV) 6 4.00 4.00 29% 3.50 1.04 4.00 1.19
Boukyaku no Senritsu 7 3.00 2.55 40% 2.55 1.03 3.11 1.26
Samurai 7 6 3.67 3.43 29% 3.43 1.02 3.88 1.15
Tenkuu no Escaflowne 6 3.56 3.23 29% 3.23 0.96 5.06 1.50
Inuyasha 6 3.38 2.90 29% 2.90 0.86 4.73 1.41
Kiddy Grade 6 3.12 2.66 29% 2.66 0.79 3.49 1.04
Kenran Butoh Sai: The Mars Daybreak 6 3.00 2.65 29% 2.65 0.79 3.15 0.94
.hack//Tasogare no Udewa Densetsu 6 3.00 2.59 29% 2.59 0.77 3.30 0.98
Mai-HiME 5 3.88 3.71 20% 3.71 0.77 4.84 1.00
Scrapped Princess 5 3.88 3.71 20% 3.71 0.77 4.84 1.00
Vampire Hunter 6 3.00 3.00 29% 2.50 0.74 3.00 0.89
Kyou Kara Maou 6 3.00 3.00 29% 2.50 0.74 3.00 0.89
Mahou Shoujo Lyrical Nanoha 5 3.75 3.53 20% 3.53 0.73 4.18 0.86
Rozen Maiden 5 3.75 3.53 20% 3.53 0.73 4.61 0.95
Death Note 5 4.00 4.00 20% 3.50 0.72 4.86 1.00
KURAU Phantom Memory 5 4.00 4.00 20% 3.50 0.72 4.00 0.83
Heat Guy J 5 4.00 4.00 20% 3.50 0.72 4.68 0.97
Bubblegum Crisis Tokyo 2040 5 3.70 3.47 20% 3.47 0.72 4.67 0.97
Legend of Basara 5 3.67 3.43 20% 3.43 0.71 3.88 0.80
Planetes 5 3.67 3.43 20% 3.43 0.71 4.31 0.89
Slayers Try 5 3.69 3.39 20% 3.39 0.70 4.68 0.97
Jigoku Shoujo 5 3.60 3.36 20% 3.36 0.69 4.11 0.85
Mousou Dairinin 5 3.50 3.25 20% 3.25 0.67 3.43 0.71
Uta Kata 5 3.33 3.10 20% 3.10 0.64 3.54 0.73
Monster 5 3.50 3.07 20% 3.07 0.63 3.50 0.72
Tears to Tiara 5 3.25 3.03 20% 3.03 0.63 3.68 0.76
Code Geass Hangyaku no Lelouch 5 3.29 2.94 20% 2.94 0.61 3.79 0.78
Ninja Scroll Dragon Gem 5 3.33 2.86 20% 2.86 0.59 3.07 0.63
Seirei no Moribito 5 3.33 2.86 20% 2.86 0.59 3.07 0.63
Isekai no Seikishi Monogatari 5 3.33 2.86 20% 2.86 0.59 3.07 0.63
Ima Soko ni Iru Boku 5 3.33 2.86 20% 2.86 0.59 3.07 0.63
Zero no Tsukaima 5 3.00 2.78 20% 2.78 0.57 3.98 0.82
Divergence Eve 6 2.40 1.89 29% 1.89 0.56 2.38 0.71
Pocket Monsters 6 2.48 1.87 29% 1.87 0.56 3.15 0.94
Bakuretsu Tenshi 5 3.00 2.65 20% 2.65 0.55 3.15 0.65
D.Gray-man 5 3.00 2.59 20% 2.59 0.54 2.87 0.59
Full Metal Panic ~Fumoffu~ 4 4.00 4.00 13% 4.00 0.53 5.59 0.74
Read or Die - TV 4 4.00 4.00 13% 4.00 0.53 5.11 0.68
Eureka Seven 4 4.00 4.00 13% 4.00 0.53 5.00 0.66
High School of the Dead 5 3.00 2.55 20% 2.55 0.53 3.11 0.64
Code Geass Hangyaku no Lelouch Season 2 5 3.00 2.55 20% 2.55 0.53 3.11 0.64
Sunabouzu 5 3.00 2.55 20% 2.55 0.53 3.11 0.64
Zero no Tsukaima: Futatsuki no Kishi 5 2.86 2.54 20% 2.54 0.52 3.43 0.71
Top wo Nerae! 2 5 3.00 3.00 20% 2.50 0.52 3.00 0.62

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