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documentation_to_calculate_strongest_weakest_individual_player.md

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Field Details
player_diff_total_sum ∑wi(sign='+')(xi- x̄) + ∑wi(sign='-')(xi- x̄), sum of all attributes difference compared to the mean value of each LeafNode
weight_pos_val ∑wi(sign='+')(xi- x̄), sum of attributes difference with positive weights
weight_neg_val ∑wi(sign='-')(xi- x̄), sum of attributes difference with negative weights
weighted_mean_in_LeafNode ∑wx̄, sum of attributes mean value in each LeafNode
weighed_$attribute$_norm_diff wattribute(xattribute - x̄attribute), e.g. weighed_DraftAge_norm_diff
  • Strongest player in strong LeafNodes(if the rate of GP_greater_than_0 > 50%)
id PlayerName DraftYear LeafNode GP_greater_than_0 player_diff_total_sum lmt_prob weight_pos_val weight_neg_val
8469455 Jason Spezza 2001 3 yes 2.573201971432897 0.9282017673222154 1.5149518724634254 1.0582500989694714
8469474 Colby Armstrong 2001 3 yes 2.3783673218444847 0.9140841746450182 1.733848766183595 0.6445185556608896
8469454 Ilya Kovalchuk 2001 3 yes 2.191565712215148 0.8982338589620239 1.3044223178129801 0.8871433944021676
8474040 Sam Gagner 2007 1 yes 4.0264360399140795 0.9969284587291163 3.607425146070099 0.4190108938439805
8474141 Patrick Kane 2007 1 yes 3.575510915857473 0.995186829189845 2.8495207008828474 0.7259902149746256
8474102 David Perron 2007 1 yes 3.2056610480408914 0.9930478269051884 3.150558241377556 0.05510280666333528
8474059 Linus Omark 2007 4 yes 1.3971131080309775 0.7998548932406279 0.3747145573109591 1.0223985507200184
8474114 Oscar Moller 2007 4 yes 1.390128255222534 0.7987343664858106 0.4388812508432919 0.951247004379242
8474627 Jori Lehtera 2008 4 yes 1.3543511587556547 0.7929214120046657 0.7584214819873075 0.5959296767683472
8474146 Spencer Machacek 2007 6 yes 1.8902042170864255 0.9900950944178386 -0.021663440345763063 1.9118676574321887
9347 Justin Azevedo 2008 6 no 1.7695379029302973 0.9888389841358178 0.0913124006850809 1.6782255022452164
8474631 Marc-Andre Bourdon 2008 6 yes 1.6371760954445473 0.9872795553672469 0.16824162116048047 1.4689344742840669
  • Some players have high weight_pos_val(∑wi(xi(sign='+')- x̄)) but lower player_diff_total_sum(∑wi(xi- x̄)). It implies they might be exceptional in some fields but also have obvious weakness in other fileds. e.g.
id PlayerName DraftYear LeafNode GP_greater_than_0 player_diff_total_sum lmt_prob weight_pos_val weight_neg_val weighed_DraftAge_norm_diff weighed_Weight_norm_diff weighed_CSS_rank_norm_diff weighed_rs_P_norm_diff weighed_country_EURO_diff weighed_rs_GP_norm_diff weighed_rs_PIM_norm_diff weighed_rs_PlusMinus_norm_diff weighed_po_A_norm_diff weighed_po_P_norm_diff weighed_po_PIM_norm_diff weighed_country_CAN_diff
8469542 Stephane Veilleux 2001 3 yes 8.641748262585226 0.814777948388665 3.348573604539732 -1.8534006668545049 0.0848315345122045 -0.061360691633222 -1.0909036201709423 0.8416343954816107 -0.00243652510311 0.6469990348517232 -0.06601310452150307 0.000000000000024159255961331284 -0.6964839421620836 1.0981102334175368 0.5179770618781889 0.2228185611348
  • Some players are ranked high in our prediction(in terms of wx_sum, lmt_prob, player_diff_total_sum) but have GP_greater_than_0 = 'no'. The reason can be that they are drafted but never signed a contract with any NHL team. Instead, they play in other competitive leagues. e.g.
id PlayerName DraftYear LeafNode GP_greater_than_0 player_diff_total_sum lmt_prob weight_pos_val weight_neg_val career league
9347 Justin Azevedo 2008 6 no 1.7695379029302973 0.9888389841358178 0.0913124006850809 1.6782255022452164 AHL/KHL