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2021
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2555
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
11
,
No
.
3
,
J
u
n
e
2021
:
2
5
5
5
-
2562
2556
s
tatis
t
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s
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h
ad
n
o
p
u
r
p
o
s
e
i
n
g
e
n
er
atin
g
p
r
o
f
i
ts
b
ec
au
s
e
it
o
p
er
ated
in
th
e
ea
r
l
y
d
ay
s
as
a
co
n
ce
p
t
o
f
th
e
ef
f
ec
t
s
o
f
ad
v
er
tis
i
n
g
an
d
s
o
cial
co
n
tr
ib
u
tio
n
.
Ho
w
e
v
er
,
as
t
h
e
s
ize
o
f
t
h
e
p
r
o
f
ess
io
n
al
s
p
o
r
ts
m
ar
k
et
g
r
o
w
s
y
ea
r
b
y
y
ea
r
,
it
s
p
en
d
s
a
s
m
all
a
m
o
u
n
t
e
v
er
y
y
ea
r
,
is
r
ap
id
ly
ex
p
a
n
d
in
g
th
e
s
ize
o
f
th
e
F
A
co
n
tr
ac
t
m
ar
k
et,
an
d
th
e
d
ef
icits
o
f
t
h
e
clu
b
s
ar
e
in
ten
s
i
f
y
in
g
d
ay
b
y
d
a
y
[
1
4
]
.
A
cc
o
r
d
in
g
l
y
,
i
n
r
ec
en
t
y
ea
r
s
,
v
a
r
io
u
s
m
eth
o
d
s
h
av
e
b
ee
n
d
e
v
is
ed
to
i
m
p
r
o
v
e
t
h
e
p
r
o
f
i
t
s
tr
u
ct
u
r
e
an
d
r
ed
u
ce
co
s
ts
to
cr
ea
te
p
r
o
f
its
in
t
h
e
clu
b
s
.
T
h
er
ef
o
r
e,
th
e
d
e
m
an
d
f
o
r
o
b
j
ec
tiv
e
an
a
l
y
s
is
r
es
u
lt
s
th
at
b
o
th
tea
m
s
a
n
d
p
la
y
er
s
ca
n
ac
ce
p
t a
t th
e
s
a
m
e
ti
m
e
is
i
n
cr
ea
s
in
g
[
3
,
1
5
-
1
8
]
.
R
esear
ch
t
h
at
a
n
al
y
ze
s
t
h
e
a
n
n
u
al
s
alar
y
a
n
d
p
er
f
o
r
m
a
n
ce
o
f
p
r
o
f
es
s
io
n
al
b
aseb
all
p
itc
h
er
s
h
a
s
b
ee
n
o
n
g
o
i
n
g
.
A
s
a
n
ex
a
m
p
le
o
f
p
r
ev
io
u
s
s
tu
d
ie
s
,
o
n
e
s
tu
d
y
g
r
a
s
p
ed
th
e
r
elatio
n
s
h
ip
b
et
w
ee
n
an
n
u
al
s
alar
y
a
n
d
g
a
m
e
p
er
f
o
r
m
a
n
ce
b
y
u
s
i
n
g
s
ab
er
m
etr
ic
s
u
s
i
n
g
W
HI
P
,
FIP
,
W
A
R
a
n
d
clas
s
ical
r
ec
o
r
d
s
s
u
ch
a
s
ea
r
n
ed
r
u
n
s
av
er
ag
e
(
E
R
A
)
o
r
w
i
n
n
in
g
g
a
m
es
[
1
9
,
2
0
]
.
A
d
d
itio
n
all
y
,
in
r
elatio
n
to
th
e
ca
lcu
latio
n
o
f
an
n
u
al
s
alar
y
,
t
h
er
e
w
er
e
al
s
o
s
t
u
d
ies
t
h
at
a
n
al
y
ze
d
v
ar
iab
les
t
h
at
s
ig
n
i
f
ica
n
tl
y
co
r
r
elate
d
w
ith
t
h
e
an
n
u
al
s
a
l
ar
y
in
cr
ea
s
e
a
m
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n
g
th
e
d
e
m
o
g
r
ap
h
ic
in
d
icato
r
s
,
t
h
e
j
o
in
in
g
an
d
tr
an
s
f
er
in
f
o
r
m
atio
n
o
f
ath
lete
s
,
an
d
tr
ad
itio
n
al
p
er
f
o
r
m
an
ce
in
d
icato
r
s
an
d
s
ab
er
m
e
tr
ic
in
d
icato
r
s
[
2
1
]
.
T
h
er
e
is
also
a
s
tu
d
y
th
at
a
n
al
y
ze
d
th
e
r
ec
o
r
d
s
th
at
a
p
itch
er
ca
n
co
n
tr
o
l h
i
m
s
el
f
,
w
h
ich
ar
e
th
e
m
ai
n
f
ac
to
r
s
a
f
f
ec
ti
n
g
t
h
e
s
ala
r
y
o
f
Ko
r
ea
n
p
r
o
f
ess
io
n
al
b
ase
b
all
p
itch
er
s
[
1
5
]
.
I
n
Ko
r
ea
's
p
r
o
f
e
s
s
io
n
a
l
b
aseb
all,
h
o
w
e
v
er
,
t
h
er
e
ar
e
m
an
y
ca
s
es
i
n
w
h
ic
h
p
la
y
er
s
r
ec
r
u
it
ed
th
r
o
u
g
h
th
e
F
A
m
ar
k
e
t
h
a
v
e
d
e
m
o
n
s
t
r
ated
g
o
o
d
p
e
r
f
o
r
m
a
n
ce
,
b
u
t
th
er
e
ar
e
also
m
a
n
y
t
h
at
d
o
n
o
t.
T
h
er
ef
o
r
e,
th
e
clu
b
s
h
av
e
m
ad
e
g
r
ea
t
e
f
f
o
r
ts
t
o
p
r
ep
ar
e
a
p
lan
to
s
et
a
s
alar
y
at
a
r
ea
s
o
n
ab
le
le
v
el.
I
n
t
h
is
s
t
u
d
y
,
w
e
tr
ied
to
co
m
p
ar
e
t
h
e
f
i
n
a
n
cial
b
u
r
d
en
in
d
icato
r
s
ag
ai
n
s
t
a
g
e
an
d
t
h
e
f
in
a
n
cial
b
u
r
d
e
n
in
d
icato
r
s
ag
ain
s
t
a
n
n
u
al
F
A
b
ase
co
n
tr
ac
t
a
m
o
u
n
t,
a
v
er
a
g
e
E
R
A
,
a
n
d
w
i
n
co
n
tr
ib
u
ti
o
n
to
s
u
b
s
tit
u
te
p
la
y
er
s
to
p
r
o
p
o
s
e
an
d
r
ep
o
r
t
r
ef
er
en
ce
m
ater
ials
f
o
r
r
ea
s
o
n
ab
le
FA
co
n
tr
ac
t
s
.
2.
RE
S
E
ARCH
M
E
T
H
O
D
2
.
1
.
P
it
cher
’
s
re
co
rds
T
h
e
v
ar
io
u
s
in
d
icato
r
s
u
s
ed
in
th
i
s
s
t
u
d
y
a
m
o
n
g
th
e
r
ec
o
r
d
s
f
o
r
ev
al
u
atin
g
p
itc
h
er
s
ar
e
as
f
o
llo
w
s
,
an
d
th
e
i
n
itia
l
n
o
tatio
n
is
E
R
A
an
d
W
A
R
.
I
n
ad
d
itio
n
,
in
o
r
d
er
to
ex
p
r
ess
th
e
p
er
f
o
r
m
a
n
ce
e
f
f
icien
c
y
co
m
p
ar
ed
to
t
h
e
a
n
n
u
al
s
alar
y
,
th
e
f
i
n
a
n
cial
b
u
r
d
e
n
i
n
d
ex
(
F
B
I
)
u
s
in
g
t
h
e
to
tal
co
n
tr
ac
t a
m
o
u
n
t o
f
F
A
a
n
d
th
e
co
n
tr
ac
t p
er
io
d
W
A
R
w
a
s
ex
p
r
ess
ed
.
T
h
e
v
ar
io
u
s
r
ec
o
r
d
s
u
s
ed
in
th
i
s
s
t
u
d
y
ar
e
as [
2
2
,
2
3
]
.
2
.
1
.
1
.
E
a
rned
runs
a
v
er
a
g
e
(
E
RA)
E
R
A
m
ea
n
s
th
e
r
atio
o
f
ea
r
n
ed
r
u
n
s
(
E
R
)
,
w
h
ic
h
is
th
e
s
co
r
e
th
at
th
e
p
itc
h
er
is
r
e
s
p
o
n
s
ib
le
f
o
r
,
ag
ain
s
t
th
e
s
co
r
es
al
lo
w
ed
b
y
th
e
p
itc
h
er
i
n
9
i
n
n
i
n
g
s
.
E
R
A
w
a
s
t
h
e
m
o
s
t
co
m
m
o
n
l
y
u
s
ed
p
itch
er
e
v
al
u
atio
n
in
d
ex
w
it
h
W
in
n
i
n
g
Ga
m
es,
b
u
t
t
h
er
e
w
as
a
co
n
tr
ad
ictio
n
in
tr
ea
t
in
g
t
h
e
o
v
er
all
tea
m
's
p
er
f
o
r
m
an
ce
as
a
p
itch
er
's o
n
l
y
s
tat
is
tic
s
.
T
h
e
f
o
r
m
u
la
f
o
r
ca
lcu
lati
n
g
th
e
a
v
er
a
g
e
E
R
A
i
s
E
R
A
=
9
(
E
R
)
/I
P
[
2
2
,
2
3
]
.
2
.
1
.
2
.
Wins
a
bo
v
e
re
pla
ce
m
e
nt
(
WAR)
W
A
R
i
s
a
r
ep
r
ese
n
tati
v
e
r
ec
o
r
d
o
f
t
h
e
v
al
u
e
o
f
p
la
y
er
s
in
Sa
b
er
m
etr
ic
s
.
I
f
t
h
e
v
al
u
e
o
f
W
AR
i
s
1
,
i
t
m
ea
n
s
t
h
at
t
h
e
p
la
y
er
ad
d
ed
1
w
i
n
to
t
h
e
tea
m
r
ath
er
th
a
n
a
p
la
y
er
w
h
o
co
u
ld
n
o
t
h
elp
th
e
tea
m
w
i
n
.
Fo
r
ex
a
m
p
le,
i
f
p
la
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h
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s
a
W
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v
al
u
e
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f
3
.
5
,
th
is
m
ea
n
s
th
at
h
e
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d
ed
3
.
5
w
i
n
s
to
th
e
ca
n
d
id
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w
h
o
p
lay
e
d
in
t
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n
o
r
a
p
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at
lev
el
1
.
5
.
T
h
e
f
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r
m
u
la
f
o
r
o
b
tain
i
n
g
th
e
p
itc
h
er
'
s
W
AR
i
s
as:
f
ir
s
t,
th
e
f
o
r
m
u
la
f
o
r
o
b
tain
in
g
th
e
s
tar
ti
n
g
p
itc
h
er
W
A
R
,
a
n
d
th
e
n
th
e
m
et
h
o
d
f
o
r
o
b
tain
in
g
t
h
e
r
elie
f
p
itch
er
W
A
R
[
2
4
,
2
5
]
.
T
h
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in
a
ncia
l burden i
nd
ica
t
o
r
(
F
B
I
)
I
n
th
is
s
tu
d
y
,
t
h
e
a
m
o
u
n
t
o
f
m
o
n
e
y
t
h
at
w
a
s
i
n
v
e
s
ted
to
p
r
o
d
u
ce
W
A
R
1
i
n
o
r
d
er
to
f
i
n
d
o
u
t
t
h
e
ef
f
icien
c
y
o
f
a
p
la
y
er
w
as
c
o
m
p
ar
ed
to
th
e
a
n
n
u
al
s
alar
y
.
