Comparing the Performance of Baseball Players: A Multiple Output

L4T@h?} |i ihuLh4@?Ui Lu @tiM@**
*@)ihtG *|T*i |T| TThL@U
JDU\ NRRS
Ghsduwphqw ri Hfrqrplfv/ Xqlyhuvlw| ri Jodvjrz/
Jodvjrz/ J45 ;UW/ X1N1
H0pdlo= J1NrrsCvrfvfl1jod1df1xn
Th* 2ff
Lq wklv sdshu/ zh h{whqg lghdv iurp wkh hfrqrplfv olwhudwxuh rq pxowlsoh
rxwsxw surgxfwlrq dqg hflhqf| wr ghyhors phwkrgv iru frpsdulqj edvhedoo
sod|huv zklfk wdnh lqwr dffrxqw wkh idfw wkdw wkhuh duh pdq| glphqvlrqv
wr edwwlqj shuirupdqfh1 D nh| sduw ri rxu dssurdfk lv wkh hvwlpdwlrq
ri dq rxwsxw djjuhjdwru edvhg rq wkh shuirupdqfh ri wkh ehvw sod|huv lq
edvhedoo1 Dq lqglylgxdo sod|hu fdq wkhq eh phdvxuhg uhodwlyh wr wkh ehvw
dqg d qxpehu ehwzhhq }hur dqg rqh fkdudfwhul}hv klv shuirupdqfh dv d
iudfwlrq ri wkh ehvw1 Wkh phwkrgv duh dssolhg xvlqj gdwd iurp 4<<804<<<
rq doo uhjxodu sod|huv lq edvhedoo*v pdmru ohdjxhv1

W?|hL_U|L?
U@_i4Ut @?_ tTLh|t u@?t @*!i @hi Lu|i? ?|ihit|i_ ? @ t|@|t|U@* UL4T@htL? Lu M@tiM@**
T*@)iht At t @h_ |L _L t?Ui M@tiM@** t u?_@4i?|@**) @ 4*|T*i L|T| tTLh| 6Lh
?t|@?Uic tL4i T*@)iht @hi TLih ||iht @?_ i Ui* ? ||?} L4i h?tc L|iht | 4Lhi
t?}*it AL _hiU|*) UL4T@hi @ TLih ||ih *!i @h! UBhi | tL4iL?i L |t
uLh @ih@}i *!i AL?) B)?? t u@h*) 4i@??}*itt W? |i tTLh|?} Thittc |ihi @hi 4@?)
_gihi?| @)t Lu @}}hi}@|?} TihuLh4@?Ui ? _gihi?| Lgi?ti U@|i}Lhit ?|L @ t?}*i ?4
Mih , @4T*it Lu tU L|T| @}}hi}@|Lht ?U*_i M@||?} @ih@}ic L? M@ti TihUi?|@}i @?_
t*}}?} TihUi?|@}i Aihi @hi |L hi*@|i_ ThLM*i4t | tU t|@?_@h_ @)t Lu UL4M??}
_gihi?| Lgi?ti U@|i}Lhit ?|L L?i ?4Mih 6ht|c |i) @hi @** 4TihuiU| 4i@thit Lu Lu
ui?ti TihuLh4@?Ui 6Lh ?t|@?Uic M@||?} @ih@}i ?_ihi}|t |i UL?|hM|L? Lu L4i
h?t @?_ @** Lu |i L|T| @}}hi}@|Lht _L ?L| ULhhiU| uLh _gihi?| T*@)ih UhU4t|@?Uit Ei}
LLht @h! t ?L|LhLt uLh Mi?} @ ||ih<t T@h! @?_c @UULh_?}*)c | t i@tih uLh T*@)iht
L? |i L*Lh@_L +LU!it |L | i** 5iUL?_c |i i}|t ? @** |i L|T| @}}hi}@|Lht @hi
tL4i@| @_ LU 6Lh ?t|@?Uic t*}}?} @ih@}i i}|t L4i h?t ThiUti*) uLh |4it
@t i@*) @t t?}*it( M@||?} @ih@}i i}|t t?}*it @?_ L4i h?t i^@**)( @?_ L? M@ti
TihUi?|@}i i}|t @*!t @?_ |t i^@**) ** tU i}|?} ULUit U@? Mi Uh|U3i_
Ai ThTLti Lu |t T@Tih t |L ti t|@|t|U@* 4i|L_t |L it|4@|i @? L|T| @}}hi}@|Lh
uLh Lgi?ti TihuLh4@?Ui Lu M@tiM@** T*@)iht @?_ |i? UL4T@hi ?__@* T*@)iht |L |t
Mi?U4@h!
Ai t|@|t|U@* 4i|L_t ti_ ? |t T@Tih @hi @_@T|i_ uhL4 |i iUL?L4Ut *|ih@|hi
@?_c i?Uic i @_LT| tL4i iUL?L4U |ih4?L*L}) A@| tc i i M@tiM@** T*@)iht E*!i
h4t ? @? iUL?L4U UL?|i | @t ThL_U?} L|T|t }i? h4 U@h@U|iht|Ut Ei} @ M@||ih
ThL_Uit |i L|T| |t U _iTi?_t L? t t|@|L? ?U*_?} @| |i@4 i T*@)t uLhc
i|U W? @? iUL?L4Ut UL?|i |c )L |)TU@**) tii h4t LTih@|?} | _gihi?| L|T| 4 it
t| @t ? M@tiM@** )L tii M@||iht | _gihi?| 4 it Lu |t Ei} t?}*itc _LM*itc L4i

