Princess Tutu
Rating Average: 3.7500Rating Stddev: 0.43301270189221935
Review Count: 4
Existing Best Bet #: 4.17834041425457
( $rating_average - $rating_stddev ) + ( log($reviews) / log(5) )
( 3.7500 - 0.43301270189221935 ) + ( 1.38629436111989 / 1.6094379124341 )
( 3.31698729810778 ) - 0.861353116146786
Proposed Best Bet #:
( ( $rating_average - ( $rating_stddev / 2) ) - ( ( $stddev==0 and $reviews<5)? .5: 0 ) * $similarity
( ( 3.7500 - 0.21650635094611 ) - 0 ) * $similarity
( 3.53349364905389 - 0 ) * $similarity
3.53349364905389 * $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, Romance, Music Oriented, Kawaii, Fantasy, Drama, All Ages, 2003, 2002
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 |
|---|---|---|---|---|---|---|---|---|
| Shin Shirayuki Hime Densetsu Pretear | 6 | 3.62 | 3.28 | 44% | 3.28 | 1.46 | 4.22 | 1.88 |
| Naruto | 6 | 3.62 | 3.20 | 44% | 3.20 | 1.42 | 4.87 | 2.16 |
| Juuni Kokuki | 5 | 3.90 | 3.75 | 30% | 3.75 | 1.16 | 5.03 | 1.55 |
| G-on Riders | 6 | 3.00 | 2.59 | 44% | 2.59 | 1.15 | 2.87 | 1.27 |
| Fruits Basket | 5 | 3.85 | 3.61 | 30% | 3.61 | 1.11 | 5.23 | 1.62 |
| Kamichu! | 5 | 3.80 | 3.60 | 30% | 3.60 | 1.11 | 4.40 | 1.36 |
| Bindzume Yousei | 5 | 4.00 | 4.00 | 30% | 3.50 | 1.08 | 4.43 | 1.37 |
| Aishiteru Ze Baby | 5 | 3.67 | 3.43 | 30% | 3.43 | 1.06 | 4.31 | 1.33 |
| Full Moon wo Sagashite | 5 | 3.60 | 3.27 | 30% | 3.27 | 1.01 | 4.37 | 1.35 |
| Loveless (TV) | 5 | 3.50 | 3.25 | 30% | 3.25 | 1.00 | 3.43 | 1.06 |
| Nagasarete Airantou | 5 | 3.50 | 3.25 | 30% | 3.25 | 1.00 | 4.11 | 1.27 |
| Piano | 5 | 3.50 | 3.25 | 30% | 3.25 | 1.00 | 3.43 | 1.06 |
| Chobits | 5 | 3.56 | 3.16 | 30% | 3.16 | 0.98 | 4.82 | 1.49 |
| Hikaru no Go | 5 | 3.33 | 2.93 | 30% | 2.93 | 0.90 | 3.88 | 1.20 |
| Kaleido Star | 5 | 3.00 | 3.00 | 30% | 2.50 | 0.77 | 3.00 | 0.93 |
| D.N.Angel | 5 | 2.90 | 2.48 | 30% | 2.48 | 0.77 | 3.50 | 1.08 |
| Da Capo | 5 | 2.80 | 2.43 | 30% | 2.43 | 0.75 | 3.05 | 0.94 |
| Shoujo Kakumei Utena | 4 | 3.83 | 3.65 | 19% | 3.65 | 0.72 | 5.26 | 1.04 |
| BECK | 4 | 3.83 | 3.65 | 19% | 3.65 | 0.72 | 4.57 | 0.90 |
| Digimon Tamers | 4 | 3.75 | 3.53 | 19% | 3.53 | 0.70 | 4.18 | 0.83 |
| Rumic Theater | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.00 | 0.79 |
| Mahō Tsukai no Yome Season 2 | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.00 | 0.79 |
| Saiunkoku Monogatari | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.68 | 0.92 |
| Aria the Natural | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.00 | 0.79 |
| Futatsu no Spica | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.00 | 0.79 |
| Hotarubi no Mori e | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.00 | 0.79 |
| Mahō Tsukai no Yome Season 2, Part 2 | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.00 | 0.79 |
| Shounen Onmyouji | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.43 | 0.88 |
| Puchi Puri Yushi | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.00 | 0.79 |
| Saiunkoku Monogatari 2nd Series | 4 | 4.00 | 4.00 | 19% | 3.50 | 0.69 | 4.43 | 0.88 |
| Abenobashi Mahou Shotengai | 4 | 3.67 | 3.43 | 19% | 3.43 | 0.68 | 4.31 | 0.85 |
| Shuffle! | 4 | 3.67 | 3.43 | 19% | 3.43 | 0.68 | 4.31 | 0.85 |
| Planetes | 4 | 3.67 | 3.43 | 19% | 3.43 | 0.68 | 4.31 | 0.85 |
| Kanon | 4 | 3.70 | 3.38 | 19% | 3.38 | 0.67 | 4.49 | 0.89 |
| Hoshi no Koe | 4 | 3.60 | 3.36 | 19% | 3.36 | 0.66 | 4.54 | 0.90 |
| Saishu Heiki Kanojo | 4 | 3.60 | 3.36 | 19% | 3.36 | 0.66 | 4.54 | 0.90 |
| Ai Yori Aoshi | 4 | 3.65 | 3.32 | 19% | 3.32 | 0.66 | 4.86 | 0.96 |
| Cardcaptor Sakura | 4 | 3.65 | 3.30 | 19% | 3.30 | 0.65 | 4.90 | 0.97 |
| Rahxephon | 4 | 3.55 | 3.30 | 19% | 3.30 | 0.65 | 4.54 | 0.90 |
| Binbou Shimai Monogatari | 4 | 3.50 | 3.25 | 19% | 3.25 | 0.64 | 3.43 | 0.68 |
| Galaxy Angel A | 4 | 3.50 | 3.25 | 19% | 3.25 | 0.64 | 3.43 | 0.68 |
| Fushigi no Umi no Nadia | 4 | 3.50 | 3.25 | 19% | 3.25 | 0.64 | 3.86 | 0.76 |
| Sekirei | 4 | 3.50 | 3.25 | 19% | 3.25 | 0.64 | 4.11 | 0.81 |
| Tenkuu no Escaflowne | 4 | 3.56 | 3.23 | 19% | 3.23 | 0.64 | 5.06 | 1.00 |
| Mahou Tsukai ni Taisetsu na Koto | 4 | 3.55 | 3.22 | 19% | 3.22 | 0.64 | 4.38 | 0.87 |
| Rozen Maiden ~Träumend~ | 4 | 3.33 | 3.10 | 19% | 3.10 | 0.61 | 3.54 | 0.70 |
| Nodame Cantabile: Finale | 4 | 3.33 | 3.10 | 19% | 3.10 | 0.61 | 3.54 | 0.70 |
| Vampire Knight | 4 | 3.33 | 3.10 | 19% | 3.10 | 0.61 | 3.54 | 0.70 |
| Tears to Tiara | 4 | 3.25 | 3.03 | 19% | 3.03 | 0.60 | 3.68 | 0.73 |
| Ookami to Koushinryou - Season 2 | 4 | 3.40 | 3.00 | 19% | 3.00 | 0.59 | 3.60 | 0.71 |