T
o
th
is
en
d
,
t
h
e
to
ta
l
co
n
tr
ac
t
a
m
o
u
n
t
(
d
o
wn
p
ay
m
e
n
t
+a
n
n
u
al
s
alar
y
)
w
a
s
ca
lcu
lated
b
y
d
iv
id
i
n
g
i
t
b
y
t
h
e
to
tal
co
n
tr
ac
t
a
m
o
u
n
t.
T
h
e
n
,
b
y
d
iv
id
i
n
g
t
h
e
v
alu
e
b
y
W
AR
ag
a
in
,
a
n
in
d
ic
ato
r
w
as
cr
ea
ted
.
Fo
r
ex
a
m
p
le
,
if
a
p
la
y
er
n
a
m
ed
B
s
ig
n
ed
a
f
o
u
r
-
y
ea
r
co
n
tr
ac
t
o
n
t
h
e
co
n
d
itio
n
o
f
a
d
ep
o
s
it
o
f
1
b
illi
o
n
w
o
n
an
d
a
n
a
n
n
u
al
s
alar
y
o
f
5
0
0
m
illi
o
n
w
o
n
,
th
e
to
tal
a
m
o
u
n
t
o
f
th
e
F
A
co
n
tr
ac
t
is
3
b
illi
o
n
wo
n
.
R
ec
alcu
lat
in
g
th
is
as
t
h
e
av
er
ag
e
an
n
u
al
a
m
o
u
n
t
i
s
7
5
0
m
illi
o
n
w
o
n
(
7
.
5
)
.
Ho
w
e
v
er
,
if
a
p
la
y
er
n
a
m
ed
B
h
as
a
W
AR
o
f
2
.
5
in
a
p
ar
t
icu
la
r
y
ea
r
,
t
h
e
p
la
y
er
'
s
FB
I
is
(
1
0
+4
*
5
)
/4
/2
.
5
,
s
o
3.
0
.
I
n
o
th
er
w
o
r
d
s
,
it
m
ea
n
s
t
h
at
p
la
y
er
B
'
s
tea
m
h
as
in
v
es
t
ed
3
0
0
m
illi
o
n
w
o
n
to
r
ec
o
r
d
p
lay
er
B
's
W
AR
b
y
o
n
e.
B
ased
o
n
th
ese
r
es
u
lts
,
t
h
e
f
o
r
m
u
la
f
o
r
ca
lcu
la
tin
g
t
h
e
e
f
f
icien
c
y
i
n
d
ex
f
o
r
th
e
y
ea
r
was d
ef
in
ed
as
:
F
B
I
=(
Dep
o
s
it+T
o
tal
Salar
y
)
/T
o
tal
C
o
n
tr
ac
t
P
er
io
d
/
W
A
R
o
f
t
h
e
y
ea
r
2
.
3
.
Resea
rc
h li
m
it
a
t
io
ns
T
h
e
li
m
itatio
n
s
o
f
t
h
is
s
t
u
d
y
a
r
e
as:
First,
ag
e
s
tan
d
ar
d
s
an
d
an
n
u
al
s
tan
d
ar
d
s
d
o
n
o
t
n
ec
es
s
ar
il
y
m
a
tch
.
B
aseb
all
p
la
y
er
s
i
n
Ko
r
ea
h
av
e
a
v
ar
iet
y
o
f
s
to
r
ies,
in
c
lu
d
i
n
g
h
i
g
h
s
c
h
o
o
l
g
r
ad
u
atio
n
to
p
r
o
f
ess
io
n
al
e
n
tr
y
,
co
lleg
e
g
r
ad
u
atio
n
t
o
p
r
o
f
ess
io
n
al
e
n
tr
y
,
m
ilit
ar
y
s
er
v
ice,
an
d
m
ili
tar
y
s
er
v
ice
ex
e
m
p
tio
n
f
r
o
m
i
n
ter
n
atio
n
al
co
m
p
etitio
n
s
.
T
h
er
ef
o
r
e,
it
m
a
y
b
e
t
h
e
f
ir
s
t
y
ea
r
o
f
t
h
e
F
A
co
n
tr
ac
t
at
t
h
e
ag
e
o
f
3
0
,
o
r
th
e
f
ir
s
t
y
ea
r
o
f
t
h
e
F
A
co
n
tr
ac
t
at
th
e
ag
e
o
f
3
5
.
T
h
er
ef
o
r
e,
ag
e
s
ta
n
d
ar
d
s
an
d
a
n
n
u
al
s
t
an
d
ar
d
s
w
er
e
an
a
l
y
ze
d
at
th
e
s
a
m
e
ti
m
e
t
o
co
m
p
le
m
e
n
t e
ac
h
o
t
h
er
.
Seco
n
d
,
th
e
r
ec
o
r
d
s
o
f
s
tar
tin
g
p
itch
er
s
an
d
r
elief
p
itc
h
er
s
wer
e
ca
lcu
lated
.
Un
li
k
e
th
e
M
L
B
,
th
e
KB
O
h
as
o
n
l
y
1
0
tea
m
s
.
T
h
er
ef
o
r
e,
th
er
e
ar
e
n
o
t
m
a
n
y
p
la
y
er
s
.
I
f
th
e
s
tar
ti
n
g
p
itch
er
an
d
th
e
r
elief
p
itch
er
ar
e
s
ep
ar
ated
,
it
is
co
n
s
id
er
ed
th
at
th
e
s
tati
s
tical
er
r
o
r
m
a
y
b
e
g
r
ea
ter
d
u
e
to
th
e
s
p
ec
if
ic
p
la
y
er
's
r
ec
o
r
d
an
d
co
n
tr
ac
t a
m
o
u
n
t.
T
h
ir
d
,
in
th
i
s
s
tu
d
y
,
t
h
e
s
tu
d
y
s
u
b
j
ec
ts
w
er
e
r
ec
o
r
d
ed
f
r
o
m
2
0
1
0
to
2
0
1
9
.