h?t ) *LL!?} @| |i Mit| h4t ? _gihi?| hi}L?t Lu L|T| tT@Uic |i iUL?L4t| U@?
|h@Ui L| @ ThL_U|L? TLttM*|) Uhi U 4i@thit |i 4@ 44 ui@tM*i UL4M?@|L?t
Lu L|T|t U U@? Mi ThL_Ui_ W? M@tiM@**c i U@? *LL! @| |i Mit| M@||iht ? _gihi?|
hi}L?t Lu L|T| tT@Ui @?_ |h@Ui L| @ UL4T@h@M*i Uhi 6Lh ?t|@?Uic @h! UBhi
4}| i@*) ?i?Ui |i ThL_U|L? TLttM*|) Uhi ? |i TLih _4i?tL?t *i AL?)
B)?? 4}| @i ?i?Ui ? M@||?} @ih@}i _4i?tL?t ?Ui i @i it|4@|i_ |t
ThL_U|L? TLttM*|) Uhic i U@? UL4T@hi ?__@*t |L | 5?Ui |i Uhi hiiU|t Mit|
Th@U|Uic @? @ih@}i T*@)ih ** *i ?t_i |i Uhi t _tUtti_ Mi*Lc @ ?4Mih Mi|ii?
3ihL @?_ L?i U@? Mi U@*U*@|i_ U hiiU|t L u@h |i T*@)ih t uhL4 |i ?i@hit| TL?| L?
|i Uhi 6L**L?} |i iUL?L4Ut *|ih@|hic i hiuih |L |t ?4Mih @t iUi?U) 5Lc uLh
?t|@?Uic i 4}| ?_ @ Uih|@? T*@)ih @t @? iUi?U) Lu fH At ?4Mih @t @ t4T*ic
?||i ?|ihThi|@|L?G |i T*@)ih ?_ih UL?t_ih@|L? t L?*) HfI @t ThL_U|i @t |i
Mit| T*@)iht | @ UL4T@h@M*i L|T| 4 W? L|ih Lh_tc Lh 4i|L_L*L}) @**Lt uLh @
UL4T@htL? Lu @?) T*@)ih | t4*@h T*@)iht @?_ ThL_it @? i@t*) ?|ihThi|@M*ic t?}*i
?4Mih t44@h) Lu @ T*@)ih<t TihuLh4@?Ui 6h|ih4Lhic Lh 4i|L_L*L}) ?ULhTLh@|it
@** Lu |i L|T|t |@| @ M@||ih ThL_Uit @?_ ULhhiU|t uLh |i T*@)ih<t t|@|L? Ei} T*@)?}
? @ T@h|U*@h*) }LL_ Lh M@_ ||ih<t T@h!
Ai *|ih@|hi U tit t|@|t|U@* 4i|L_t |L @?@*)3i M@tiM@** _@|@ t L*4?Lt
OLiihc |L |i Mit| Lu Lh !?L*i_}ic |ihi @t Mii? ?L ThiLt @U@_i4U t|_) Lu |i
4*|T*iL|T| U@h@U|ih Lu M@tiM@** @?_ |i ti Lu iUi?U) @?@*)tt |L 4i@thi @ T*@)ih<t
TihuLh4@?Ui @?) Lu |i 4Lhi ?i?|@* T@Tiht ti _@|@ L? |i TihuLh4@?Ui Lu |i |i@4
@t @ L*i Ei} @hh) @?_ O@h|}@?c bbc k@}c bbD Lh 6ihh@** @?_ 54|c bbb Lh uLUt
L? @ T@h|U*@h 4i@thi Lh |L Lu T*@)ih TihuLh4@?Ui Ei} *Mh}|c bbc ihh)c +iiti
@?_ w@h!i)c bbbc w@U!h|3c bbS @?_ 5U@** @?_ 54|c 2fff Lh _tUtt ttit hi*@|?}
|L t@*@h) _i|ih4?@|L? Ei} @T4@? @?_ 5L|U!c bbc #iT!i?c 2fffc OL@}*? @?_
Vi**i4@?c bbDc k@?c bbc 5U**)c b.e @?_ `@|?!c bbH
ì _ihi @ @h!L @? L?|i @h*L E @*}Lh|4 uLh U@hh)?} L| @)it@?
2
it|4@|L? Lu T*@)ih iUi?Uit ì ti |t @*}Lh|4 |L U@hh) L| t|@|t|U@* ?uihi?Ui
hi*@|?} |L |i TihuLh4@?Ui Lu @** M@||iht L T*@)i_ hi}*@h*) _h?} |i )i@ht bbDbbb
h i4ThU@* ?_?}t @hi ti?tM*i 6Lh ?t|@?Uic Lh *t| Lu |i |LT D h@?!i_ T*@)iht
UL?|@?t |i ?@4it Lu 4@?) Lu |i |LT T*@)iht ? |i }@4i
Ai hi4@?_ih Lu |i T@Tih t Lh}@?3i_ @t uL**Lt Ai ?i | tiU|L? _tUttit |i _@|@
Ai |h_ tiU|L? _ii*LTt |i t|@|t|U@* 4L_i*c *i |i uLh| tiU|L? Thiti?|t i4ThU@*
hit*|t Ai u| tiU|L? UL?U*_it
2
Ai #@|@
Ai _@|@ ti_ ? |t t|_) @t LM|@?i_ uhL4 5i@? w@4@?<t @tiM@** hUi EM@tiM@**UL4
U UL?|@?t @ 4)h@_ Lu t|@|t|Ut L? iih)L?i L @t iih T*@)i_ 4@Lh *i@}i M@tiM@**
W? Lh_ih |L uLUt |i t|_)c i UL?t_ih L?*) TihuLh4@?Ui ?_U@|Lht hi*@|?} |L M@||?}
54*@h 4L_i*t UL*_ Mi _ii*LTi_ |L ?it|}@|i T|U?}c i*_?} Lh M@ti h???} TihuLh
4@?Ui UULh_?}*)c i L4| @** T|Uiht uhL4 Lh t@4T*i @?_ @*tL L4| T*@)iht | uiih
|@? 2ff @| M@|t ? @ }i? )i@h O@?} uiih |@? 2ff @| M@|t t@**) hiiU|t ?h)
Lh ih) hhi}*@h T*@) 6h|ih4Lhic ihh)c +iiti @?_ w@h!i) Ebbb ThL_it UL??U?}
i_i?Ui |@| @ T*@)ih<t @M*|) U@? U@?}i tMt|@?|@**) Lih |i ULhti Lu t U@hiih AL
@L_ i T*U|*) 4L_i**?} tU @}?} @giU|tc i ti _@|@ uhL4 bbDbbb @?_ @tt4i |@| @
T*@)ih<t @M*|) t hL}*) UL?t|@?| Lih tU @ tLh| |4i tT@? h Thiuihhi_ tTiUU@|L?
Etii Mi*L t @ *L}}i_ L?i @?_c i?Uic _Lit ?L| @UUL44L_@|i 3ihL @*it uLh @?) Lu |i
L|T|t UULh_?}*)c i @__ _LM*it @?_ |hT*it |L}i|ih ?|L L?i L|T| Et?Ui |hT*it
@hi ^|i h@hi @?_ _i*i|i @** T*@)ih )i@ht | 3ihL @*it uLh @?) Lu |i L|T|t At
hi4Lit L?*) b LMtih@|L?t Ei T*@)ih)i@ht
Ai hit*|?} _@|@ ti| UL?|@?t ceb2 LMtih@|L?t L? DD _gihi?| T*@)iht t L|T|t
i tiG
+Q ' ?4Mih Lu t?}*it Tih @| M@|c
+2 ' ?4Mih Lu _LM*it T*t |hT*it Tih @| M@|c
+ ' ?4Mih Lu L4i h?t Tih @| M@|c
+e ' ?4Mih Lu @*!t E?U*_?} ?|i?|L?@* @*!t @?_ |M)T|U<t Tih @| M@|
Ai L4ttL? Lu h?t tULhi_ @?_ h?t M@||i_ ? E+Wt uhL4 Lh *t| Lu L|T|t @hh@?|t
i T*@?@|L? Aiti @hi ?L| _hiU| 4i@thit Lu M@||?} TihuLh4@?Ui @?_ UL?|@? 4?4@*
?uLh4@|L? |@| t ?L| @*hi@_) UL?|@?i_ ? + c c +e +?t @?_ +Wt hiiU| |i ||?}
@M*|) Lu @ T*@)ih i|ih |L }i| L? M@ti Lh _hi ? L|ih T*@)iht L @hi @*hi@_) L?
M@ti At t @*hi@_) 4i@thi_ M) |i L|ih L|T|t +?t @?_ +Wt @*tL _iTi?_ L? |i
TihuLh4@?Ui Lu L|ih T*@)iht EU t @*hi@_) 4i@thi_ ? |ih M@||?} t|@|t|Ut @?_
M@ti h???} @M*|) EU t ?L| |i uLUt Lu |i Thiti?| t|_) 6h|ih4Lhic +Wt
_iTi?_ UhU@**) L? @ T*@)ih<t *LU@|L? ? |i M@||?} Lh_ih @?_ i _L ?L| @i _@|@ L?
|t UULh_?}*)c i _L ?L| ?U*_i h?t tULhi_ Lh +Wt @t tiT@h@|i L|T| 4i@thit
AL T*@)iht | |i t@4i *ii* Lu @M*|) U@? @i _gihi?| L|T|t uLh tiih@* hi@tL?t
ì @||i4T| |L UL?|hL* uLh |t |hL} ?U*_?} |i uL**L?} i T*@?@|Lh) @h@M*itG
% ' @? ?|ihUiT|c
%2 %D ' _44it uLh |i )i@ht bbSc bb.c bbH @?_ bbb EbbD t |i L4||i_ )i@hc
%S ' _44) uLh *i@}i E' uLh 4ihU@? wi@}ic
%. %D ' _44it uLh 2b Lu |i f |i@4t U i t|i_ uLh @** Lh T@h| Lu |i bbDbbb
TihL_ E@*|4Lhi hL*it @hi |i L4||i_ |i@4
Ai *i@}i _44) t ?U*_i_ |L hiiU| _gihi?Uit @UhLtt |i 4ihU@? @?_ @|L?@*
wi@}it Th4@h) _gihi?Ui t |i ti Lu |i _it}?@|i_ ||ih Ei @ M@||ih _it}?@|i_
|L | ?t|i@_ Lu |i T|Uih ? |i 4ihU@? wi@}i OLiihc _gihi?Uit @*tL 4}|
LUUh _i |L 4Thit ? |i _gihi?| *i@}it @?} _gihi?| t|)*it Ei} _gihi?| t|h!i
e
3L?it Ai |i@4 _44it @hi ?U*_i_ |L hiiU| ML| T)tU@* igiU|t Ei M@tiM@** T@h!t
@i _gihi?| U@h@U|iht|Ut 4@!?} tL4i i@tih |L | ? |@? L|iht @?_ ThL ) uLh |i
igiU| |i L|ih T*@)iht L? @ |i@4 @i L? @? ?__@*<t ||?} TihuLh4@?Ui Ei} Mi?} @
}LL_ ||ih L? @ i@! |i@4 ** 4i@? |@| LTTLt?} T|Uiht U@? T|U @hL?_ )L @?_
?L| Lgih )L @?) }LL_ T|Uit |L |c !?L?} |@| i@!ih ||iht ** uL**L )L ? |i
M@||?} Lh_ih
?L|ih TLttM*) hi*i@?| tti t |i |hi@|4i?| Lu L|t Aihi @hi tiih@* @)t @ T*@)ih
U@? }i| L| Ei} t|h!iL|tc }hL?_ L|tc ) L|t 5|h!iL|t @hi |)TU@**) UL?t_ihi_ |i
Lht| @) Lu }i||?} L| ? |@| h??iht U@??L| @_@?Ui L? @ t|h!iL| i UiT|L? ? ih)
?t@* t|@|L?t E@*|L} | t|h!iL|tc |i U@?Uit Lu @ _LM*i T*@) @hi t4@**c ?
UL?|h@t| |L }hL?_ L|t Lh ii? ) L|t Ai _@|@ ti| ti_ ? |t T@Tih @t _@|@ L?
t|h!iL|tc M| ?L| L? L|ih @)t Lu }i||?} L| W? @? i@h*) ihtL? Lu |t T@Tihc i
?U*_i_ t|h!iL|t Tih @| M@| @t @? ?_ith@M*i L|T| ? Lh 4L_i* Etii 6ih?@?_i3c kLLT
@?_ 5|ii*c 2ff@cMc uLh _tUttL?t Lu 4*|T*i L|T| 4L_i**?} | ?_ith@M*i L|T|t
+it*|t uLh |t 4L_i* i Uitti*) Ti?@*3i_ T*@)iht | 4@?) t|h!iL|t @?_ __ ?L| tii4
hi@tL?@M*i Ei} @h! UBhi @t h@?!i_ @t @ ih) @ih@}i T*@)ih _i |L t } ?4Mih
Lu t|h!iL|t ih@Ttc u _@|@ ihi @@*@M*ic ?U*_?} t|h!iL|tc }hL?_ L|t @?_ ) L|t
@t |hii tiT@h@|i ?_ith@M*i L|T|t L*_ Mi ti?tM*i | ? |i @Mti?Ui Lu UL4T*i|i
_@|@ L? |itic i _iU_i_ |L L4| t|h!iL|t @*|L}i|ih
Ai L_i*
AL **t|h@|i |i M@tU _i@t ?_ih*)?} Lh 4L_i*c UL?t_ih |i U@ti ihi M@tiM@** T*@)iht
ThL_Ui |L L|T|tc TLih @?_ M@||?} @ih@}i Ai L|T|t Lu t )TL|i|U@* M@tiM@**
T*@)iht @hi T*L||i_ ? 6}hi @?_ 4@h!i_ @t EccES Wu i *LL! ht| @| |iti TL?|tc |
U@? Mi tii? |@| |ihi @TTi@ht |L Mi @ |h@_iLg Mi|ii? TLih @?_ @ih@}i *@)iht Ec
E2 @?_ E @i hi*@|i*) *L @*it uLh TLih M| @?} hi*@|i*) } M@||?} @ih@}it
D
*@)iht Eec ED @?_ ES @hi TLih ||iht `@| Lh t|@|t|U@* 4i|L_t _L t |L it|4@|i
@ Uhi Lu |i Mit| TLih%@ih@}i UL4M?@|L?t |@| @hi LMtihi_ ? |i _@|@ At Uhi
t T*L||i_ L? 6}hi @?_ U@? Mi tii? |L Mi i@*) ?i?Ui_ M) T*@)iht Ec E2c ED @?_
ES
#hiU| UL4T@htL?t Luc t@)c T*@)ih E |L T*@)ih ES L*_ Mi UL?t_ihi_ M) 4@?) |L
Mi hi*@|i*) 4i@??}*itt u|ih @**c |ihi t ?L L?i Mi||ih |@? i|ih Lu |iti T*@)iht @|
_L?} @| |i) tTiU@*3i ? OLiihc T*@)ih Ee t @ TLih ||ih @?_ U@? Mi 4i@??}u**)
UL4T@hi_ |L TLih ||iht ED Lh ES 54*@h*) T*@)ih E U@? Mi 4i@??}u**) UL4T@hi_ |L
T*@)iht E Lh E2 h t|@|t|U@* 4i|L_t ti |i h@|L Lu _t|@?Uit Ee* @t @ 4i@thi
Lu |i TihuLh4@?Ui Lu T*@)ih Ee @?_ E* @t @ 4i@thi Lu |i TihuLh4@?Ui Lu T*@)ih
E L|i |@| T*@)iht @hi @*@)t Mi?} 4i@thi_ hi*@|i |L @ Uhi *@h}i*) _i?i_ M)
|i Mit| UL4T@h@M*i T*@)iht Ei} TLih ||iht @hi UL4T@hi_ |L TLih ||iht _LT|?}
|ih4?L*L}) uhL4 |i iUL?L4Ut *|ih@|hi i U@** |iti 4i@thit Lu T*@)ih TihuLh4@?Ui
iUi?Uitc @*|L} 4Lhi @UUh@|i*) EM| @!@h_*) |i) UL*_ Mi U@**i_ TihuLh4@?Ui
@t @ ThLTLh|L? Lu |i UL4T@h@M*i Mit| T*@)iht<
6}hi t @ )TL|i|U@* **t|h@|L? ihi ||iht @hi i|ih TLih Lh @ih@}i ||iht
u ULhtic ? hi@*|) |ihi ** Mi @ UL?|?4 Lu ||iht @?_ 4@?) 4Lhi L|T|t iih|i
*ittc |i t@4i ?||L? L*_t Ai TihuLh4@?Ui Lu |i Mit| T*@)iht uLh @ }i? UL4M?@|L?
Lu L|T|t _i?it |i ThL_U|L? TLttM*|) Uhi @| |t UL4M?@|L? Lu L|T|t |ih
T*@)iht @hi UL4T@hi_ |L Uhit *@h}i*) _i?i_ M) T*@)iht | @ t4*@h 4 Lu L|T|t
888W?tih| 6}hi ihi888
? @*|ih?@|i @) Lu ?||i*) 4L|@|?} Lh @TThL@U t ? |ih4t Lu u?U|L?t hi
*@|?} @ &iU|Lh Lu i T*@?@|Lh) @h@M*itc %c |L @ RiU|Lh Lu L|T|tc +G
wE+ ' E%
S
E
Ai TLt|i u?U|L? wE+ tL*_ Mi ?|ihThi|i_ ? |i t@4i 4@??ih @t |i Uhi ? 6}hi
A@| tc | 4@Tt L| |i L|T| UL4M?@|L?t @Uii_ M) |i Mit| T*@)iht EuLh @ }i?
@*i uLh E% Ai u?U|L? E% ULhhiU|t uLh _gihi?| T*@)ih U@h@U|iht|Ut W| U@? Mi
?|ihThi|i_ @t |i 4@ 44 @4L?| Lu L|T| U U@? Mi ThL_Ui_ M) @ T*@)ih |
U@h@U|iht|Ut }i? M) % ihi L|T| t 4i@thi_ M) |i L|T| @}}hi}@|Lh wE+
5?Ui wE+ tc M) _i?|L?c |i ti| Lu L|T| UL4M?@|L?t @Uii_ M) |i Mit| T*@)iht
| U@h@U|iht|Ut %c @ |)TU@* T*@)ih ** ThL_Ui *itt |@? |i @*i 4T*i_ M) wE+
UULh_?}*)c u i @__ @ tMtUhT| |L ?_U@|i @ T@h|U*@h T*@)ihc @?_ *i| Mi @ 4i@thi
Lu |t tLh|u@** | f i U@? h|iG
wE+ ' E% E2
Lh
'
wE+ E% E
t |i 4i@thi Lu T*@)ih <t iUi?U) ti_ ? |t T@Tih t i4T@t3i_ ThiLt*)c | U@?
Mi ?|ihThi|i_ ? |ih4t Lu _t|@?Uit L? }h@Tt *!i 6}hi Lh @t @ 4i@thi Lu TihuLh4@?Ui
hi*@|i |L |i Mit| T*@)iht | @ t4*@h L|T| 4 Ei T*@)ih t ThL_U?} I Lu |i
L|T| Lu |i Mit| T*@)iht | t4*@h U@h@U|iht|Ut @?_ @ t4*@h L|T| 4 Ai ThiLt T@h@}h@Tt @i t!i|Ui_ L| |i M@tU _i@t Lu Lh @TThL@U ? @? ?
||i 4@??ih W? |i hi4@?_ih Lu |t tiU|L?c i uLh4@*3i |iti _i@t M) @tt4?}
tTiUU uLh4t uLh wE @?_ Ec i T*U|*) ?ULhTLh@|?} |i *L?}|_?@* ?@|hi Lu |i _@|@c
@__?} 4i@thi4i?| ihhLh @?_ 4@!?} @__|L?@* @tt4T|L?t ?iUitt@h) |L @Uii @ @*_
t@4T*?} 4L_i*
Ai 4L_i* ti_ i |i?_t |@| _ii*LTi_ ? 6ih?@?_i3c kLLT @?_ 5|ii* E2fff wi| +Ec|c Mi |i @4L?| Lu |i | L|T| ThL_Ui_ M)c @?_ %Ec|c, |i ,| i T*@?@|Lh) @h@M*i Luc
T*@)ih @| |4i | ihi ' c c @?_ | ' c c A L|i |@| i @i @? ?M@*@?Ui_
.
T@?i* ihic uLh tL4i T*@)ihtc _@|@ t 4tt?} uLh tL4i @*it Lu | W? Lh_ih |L 4L_i* |i
ThL_U|L? TLttM*|) Uhic i _i?i @? L|T| @}}hi}@|Lh }i? M)G
3
[
'C k
wEc|
^
'
4
D
*^
R
+Ec|c ^
c
Ee
U _iTi?_t L? T@h@4i|iht k 5 Efc uLh @** ' c c Rc |
S
R
'
k ' @?_
k ' Ek c c kR At t U*Lti*) hi*@|i_ |L |i UL44L?*)ti_ UL?t|@?| i*@t|U|) Lu tU@*i
u?U|L? t _itUhMi_ ? 4@?) T*@Uit Ei} 6ih?@?_i3c kLLT @?_ 5|ii*c 2fff |t t @
i M*i uLh4 uLh |i L|T| @}}hi}@|Lh U @**Lt uLh @ _i @hi|) Lu t@Tit Ai
T@h@4i|ihc ^c hi*@|it |L |i |h@_iLg Mi|ii? |i L|T|t @?_ @*it Lu ^ : 4T*) @
?i}@|i |h@_iLg Ei ?Uhi@t?} L?i L|T| 4T*it hi_U?} @| *i@t| L?i Lu |i L|ih
L|T|t ì i TiU| |L ?_ ^ : c M| _L ?L| 4TLti |t ? |i ThLh Ai k T@h@4i|iht
i?thi ?@h@?Ui |L |i tU@*?} Lu |i | L|T| Ei} 4i@th?} + ? |ih4t Lu t?}*it Tih
ff @| M@|t ?t|i@_ Lu t?}*it Tih @| M@| ** L?*) @*|ih k @?_ ?L| @giU| |i 4i@thi4i?| Lu
iUi?U) ì U@? ?|ihThi| wEc| @t @? @}}hi}@|i L|T|c U UL**@Ttit |i R_4i?tL?@*
L|T| iU|Lh ?|L L?i _4i?tL?
#i??} |i A iU|Lh UL?|@??} |i *L}t Lu |i @}}hi}@|i L|T|t @tG
*L} w ' E*L} wEc c *L} wEc2 c c *L} wEcAQ c c *L} wE?) c
ihi A '
S
ED
' A
c i 4L_i* *L} w @t _iTi?_?} L? @? A & 4@|h Lu i T*@?@|Lh)
@h@M*itc
5
9
f '9
97
%E??
%E??2
%E?2?
%E?) ? %E?) ?2
%E??
%E?) ?
6
::
:8
@?_ @? iU|Lh Lu ?__@* igiU|tc 5 ' E5 c 52 c c 5 c @?_ @__ L? @ |ih4 |L hiiU|
4i@thi4i?| ihhLhG
*L} w ' fq (5 n 0
H
ES
Ai EA 4@|h ( t ti*iU|i_ |L 4@|U |i ?__@* igiU| | |i @TThLTh@|i
?__@* A@| tc
5
)Q f
99 f )
('9
7 f
f
f
f
f
)
6
::
:8
ihi % t @? 7_4i?tL?@* iU|Lh Lu L?it
5L4i 4L|@|L? uLh |i tTiUU@|L? ? ES t U@**i_ uLh ?i @) Lu ?|ihThi|?} | t
@t @ t|@?_@h_ T@?i* _@|@ t|LU@t|U uhL?|ih 4L_i* Etiic i}c 5U4_| @?_ 5U!*itc bHe ?
|ih4t Lu |i @}}hi}@|i L|T|c w __?} |i |ih4 5
t UhU@* |L Lh @?@*)tt @t | U@?
Mi ?|ihThi|i_ @t @ 4i@thi Lu |i @M*|) Lu T*@)ih ? ThL_U?} |i @}}hi}@|i L|T|
Ai @tt4T|L? |@| @ T*@)ih<t @M*|) t hL}*) UL?t|@?| Lih |i tLh| |4i tT@? Lu |i
_@|@ 4T*it |@| 5
t UL?t|@?| Lih |4i Bi? |@| i @hi ?|ihit|i_ ? 4i@th?} T*@)ih
TihuLh4@?Ui hi*@|i |L @ Mi?U4@h! it|@M*ti_ M) |i Mit| T*@)ihtc 5
4t| @i @ L?i
t_i_ _t|hM|L? |L i?thi 5
: f A@| tc wE+ ' E% _i?it |i uhL?|ih it|@M*ti_
M) |i Mit| T*@)iht @?_c i?Uic @** T*@)iht *i L? Lh |? |t uhL?|ih @?_ |t 5
: f
Eu i }?Lhi 4i@thi4i?| ihhLh Bi? |i *L} tTiUU@|L? ? ESc | uL**Lt |@| T*@)ih
iUi?U) Etii i^@|L? Lh 6}hi t }i? M)G
' i T E5
E.
ihi f 6ih?@?_i3c kLLT @?_ 5|ii* E2fff ThL_it @__|L?@* }h@TU@* 4L|
@|L? uLh |i L|T| @}}hi}@|Lh }i? ? i^@|L? Ee @?_ |i @) ? U @? i^@|L?
@?@*L}Lt |L ES ThL_it @ ti?tM*i iUi?U) 4i@thi
W? Lh_ih |L !iiT |i ?4Mih Lu T@h@4i|iht hi@tL?@M*) t4@** hi*@|i |L |i ?4Mih Lu
LMtih@|L?tc | t t|@?_@h_ |L 4@!i @ _t|hM|L?@* @tt4T|L? uLh 5 5U @? @tt4T|L?
U@? i|ih Mi |hi@|i_ @t @ ih@hUU@* ThLh Lh @t T@h| Lu |i *!i*LL_ u?U|L? ì
b
@tt4iG
RE5mbf c b 2
\ sC E5mc b c b '
f

