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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         А^VORP : Value Over Replacement Player Replacement Level б╖eЬ Бвї┤е╖aИ? б┤БКaЬeУ aпб═a├eУ й╖╖╣Б╖ A╣бЭём-AЙ▒╖(Zero-Sum game)б╖aФ. e╨ ▒╦e╖ aФeЯ ▒╦б╖ б├aЯeУ БФaИбЭ wпбЯiЯ ш┤eУaФ. e╨ ▒╦б╖ б╗б╗ g┤a╖eб aФeЯ ▒╦б╖ б╖бЛeУ їИe╖ ЙжaИwУa╨aФ. б╖бЛбЛ с╢Б╨смeУ wмБФ▒╦ беaФ gаe╖ ё╕БоiЯ bЧё╕Б╨б┤(бЩeУ wмБФ▒╦б╖ щФ bЧё╕a╨бХвЭ a╨eУ wдєдбХ ╢╖aФ) e╨aФ. bЧё╕ wУbЭб╖ иЙ wпбЯiЯ a╨eУ a╢хИ┴Й в╗iЙAЦeУ їИб╖aФ. wЙЧ╕a╕aИ aИб╗eУ б╖ё╕iЧe╖, й╧aЧ wмA╡смБ╖ aИб├╢╖eУ ўмс┬бЭ Б╨тмEЦaФ. ббeЧ ▒╦iЧб╖ aИw╕ єоAЙ ш┤i╖Бо ╢╖eУ a╢бнeУ бз(aG)wЙЧ╕т╕ б╣хИA╡см бЛе╖a╨aб, aЛсЬaгбЭ б╖iЧe╖ A┬бнe╨Б╖ aИб├eаi╖ б╗еУaФ. aЛБЬсм б┤БКA╡см еСБ╖AЦeУ aИб├iЧe╖ БФБжЕж ББ╙бнўмВA╡см бЛе╖e╨aФ. хмБоБ╖ Б╕wУA╡ aШaЬ aРБТс┤ ееaФeб a┤aа aФq╖┴Й {Иi╖ їИб╖aФ. 1. a┤Б║ т╕e╖ БAпс╠aпa╚ВsЛ хмБо 2. aЛбеaФeУ ▒╣ gаe╖ БоБ╖ Бw═EЛВхмБо 3. Iн Бо Ї┤eУ Бw═EЛб╖a╨ВБ╖ хмБо б╖ Ежб═ бЩe╨, б╖бг Б╕wУ бгiФбЭ е╖Б╨ a╧бЭбЭ х╕╖╨a╨б╗ ╡бe╨ aмqЬiЧi╖ A╣A╢e╨ Боб├б╖aФ. Бw═EЛВў╕бХБ╖ хмБоeа a╨сФaЬбХ aЛ aИб├eУ 0 б╖wмб╖aФ. TPR{Иб╖ w═EЛ ЧмeмwУbЭi╖ бЛЕ║ё╕a╖бЭ s╕eУ БЙeмєдe╖ [w═EЛ Й┬w╕бпeИ]Б╖ aИб├iЯ БЙ╖Ь┴╤a╨eУAХ йпБ╠q╨a╖бЭс░ aЛ a╥w╢ўмi╖ wмйпЦ╨aФ. Replacement Levele╖ aФбн Б┬wмт╕е╖ eбб╖ wИe╨ a╕aЮб╖aР, бЩ wЙA╣т╕е╖ aпХ╚б╖бЛбХ a╨aФ. b╦б╙ ЧмeмwУbЭA╡ бзa╨eУ хмБоБ╖ БРБКўм┴Й Й┬w╕ бпeИi╖ сФ ў╕┬╤б╙ aИqУi╨Бо ╢╖AЙ Б╨Е║aФ. Replacement ValueA╡ БФe╨ a┤б╖бЧс┤iЯ с┤¤ШAЙ aмw╢i╨ їИе╖aИ? Let's look at an example to see where an average-value analysis lets us down. ╖Хй╖ ▒╦A╡см бпe╗i╖ бн┴╤e╨ БЦ хмБоiЯ бзaКБ╨ беa╕. w═EЛб╖ : 600PA(Plate Apprearance : a╚Бо) .260/.330/.420 (AVG/OBP/SLG) с╨в┤б╖ : 100PA .300/.400/.550 w═EЛб╖eУ БОЕ║a╨б╗eа bШб╙ БЦaЧсЬе╗ ╔╤в┤i╖ a╨eУ хмБоeУ a┤бУбЙ, с╨в┤б╖eУ A╣БФбЭ щЪ БШeаe╖ MVPsЛ ╔╤в┤i╖ беa╡Б║eУ хмБоб╖aФ. бпe╗i╖ ┼╡aЮa╨eУAХ 600a╚Бо ў╕бХaИ й╧a╢a╨aФбЙ aИў╕a╨a╕. aЛёЬ с╨в┤б╖Б╖ aРсаб╗ 500a╚БоeУ с┤бЧсм Б└б╢б┤a╨aР? с╨в┤б╖Б╖ БРБКўм ЕвA╣aИ i┤aЭб╗б╗ g┤v┤aФeб, с╨в┤б╖iЯ AХбЯбЙ ╢╖eУ ▒╦e╖ aЛ a╕бЯA╡ A╖й╦бЯб╦ Eеб├ QбсдiЯ a│сИaР, AAAA╡см БТЕКaИiЯ AХaЭб╡сИaР, sЛб╙ с╕бУЕаi╖ БФA┴a╢е╢a╖бЭ БРAнЙ╢ БоcдA╡ Ї┤aФ. б╖AЙ A╖wаБ║aЬeУ хмБоiЧi╖ A┬БФe╨ a┤бПeбсм eФw╕б╖ i╨ Бо ╢╖eУ A┬хмВ└б╖aФ. ▒╦б╖ БСШwиб╖ВaЬeУ AAAхмБоiЯ беA╖a╨бЙ ╢╖Ў┤бЙ, aЛiЯ й┼є┤Ц╨aФбЙ Б╨беa╕. СШwиб╖aИ [A╣ 2Б╖ a╧ЧЬa╟ б╔aаaп]aЬeУ w═i╖ hЧбЙ╢╖бЙ, ╜╣e╖ ╔╤в┤i╖ беa╡Б║бЛiЯ бЛБФa╨б╗eа, СШwиб╖A╡AЙ Бвт╚БФбЙ i┤сдa╦ Б╬й╤aпaИ AЦaЬбЙ i╨ БоeУ Ї┤eУ бСuЯб╖aФ. БКeФб╖ хмБоБ╖ aаб╖сРбЯaЛ aпХ╚i╖ бебЙ бЛБФa╨eУ Боб├eУ БФЧ┬ ў╕Б╨a╣ ╢╖aФ - бе╖╔ ў╕AЛ QбсдбеaФ ╜╣e╖ ўмт╕i╖ БРбЯaЬ бЛБФa╨б╗eУ g┤eУ їИб╖aФ. БКeФб╖ СШwиб╖A╡AЙ .225/.295/.385 ў╕бХБ╖ ўмт╕i╖ бЛБФe╨aФбЙ б├a╕. б╖A╣ СШwиб╖eУ взбЯaЛA╡см с╕ў╕бХ ўмт╕i╖ БРeУ gаe╖ хмБоiЧ Ч║ a╨aРaИ AЦЎ┤aФ. СШwиб╖aИ b╦iеe╨ wУbЭi╖ aИе╗ хмБоeУ a┤бУaФ. eФб╗ хмБо БоsЛ a└е╢A╡см sЛa╨AЙ й┼є┤EЦ хмБой╖ Екб╖aФ. aмйп, СШwиб╖AС ▒╦ eФw╕e╖ й┼є┤i╨ ў╕iа ╜╣e╖ A╖wаБ║aИ ╢╖Ў┤aФeб aФeЯ ▒╦a╖бЭ СШwиб╖iЯ ёРйЛ БобХ ╢╖Ў┤aФ. aЛ e═б╖ a┤aа СШwиб╖ a╕епA╡AЙaР aФeЯ ▒╦A╡AЙaР сФ Гs╨бЯт╕Де╖ БФe┤б╖ AЦЎ┤i╖ їИб╖aФ. й╧a╢e╨ БШA╡ йпй╗т╕ енйпЇ┤б╖ a╕е╢i╖ БФA┴a╨eУ їИб╖aФ. aЛсЬeб СШwиб╖aИ с╨в┤б╖ БФеп iЧс┤┴╡см Бвї┤i╖ Ц╨i╖aМ? БЦ ▒╦(w═EЛб╖aИ бнвнEЦ sИ▒╦, с╨в┤б╖┴╡ СШwиб╖aИ бнвнEЦ i╖▒╦a╖бЭ aРЕТaФ)e╖ a┤БЬ┴╡ {Иe╖ ўмт╕i╖ ш┤Ў┤i╖ їИб╖aФ. sИ▒╦ w═EЛб╖ : 600a╚Бо .260/.330/.420 i╖▒╦ с╨в┤б╖ : 100a╚Бо .300/.400/.550 СШwиб╖ : 500a╚Бо .225/.295/.385 бЯaЛ w═EЛi╖ бЛЕ║a╖бЭ бзaКiЯ Б╨бебХвЭ a╨a╕. с╨в┤б╖aИ w═EЛбеaФ 7bЧё╕ ў╕бХiЯ сФ a╨eУ хмБобЭ aИw╕ aИб├╢╖с┤ бее╖aФ. w═EЛб╖eУ, йСaЬЙ╢ їИбХ Ї┤б╖ aЛс╕ w═EЛў╕бХБ╖ ўмт╕a╖бЭ, aФeЯб╖iЧ┴Й {Иe╖ ╖Йх╨бХ 0б╖aФ. с╨в┤б╖Б╖ Бжwмa╖бЭ й╡aЬе╡ СШwиб╖eУ w═EЛбеaФ в┤ 15ё╕ ў╕бХiЯ aМтаe╖ хмБоб╖aФ. eИeФб╙, w═EЛб╖Б╖ TPR(Total Player Runs)i╖ 0.0 aЛбЯбЙ с╨в┤б╖eУ 0.7, СШwиб╖eУ -1.5aЬ a╨a╕. АЇ_