T
h
is
w
as
c
o
n
s
id
er
ed
to
b
e
ap
p
r
o
p
r
iate
f
o
r
th
e
s
t
u
d
y
f
r
o
m
2
0
1
0
b
y
co
m
p
ar
in
g
th
e
p
er
io
d
w
h
e
n
t
h
e
F
A
m
ar
k
et
i
s
r
ap
i
d
ly
i
n
cr
ea
s
i
n
g
i
n
a
m
o
u
n
t
a
n
d
p
r
ice
in
Ko
r
ea
.
I
n
th
e
ea
r
l
y
d
a
y
s
o
f
t
h
e
F
A
s
y
s
te
m
,
i
t
w
as
j
u
d
g
ed
t
h
at
t
h
e
c
o
n
tr
ac
t
s
ize
w
a
s
to
o
s
m
all
co
m
p
ar
ed
to
th
e
p
r
esen
t ti
m
e,
w
h
ic
h
co
u
ld
lead
to
s
tatis
t
ical
er
r
o
r
s
.
2
.
4
.
B
ig
da
t
a
a
na
ly
s
is
pro
ce
s
s
As
s
h
o
w
n
i
n
Fig
u
r
e
1
,
th
e
p
r
o
ce
d
u
r
e
f
o
r
an
al
y
zi
n
g
s
p
o
r
ts
d
ata
in
th
is
s
tu
d
y
w
as
co
n
d
u
c
ted
in
f
o
u
r
s
tep
s
:
d
ata
co
llectio
n
d
ata
p
r
e
-
p
r
o
ce
s
s
in
g
r
esu
lt
s
an
al
y
s
i
s
d
ata
v
is
u
aliza
tio
n
Fig
u
r
e
1
.
Mo
d
el
o
f
s
p
o
r
ts
b
ig
d
ata
an
al
y
s
is
Evaluation Warning : The document was created with Spire.PDF for Python.
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I
n
t J
E
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&
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g
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Vo
l.
11
,
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.
3
,
J
u
n
e
2021
:
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5
5
5
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I
n
th
e
d
ata
co
llectio
n
s
tag
e,
p
itch
er
s
'
E
R
A
a
n
d
W
A
R
r
ec
o
r
d
s
w
er
e
co
llected
f
r
o
m
th
e
o
f
f
i
cial
Statiz
w
eb
s
i
te
(
h
ttp
:/
/
www
.
s
ta
tiz.
co
.
k
r
)
,
an
d
p
r
ess
r
elea
s
e
s
w
er
e
co
llected
d
u
r
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g
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h
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co
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tr
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f
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v
ar
io
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n
e
w
s
s
o
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r
ce
s
to
s
u
m
u
p
th
e
to
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o
f
p
lay
er
s
'
d
ep
o
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its
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d
s
alar
ies.
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h
ese
s
u
m
s
w
er
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co
llected
a
n
d
u
s
ed
f
o
r
r
esear
ch
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h
e
co
llected
d
ata
w
a
s
p
r
e
-
p
r
o
ce
s
s
ed
in
a
s
p
r
ea
d
s
h
ee
t
as
s
h
o
w
n
i
n
Fi
g
u
r
e
2
.
T
h
e
co
n
tr
ac
t
w
as
m
ad
e
f
o
r
p
itch
er
F
A
co
n
tr
ac
ts
b
et
w
ee
n
2
0
1
0
an
d
2
0
1
9
.
I
n
o
th
er
w
o
r
d
s
,
th
e
y
s
i
g
n
ed
an
F
A
co
n
tr
ac
t
af
ter
2
0
1
0
,
an
d
ar
e
p
lay
er
s
w
h
o
co
m
p
leted
t
h
e
F
A
co
n
tr
ac
t p
er
io
d
b
y
2
0
1
9
.
Fig
u
r
e
2
.
Data
p
r
ep
r
o
ce
s
s
in
g
b
y
p
ast
in
g
i
n
to
s
p
r
ea
d
s
h
ee
t
3.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
I
n
t
h
is
s
t
u
d
y
,
th
e
tr
en
d
s
o
f
E
R
A
,
W
A
R
,
an
d
FB
I
w
er
e
ex
a
m
in
ed
f
o
r
p
itc
h
er
s
w
h
o
s
tar
ted
an
d
co
m
p
leted
a
n
F
A
co
n
tr
ac
t b
et
w
ee
n
2
0
1
0
an
d
2
0
1
9
.
3
.
1
.
Resul
t
a
na
ly
s
is
I
n
th
i
s
s
t
u
d
y
,
t
h
e
p
er
f
o
r
m
a
n
c
e
o
f
F
A
p
la
y
er
s
w
as
a
n
al
y
ze
d
b
ased
o
n
ag
e
-
s
tan
d
ar
d
s
a
n
d
an
n
u
al
-
s
tan
d
ar
d
s
.
Ag
e
-
s
ta
n
d
ar
d
s
w
er
e
an
al
y
ze
d
b
y
d
i
v
id
in
g
t
h
e
m
in
to
ca
te
g
o
r
ies
o
f
3
2
o
r
y
o
u
n
g
er
,
3
3
to
3
4
y
ea
r
s
o
ld
,
3
5
to
3
6
y
ea
r
s
o
ld
,
an
d
3
7
y
ea
r
s
o
r
o
ld
er
.
A
n
n
u
al
-
s
ta
n
d
ar
d
s
w
er
e
an
a
l
y
ze
d
b
y
d
iv
id
i
n
g
p
la
y
er
s
in
to
th
e
1
s
t,
2
n
d
,
3
r
d
an
d
4
th
y
ea
r
s
o
f
t
h
eir
co
n
tr
ac
ts
.
3
.
1
.
1
.
Resul
t
o
f
a
v
er
a
g
e
o
f
inn
ing
s
pitc
he
d
(
IP
)
P
lay
i
n
g
in
n
i
n
g
s
is
th
e
b
asic
v
ir
tu
e
o
f
a
p
itch
er
in
b
ase
b
all.