EH
ihi sC E5 m@c K _i?L|it |i T_u Lu @ B@44@ _t|hM|L? | 4i@? @*K @?_ @h@?Ui
@*K2 `i ?L|i |@| ThiLt Lh! | t|LU@t|U uhL?|ih 4L_i*t |)TU@**) tit 4Lhi
hit|hU|i _t|hM|L?t tU @t |i i TL?i?|@* Lh |i @*u Lh4@* OLiihc i t|u)
|i ti Lu |i B@44@ L? |i }hL?_t |@|c | |i *@h}i @4L?| Lu _@|@ i @ic | t
@TThLTh@|i |L @i @ 4Lhi i M*i uLh4 |L *i| |i _@|@ _i|ih4?i |i uLh4 Lu |i iUi?U)
_t|hM|L? 6h|ih4Lhic t|L}h@4t Lu |i _@|@ ?_U@|i |@| |i B@44@ t ThLM@M*)
4Lhi t|@M*i |@? |i i TL?i?|@* Lh @*uLh4@* 6Lh ?t|@?Uic t|L}h@4t Lu *?E+Ec|c tL*_ }i t @ hL} _i@ Lu |i t@Ti Lu |i _t|hM|L? Lu 5 Aiti |)TU@**) @i @?
?|ihLh 4L_i @?_ @hi t!ii_ |L |i h}| 5U ThLTih|it U@? i@t*) Mi @UUL44L_@|i_
t?} |i B@44@ _t|hM|L?c M| ?L| |i i TL?i?|@*c @*u Lh4@* Lh ii? |i 4Lhi
}i?ih@* |h?U@|i_ Lh4@*
Ai Lh4@**) _t|hM|i_ ihhLh |ih4c 0c hiiU|t |i t@* 4i@thi4i?| ihhLh @?_ 4L_i*
4TihuiU|L?t Wu i *i| s- E0m@c _i?L|i |i -@h@|i Lh4@* T_u | 4i@? @ @?_
UL@h@?Ui 4@|h c i @tt4iG
RE0mP ' sA 0mfc ! UA c
Eb
ihi t |i ihhLh ThiUtL? @?_ UA t |i _i?||) 4@|h W| t 4TLh|@?| |L t|hitt |@| i^@|L? ESc T*t |i @tt4T|L?t ? EH @?_ Ebc @hi
?L| i?L} |L u**) _itUhMi |i *!i*LL_ u?U|L? 6Lh i@U T*@)ih ? i@U )i@hc i @i
_@|@ L? R L|T|t t?}*i i^@|L? tU @t ES t ?L| @_i^@|i |L _i?i @ *!i*LL_
u?U|L? uLh R : i?_L}i?Lt @h@M*it Wu k @?_ ^ ihi !?L?c |i? ES L*_ ThL_i
@ @*_ *!i*LL_ u?U|L? uLh *L}Ew M| ?L| |i ?__@* L|T|t U }L ?|L |t
@}}hi}@|i L|T| W? Lh_ih |L UL4T*i|i tTiUU@|L? Lu @ *!i*LL_ u?U|L?c i ?ii_ |L
t@) tL4i|?} @ML| |i ?__@* L|T|t t ? 6ih?@?_i3c kLLT @?_ 5|ii* E2fffc i
f
_L tL M) _i??} |i i}|i_ L|T| t@hitG
#Ec|c '
S
k^ +E^c|c R
,'
k,^ +E^c|c,
c ' c c Rc
Ef
U U@? Mi ?|ihThi|i_ @t |i UL?|hM|L? Lu @? ?__@* L|T| |L |i @}}hi}@|i
5?Ui
S
R
'
#Ec|c ' c Ef ThL_it |i i |h@ ER _4i?tL?t ?iUitt@h) |L ThL_i @
@*_ ThLM@M*|) _i?t|) uLh |i R L|T|t 5?Ui f #Ec|c | t *L}U@* |L }hLT |iti
t@hit @t #Ec| ' E#Ec|c c c #Ec|cR c @?_ @tt4i ?_iTi?_i?| t@4T*?} uhL4
RE#Ec| mr ' s(R3 E#Ec| mrc
E
ihi r ' Er c c rR @?_ s(R3 Emr t |i T_u Lu @ #hU*i| _t|hM|L? | T@h@4i|ih
iU|Lh r ,^@|L?t Ef @?_ E @hi ?L| L?*) @__i_ t4T*) |L UL4T*i|i |i *!i*LL_
u?U|L? t i t@** tii Mi*Lc # @t @ t4T*i ?||i ?|ihThi|@|L? hi*@|?} |L |ihi
Mi?} _gihi?| |)Tit Lu ||iht Ei} |Lti L | uLh TLihc uLh @ih@}ic i|U
#i?i t |L Mi |i A R 4@|h UL?|@??} _@|@ L? @** L|T|t uLh @** T*@)iht ? @**
)i@htc | i*i4i?|t Lh_ihi_ ? |i t@4i 4@??ih @t *L} w ? ED ,^@|L?t ESc Ebc Ef
@?_ E 4T*) |i uL**L?} *!i*LL_ u?U|L? uLh t G
REt mqc 5c c kc ^c r ' s A *L} wmfq (5c 3 U A
\ 57 s 3 E#
R
(
c|
Ec|
3\
mr C ^ 3
R

