scieee Science in your language
[en] (orig)

The Impact of Performance Measures in Football Players’ Transfer Market Value

Abstract

This document provides the dissertation presented as requirement for obtaining the Master degree in Information Management with the specialization in Knowledge Management and Business Intelligence in Nova Information Management School of University of Lisbon. Football is the most popular sport in Europe where players assume a key role. In recent years, we have assisted to an inflation of the players price which may represent a profligacy problem to the European football teams. Consequently, is important to understand which factors influence the transfer market value of football players. Recent studies suggest that the transfer market value depends on many factors, including the performance measures. These measures quantify the abilities that each player executes in the pitch. Despite the developments made on this field, few studies considered the specifications of each position in the performance measures selection. Therefore, this study aims to understand the impact of the performance measures in the players of top six European leagues in the last three seasons, considering each position group. For this, fixed effect regression was run and the results revealed that goalkeepers market value has a positive correlation with the number of games without conceiving goals. The defensive duels and the aerials duels won per minute have a negative correlation for the defenders. The number of assists affects positively the transfer market value of midfielders and goals have a great impact in these players and attackers’ value. This research intent to produce relevant insights to agents that have an active role in football transfer market.

Read accessible full text

The Impact of Performance Measures in Football Players’ Transfer Market Value

Author: Ferreira, Miguel da Silva Brito Pacheco
Year: 2022
Source: https://run.unl.pt/bitstream/10362/136016/1/TGI0578.pdf
i
The Impac o Pe o mance Measu es in Foo ball
Playe s’ T ans e Ma ke Value
Miguel da Sil a B i o Pacheco Fe ei a
Supe ised by B uno Miguel Pin o Damásio
Disse a ion p esen ed as equi emen o ob aining he
Mas e ’s deg ee in S a is ics and In o ma ion Managemen ,
wi h a specializa ion in Business In elligence
ii
NOVA In o ma ion Managemen School
Ins i u o Supe io de Es a ís ica e Ges ão de In o mação
Uni e sidade No a de Lisboa
THE IMPACT OF PERFORMANCE MEASURES IN FOOTBALL PLAYERS’
TRANSFER MARKET VALUE
by
Miguel da Sil a B i o Pacheco Fe ei a
Disse a ion p esen ed as equi emen o ob aining he Mas e ’s deg ee in In o ma ion Managemen ,
wi h a specializa ion in Business In elligence
Ad iso : B uno Miguel Pin o Damásio
Oc obe 2021
iii
ABSTRACT
This documen p o ides he disse a ion p esen ed as equi emen o ob aining he Mas e deg ee in
In o ma ion Managemen wi h he specializa ion in Knowledge Managemen and Business In elligence
in No a In o ma ion Managemen School o Uni e si y o Lisbon. Foo ball is he mos popula spo in
Eu ope whe e playe s assume a key ole. In ecen yea s, we ha e assis ed o an in la ion o he playe s
p ice which may ep esen a p o ligacy p oblem o he Eu opean oo ball eams. Consequen ly, is
impo an o unde s and which ac o s in luence he ans e ma ke alue o oo ball playe s. Recen
s udies sugges ha he ans e ma ke alue depends on many ac o s, including he pe o mance
measu es. These measu es quan i y he abili ies ha each playe execu es in he pi ch. Despi e he
de elopmen s made on his ield, ew s udies conside ed he speci ica ions o each posi ion in he
pe o mance measu es selec ion. The e o e, his s udy aims o unde s and he impac o he
pe o mance measu es in he playe s o op six Eu opean leagues in he las h ee seasons, conside ing
each posi ion g oup. Fo his, ixed e ec eg ession was un and he esul s e ealed ha goalkeepe s
ma ke alue has a posi i e co ela ion wi h he numbe o games wi hou concei ing goals. The
de ensi e duels and he ae ials duels won pe minu e ha e a nega i e co ela ion o he de ende s.
The numbe o assis s a ec s posi i ely he ans e ma ke alue o mid ielde s and goals ha e a g ea
impac in hese playe s and a acke s’ alue. This esea ch in en o p oduce ele an insigh s o
agen s ha ha e an ac i e ole in oo ball ans e ma ke .