I
n
th
e
s
p
o
r
ts
m
ed
ia
o
f
Ko
r
ea
,
th
e
ex
p
r
ess
io
n
'
P
la
y
i
n
g
in
n
i
n
g
s
'
i
s
ex
p
r
ess
ed
as
'
T
h
e
p
itch
er
ea
t
s
in
n
i
n
g
s
'
.
T
h
e
m
o
r
e
in
n
i
n
g
s
t
h
e
p
itc
h
er
ea
ts
,
t
h
e
ea
s
ier
th
e
o
th
er
p
itc
h
er
s
in
t
h
e
tea
m
ca
n
p
r
ep
ar
e
f
o
r
o
th
er
m
atc
h
es.
An
d
if
y
o
u
f
in
i
s
h
th
e
g
a
m
e
w
i
th
a
s
m
al
l
n
u
m
b
er
o
f
p
itc
h
er
s
,
it
w
il
l
b
e
ea
s
ier
f
o
r
th
e
co
ac
h
in
g
s
taf
f
t
o
r
u
n
a
s
ea
s
o
n
b
ec
au
s
e
t
h
e
r
elief
p
itc
h
er
s
w
ill
n
o
t
b
e
co
n
s
u
m
ed
.
T
h
er
ef
o
r
e,
in
t
h
is
s
t
u
d
y
,
b
ec
au
s
e
o
f
t
h
e
i
m
p
o
r
tan
ce
o
f
t
h
ese
m
atter
s
,
w
e
an
al
y
ze
d
h
o
w
m
an
y
in
n
in
g
s
th
e
F
A
p
itch
er
s
co
u
ld
af
f
o
r
d
f
o
r
ea
ch
a
g
e
g
r
o
u
p
an
d
h
o
w
m
a
n
y
in
n
i
n
g
s
t
h
e
y
p
la
y
e
d
ea
ch
y
ea
r
.
T
h
u
s
,
th
e
h
ig
h
er
t
h
e
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ev
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t
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o
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til
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h
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f
3
6
,
p
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s
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o
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s
tab
le
p
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m
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.
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f
te
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aid
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g
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y
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tes
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w
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it
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s
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th
at
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attr
ac
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d
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,
s
o
it is
n
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ce
s
s
ar
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to
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to
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4.
CO
NCLU
SI
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t
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it
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g
lo
b
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tlo
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k
w
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to
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-
1
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cl
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in
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x
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to
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ca
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cr
ea
te
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cr
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is
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at
c
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u
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lead
to
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l
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u
e
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ad
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b
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t
m
en
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s
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s
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r
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in
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y
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ased
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t
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ata
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tr
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th
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e
,
an
d
th
r
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g
h
b
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g
da
ta
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al
y
s
i
s
,
t
h
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p
la
y
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s
'
p
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f
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m
a
n
ce
a
n
d
t
h
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f
i
n
a
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d
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ata
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m
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t
o
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th
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tr
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cts
o
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s
,
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tr
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d
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tio
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,
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d
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s
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as
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lts
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t
u
d
y
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o
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d
o
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t
h
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to
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m
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th
e
o
p
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n
al
e
f
f
ici
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c
y
o
f
th
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u
b
b
y
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p
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atin
g
t
h
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f
i
n
a
n
cial
b
u
r
d
en
i
n
d
ex
.
T
h
e
ex
p
ec
tatio
n
o
f
t
h
is
s
t
u
d
y
is
t
h
at
t
h
e
i
m
p
o
r
tan
ce
o
f
d
a
ta
an
al
y
s
i
s
i
n
t
h
e
f
ield
o
f
p
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io
n
al
s
p
o
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ts
ca
n
b
e
f
u
r
th
er
e
m
p
h
as
iz
ed
.
I
t
ca
n
also
r
aise
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ar
en
e
s
s
th
at
p
la
y
er
s
in
t
h
eir
m
id
-
3
0
s
,
w
h
o
ar
e
s
tar
tin
g
to
tu
r
n
a
w
a
y
,
ar
e
m
ai
n
tai
n
i
n
g
g
o
o
d
p
er
f
o
r
m
a
n
ce
.
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n
ad
d
itio
n
,
th
r
o
u
g
h
ef
f
o
r
ts
to
ad
j
u
s
t
th
e
ter
m
s
o
f
th
e
F
A
co
n
tr
ac
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th
e
f
in
a
n
cial
b
u
r
d
en
in
d
icato
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s
ca
n
b
e
ad
j
u
s
ted
to
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ed
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ce
th
e
f
in
a
n
cial
b
u
r
d
en
o
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th
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clu
b
s
a
n
d
ca
n
b
e
u
s
ed
as b
asic d
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f
o
r
p
r
ev
en
ti
n
g
t
h
e
lea
g
u
e
f
r
o
m
b
ein
g
d
e
s
tr
o
y
ed
.
Fin
all
y
,
as
a
f
u
t
u
r
e
r
esear
ch
p
lan
,
th
e
an
a
l
y
s
is
o
f
p
la
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s
in
o
th
er
p
o
s
itio
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s
as
w
el
l
as
th
e
p
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tch
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ca
n
b
e
p
er
f
o
r
m
ed
to
f
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th
er
i
m
p
r
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v
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th
e
p
er
f
o
r
m
a
n
ce
o
f
clu
b
s
a
n
d
to
co
n
tin
u
e
to
m
a
k
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b
asic
d
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f
o
r
p
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f
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b
aseb
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m
s
a
v
ailab
le
to
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m
p
r
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q
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alit
y
o
f
t
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KB
O
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t
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r
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u
g
h
r
ea
s
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n
ab
le
in
v
e
s
t
m
e
n
t.
RE
F
E
R
E
NC
E
S
[1
]
Y.
H
w
a
n
g
,
e
t
a
l.