'
Q
4
#Ec|c +Ec|c 46
D8 E2
W? |i Thiti?| T@Tihc i @_LT| @ @)it@? @TThL@U UULh_?}*)c i ?|ihThi| EH @t
@ ih@hUU@* ThLh W? @__|L?c i hi^hi ThLht uLh |i T@h@4i|iht Eqc bf c b c c kc ^c r
#i|@*t L? |i ThLht @hi }i? ? TTi?_ 5Ui | |L ?L|i ihi |@| i ULLti
hi*@|i*) ?L??uLh4@|i ThLht U @**L |i _@|@ ?uLh4@|L? |L Mi Thi_L4?@?|
W? Lh_ih |L U@hh) L| TLt|ihLh ?uihi?Uic i _ii*LT @ @h!L @? L?|i @h*L
E @*}Lh|4 U ?L*it ti^i?|@**) _h@?} uhL4 REqmtc 5cbf c b c c kc ^c rc

REmtc 5cqc bf c b c kc ^c rc REkmtc 5cqc bf c b c c ^c rc RE^mtc 5cqc bf c b c c kc rc RErmtc 5cqc bf c b c c kc ^c
REbf mtc 5cqc b c c kc ^c rc REb mtc 5cqc bf c c kc ^c r @?_ RE5mtcqc bf c b c c kc ^c r #i|@*t L?
|i ThiUti uLh4t Lu |iti UL?_|L?@* TLt|ihLhtc 4i|L_t uLh _h@?} uhL4 |i4 @?_ @
_tUttL? Lu UL?ih}i?Ui @hi }i? ? TTi?_ 5Ui | |L ?L|i ihi |@|
i UL4M?i @hLt |iU?^it uhL4 6ih?@?_i3c kLLT @?_ 5|ii* E2fffc kLLTc 5|ii* @?_
ti@*t! EbbD @?_ AtL?@t E2fff
e
,4ThU@* +it*|t
e
Lt|ihLh W?uihi?Ui L? |i @h@4i|iht Lu |i L_i*
A@M*i UL?|@?t TLt|ihLh 4i_@?t @?_ |i TTih @?_ *Lih ML?_t Lu @ bDI }it| TLt
|ihLh _i?t|) ?|ih@* EO#W uLh 4Lt| Lu |i T@h@4i|iht 5?Ui |i T@h@4i|iht |i4ti*it
@hi Lu *||*i ?|ihit|c i _L ?L| _tUtt |t |@M*i ? @?) _i|@* Ai TLt|ihLh uLh ^ ?_U@|it
L?*) @ t*}| _iT@h|hi uhL4 |i *?i@h |h@_iLg U@ti ihi ^ ' Ei |i U@ti ihi |i
ThL_U|L? TLttM*|) Uhi ? @ }hi @?@*L}Lt |L 6}hi t @ t|h@}| *?i Ai k t
?_U@|i |@| 4Lhi i}| t T| L? t?}*itc _LM*it @?_ |hT*it |@? L4i h?t Lh @*!t
L? @ Tih @| M@| M@tt L|i |@| |i hi*@|i*) *L i}| L?c t@)c L4i h?tc _Lit ?L|
?iUitt@h*) Ti?@*3i L4i h? ||iht ? |ih4t Lu |ih iUi?U) 6Lh ?t|@?Uic ? 6}hi c
T*@)iht ED @?_ ES @hi ih) iUi?| _itT|i @i hi*@|i*) *L M@||?} @ih@}it
Ai TLt|ihLh uLh bf ThL_it t|hL?} i_i?Ui uLh |i 4TLh|@?Ui Lu Lh ti Lu |i
B@44@ _t|hM|L? Etii i^@|L? H uLh |i _t|hM|L? Lu |i 5 t A@| tc U*i@h _iT@h|hit
uhL4 |i UL44L?*)ti_ i TL?i?|@* _t|hM|L? @hi uL?_ `i ** _tUtt ttit hi*@|?}
|L |i T@h@4i|iht ? r ? @ tMtiU|L? ?L*?} |i #Ec|c t Mi*L
A@M*i G Lt|ihLh i_@?t @?_ bDI O#Wt uLh @h@4i|iht
2
^
kQ
k2
k
ke
bf
b
r
r2
r
re
6Lh
i_@?
2SS
f2.S
fe
fH
ff
SD
DHb
HD2
2fe2
HDD
ef
Hf
hi@tL?t Lu
wLih bDI NTTih bDI
fS
De
f2e
fS
fe2
feDH
fH
f22H
ffbS
f2f
eef
2HD
e2
beD.
2Dee
D2
SeS
2Hffb
SfH
2bb
f2
Hb
2SSH
D2HS
Mhi|)c i _L ?L| Thiti?| TLt|ihLh hit*|t uLh i@U Lu |i D i*i4i?|t
Lu q ?*) S Lu |iti @hi t}?U@?|*) _gihi?| uhL4 3ihL E? |i ti?ti |@| |i bDI O#W
_Lit ?L| ?U*_i 3ihL OLiihc @ uh|ih e i*i4i?|t @hi TLttM*) 4TLh|@?| ? |@| |i)
@i .fI O#Wt U i U*_i 3ihL 6h|ih4Lhic i |i?ti i Tih4i?|@|L? t}}it|t |@|
TLt|ihLh ?uihi?Ui L? |i iUi?Uit t ?L| }hi@|*) @giU|i_ M) |i ?U*tL? Lh i U*tL? Lu
|i i T*@?@|Lh) @h@M*it U @TTi@h ?t}?U@?| UULh_?}*)c |i hit*|t Thiti?|i_ ?
|t tiU|L? t4T*) ?U*_i @** Lu |i i T*@?@|Lh) @h@M*it Ai L?*) t|hL?}*) ?i}@|i*)
t}?U@?| @h@M*it t |i ?|ihUiT|c *i |i bb. @?_ bbH )i@h _44it @?_ |i@4
_44) uLh #i|hL| @i .fI O#Wt U @hi i?|hi*) ?i}@|i Oi?Uic i @i tL4i
t*}| i_i?Ui |@| bb. @?_ bbH ihi T|Uiht< )i@ht Ai t|hL?}*) TLt|i*) t}?U@?|
@h@M*it @** hiiU| |i@4t 5?Ui @*|4Lhi t |i L4||i_ |i@4 _44)c |iti i T*@?@|Lh)
@h@M*it ?_U@|i Lt|L?c *ii*@?_c i vLh! v@?!iitc L*Lh@_L @?_ OLt|L? i|ih T*@)
? ||iht< T@h!t Lh @i ||iht< |i@4t hi*@|i |L @*|4Lhi Ei|ih Lu U L*_ Mi @?
@_@?|@}i uLh T*@)iht L? |iti |i@4t At *t| ?U*_it tL4i ?L|LhLt ||iht< T@h!t @?_c
?thTht?}*)c |i L*Lh@_L _44) @t |i }it| TL?| it|4@|i @?) Lu |i L|ih
|i@4 _44it @i .fI O#Wt U @hi i?|hi*) TLt|i Ai *i@}i _44) t ?L|
t}?U@?|c M| u @** |i |i@4 _44it @hi L4||i_ | MiUL4it t}?U@?|