KEYWORDS
Foo ball, Playe s, Ma ke Value, Panel da a, Pe o mance Indica o s
i
INDEX
1. In oduc ion .................................................................................................................. 1
2. Li e a u e Re iew ......................................................................................................... 3
2.1 Eu opean Foo ball T ans e Ma ke O e iew ...................................................... 3
2.2 Foo ball Playe Ma ke Value ................................................................................ 4
2.2.1 Playe s Cha ac e is ics .................................................................................... 4
2.2.2 Playe Popula i y ............................................................................................ 6
2.2.3 Team pe o mance indica o s ........................................................................ 6
2.2.4 Playe pe o mance indica o s ....................................................................... 6
3. Me hodology ................................................................................................................ 9
4. Da ase and desc ip i e s a is ic ................................................................................ 10
4.1 Da ase ................................................................................................................. 10
4.2 Desc ip i e S a is ics ............................................................................................ 10
4.2.1 Goalkeepe s .................................................................................................. 10
4.2.2 De ende s ..................................................................................................... 11
4.2.3 Mid ielde s ................................................................................................... 11
4.2.4 A acke s ....................................................................................................... 12
5. Resul s......................................................................................................................... 13
5.1 Goalkeepe s ......................................................................................................... 13
5.2 De ende s ............................................................................................................ 13
5.3 Mid ielde s ........................................................................................................... 14
5.4 A acke s .............................................................................................................. 15
6. Conclusion .................................................................................................................. 16
7. Bibliog aphy ................................................................................................................ 18
8. Appendixes ................................................................................................................. 22
8.1 Appendix 1 ........................................................................................................... 22
8.2 Appendix 2 ........................................................................................................... 25
8.3 Appendix 3 ........................................................................................................... 26
8.4 Appendix 4 ........................................................................................................... 29
8.5 Appendix 5 ........................................................................................................... 29
8.6 Appendix 6 ........................................................................................................... 30
8.7 Appendix 7 ........................................................................................................... 30
TABLES INDEX
Table 1 - Foo ball Playe s cha ac e is ics indica o s .................................................................. 5
Table 2 - Foo ball playe s popula i y indica o s ......................................................................... 6
Table 3 – Team pe o mance indica o s .................................................................................... 6
Table 4 - Foo ball playe s pe o mance indica o s .................................................................... 7
Table 5 – Goalkeepe s da a desc ip i e s a is ics .................................................................... 11
Table 6 – De ende s da a desc ip i e s a is ics ....................................................................... 11
Table 7 – Mid ielde s da a desc ip i e s a is ics ...................................................................... 12
Table 8 – A acke s da a desc ip i e s a is ics ......................................................................... 12
Table 9 – Hausman Tes esul s pe Posi ion G oup ................................................................ 13
Table 10 – Fixed E ec eg ession esul s ime and en i y e ec s o Goalkeepe s ............... 13
Table 11 – Fixed e ec s eg ession esul s ime and en i y o De ende s ............................. 14
Table 12 – Fixed e ec s eg ession esul s ime and en i y o Mid ielde s ........................... 15
Table 13 – Fixed e ec s eg ession esul s ime and en i y o A acke s .............................. 15

1
1. In oduc ion
Associa ion oo ball, o socce , is go e ned by Fédé a ion In e na ionale de Foo ball Associa ion (FIFA)
ha ep esen s he highes body in oo ball (FIFA, 2020). The Union o Eu opean Foo ball Associa ions
(UEFA) is he go e ning body in Eu ope, whe e he main clubs’ compe i ions a e he UEFA Champions
League and UEFA Eu ope League. Pa icipa e in hese compe i ions he bes anked eams om he 12
di e en na ional leagues. Acco ding o UEFA (2020), he op six anked Eu opean leagues a e: La Liga
in Spain, P emie League in England, Se ie A in I aly, Bundesliga in Ge many, Ligue 1 in F ance and Liga
NOS in Po ugal.
Foo ball is he mos popula spo in Eu ope whe e clubs a e ollowed by millions o ans. Season a e
season, oo ball clubs gene a e eno mous e enues. Fo he i s ime, in 2019 a oo ball club, F. C.
Ba celona, eached he 800 million eu os ba ie (Deloi e, 2020). As a esul , some au ho s a gue ha
oo ball is no jus a spo , bu a well- un business, whe e oo ball clubs can be compa ed o companies
(Op ean & Op ison, 2014, p. 1850). In his mul i-million-indus y, oo ball clubs gene a e e enues
h ough di e en ac i i ies, including he acquisi ion and disposal o oo ball playe s (Ami & Li ne,
2005).