,
"
A
n
a
l
y
z
in
g
Bo
x
-
O
ff
ice
Hit
F
a
c
to
rs
Us
in
g
Bi
g
Da
ta:
F
o
c
u
sin
g
o
n
Ko
re
a
n
F
il
m
s
f
o
r
th
e
L
a
st
5
Ye
a
rs
,
"
J
o
u
rn
a
l
o
f
I
n
fo
rm
a
ti
o
n
a
n
d
C
o
mm
u
n
ica
ti
o
n
Co
n
v
e
rg
e
n
c
e
En
g
in
e
e
rin
g
,
v
o
l
.
1
5
,
n
o
.
4
,
p
p
.
2
1
7
-
2
2
6
,
De
c
.
2
0
1
7
.
[2
]
A
.
S
u
n
d
a
ra
m
,
A
.
A
.
M
a
s’u
d
,
H.
Z.
A
l
G
a
rn
i
a
n
d
S
.
A
d
e
w
u
si,
"
A
s
se
ss
m
e
n
t
o
f
O
ff
-
S
h
o
re
W
in
d
T
u
rb
in
e
s
f
o
r
A
p
p
li
c
a
ti
o
n
i
n
S
a
u
d
i
A
ra
b
ia,"
I
n
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
El
e
c
trica
l
a
n
d
C
o
mp
u
ter
En
g
i
n
e
e
rin
g
,
v
o
l.
1
0
,
n
o
.
5
,
p
p
.
4
5
0
7
-
4
5
1
3
,
Oc
t
.
2
0
2
0
.
[3
]
H.
J.
Yu
n
,
“
A
Re
a
l
-
T
i
m
e
P
lay
e
rs
Ev
a
lu
a
ti
o
n
M
o
d
e
l
De
v
e
lo
p
m
e
n
t
b
a
se
d
o
n
S
o
c
ial
Big
Da
ta
in
Ko
r
e
a
P
ro
f
e
ss
io
n
a
l
Ba
se
b
a
ll
:
S
e
n
ti
m
e
n
t
A
n
a
l
y
sis
U
sin
g
M
a
c
h
in
e
L
e
a
rn
in
g
,
”
Diss
e
rt
a
ti
o
n
,
T
h
e
G
r
a
d
u
a
te
S
c
h
o
o
l
o
f
Ko
re
a
Na
ti
o
n
a
l
S
p
o
rt
Un
iv
e
rsity
,
S
e
o
u
l
,
p
p
.
3
9
6
-
3
9
7
,
2
0
1
8
.
[4
]
J.
S
.
Ch
e
a
,
“
De
v
e
lo
p
m
e
n
t
a
n
d
Util
iza
ti
o
n
o
f
Co
m
p
a
ra
ti
v
e
A
ss
e
ss
m
e
n
t
In
d
ice
s
f
o
r
th
e
Ev
a
lu
a
ti
o
n
o
f
P
ro
f
e
ss
io
n
a
l
Ba
se
b
a
ll
P
e
rf
o
rm
a
n
c
e
s,
Diss
e
rtatio
n
,
”
T
h
e
Gr
a
d
u
a
te S
c
h
o
o
l
o
f
S
u
n
g
k
y
u
n
k
wa
n
Un
ive
rs
it
y
,
S
e
o
u
l,
2
0
1
0
.
[5
]
J.
T
.
Lee
,
"
A
Co
m
p
a
riso
n
o
f
F
o
r
m
u
las
to
P
re
d
ict
A
T
e
a
m
’s
W
in
n
in
g
P
e
rc
e
n
tag
e
in
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re
a
n
P
r
o
-
Ba
se
b
a
ll
,
"
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o
u
rn
a
l
o
f
t
h
e
Ko
re
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n
Da
t
a
a
n
d
In
f
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ti
o
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ien
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o
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ie
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l.
2
7
,
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.
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p
p
.
1
5
8
5
-
1
5
9
2
,
N
o
v
.
2
0
1
6
.
[6
]
T
.
S
.
Ch
o
i
a
n
d
J.
H.
Yim
,
"
A
S
t
u
d
y
o
n
th
e
Ex
c
e
ll
e
n
t
Op
e
ra
ti
o
n
o
f
th
e
“
Ko
re
a
Ba
se
b
a
ll
Ha
ll
o
f
F
a
m
e
,
"
B
a
se
d
o
n
Ba
se
b
a
ll
Re
c
o
rd
s,"
J
o
u
rn
a
l
o
f
K
o
re
a
n
S
o
c
iety
o
f
Arc
h
ive
s
a
n
d
Re
c
o
rd
s
M
a
n
a
g
e
me
n
t,
v
o
l.
1
6
,
n
o
.
3
,
p
p
.
1
5
7
-
1
7
7
,
A
u
g
.
2
0
1
6
.
[7
]
Y.
R.
C
h
o
e
a
n
d
J.
H.
Yim
,
"
A
S
tu
d
y
o
n
M
a
n
a
g
e
m
e
n
t
o
f
P
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rso
n
a
l
A
rc
h
iv
e
s:
Ho
w
to
M
a
k
e
M
y
A
rc
h
iv
e
,
"
T
h
e
Ko
re
a
n
J
o
u
rn
a
l
o
f
Arc
h
iv
a
l
S
tu
d
i
e
s,
v
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l.
4
7
,
n
o
.
1
,
p
p
.
5
-
4
9
,
Ja
n
.
2
0
1
6
.
[8
]
S
.
H.
Kw
o
n
,
“
S
tu
d
y
o
n
th
e
Cu
rr
e
n
t
S
tatu
s
a
n
d
Im
p
ro
v
e
m
e
n
t
P
la
n
f
o
r
Re
c
o
rd
s
a
n
d
A
rc
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iv
e
s
M
a
n
a
g
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m
e
n
t
o
f
th
e
Ko
re
a
Ba
se
b
a
ll
Or
g
a
n
iza
ti
o
n
,
”
M
a
ste
r'
s
T
h
e
sis,
T
h
e
G
r
a
d
u
a
te
S
c
h
o
o
l
o
f
Ha
n
k
u
k
Un
iv
e
rsit
y
o
f
F
o
re
ig
n
S
tu
d
ies
,
S
e
o
u
l,
2
0
1
4
.