W? |i ThiUi_?} tiU|L?tc i @i @h}i_ |@| Lh 4L_i* t @ i M*i @?_ hi@tL?@M*i
L?i OLiihc tL4i hi@_iht 4@) Mi ?|ihit|i_ ? uLh4@* 4i@thit Lu 4L_i* | ,i? uLh
|i t?}*i L|T| U@tic |ihi t ?L UL44L?*) hiUL}?3i_ 4i@thi Lu | ti_ | |t U*@tt
Lu 4L_i*t A@| tc |i |L|@* ihhLh Lh _i@|L? uhL4 |i uhL?|ih ? |t 4L_i* t }i? M)G
Ec| ' 0Ec| 5
U _Lit ?L| @i 4i@? 3ihL @?_c i?Uic @ 4i@thi tU @t -2 L*_ Mi @h_ |L ?|ihThi|
W?t|i@_ i 4i@thi |i hi*@|i UL?|hM|L?t Lu |i |L UL4TL?i?|t |L |i |L|@* t^@hi_
ihhLh W? T@h|U*@hc ?L|i |@|
Ebf n b2f . 2Ec| mc bf c b ' ! n
b2
U@? Mi MhL!i? ?|L @ |ih4 hiiU|?} 4i@thi4i?| ihhLh E! @?_ L?i hiiU|?} iUi?U)
Ai i TiU|i_ @*i Lu |i t@hi _i |L 4i@thi4i?| ihhLh t f22 At 4T*it |@| .HI Lu
|i t^@hi_ _i@|L? uhL4 |i uhL?|ih t Mi?} TU!i_ T M) |i E|4i?@h@?| iUi?U)
UL4TL?i?| `i ?|ihThi| |t @t t@)?} |@| |i 4L_i* t ||?} i** ? |@| |i hL*i Lu
4i@thi4i?| ihhLh t ^|i t4@**
e2
`@| _L L?| ,t|4@|it Lu *@)ih ,Ui?Uit Ai** Ntq
5T@Ui UL?t|h@?|t Thii?| t uhL4 Thiti?|?} iUi?U) hit*|t uLh i@U Lu |i DD T*@)iht
UULh_?}*)c 6}hi 2 UL?|@?t @ t|L}h@4 Lu |i TLt|ihLh 4i@? iUi?U) uLh @** T*@)iht
A@M*i 2 Thiti?|t TLt|ihLh 4i@?t @?_ t|@?_@h_ _i@|L?t uLh |i D T*@)iht | |i
}it| TLt|ihLh 4i@? iUi?Uit W? @__|L?c A@M*i Thiti?|t hit*|t uLh T*@)iht |
TLt|ihLh 4i@?t Lu iUi?Uit U @hi @| |i 4?44c ht| ^@h|*ic 4i_@? @?_ |h_
^@h|*i Lu |i iUi?U) _t|hM|L?c hitTiU|i*) W? Lh_ih |L ThL_i @ UL4T@htL? |
L|ih UL44L? 4i@thit Lu M@||?} TihuLh4@?Ui |i |@M*it @*tL ?U*_i M@||?} @ih@}i @?_
?4Mih Lu L4i h?t Tih @| M@|
e
6}hi 2 ?_U@|it @ t!ii_ iUi?U) _t|hM|L? | @? ?|ihLh 4L_ic M| L?i |
hi*@|i*) *L _tTihtL? Ei |i iUi?U) it|4@|it h? uhL4 fSeH |hL} fbH. |
4Lt| Lu |i T*@)iht U*t|ihi_ ? |i ?|ih@* dfHcfo At t ?thTht?} }i? |@| @
M@||ih L |t t@ui*) L?i |4i ? uLh ht!t _i4L|L? |L |i 4?Lh *i@}it ihi@t @
M@||ih L |t t@ui*) L?i |4i ? |hii t U*Lti |L ???} @ M@||?} ||*i
8888W?tih| 6}hi 2 ihi888
Ai hit*|t ? A@M*i 2 @hi ^|i hi@tL?@M*ic | 4@?) Lu |i |LT ?@4it ? M@tiM@**
Mi?} *t|i_ W| t @*tL hi@tth?} |L tii |@| @ @hi|) Lu |)Tit Lu ||iht @hi h@?!i_ }*)
Ai |LT D *t| UL?|@?t ||iht L @hi i** !?L? @t @?} } L?M@ti TihUi?|@}it
Ei} AL?) B)??c `@_i L}}tc U! k?LM*@U @t i** @t TLih ||iht Ei} @hh)
L?_tc 6h@?! AL4@tc B@h) 5ii*_ @t i** @t |Lti L UL4M?i tL4i TLih | @
} M@||?} @ih@}i Ei} ,_}@h @h|?i3c !i @33@c ih?i `**@4t Ai Thiti?Ui Lu
i T*@?@|Lh) @h@M*it 4i@?t |@| |L _i?|U@* T*@)iht L? _gihi?| |i@4t U@? @i _gihi?|
iUi?Uit Ai u@U| |@| w@hh) `@*!ih E| M@||?} @ih@}i Lu fee Lih |i bbDbbb
TihL_ T*@)i_ ? L*Lh@_L @UUL?|t uLh t @Mti?Ui uhL4 |i |LT D *t| E@*|L} |
@? iUi?U) Lu fbS. t t ?L| u@h Lg |i *t| Ai u@U| |@| aLti gih4@?c a@tL?
ki?_@** @?_ `@_i L}}t T*@)i_ @| *i@t| tL4i Lu |ih )i@ht L? hi*@|i*) TLLh ||?}
|i@4t Mi?i||i_ |i4 ? |ih4t Lu iUi?U) TihuLh4@?Ui
?L|@M*i @Mti?Ui uhL4 |t *t| t |i ?@4i Lu @h! UBhi E@ hiULh_ ti||?} L4i
h? ||ih `| @ TLt|ihLh 4i@? iUi?U) Lu fbSfc i t ?L| u@h Lg Lu Lh *t| OLiihc
t i UiT|L?@**) ?i L4i h? TihuLh4@?Ui ? bbH @?_ bbb @t T@h|*) UL?|ihM@*@?Ui_
M) @ i@!ih TihuLh4@?Ui ? i@h*ih )i@ht _i |L ?h) 5@44) 5Lt@<t i@!ih Ehi*@|i |L
bbH @?_ bbb )i@ht ? bbDbb. @?_ *Lih M@||?} @ih@}i 4T*it i t h@?!i_ ii?
*Lih OLiihc |i hi*@|i*) *L h@?!?} Lu |iti |L u@4Lt L4i h? ||iht Mh?}t T
@? ?|ihit|?} TL?| h 4i|L_L*L}) ?L*it UL4T@h?} ?__@* T*@)iht | |i Mit|
ihi |i Mit| U@? Mi it|@M*ti_ ? @?) )i@h `| hi}@h_t |L L4i h?tc |i t|@?_@h_
D
ti| ? bbH @?_ bbb @t tL i UiT|L?@* |@|c hi*@|i |L |c |i bbDbb. UBhit @?_
5Lt@t _L ?L| *LL! |@| iUi?| h @TThL@U 4T*U|*) @ih@}it @ T*@)ih<t TihuLh4@?Ui
Lih bbDbbb @?_c i?Uic UBhi @?_ 5Lt@ @ih@}i i UiT|L?@* tULhit ? bbH @?_ bbb
| *Lih iUi?Uit ? bbDbb. @?_c |tc h@?! *Lih |@? |ih i UiT|L?@* bbH @?_
bbb<t L*_ t}}it|
A@M*i 2G Lt|ihLh +it*|t uLh |i ALT D *@)iht
,Ui?U)
,Ui?U)
@||?}
OL4i +?t
+@?!
@4i
Ei@?
E5| #i
ih@}i
Tih @| M@|

, @h|?i3
fbH.
fff
fe
ffD2
2
Bh@Ui
fbHe
ff2
fH
ff2D
A B)??
fbH2
ff
fD2
ff22
e
B 5ii*_
fbH
ffe
f2bH
ffSe
D
6 AL4@t
fb.b
ffD
fe
ffS
S
a ki?_@**
fb..
ffS
f2
ffH
.
a gih4@?
fb.D
ff.
fff
fff
H
@33@
fb.D
ff.
fH
ffSb
b
+ *L4@h
fb.e
ff.
f2
ff
f
a *ih_
fb.e
ff.
ffe
ffD