Foo ball playe s a e he mos impo an elemen s in a oo ball club ha ing an o e weigh ole in bo h
spo s and economic oo ball dimensions. They a e hi ed wi h he expec a ion o inc ease eam
pe o mance and b ing inancial bene i s o he club in he u u e (Ruijg & Ophem, 2015; Ami & Li ne,
2005). Clubs cons uc hei eams in wo di e en ways ha can be combined – hey ec ui oo ball
playe s in a e y young age and a e ha , hey ecei e a oo ball educa ion passing h ough he young
eams un il hey achie e he p o essional eam, o /and con ac o loan p o essional playe s using he
in e na ional ans e ma ke .
In Eu ope, he oo ball ans e ma ke is cha ac e ized o be a ee ma ke whe e he e a e wo ypes
o ans e s be ween clubs: ans e o playe s unde con ac and playe s wi hou any con ac (Ami
& Li ne, 2005). I a playe has a con ac wi h ano he oo ball club a ans e ee mus be paid in o de
o compensa e he loss o he eam pe o mance and he in es men s ha we e made in he pas wi h
him. Each yea , oo ball clubs spen a as amoun o money hi ing new playe s. In Eu ope, his alue
is ising in he pas yea s, e en wi h he limi a ions imposed by he UEFA Financial Fai Play Regula ion.
In ecen yea s, we ha e assis ed o he in la ion o oo ball playe s p ices which may ep esen a
p oblem o p o ligacy by he Eu opean oo ball clubs.
T ans e ees paid by he club a e in luenced by he ans e ma ke alue o oo ball playe s which
p o ides an es ima ion o he amoun o money ha a club can sell he oo ball playe con ac o
ano he oo ball club. T ans e ma ke alue is ex emely used in ans e nego ia ions be ween clubs
and oo ball playe s. I is also used o e i y i he oo ball playe has a ai p ice. Ne e heless, i is
di icul o de ine he ma ke alue o a oo ball playe as i depends on many ac o s (Op ean &
Op ison, 2014).
Recen esea ches s udied he ac o s ha in luence he playe s’ ans e ma ke alue in he op
Eu opean leagues. Among se e al ac o s, An e (2019) concluded ha i depends o he pe o mance
indica o s. These indica o s quan i y he di e en abili ies ha a playe de elop du ing a game and
seasons. Howe e , oo ball is a collec i e spo whe e each indi iduali y occupies di e en posi ions
and de ains se e al oles (Di Sal o e al., 2017; Hughes e al., 2012). This ac highligh s he impo ance
2
o he pe o mance indica o s selec ion when we p e end o analyse he ela ionship be ween hese
indica o s and he playe s’ ans e ma ke alue. Despi e he ad ancemen s made on his ield, ew
s udies conside ed he speci ica ion o each posi ion in he selec ion o he pe o mance indica o s
and he ela ion ha hey ha e wi h he ans e ma ke alue. Addi ionally, due o he speci ic
cha ac e is ics o he goalkeepe posi ion, hese playe s we e e en excluded om some esea ches.
The e o e, his s udy p e ends o s udy he ela ion be ween he pe o mance indica o s o playe s
and hei ma ke alue conside ing he ou posi ions g oups: goalkeepe s, de ende s, mid ielde s and
a acke s. Fo his we use da a om he bes six anked compe i ions in Eu ope in he las h ee
seasons – 2018/2019, 2019/2020 and 2020/2021. Once hese indica o s a y om season o season,
we use Panel Da a eg essions o es ima e and analyse he ela ionship be ween hese a iables and
he ans e ma ke alue. This s udy o e s ele an insigh s o he di e en oo ball agen s, no edly
he ones ha ha e an ac i e ole in he Eu opean oo ball ans e ma ke .