[9
]
S
.
M
.
Kim
a
n
d
K.
S
.
Y
o
u
,
"
T
h
e
Eff
e
c
t
o
f
Da
il
y
Av
e
ra
g
e
Hu
m
id
it
y
o
n
P
it
c
h
e
r’s
S
tats
o
f
A
S
tri
ke
-
Ou
t,
"
J
o
u
r
n
a
l
o
f
In
d
u
stria
l
C
o
n
v
e
rg
e
n
c
e
,
v
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l
.
1
8
,
n
o
.
1
,
p
p
.
6
5
-
7
1
,
F
e
b
.
2
0
2
0
.
[1
0
]
S
.
K.
Kim
,
“
T
h
e
Eff
e
c
t
o
f
Da
il
y
Av
e
ra
g
e
T
e
m
p
e
ra
tu
re
o
n
th
e
Ba
tt
e
r’s
P
e
rf
o
rm
a
n
c
e
in
Ba
se
b
a
ll
G
a
m
e
:
F
o
c
u
se
d
o
n
Big
Da
ta
A
n
a
l
y
sis,”
M
a
ste
r
'
s T
h
e
sis
T
h
e
G
r
a
d
u
a
te S
c
h
o
o
l
o
f
Ho
se
o
Un
iv
e
rsity
,
A
sa
n
,
2
0
2
0
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
11
,
No
.
3
,
J
u
n
e
2021
:
2
5
5
5
-
2562
2562
[1
1
]
J.
M
.
Y
o
o
,
“
Co
rre
lati
o
n
b
e
tw
e
e
n
Ba
ll
S
p
e
e
d
o
f
Ba
se
b
a
ll
P
it
c
h
e
r
a
n
d
C
o
re
A
b
il
it
y
a
n
d
T
ru
n
k
Ra
n
g
e
o
f
M
o
ti
o
n
,
”
M
a
ste
r’s T
h
e
sis,
T
h
e
G
ra
d
u
a
te S
c
h
o
o
l
o
f
Ko
re
a
Na
ti
o
n
a
l
S
p
o
rt
U
n
i
v
e
rsit
y
,
S
e
o
u
l,
2
0
1
8
.
[1
2
]
J.
T
.
L
e
e
,
"
P
it
c
h
in
g
G
ra
d
e
In
d
e
x
in
Ko
re
a
n
P
ro
-
Ba
se
b
a
ll
,
"
J
o
u
r
n
a
l
o
f
t
h
e
Ko
re
a
n
Da
t
a
&
In
fo
rm
a
ti
o
n
S
c
ien
c
e
S
o
c
iety
,
n
o
l.
2
5
,
n
o
.
3
,
p
p
.
4
8
5
-
4
9
2
,
M
a
y
2
0
1
4
.
[1
3
]
H.
B.
S
e
u
n
g
a
n
d
K.H.
Ka
n
g
,
"
A
S
tu
d
y
o
n
Re
latio
n
sh
i
p
b
e
tw
e
e
n
th
e
P
e
rf
o
rm
a
n
c
e
o
f
P
ro
f
e
ss
io
n
a
l
Ba
se
b
a
ll
P
lay
e
rs
a
n
d
A
n
n
u
a
l
S
a
lary
,
"
J
o
u
rn
a
l
o
f
t
h
e
Ko
re
a
n
Da
t
a
&
In
fo
rm
a
ti
o
n
S
c
ien
c
e
S
o
c
iety
,
v
o
l.
2
3
,
n
o
.
0
2
,
p
p
.
2
8
5
-
2
9
8
,
A
p
r
.
2
0
1
2
.
[1
4
]
S
.
J.
S
o
n
,
“
A
S
tu
d
y
o
n
th
e
Co
m
p
a
riso
n
o
f
A
th
letic
P
e
rf
o
rm
a
n
c
e
o
f
Ko
re
a
n
P
ro
f
e
ss
io
n
a
l
Ba
se
b
a
ll
P
lay
e
rs
Be
f
o
re
a
n
d
A
f
ter t
h
e
F
A
Co
n
trac
t,
”
M
a
ste
r'
s
T
h
e
sis,
G
ra
d
u
a
te S
c
h
o
o
l
o
f
M
y
o
n
g
ji
Un
iv
e
rsit
y
,
2
0
1
7
.
[1
5
]
J.
T
.
Lee
,
"
A
n
a
l
y
sis
o
f
F
a
c
to
rs
Aff
e
c
ti
n
g
Ko
re
a
n
P
r
o
f
e
ss
io
n
a
l
Ba
se
b
a
ll
P
it
c
h
e
r
S
a
larie
s,"
J
o
u
rn
a
l
o
f
t
h
e
Ko
re
a
n
Da
ta
a
n
d
In
fo
rm
a
t
io
n
S
c
ien
c
e
S
o
c
iety
,
v
o
l.
2
8
,
n
o
.
2
,
p
p
.
3
1
7
-
3
2
6
,
M
a
r
.
2
0
1
7
.
[1
6
]
S
.
W
.
H
w
a
n
g
a
n
d
I.
H.
P
a
rk
,
"
Ex
p
lo
ra
ti
o
n
o
f
V
a
lu
e
Ev
a
lu
a
ti
o
n
F
a
c
to
rs
f
o
r
P
ro
f
e
ss
io
n
a
l
Ba
se
b
a
ll
P
lay
e
rs
:
Co
m
p
a
riso
n
o
f
S
a
lar
y
De
ter
m
in
a
n
t
F
a
c
to
rs
in
KBO
L
e
a
g
u
e
a
n
d
M
L
B,
"
T
h
e
Ko
re
a
n
J
o
u
rn
a
l
o
f
M
e
a
su
re
me
n
t
a
n
d
Eva
lu
a
ti
o
n
i
n
P
h
y
sic
a
l
E
d
u
c
a
ti
o
n
a
n
d
S
p
o
rt
S
c
ien
c
e
,
v
o
l
.