L?_t
fb.2
ffb
f2be
ff.S
2
w@h!?
fb.2
ffb
ffD
ffe

` L}}t
fb.
ffb
ff
fff
e
k?LM*@U
fb.
ffb
ff
ff2
D
`**@4t
fb.
ffb
f2e
ffee
Ai T*@)iht ? A@M*i @hi *itt i**!?L? |@? |Lti ? A@M*i 2 Ei} a + **Tt
T*@)i_ L?*) ? bbD @?_ ii? |i? L?*) ? b2 }@4it iih|i*ittc M@ti_ L? @? i @4?@|L?
Lu M@||?} @ih@}i | _Lit tii4 @t |L} Lh 4L_i* t ThL_?} | @ hi@tL?@M*i h@?!?}
Lu iUi?U) Ai u@U| |@| @h*i <hi? EL t !?L? uLh t _iui?ti t!**t t h@?!i_
tL TLLh*) i4T@t3it |i u@U| |@| |i Thiti?| 4L_i* |@!it ?|L @UUL?| L?*) M@||?}
TihuLh4@?Ui
A@M*i G Lt|ihLh +it*|t uLh *@)iht +@?!i_ @| "@h|*it
S
+@?!
@4i
?44
a + **Tt
t| ^@h|*i
<hi?
i_@?
a @|it
Ah_ ^@h|*i
# i_i?L
e
,Ui?U)
Ei@?
fSeH
fHD
fHb
fb2H
,Ui?U)
E5| #i
ffD.
ffeb
ffDS
ffb
@||?}
ih@}i
fbD
f2f
f2S.
f2H
OL4i +?t
Tih @| M@|
ffb
ff
ff2D
fffb
hi L?| ,t|4@|it UUh@|i ,?L} |L i@??}u**) +@?!
*@)ihtq
Ai hit*|t ? |i ThiLt tMtiU|L? @hi @** M@ti_ L? TL?| it|4@|it Lu iUi?Uit ?i
@_@?|@}i Lu |i @)it@? @TThL@U Lih ?L?@)it@? @*|ih?@|it t |@| | t t4T*i |L
_ihi TLt|ihLh t|@?_@h_ _i@|L?t uLh T*@)ihtTiUU iUi?Uit |L tii u h@?!?}t M@ti_
L? TL?| it|4@|it hi@**) @hi t|@|t|U@**) t}?U@?| E6ih?@?_i3c kLLT @?_ 5|ii*c 2fffMc
_tUttit |t tti ? _i|@* ? i @4?@|L? Lu A@M*it 2 @?_ ?_U@|i |@| TLt|ihLh
t|@?_@h_ _i@|L?t U@? Mi u@h*) *@h}ic ?_U@|?} |@| U@|L? 4t| Mi |@!i? ? UL4T@h?}
?__@* T*@)iht 6Lh ?t|@?Uic |i it|4@|i_ iUi?Uit Lu @** Lh |LT D T*@)iht @hi
|? L?i t|@?_@h_ _i@|L? Lu L?i @?L|ih ?@i ?|ihThi|@|L? Lu |t ?_?} t |@|
Lh |LT D h@?!?} t Thi||) 4i@??}*itt OLiihc ULhhi*@|L?t Mi|ii? |i iUi?Uit Lu
_gihi?| T*@)iht 4T*it |@| TLt|ihLh t|@?_@h_ _i@|L?t 4@) ?L| |i** |i u** t|Lh) W?
Lh_ih |L ti_ @__|L?@* *}| L? |t ttic @hLt TLt|ihLh ThLM@M*|it U @__hitt
ît|L?t *!i @| t |i ThLM@M*|) |@| T*@)ih t 4Lhi iUi?| |@? T*@)ih q U@?
Mi U@*U*@|i_ 5U ThLM@M*|it U@? Mi LM|@?i_ M) t4T*) U@*U*@|?} |i ThLTLh|L? Lu
hiT*U@|L?t uLh U T*@)ih t 4Lhi iUi?| |@? T*@)ih u ULhtic |ihi @hi
@ 4)h@_ Lu TLttM*i UL4T@htL?t U UL*_ Mi 4@_i t @ }i?ih@* h*ic i ?_ |@|
| t ?L| i@t) |L _t|?}t Mi|ii? T*@)iht U @hi h@?!i_ ih) U*Lti |L i@U L|ih ?
|ih4t Lu TL?| it|4@|itc M| | t TLttM*i |L _t|?}t Mi|ii? T*@)iht u@h|ih @T@h| ?
|i h@?!?} Ai uL**L?} ti*iU|L? Lu UL4T@htL?t **t|h@|it |iti TL?|t
ht| ?_?} t |@| |ihi t @ ff2 ThLM@M*|) |@| @h! UBhi Eh@?!i_ e|
.
| @? it|4@|i_ iUi?U) Lu fbSf tL*_ Mi L? Lh |LT D *t| Ei ? hL}*) 2I
Lu |i _h@t i u@**t ? |i |LT D ? |ih4t Lu iUi?U) Oi?Uic ii? |L}
UBhi<t iUi?U) it|4@|i t |? L?i t|@?_@h_ _i@|L? Lu |i |Lti Lu |i |LT D
T*@)ihtc i U@? hi*@M*) t@) i t *itt iUi?| |@| |i) @hi t|U@|L? uLh t hi*@|i*)
TLLh TihuLh4@?Ui t }i? ? |i ThiLt tMtiU|L? tiUL?_ ?_?} t |@| |ihi t @
ffHS ThLM@M*|) |@| ,_}@h_ @h|?i3 |h*) t |i 4Lt| iUi?| T*@)ih Ei ? Lih bfI
Lu hiT*U@|L?t L?i Lu |i L|ih T*@)iht t 4Lt| iUi?| A@M*it e @?_ D Lgih
4Lhi t)t|i4@|U UL4T@htL?t A@M*i e |@!it |i T*@)iht h@?!i_ t|c D|c f| @?_ D|
@?_ UL4T@hit |i4 W? T@h|U*@hc |i i*i4i?| ? |i | UL*4? @?_ | hL ? A@M*i e t
|i ThLM@M*|) |@| T*@)ih t 4Lhi iUi?| |@? T*@)ih A@M*i D t Lu |i t@4i uLh4c
M| |@!it |i D ^@h|*i T*@)iht Ei 4?44c ht| ^@h|*ic 4i_@?c |h_ ^@h|*i @?_
4@ 44 iUi?| T*@)iht
A@M*i eG hLM@M*|) |@| *@)ih ? L*4? t Lhi ,Ui?| |@? *@)ih ?
+L
, @h|?i3 6 AL4@t a *ih_ `**@4t
, @h|?i3
6 AL4@t fS.
a *ih_
f.fD
fDeS
`**@4t f.D.
fSff
fDS
A@M*i DG hLM@M*|) |@| *@)ih ? L*4? t Lhi ,Ui?| |@? *@)ih ?
+L
, @h|?i3 # i_i?L a @|it <hi? a + **Tt
, @h|?i3
# i_i?L
fbS2
a @|it
fb.S
f.2e
<hi?
fbb.
fH
fHfH
a + **Tt fff
fbbb
fbb.
fbb
ì ?_ |iti hit*|t |L Mi 4L_ih@|i*) i?ULh@}?} u ULhtic |ihi t @ u@h M| Lu
t|@|t|U@* ?Uih|@?|) @ttLU@|i_ | it|4@|?} |i *@h}i ?4Mih Lu T@h@4i|iht ? |i
4L_i* OLiihc A@M*i D ?_U@|it |@| Lh @TThL@U U@? hi*@M*) t@) |@| T*@)iht h@?!i_
? _gihi?| ^@h|*it uhL4 L?i @?L|ih U@? Mi t@_ |L Mi _gihi?| ? |ih iUi?Uit L|i
H
|@| |i *Lit| }hit ? |t |@M*i @hi @ttLU@|i_ | a @|itc @ T*@)ih | @? ?t@**)
} TLt|ihLh t|@?_@h_ _i@|L? W? A@M*i ec i @hi UL4T@h?} T*@)iht h@?!i_ hL}*)
L?i TihUi?|*i @T@h| @?_ | t ?thTht?} |@| hit*|t @hi ?L| @t t|hL?} iih|i*ittc
|ihi t @ }LL_ U@?Ui |@| Lh |LT D h@?!?}t @hi @| *i@t| hL}*) ti?tM*i
ee
`@| _L L?| ,t|4@|it Lu |i #+l>w>m , t Ai** tq
*@)ihtTiUU iUi?Uit @hi |i uLUt Lu |i Thiti?| t|_) iih|i*ittc | t Lh|*i
|L Mhi) _}hitt |L _tUtt |i #Ec|c t @t |iti @hi @? ??L@|i T@h| Lu |i Thiti?| 4L_i*
+i4i4Mih |@| |i) U@? Mi ?|ihThi|i_ @t Mi?} |i t@hi Lu |i @}}hi}@|i L|T| @|
|hM|i_ |L L|T| uLh T*@)ih ? |4i | Etii i^@|L? f 6}hi U@*U*@|it t|L}h@4t
Lu @** |i #Ec|c t @ti_ L? |i 4L_it Lu |iti t|L}h@4tc i U@? ?uih |@|c uLh @ |)TU@*
T*@)ihc |i L|T| t?}*it hiUiit hL}*) DeI Lu |i i}| ? |i @}}hi}@|i L|T|c _L
M*it @?_ |hT*it hiUii hL}*) 2HIc L4i h?t hL}*) eI @?_ @*!t hL}*) 2I Ai
i}|t hiiU| ML| |i t@Ti Lu |i ThL_U|L? TLttM*|) Uhi Ei k @?_ ^c U @hi
it|4@|i_ uhL4 |i _@|@ @t i** @t |i @U|@* @*i Lu |i L|T| ? i@U U@|i}Lh) Ei
+ c c +e 6}hi **t|h@|it @ hi*@|i*) } @h@M*|) @UhLtt T*@)iht 6Lh ?t|@?Uic |i UL?|h
M|L? Lu t?}*it |L @}}hi}@|i L|T| @hit uhL4 feD |L f.f Ai UL?|hM|L? Lu _LM*it
@?_ |hT*it @hit uhL4 fS |L Lih fSc i|U W? L|ih Lh_tc |ihi @hi 4@?) _gihi?| |)Tit
Lu T*@)iht | ih) _gih?} TihuLh4@?Ui ? |ih4t Lu i@U Lu |i ?__@* L|T|t At
?_U@|it |@| @?) h@?!?} Lu T*@)iht M@ti_ L? @ t?}*i L|T| UL*_ Mi ih) 4t*i@_?}
@?_ i4T@t3it |i @*i Lu ?_?} @ t|@|t|U@**) t|@M*i @) Lu @}}hi}@|?} L|T|t
888W?tih| 6}hi ihi888
Ai t@Ti Lu |i t|L}h@4t ? 6}hi @hic | L?i i UiT|L?c hL}*) ?Lh4@* Ai
i UiT|L? t L4i h?tc U t t!ii_ @?_ @t @ ui ?|ihit|?} M4Tt ? |i h}| |@*
b
Ai M?t uh|it| |L |i h}| @hi uLh @h! UBhi @?_ 5@44) 5Lt@ ? |i )i@ht bbH
@?_ bbb
eD
Ai +i*@|L?tT i|ii? ,Ui?U) @?_ 5@*@hit
Ai Uiu ThTLti Lu |i Thiti?| T@Tih hi*@|it |L |i tti Lu T*@)ih TihuLh4@?Ui Ai
hi*@|i_ tti Lu L U*Lti*) T*@)ih TihuLh4@?Ui hi*@|it |L t@*@h) t @? 4TLh|@?| L?i OL
iihc |ihi @hi tL 4@?) UL4T*U@|L?t Ei} |i u@U| |@| T*@)iht MiUL4i uhii @}i?|t L?*)
@u|ih @ Uih|@? ?4Mih Lu )i@ht U 4T*) |@| 4L_i**?} t@*@hit ? M@tiM@** t @ _
U*| |@t! U L*_ *i@_ t u@h uhL4 |i 4@? uLUt Lu |i T@Tih Etiic i}c 5U**)c b.ec
#iT!i?c 2fffc OL@}*? @?_ Vi**i4@?c bbD W? @__|L?c |i iUi?U) it|4@|it L?*)
?U*_i M@||?} TihuLh4@?Ui @?_c i?Uic @hi @? ?UL4T*i|i 4i@thi Lu @ T*@)ih<t Lh| |L
t |i@4 iih|i*ittc uLh |i hi@_ih ?|ihit|i_ ? tL4i M@tU ?uLh4@|L? L? |i hi*@
|L?tT Mi|ii? t@*@h) @?_ TihuLh4@?Uic i @i UL**iU|i_ _@|@ L? |i t@*@h) E?U*_?}
@?) ML?t Lu e.H Lu Lh DD T*@)iht Ai t@*@h) _@|@ t |@!i? uhL4 5i@? w@4@?<t @ti
M@** hUi EM@tiM@**UL4 M| t L?*) @@*@M*i |hL} bbH @?_ @t tL4i 4tt?}
T*@)iht U @UUL?|t uLh |i u@U| |@| L?*) e.H T*@)iht ihi @@*@M*i 6h|ih4Lhic }i?
uhii @}i?U) @?_ |i |4i | |@!it uLh @ T*@)ih |L _ii*LTc | t T*@tM*i |@| |i 4Lt| hiUi?|
t@*@h) t |i Mit| t}?@* Lu @ T*@)ih<t TihuLh4@?Ui UULh_?}*)c |i t@*@h) _@|@ t uLh |i
4Lt| hiUi?| )i@h @@*@M*i Et@**) bbHc M| LUU@tL?@**) uLh i@h*ih )i@ht uLh T*@)iht L
hi|hi_
Ai 4i@?c 4i_@?c t|@?_@h_ _i@|L?c 4?44 @?_ 4@ 44 Lu |i t@*@hit @hi
mcSDecfSDc m.ffcfffc mcbHcHSc mffcfff @?_ mfcfffcfffc hitTiU|i*) Ai t4T*i ULh
hi*@|L? Mi|ii? t@*@h) @?_ iUi?U) t L?*) f2b 6}hi e UL?|@?t @? jv T*L| Lu t@*@h)
@?_ iUi?U)c @?_ |i hi@tL? uLh |i *L ULhhi*@|L? Mi|ii? t@*@h) @?_ TihuLh4@?Ui t
hi@_*) @TT@hi?| Aihi @hi @ *@h}i ?4Mih Lu ih) iUi?| T*@)iht L @hi T@_ ih)
TLLh*) Lt| Lu |iti @hi )L?} T*@)iht )i| |L |it| |i uhii @}i?| 4@h!i| 6Lh ?t|@?Uic
#ihi! ai|ih @t @? iUi?U) it|4@|i Lu fbS M| ? bbH @t L?*) T@_ m.Dfcfff a@tL?
2f
B@4Mc | iUi?U) Lu fbSc @t L?*) T@_ mDcfff ? bbH
888W?tih| 6}hi e ihi888
D
L?U*tL?
W? |t T@Tih i @i _ii*LTi_ t|@|t|U@* 4i|L_t uLh UL4T@h?} |i TihuLh4@?Ui Lu