3
2. Li e a u e Re iew
2.1 EUROPEAN FOOTBALL TRANSFER MARKET OVERVIEW
In Eu ope, he oo ball ans e ma ke is cha ac e ized o be a ee ma ke whe e oo ball playe s
mo e o any club i hey do no ha e any con ac ual ela ionship. Howe e , be o e 1995 Eu opean
oo ball playe s we e unable o sign in o a new club wi hou he consen o he club ha de ain he
con ac , e en when he con ac was expi ed. This si ua ion was sol ed by a ule known as Bosman,
which educed he powe o he clubs in he ascendency o he oo ball playe s (Op ean & Op ison,
2014). A e 2001, Eu opean oo ball ans e s become limi ed by wo di e en pe iods: he summe
and he win e windows. The mon hs ha hese wo windows comp ise depend on he compe i ion.
In 2001, he Eu opean Commission, h ough he commissione Ma io Mon i, limi ed he maximum
du a ion o a oo ball playe con ac o i e yea s. Diel e al. (2008) a gue ha hese e en s inc eased
he eedom o mo emen s o playe s and esul ed in he inc ease o he oo ball clubs ma ke powe
in Eu ope.
In he oo ball ans e ma ke , he goal is o de ec he mos p omise playe s soone han he
opponen s. Usually, hey a e iden i ied by p o essionals called scou s ha a e esponsible o
disco e ing he bes and mos p omise playe s, some imes in ea lie s ages. Ano he impo an ole in
his ma ke is he oo ball agen . On one hand, he ep esen s a oo ball playe and is esponsible by
nego ia ing con ac s o achie e he bes ou come o hei clien s. On he o he hand, he agen can
also ep esen he clubs in o de o ill hei needs wi hin new playe s. Bo h scou s and agen s ha e a
key ole in he acquisi ion and disposal o playe s in ans e ma ke by he clubs.
In 2019, he e we e comple ed mo e han 12 housand ans e s in Eu ope, which ep esen mo e han
68% o he o al ans e s in he wo ld (FIFA, 2019). CIES Foo ball Obse a o y analysed he ou goings
o oo ball clubs om he i e mos ele an Eu opean leagues in he las nine yea s. Du ing his pe iod,
hey e i ied ha he in es men s made on new playe s ha e g own mo e han ou imes (Poli e al.,
2019). Manches e Ci y, a club om he P emie League, has in es ed mo e han 1.6 billion eu o in
new playe s since 2010. F. C. Ba celona, Chelsea F. C., Pa is S -Ge main (PSG) and Ju en us spen mo e
han one billion eu os du ing he same pe iod.
In 2019, he majo pa o oo ball clubs om he bes anked leagues in Eu ope showed a nega i e
ne balance alue (FIFA, 2019). In o he wo ds, he alue ha he op Eu opean clubs spen in oo ball
ans e s was highe han hei season e enues. Since 2009, UEFA Financial Fai Play Regula ion (FFP)
has imposed a se o inancial ules o b ing a ionali y o Eu opean oo ball clubs inances. This ule
de ends ha oo ball clubs should keep hei playe s’ expendi u es wi hin he e enues ob ained om
he se e al oo ball club ac i i ies du ing a pe iod o h ee inancial yea s (UEFA, 2018). As we can see,
his ule is no being ollowed by some oo ball clubs and, ecen ly, UEFA accused Manches e Ci y o
b oken FFP and ied o penalize his oo ball club abolishing i om he UEFA Champions League
compe i ion (Conn, 2020).
Ano he ele an ac om he Eu opean ans e ma ke is he inc easing p ice o e he las yea s.
Acco ding o FIFA (2019), he a e age playe s’ p ice has inc eased mo e han 50% since 2011. Howe e ,
Poli e al. (2020) es ima es ha i has inc eased 15% pe yea since 2010, eaching he peak o 26% in
2017.
4
In 2016, Paul Pogba, a F ench oo ball playe was he i s oo ball playe o be ans e ed by 100
million eu os and in 2017, he B azilian playe Neyma u ned in he mos expensi e playe in he
oo ball his o y, wi h a ans e p ice highe han 200 million eu os (Lowe & Aa ons, 2017). These
e en s con ibu ed o he hype in la ion o oo ball ans e p ices (Magee, 2017). Foo ball clubs hi e
hese s a s wi h he expec a ion o inc easing he oo ball eam pe o mance in bo h spo s and
inancial dimensions. Ye , oo ball clubs mus ensu e ha he es ima ed gains compensa e he as
in es men made, pa icula ly in spo s dimension.