2
0
,
n
o
.
1
,
p
p
.
3
3
-
4
5
,
M
a
r
.
2
0
1
8
.
[1
7
]
P
.
S
.
Ha
n
,
"
Cre
a
ti
o
n
o
f
S
a
lar
y
A
ss
e
ss
m
e
n
t
F
a
c
to
r
a
n
d
P
ro
f
e
ss
io
n
a
l
Ba
sk
e
tb
a
ll
P
lay
e
r
G
a
m
e
A
c
tu
a
l
Re
su
lt
s
Ev
a
lu
a
ti
o
n
T
o
o
l
De
v
e
lo
p
m
e
n
t,
Diss
e
rtatio
n
,
"
T
h
e
G
ra
d
u
a
te S
c
h
o
o
l
o
f
Ch
u
n
g
-
a
n
g
Un
iv
e
rsity
,
S
e
o
u
l,
2
0
0
3
.
[1
8
]
K.
R.
Ch
a
n
g
a
n
d
M
.
C.
Kim
,
"
A
S
tu
d
y
o
n
th
e
F
in
a
n
c
ial
Re
v
e
n
u
e
a
n
d
Ex
p
e
n
d
it
u
re
S
tr
u
c
tu
re
Us
in
g
a
P
ro
f
it
-
L
o
ss
S
tate
m
e
n
t
in
Ko
re
a
n
P
r
o
Ba
se
b
a
ll
T
e
a
m
s,"
T
h
e
Ko
re
a
n
J
o
u
rn
a
l
o
f
Ph
y
sic
a
l
Ed
u
c
a
ti
o
n
,
v
o
l.
5
3
,
n
o
.
3
,
p
p
.
3
5
7
-
3
6
9
,
M
a
y
2
0
1
4
.
[1
9
]
Y.
H.
Kim
,
"
A
S
tu
d
y
o
f
De
te
r
m
i
n
a
n
ts
o
f
Ko
re
a
n
Ba
se
b
a
ll
P
it
c
h
e
rs’
S
a
lary
,
"
M
a
ste
r'
s
T
h
e
sis,
T
h
e
G
ra
d
u
a
te
S
c
h
o
o
l
o
f
S
o
g
a
n
g
Un
iv
e
rsit
y
,
S
e
o
u
l,
2
0
1
4
.
[2
0
]
He
r
m
,
S
.
,
e
t
a
l.
,
"
W
h
e
n
t
h
e
Cro
w
d
Ev
a
lu
a
tes
S
o
c
c
e
r
P
lay
e
rs’
M
a
rk
e
t
V
a
lu
e
s:
A
c
c
u
ra
c
y
a
n
d
Ev
a
lu
a
ti
o
n
A
tt
rib
u
tes
o
f
a
n
On
li
n
e
C
o
m
m
u
n
it
y
,
"
Sp
o
rt
M
a
n
a
g
e
me
n
t
Rev
iew,
v
o
l.
1
7
,
n
o
.
4
,
p
p
.
4
8
4
-
4
9
2
,
A
p
r.
2
0
1
4
.
[2
1
]
H.
K.
Je
o
n
,
"
A
n
a
l
y
sis
o
f
Crit
ica
l
F
a
c
to
rs
a
ff
e
c
ti
n
g
M
a
r
k
e
t
V
a
lu
e
o
f
B
a
se
b
a
ll
P
la
y
e
rs
(P
it
c
h
e
rs)
in
Ko
re
a
,
"
M
a
ste
r
'
s
T
h
e
sis,
T
h
e
G
ra
d
u
a
te S
c
h
o
o
l
o
f
Ha
n
y
a
n
g
Un
iv
e
rsit
y
,
S
e
o
u
l,
2
0
1
7
.
[2
2
]
H.
G
.
Ki
m
a
n
d
J.
Y.
L
e
e
,
"
S
u
g
g
e
stio
n
o
f
S
tartin
g
P
it
c
h
e
r
A
b
i
li
ty
In
d
e
x
in
Ko
re
a
b
a
se
b
a
ll
-
F
o
c
u
sin
g
o
n
th
e
S
a
b
e
rm
e
tri
c
s
S
tatisti
c
s
WA
R,
"
J
o
u
rn
a
l
o
f
t
h
e
Ko
re
a
n
Da
t
a
&
In
fo
rm
a
t
io
n
S
c
ien
c
e
S
o
c
iety
,
v
o
l.
2
8
,
n
o
.
4
,
p
p
.
8
6
3
-
8
7
4
,
Ju
l
.
2
0
1
7
.
[2
3
]
C.
K.
Kim
a
n
d
S
.
H.
Jin
,
"
P
re
d
icti
n
g
W
in
s
th
ro
u
g
h
P
r
o
f
e
ss
io
n
a
l
Ba
se
b
a
ll
S
tatisti
c
s,"
J
o
u
rn
a
l
o
f
t
h
e
Ko
re
a
n
D
a
t
a
An
a
lys
is
S
o
c
iety
,
v
o
l.
1
6
,
n
o
1
.
1
(
B),
p
p
.
2
1
1
-
2
2
0
,
F
e
b
.
2
0
1
4
.
[2
4
]
D.
E.
Ya
n
g
,
"
A
p
p
li
c
a
ti
o
n
o
f
S
a
b
e
rm
e
tri
c
s
to
Ko
re
a
n
P
ro
f
e
ss
i
o
n
a
l
Ba
se
b
a
ll
P
lay
e
r’s
P
a
y
a
n
d
P
e
rf
o
rm
a
n
c
e
,
Diss
e
rtatio
n
,
"
T
h
e
G
ra
d
u
a
te S
c
h
o
o
l
o
f
Ko
re
a
Un
iv
e
rsity
,
S
e
o
u
l,
2
0
1
6
.
[2
5
]
J.
Y.
L
e
e
a
n
d
H.
G
.
Ki
m
,
"
S
u
g
g
e
stio
n
o
f
b
a
tt
e
r
a
b
il
it
y
in
d
e
x
in
Ko
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