?__@* M@tiM@** T*@)iht U i T*U|*) |@!i ?|L @UUL?| |i 4@?) L|T|t T*@)iht
ThL_Ui !i) UL4TL?i?| ? Lh 4i|L_ t @? L|T| @}}hi}@|Lh U t it|4@|i_ M@ti_
L? |i TihuLh4@?Ui Lu |i Mit| T*@)iht ? |i @hLt L|T| _4i?tL?t W?__@* T*@)iht
@hi |i? UL4T@hi_ |L |i Mi?U4@h! ti| M) |i Mit| Ai hit*| t @ ?4Mih Mi|ii? 3ihL
@?_ L?i U @t @ t4T*ic ?||ic ?|ihThi|@|L? Wu @ T*@)ih<t iUi?U) it|4@|i t
f.Dc |i? i U@? t@) i t ThL_U?} .DI Lu |i L|T| Lu |i Mit| UL4T@h@M*i T*@)ihtc
ihi |i L|T| t 4i@thi_ t?} |i L|T| @}}hi}@|Lh 5U @ ?4Mihc i @h}ic @t
@_@?|@}it Lih |h@_|L?@* 4i@thit Lu M@||?} TihuLh4@?Ui ? |@| | t t4T*i |L ?|ihThi|
@?_ _Lit ?L| hi^hi |i ULUi Lu @_ LU i}|t |L Uhi@|i @? @}}hi}@|i L|T| @)it@?
4i|L_t uLh t|@|t|U@* ?uihi?Ui ihi _ii*LTi_ @?_ ti_ |L it|4@|i |i iUi?Uit Lu DD
T*@)iht ? |i )i@ht bbDbbb
Bi? |i }hi@|c @?_ ?Uhi@t?}c 4TLh|@?Ui Lu tTLh| ? Lh iUL?L4U @?_ tLU@* *ui
_ii*LT?} tU |iU?ît t Lu _hiU| ?|ihit| OLiihc |ihi t @*tL @? ?_hiU| ti?ti ?
U _ii*LT?} t|@|t|U@* |iU?ît ? @ tTLh|thi*@|i_ UL?|i | t Lu ?|ihit| W? 4@?)
tLU@* @?_ ML*L}U@* tUi?Uitc U@tit i t| ihi |i hiti@hUih t ?|ihit|i_ ? i@*@|?}
|i TihuLh4@?Ui Lu @? ?__@* @}@?t| @ t|@?_@h_ ti| M) L|iht W? tU U@titc 4L_i*t
t4*@h |L |i L?i ti_ ? |t T@Tih @hi TL|i?|@**) Lu ?|ihit| @?) hiti@hUiht ?_ |
i@tih |L UL?UiT|@*3i t|@|t|U@* 4L_i**?} ttit ? UL4uLh|@M*i thhL?_?}t tU @t |@|
ThL_i_ M) M@tiM@** UULh_?}*)c @ tiUL?_ ThTLti Lu |t T@Tih t |L _tUtt |i ttit
?L*i_ ? 4*|T*i L|T| ThL_U|L? 4L_i**?} ? @| i LTi t @ u@4*@h UL?|i |c ?
Lh_ih |L TLT*@h3i |i4 ? L|ih i*_t
2
S
+iuihi?Uit
*Mh}|c 5 Ebbc 5|@|t|U@* ?@*)tt Lu O||?} 5|hi@!t ? @tiM@** E| _tUttL?
@?_ hiL?_ihc aLh?@* Lu |i 4ihU@? 5|@|t|U@* ttLU@|L?c HHc .DbS
@hh)c # @?_ O@h|}@?c a Ebbc LUi L_i*t uLh hi_U|?} #tL?@* `??iht
? @tiM@**c aLh?@* Lu |i 4ihU@? 5|@|t|U@* ttLU@|L?c HHc .SS..e
ihh)c 5c +iitic 5 @?_ w@h!i)c Ebbbc h_}?} #gihi?| ,h@t ? 5TLh| E|
_tUttL? @?_ hiL?_ihc aLh?@* Lu |i 4ihU@? 5|@|t|U@* ttLU@|L?c bec SSSHS
@? _i? hLiU!c ac kLLTc Bc ti@*t!c a @?_ 5|ii*c 6a Ebbec 5|LU@t|U
6hL?|ih L_i*tG @)it@? ihtTiU|ic aLh?@* Lu ,UL?L4i|hUtc Sc 2.f
@T4@?c k Ebbc Ait|?} |i @|U?} O)TL|ittG Ai @ti Lu @Lh wi@}i
@tiM@**c 4ihU@? ,UL?L4U +iic Hc D2Sf
Mc 5 @?_ Bhii?Mih}c , EbbDc N?_iht|@?_?} |i i|hLTL*tO@t|?}t @*}Lh|4c
Ai 4ihU@? 5|@|t|U@?c ebc 2.D
#iT!i? WWc E2fffc `@}i #tT@h|) @?_ Ai@4 hL_U||)G ,_i?Ui uhL4 @Lh
wi@}i @tiM@**c ,UL?L4Ut wi||ihtc S.c H.b2
6ihh@**c @?_ 54|c Ebbbc 5iî?|@* B@4i L_i* Lu 5TLh|t @4TL?tT
5ihitG AiLh) @?_ ,t|4@|L?c +ii Lu ,UL?L4Ut @?_ 5|@|t|Utc wjjjWc .fe.b
6ih?@?_i3c c kLLTc B @?_ 5|ii*c 6a E2fffc @)it@? ?@*)tt Lu *|T*i
|T| hL_U|L? 6?U|L?tc aLh?@* Lu ,UL?L4i|hUtc bHc e..b
6ih?@?_i3c c kLLTc B @?_ 5|ii*c 6a E2ff@c *|T*i |T| hL_U|L? |
N?_ith@M*i |T|tG ? TT*U@|L? |L |hL}i? 5hT*t ? }hU*|hic 4@?tUhT|
@@*@M*i @| }*@@U!%_iT@h|4i?|t%iUL?L4Ut%
6ih?@?_i3c c kLLTc B @?_ 5|ii*c 6a E2ffMc *|ih?@|i ,Ui?U) i@thit uLh
*|T*i |T| hL_U|L?c 4@?tUhT| @@*@M*i @| }*@@U!%_iT@h|4i?|t%iUL?L4Ut%
6ih?@?_i3c c ti@*t!c ac @?_ 5|ii*c 6a Ebb.c R? |i Nti Lu @?i* #@|@ ?
5|LU@t|U 6hL?|ih L_i*t `| W4ThLTih hLhtc aLh?@* Lu ,UL?L4i|hUtc .bc Sbb
22
Bii!ic a Ebb2c ,@*@|?} |i UUh@U) Lu 5@4T*?}@ti_ TThL@Uit |L |i @*
U*@|L? Lu Lt|ihLh L4i?|tc ? a ih}ihc a ih?@h_Lc #@_ @?_ 6
54| Ei_tc hLUii_?}t Lu |i 6Lh| V@*i?U@ W?|ih?@|L?@* ii|?} L? @)it@? 5|@
|t|Utc Sbbe uLh_G uLh_ N?iht|) hitt
OL@}*?c # @?_ Vi**i4@?c EbbDc h|U@* wLL! @| 5L4i ?@*)tit Lu @Lh
wi@}i @tiM@** 5@*@hitc Ai 4ihU@? 5|@|t|U@?c ebc 2..2He
k@?c w Ebbc 6hii }i?U)c wL?}Aih4 L?|h@U|t @?_ L4Ti?t@|L? ? @Lh
wi@}i @tiM@**G ,t|4@|it uhL4 @?i* #@|@c +ii Lu ,UL?L4Ut @?_ 5|@|t|Utc .Dc
D.Se
k@}c ` EbbDc 6LhiU@t|?} @tiM@** B@4itc @?Uic Hc .
kLLTc Bc ti@*t!c ac @?_ 5|ii*c 6a Ebb.c R@)it@? ,Ui?U) ?@*)tt AhL}
W?__@* ,giU|tG OLtT|@* Lt| 6hL?|ihtc aLh?@* Lu ,UL?L4i|hUtc .Sc ..fD
kLLTc Bc 5|ii*c 6a @?_ ti@*t!c a EbbDc Lt|ihLh ?@*)tt Lu 5|LU@t|U
6hL?|ih L_i*t t?} BMMt 5@4T*?}c L4T|@|L?@* 5|@|t|Utc fc D.
w@U!h|3c a EbbSc AL Lu @tiM@**<t Bhi@| @h!tG @? Ai) ,ih i hL!i?q
@?Uic bc 2H
+i?@h_c 5c wLi**c kc @?_ Atti?c B Ebbbc R,UL?L4i|hU TT*U@|L? Lu
AiU?U@* @?_ ,?hL?4i?|@* ,Ui?U)G ? TT*U@|L? |L #|U #@h) 6@h4tc 4ihU@?
aLh?@* Lu }hU*|h@* ,UL?L4Utc Hc eeSf
5U@**c A @?_ 54|c B E2fffc #L @tiM@** *@)iht +i}hitt AL@h_t |i i@?q
Ai 4ihU@? 5|@|t|U@?c Dec 22D
5U4_|c @?_ 5U!*itc + EbHec hL_U|L? 6hL?|iht @?_ @?i* #@|@c aLh?@* Lu
t?itt @?_ ,UL?L4U 5|@|t|Utc 2c S..e
5U**)c B Eb.ec @) @?_ ihuLh4@?Ui ? @Lh wi@}i @tiM@**c 4ihU@? ,UL
?L4U +iic Sec bDbf
AtL?@tc , E2fffc 6** w!i*LL_ W?uihi?Ui ? Lh4@*B@44@ 5|LU@t|U 6hL?|ih
L_i*tc aLh?@* Lu hL_U||) ?@*)ttc c H2fD
2
`@|?!c EbbHc @) uLh *@)G hi @tiM@** 5@*@hit @ti_ L? ihuLh4@?Uiq aLh
?@* Lu 5|@|t|Ut ,_U@|L?c Sc D
.
TTi?_ G Ai hLh uLh Eqc bfc bc c kc ^c r
ì ti @ ThLh Lu |i uLh4G
REqc bB c bQ c c kc ^c r ' REqREbB REbQ REREkRE^REr
6Lh qc i @tt4iG
REq 2 s EqmKB c MB!Q c
@?_ 4@!i |i ?L??uLh4@|i ULUit Lu KB ' f @?_ MB ' f!A U i | i @tt4i
REbB ' s+ EbB mbBB c bBQ c
| TLt|i ThLh )TihT@h@4i|iht bBB c bBQ ì ULLti |iti tL |@| ,EbB ' @?_ @hEbB '
@?_ i?Ui bBB ' bc bBQ ' W? L|ih Lh_tc i @hi Ui?|ih?} |i ThLh Lih @ B@44@ _t
|hM|L? | @? ?|ihLh 4L_i 6h|ih4Lhic
REbQ ' s+ EbQ mbQB c bQQ c
| TLt|i ThLh )TihT@h@4i|iht bQB c bQQ U i ULLti @t bQB ' @?_ bQQ ' *?E 9 Wu i @_ bB ' Ei |t ThLh 4i@? |i? |iti @*it L*_ 4T*) |@| |i ThLh 4i_@?
iUi?U) t 9 c U t @ ?@|h@* ^@?||) |L i*U| ì ti| 9 ' f.f Ai hi@_ih t
hiuihhi_ |L @? _i? hLiU!c kLLTc ti@*t! @?_ 5|ii* Ebbe uLh @ uh|ih _tUttL? Lu
ThLh i*U|@|L? ? |t U*@tt Lu 4L_i*t @?_ t|U@|L? Lu tU ULUit @t Mi?} hi@tL?@M*ic
M| ?L??uLh4@|i hi*@|i |L |i _@|@
6Lh i |@!iG
2e
RE ' s+ Em?B *2c @B *2c
@?_ ti| ?B *2 ' EU *i@_t |L @? , TL?i?|@* ThLh uLh @?_ @B *2 ' f!5 Aiti
@*it 4T*) *@h}i ThLh ?Uih|@?|)
5?Ui |i UL4TL?i?|t Lu k @hi @** ? |i ?|ih@* Efc @?_ t4 T |L L?ic @? LMLt
ULUi Lu @ ThLh _t|hM|L? t @ #hU*i| | T_u
REk ' s(R!Q Ekm@c
| )TihT@h@4i|ih iU|Lh @ ' E@Q c c @R ì ti |i _gti ULUi Lu @ ' R c U
4@!it |i ThLh N?uLh4 Lih |i ER _4i?tL?@* ?| t4T*i 6Lh ^ i |@!i @? , TL?i?|@* ThLhc
RE^ 2 sC E^mc _
ì @_LT| |i _gti ULUi Lu _ ' f 5 3
ì @tt4i R ?_iTi?_i?| B@44@ _t|hM|L?t uLh |i UL4TL?i?|t Lu rG
REr '
\ REr ' \ s Er mK c S R
Q
R
Q
ì 4@!i @ _gti ULUi Lu K ' @?_ S ' f
3
H
5
C
uLh @** TTi?_ G *}Lh|4
h @*}Lh|4 ?L*it tiî?|@**) _h@?} uhL4 |i TLt|ihLh UL?_|L?@*t
_itUhMi_ ? |i ML_) Lu |i |i | Ai ht| Lu |iti tG
RE5mtcqc bB c bQ c c kc ^c r 2
\5
Q
2D
bB 3 Q Q
s E5 m6 c - UE5
fc
ihi 6 t |i | i*i4i?| Lu |i iU|Lh
6 ' E( (3Q i( Efq *L} Ew 3Q bQ jc
@?_ - t |i | _@}L?@* i*i4i?| Lu |i _@}L?@* 4@|h
- ' 3Q E( (3Q 5?Ui |i i*i4i?|t Lu 5 @hi UL?_|L?@**) ?_iTi?_i?| |i) U@? Mi _h@? tiT@h@|i*) W?
Th@U|Uic i ti @ 4L_i_ ihtL? Lu |i @UUiT|@?Ui @*}Lh|4 Lu kLLTc 5|ii* @?_ ti@*
t! EbbD |L _h@ uhL4 |t ?L?t|@?_@h_ _i?t|) ì ti sC E5 mbf c b |L |@!i U@?__@|i
_h@tc 5S@? c U @hi |i? @hi @UUiT|i_ | ThLM@M*|)G
S
S
i T 2
i T 2
ihi 5
JR|
' 4@
S *L}E 3
E
w |
A
%| q
A
|'
A
|'
*L} wE| %| q n 5
2 *L} wE| %| q n 5 JR|
2 c f @?_ %| ' %Ec|c c %Ec|c2 c c %Ec|c& Ai T_u Lu |i TLt|ihLh UL?_|L?@* _t|hM|L? Lu bf t }i? M)G
REbf mtc 5c qc c kc ^c rc b 2 b
bB
bBB
bf
3
KEbf 3 i T
%#
[
'
$ &
*?E5 bf bf At _t|hM|L? t ?L?t|@?_@h_c M| @ t4T*i @UUiT|@?Ui @*}Lh|4 U@? Mi _ihi_ uL**L
?} AtL?@t E2fff @?__@|i _h@tc bS@?
f c @hi |@!i? uhL4 sC Ebf mc ihi t ULti?
|L 4@ 43i |i @UUiT|@?Ui ThLM@M*|) AL LM|@? |i TTih ML?_ U @TTi@ht ? |i
@UUiT|@?Ui @*}Lh|4 i 4t| ?_ bWf U tL*it |i uL**L?} i^@|L?G