2.2 FOOTBALL PLAYER MARKET VALUE
The oo ball ma ke is cha ac e ized by a high le el o in o ma ion asymme y, because he oo ball
club does no know an exac assessmen o he o e all index o abili ies and laws o a ce ain playe
and canno be assu ed o he playe s pe o mance (Op ean & Op ison, 2014). Addi ionally, i is di icul
o e alua e i he oo ball playe s’ ma ke alue is adjus ed o he spo and inancial bene i s ha he
oo ball playe will b ing o he club ha hi ed him. Addi ionally, i is ha d o ind public in o ma ion
ega ding his heme. T ans e ma k
1
is one o he ew sou ces ha es ima es he oo ball playe s
ans e ma ke alue. Based on a c owdsou cing model, use s can p opose a alue o a oo ball playe
based on hei pe o mance and discuss he es ima e p oposed wi h he o he membe s o he
communi y. Al hough T ans e ma k uses a hie a chical app oach – no all he use s es ima ion ha e
an equal alue – he e a e some limi a ions associa ed o his model: membe s do hei es ima ing
ma ke alues based on a bi a y indica o s, i is no possible o ep oduce he model and canno be
upda ed ma ch by ma ch, use s end o bene i he mos known playe s and inally, once he alues
a e public, his model does no o e a compe i i e ad an age o oo ball clubs in ans e nego ia ions
(Mülle e al., 2017). Howe e , ecen esea ches on he oo ball ans e ma ke ield we e based on
he in o ma ion p o ided by his websi e (He e al., 2015; An e, 2019; Mülle e al., 2017; Ruijg &
Ophem, 2015; S anoje ic & Gya ma i, 2016; Rod iguez, 2020).
Acco ding o An e (2019), he ma ke alue o a oo ball playe can be explained by h ee indica o s:
playe s cha ac e is ics, indi idual and collec i e pe o mance indica o s and playe s popula i y. In he
las yea s, some s udies iden i ied he ac o s ha in luence he ans e ee, he sala ies and he
ans e ma ke alues. Acco ding o B yson e al. (2012) he playe s’ sala ies a e in luenced by he
same ac o s ha in luence he ans e ee o he ans e alue.
2.2.1 Playe s Cha ac e is ics
Foo ball playe s cha ac e is ics encompass he in insic a ibu es ha do no depend on he playe s
pe o mance. Some s udies sugges ha age ep esen s a p oxy o expe ience and po en ial o a
oo ball playe ma ke alue (Ca michael & Thomas, 1993). Some au ho s a gue ha he oo ball playe
ma ke alue inc ease in o hei mid- wen ies and declines he e o e (B yson e al., 2012; Lehmann &
Schulze, 2008). O he esea ches ela e he sala ies and he age o he oo ball playe s sugges ing ha
a e he 28 yea s, oo ball playe s sala ies end o dec ease, ega ding he dec easing o physical
pe o mance and he g ea e suscep ibili y o ha ing an inju y (Luci o a & Simmons, 2003). This pa e n
is no shown in leagues ha a e no so ma u e, whe e oo ball clubs o e a as sala y o playe s a
he end o hei ca ee – which is he case o U. S. Majo League Socce (Kue he & Mo amed, 2010).
Felipe e al. (2020) show ha he bi h mon h o oo ball playe s may a ec hei ma ke alue,
1
A ailable in h ps://www. ans e ma k .com/
11
Table 5 – Goalkeepe s da a desc ip i e s a is ics
4.2.2 De ende s
This da ase is composed by 2497 obse a ions and 1352 di e en playe s. The a e age ma ke alue
o de ende s is 9,1 million eu os wi h a s anda d de ia ion o 12,5 million eu os. We obse e ha on
a e age he de ende s won 0,051 de ensi e duels pe minu e, conque ed 0,023 ae ials duels pe
minu e, execu ed 0,009 ackles and in e cep ed 0,01 shoo s pe minu e. The playe s ep esen ed in
his da ase ca ied ou 0,013 ouls pe minu e. The subsequen able exposes all he measu es ela ed
wi h he de ende s’ da ase a iables.
Table 6 – De ende s da a desc ip i e s a is ics
4.2.3 Mid ielde s
Mid ielde s da ase has 2442 obse a ions wi h a ound 1396 di e en playe s. On a e age, hey ha e
a 12,5 million eu os ma ke alue wi h a s anda d de ia ion o 16,9 million eu os. The maximum alue
o he playe s o his posi ion is 180 million eu os. Mid ielde s achie ed on a e age 0,001 assis s, did
0,0139 ackles and played 0,079 c osses pe minu e and season. The playe s om his posi ion won an
a e age o 0,06 de ensi e duels and 0,05 o ensi e duels pe minu e and season. The ollowing able
Va iable
Measu emen
Mean
Median
S anda d
De ia ion
Min
Max
Ma ke alue
Million Eu os
6,419
4
6,965
0,050
35
Co ec passes pe minu e
To al p.m.s.
0,169
0,160
0,050
0,0656
0,375
De ensi e duels won pe
minu e
To al p.m.s.
0,014
0,001
0,025
0
0,098
Ae ials duels won pe minu e
To al p.m.s.
0,003
0,004
0,005
0
0,012
S ops pe minu e
To al p.m.s.
0,719
0,690
0,367
0,077
1,734
Concei ed goals pe minu e
To al p.m.s.
0,015
0,015
0,004
0,005
0,030
Games wi hou concei ing
goals
Games p.s.
5,634
5
3,767
0
18
Fouls pe minu e
To al p.m.s
0,014
0
0,024
0
0,096
P e en ed goals pe minu e
To al p.m.s.
0
0
0,003
-0,009
0,009
Exis s pe minu e
To al p.m.s.
0,015
0,015
0,005
0
0,037
To al p.m.s. – To al pe minu e and season; Games p.s. – Games pe season; N = 421
Va iable
Measu emen
Mean
Median
S anda d
De ia ion
Min
Max
Ma ke alue
Million Eu os
9,099
4
12,477
0
110
Co ec passes pe minu e
To al p.m.s.
0,446
0,411
0,167
0,133
1,472
De ensi e duels won pe
minu e
To al p.m.s.
0,051
0,048
0,018
0,015
0,164
Ae ials duels won pe minu e
To al p.m.s.
0,023
0,021
0,013
0
0,155
Tackles pe minu e
To al p.m.s.
0,009
0,005
0,017
0
0,142
In e cep ed shoo s pe minu e
To al p.m.s.
0,010
0,005
0,020
0
0,174
Fouls pe minu e
To al p.m.s.
0,013
0,012
0,007
0
0,084
Goals pe minu e
To al p.m.s
0
0
0
0
0,008
Assis s pe minu e
To al p.m.s.
0
0
0
0
0,007
Shoo s on a ge pe minu e
To al p.m.s.
0,002
0,001
0,001
0
0,010
Success c osses pe minu e
To al p.m.s.
0,009
0,005
0,014
0
0,130
Success d ibbles pe minu e
To al p.m.s.
0,012
0,007
0,015
0
0,200
O ensi e duels won pe
minu e
To al p.m.s.
0,019
0,014
0,018
0
0,322
Accele a ions pe minu e
To al p.m.s.
0,013
0,006
0,020
0
0,176
To al p.m.s. – To al pe minu e and season; N = 2497

12
shows in de ail he mean, median, s anda d de ia ion, minimum and maximum alue o he o he
pe o mance indica o s and he nume ical a iables.
Table 7 – Mid ielde s da a desc ip i e s a is ics
4.2.4 A acke s
This subse is composed by 1118 obse a ions and 663 di e en a acke s. These playe s ha e a
ans e ma ke alue a e age o 16 million. The maximum alue is 200 million eu os, he highes
conside ing all posi ion g oups. On a e age hey sco ed 0,0036 goals pe minu e and execu ed 0,0103
shoo s pe minu e. These playe s usually win 0,06 o ensi e duels pe minu e and de elop 0,02
accele a ions pe minu e. These and o he nume ical measu es a e shown in he succeeding able.
Table 8 – A acke s da a desc ip i e s a is ics
Va iable
Measu emen
Mean
Median
S anda d
De ia ion
Min
Max
Ma ke alue
Million Eu os
12,466
6
16,888
0
180
Co ec passes pe minu e
To al p.m.s.
0,491
0,440
0,221
0,094
2,152
De ensi e duels won pe
minu e
To al p.m.s.
0,057
0,052
0,024
0,011
0,199
Ae ials duels won pe minu e
To al p.m.s.
0,017
0,013
0,014
0
0,127
Tackles pe minu e
To al p.m.s.