n bff bW3
[EbWf ' f
f
ihi [E t |i _}@44@ u?U|L? Ei [E% @?_ ' *? Eb n
S
'
_ *? KE%
_%
ihi KE t |i B@44@ u?U|L?
*?E5 bf `i tL*i |t i^@|L? uLh bWf t?} @ t4T*i L?i

_4i?tL?@* }h_ ti@hU Ai LT|4@* @*i Lu t |i? W ' bW3
f @?__@|i _h@t uhL4
sC Ebf mc W @hi |i? @UUiT|i_ | ThLM@M*|)
2S
-EbS@?
B -EbWB ihi
*?E-EbB ' E n W bB *? EW *? EKEbB n EbBB *? EbB Ai UL?_|L?@* TLt|ihLh _t|hM|L? Lu b tG
#
REb mtc 5c qc c kc ^c rc bf ' sC b mbf n bf c b n
$
[
'
5 Ai UL?_|L?@* TLt|ihLh _t|hM|L? Lu q tG
REqmtc 5c bf c b c c kc ^c r ' s& EqmKW c MW3 ihi
MW ' Mf n f fc
@?_
KW ' MW3 iMf Kf n f E*L} Ew n (5j
6Lh i LM|@?G
#
REmtc 5c bf c b c qc kc ^c r ' sC
$
?f n A @f n E*L} Ew fq n (5 E*L} Ew fq n (5
m
c
2
2
6Lh k i LM|@? |i uL**L?} ?L?t|@?_@h_ T_uG
REkmtc 5c bf c b c qc c ^c r 2
3
43 S
\ @ nr ^ A 3 \ C[ ^ ^ D
k
k +Ec|c c|

r
i T 2j
E*L} Ew fq n (5 E*L} Ew fq n (5
2
2.
L|i |@| *L} Ew _iTi?_t L? k @ti_ L? |i i Tihi?Ui Lu 6ih?@?_i3c kLLT @?_ 5|ii*
E2fffc 2ff@cMc i ti @ h@?_L4 @*! i|hLTL*tO@t|?}t @*}Lh|4 U tii4t |L
Lh! ih) i** W? T@h|U*@hc i ti @ ER @h@|i Lh4@* U@?__@|i}i?ih@|?} _i?t|)
EThLTLt@*t L|t_i |i tTTLh| Lu k @hi ?iih @UUiT|i_ Ai 4i@? Lu |i Lh4@* t
}i? M) |i ThiLt _h@ @?_ |i @h@?Ui t U@*Mh@|i_ ? Thi*4?@h) h?t tL
|@| |i @UUiT|@?Ui ThLM@M*|) t ? |i hi}L? Lu D DfI M @?_ Bhii?Mih} EbbD
ThL_i @ t4T*i _tUttL? Lu @hLt i|hLTL*tO@t|?}t @*}Lh|4t @?_ _tUtt |i tti
Lu @| hi@tL?@M*i @UUiT|@?Ui h@|it @hi Ai @UUiT|@?Ui ThLM@M*|) t 4ihi*) |i h@|L Lu
REkmtc 5c bB c b c qc c ^c r i@*@|i_ @| |i U@?__@|i _h@ |L |t _i?t|) i@*@|i_ @| |i
*@t| @UUiT|i_ _h@
Ai UL?_|L?@* TLt|ihLh uLh ^ t @*tL ?L?t|@?_@h_ @?_ t }i? M)G
RE^mtc 5c qc bf c b c c kc r 2 ^ A ER! i TE_^ i T iE^j
3
S
R k^ + ^ 4
[
,
, c|c, D
E^ ' E*L} Ew fq n (5 E*L} Ew fq n (5 n
r *L} C
^ ^
ihi
'
2
E
k +Ec|c c|c
W? |t U@tic |LLc i ti @ h@?_L4 @*! i|hLTL*tO@t|?}t @*}Lh|4 | @ Lh4@*
U@?__@|i}i?ih@|?} _i?t|) U@*Mh@|i_ @t @MLi
`i _h@ tiT@h@|i*) i@U Lu |i R UL4TL?i?|t Lu r Ai UL?_|L?@* TLt|ihLh _t|hM
|L? Lu r c ' c c R E@*tL }i? |i hi4@??} UL4TL?i?|t Lu r @t T_u L? Efc 4G
S
REr mtc 5c bf c b c qc c kc ^c ir G 9' j 2
KE , r, A K
r
KEr A 3

5 ;? [ 3 S, k^,+^c|c, 4<@6
D>8 i T 7r =S n
*L} C ^ ^
k + c|c
E
c|
E
W? Lh_ih |L _h@ uhL4 |t _t|hM|L?c @ h@?_L4 @*! i|hLTL*tO@t|?} @*}Lh|4 t
ti_ ? |i t@4i 4@??ih @t uLh ^ Lh k
2H
Ai hit*|t Lu 6ih?@?_i3c ti@*t! @?_ 5|ii* Ebb. @?_ 6ih?@?_i3c kLLT @?_ 5|ii*
E2fff 4T*) |@| |i TLt|ihLh t ThLTih @?_ |i @*}Lh|4 ** UL?ih}i OLiihc
i @i )i| |L ?_ @ ThLLu |@| TLt|ihLh 4i@?t @?_ }ih 4L4i?|t i t| uLh T@h@4i|iht
L|ih |@? |i iUi?Uit E@*|L} ?4ihU@* i_i?Ui t}}it|t |@| }ih 4L4i?|t Lu
@** T@h@4i|iht _L i t| Oi?Uic i UiT| uLh |i iUi?Uitc i Thiti?| TLt|ihLh 4i_@?t
@?_ O#Wt EU _L i t| ?t|i@_ Lu TLt|ihLh 4i@?t @?_ t|@?_@h_ _i@|L?t
h ?@* hit*|t @hi M@ti_ L? 2Sfcfff hiT*U@|L?t Ai ht| fcfff @hi _t
U@h_i_ |L 4|}@|i t|@h|T igiU|t u |i hi4@??} 2Dfcfffc i hi|@? iih) f| hiT*U@
|L? |L Mhi@! tih@* ULhhi*@|L? ? Lh _h@t E@?_ 4?43i t|Lh@}i ULt|t Ai TLt|ihLh
ThLTih|it hiTLh|i_ @hic |tc M@ti_ L? 2Dcfff hiT*U@|L?t
UL?ih}i?Ui t 4L?|Lhi_ ML| uLh4@**) @?_ ?uLh4@**) W?uLh4@**)c tiih@*
i Tih4i?|@* h?t | _tTihti_ t|@h|?} @*it ThL_i_ TLt|ihLh hit*|t U ihi
itti?|@**) _i?|U@* 6Lh4@**)c i ti_ @ _@}?Lt|U t}}it|i_ M) Bii!i Ebb2 U
UL4T@hit |i 4i@?t M@ti_ L? ht| fI @?_ ?@* DfI Lu |i _h@t hi*@|i |L |ih ?4ihU@*
t|@?_@h_ ihhLht Wu |i t@4T*ih @t UL?ih}i_c |t t|@|t|U t t|@?_@h_ Lh4@* `i
U@*U*@|i_ |t _@}?Lt|U uLh |i iUi?Uit Lu |i ht| i T*@)iht @?_ LM|@?i_ t|@|t|Ut
U ihi @** *itt |@? fc ?_U@|?} UL?ih}i?Ui
2b
6}hi G
f

6}hi 2G
2
6}hi G
6}hi eG

Download Report

Comparing the Performance of Baseball Players: A Multiple Output

Paperzz.com

Your Paperzz