0,014
0,006
0,0247
0
0,185
In e cep ed shoo s pe minu e
To al p.m.s.
0,018
0,002
0,038
0
0,267
Fouls pe minu e
To al p.m.s.
0,022
0,019
0,012
0
0,151
Goals pe minu e
To al p.m.s
0,001
0,001
0,001
0
0,010
Assis s pe minu e
To al p.m.s.
0,001
0,001
0,001
0
0,008
Shoo s on a ge pe minu e
To al p.m.s.
0,005
0,004
0,004
0
0,027
Success c osses pe minu e
To al p.m.s.
0,008
0,005
0,010
0
0,163
Success d ibbles pe minu e
To al p.m.s.
0,027
0,020
0,025
0
0,261
O ensi e duels won pe
minu e
To al p.m.s.
0,051
0,043
0,036
0,003
0,368
Accele a ions pe minu e
To al p.m.s.
0,018
0,013
0,018
0
0,166
To al p.m.s. – To al pe minu e and season; N = 2442
Va iable
Measu emen
Mean
Median
S anda d
De ia ion
Min
Max
Ma ke alue
Million Eu os
16,076
7
24,140
0
200
Co ec passes pe minu e
To al p.m.s.
0,288
0,246
0,152
0,075
1,272
De ensi e duels won pe
minu e
To al p.m.s.
0,035
0,029
0,023
0,002
0,203
Ae ials duels won pe minu e
To al p.m.s.
0,036
0,025
0,036
0
0,289
Tackles pe minu e
To al p.m.s.
0,030
0,027
0,016
0,004
0,125
In e cep ed shoo s pe minu e
To al p.m.s.
0,024
0,002
0,045
0
0,272
Fouls pe minu e
To al p.m.s.
0,025
0,021
0,017
0
0,130
Goals pe minu e
To al p.m.s
0,130
0,003
0,002
0
0,017
Assis s pe minu e
To al p.m.s.
0,001
0,001
0,001
0
0,009
Shoo s on a ge pe minu e
To al p.m.s.
0,010
0,010
0,004
0
0,031
Success c osses pe minu e
To al p.m.s.
0,007
0,004
0,014
0
0,255
Success d ibbles pe minu e
To al p.m.s.
0,029
0,023
0,024
0
0,231
O ensi e duels won pe
minu e
To al p.m.s.
0,061
0,053
0,035
0,006
0,317
Accele a ions pe minu e
To al p.m.s.
0,016
0,011
0,020
0
0,254
To al p.m.s. – To al pe minu e and season; N = 1118
13
5. Resul s
In o de o decide which model o use o each da ase , we pe o med he Hausman Tes . This es
esul s show he exis ence o endogenei y o all g oup posi ions (see he ollowing able), and o his
eason he null hypo hesis can be ejec ed. Consequen ly, we an he FE eg ession o he exis ing
da ase s.
Table 9 – Hausman Tes esul s pe Posi ion G oup
Posi ion G oup
p- alue
Chi-Squa ed
Deg ees o F eedom
Goalkeepe s
< 0,00001
64,986
11
De ende s
< 0,00001
196,714
14
Mid ielde s
1,00
-4452,986
14
A acke s
< 0,00001
771,249
14
5.1 GOALKEEPERS
A e pe o ming he FE eg ession wi h he ime (seasons) and en i y e ec s (playe s’ id), he esul s
exp essed ha he es ima ed a iables coe icien s a e no s a is ically signi ican . As we e i y in he
model esul s, he p- alue a iables a e highe han 0,05 o a 95% o con idence, which means ha
he goalkeepe s pe o mance indica o s selec ed do no ha e in luence on he ans e ma ke alue
o goalkeepe s. Al hough, he same si ua ion does no occu o he a iable games wi hou concei ing
goals. FE model esul s e eal ha an inc ease o one game wi hou concei ing a goal will lead o a
20% o inc easing in he playe ans e ma ke alue. This coe icien alue demons a es a posi i e
co ela ion be ween his pe o mance indica o and he ans e ma ke alue. The coe icien and
espec i e p- alue o each a iables a e illus a ed in he ollowing able.
Table 10 – Fixed E ec eg ession esul s ime and en i y e ec s o Goalkeepe s
Pe o mance Indica o
Coe icien
P- alue
Co ec Passes pe minu e
2,0131
0,7866
De ensi e Duels won pe minu e
7,3178
0,3881
Ae ial Duels won pe minu e
102,08
0,5683
S ops pe minu e
1,2767
0,2223
Concei ed Goals pe minu e
-41,544
0,6107
Fouls pe minu e
15,417
0,0943
Exi s pe minu e
-79,322
0,3363
Games wi hou concei ing goals
0,2099
0,0447
The o he s s a ic panel da a models’ esul s can be obse ed in Appendix 4.
5.2 DEFENDERS
The FE eg ession esul s wi h ime and en i y e ec s (de ende and season yea ) illus a e ha he
mos pa o he a iables do no ha e signi ican in luence on he ans e ma ke alue o he
de ende playe s. Al hough, he same does no occu o he a iables co ec passes, de ensi e duels
won, ae ials duels won and shoo s on a ge pe minu e. All hese a iables show a p- alue lowe han
0,05 and as consequence, an in luence on he dependen a iable unde obse a ion. The esul s
14
demons a e ha an inc emen o one co ec pass pe minu e will lead o a ise o ou million eu os
in he de ende ma ke alue. As An e (2019) e e ed, his s udy also demons a es a posi i e
co ela ion be ween his pe o mance indica o and he de ende s’ ma ke alue.
The coe icien s o he de ensi e and ae ial duels won pe minu e e eal a con adic o y esul .
Acco ding o he model esul s, an inc emen o one de ensi e duel won pe minu e will lead o a
dec ease o 38 million eu os in he playe ans e ma ke alue. The same happens o he ae ial duels
won pe minu es, e ealing a nega i e co ela ion wi h he playe ans e ma ke , con a ily o wha
was e e ed by An e (2019). Conside ing he posi ion unde analysis, hese esul s do no di ulge he
expec ed ou pu . This model also sugges s ha an inc emen o one shoo on a ge by minu e by a
de ensi e playe , will lead o a gain o 363 million eu os in he ans e ma ke alue o he de ensi e
playe s. The coe icien s and espec i e p- alue a e illus a ed in he ollowing able.
Table 11 – Fixed e ec s eg ession esul s ime and en i y o De ende s
Pe o mance Indica o
Coe icien
P- alue
Co ec Passes pe minu e
4,2284
0,0025
De ensi e Duels won pe minu e
-38,773
0,0029
Ae ial Duels won pe minu e
-45,073
0,0269
Tackles pe minu e
11,820
0,1320
In e cep ed Shoo s pe minu e
6,1222
0,3667
Fouls pe minu e
-51,684
0,1166
Goals pe minu e
-235,05
0,3723
Assis s pe minu e
129,70
0,5198
Shoo s on Ta ge pe minu e
363,5
0,0081
Success C osses pe minu e
-5,1332
0,5990
Success d ibbles pe minu e
-17,175
0,2457
O ensi e duels won pe minu e
20,946
0,3488
Accele a ions pe minu e
9,6713
0,1749
The esul s o he o he panel da a models a e a ailable in Appendix 5.
5.3 MIDFIELDERS
The FE eg ession esul s expose some pe o mance indica o s wi h a signi ican in luence on he
mid ielde s ans e ma ke alue. Acco ding o hem and as expec ed, he goals and assis s ha e a
posi i e co ela ion wi h he a ge a iable. An inc emen o a goal pe minu e lead o he inc easing
o 941 million eu os in he mid ielde ma ke alue. The same inc emen le el on assis s pe minu e
e lec s on a gain o mo e han 880 million eu os in ma ke alue o he playe . This model also con i ms
he impo ance ha hese wo pe o mance measu es, pa icula ly he assis s pe minu e, ha e in he
mid ielde ole. Al hough, hese esul s demons a e ha he impac o goals in he mid ielde s’
ans e ma ke is highe compa ing o assis s pe minu e. Thus, as Simmons (2003) e e ed o
a acke s, he same e i y o mid ielde s. Ano he a iable ha ha e a posi i e co ela ion wi h he
playe ans e alue is he o ensi e duels won pe minu e. Con a ily, he success d ibbles pe minu e
a ec nega i ely he ans e ma ke alue o a mid ielde om he op six Eu opean oo ball leagues.
The coe icien s a e exposed in he ollowing able.
15
Table 12 – Fixed e ec s eg ession esul s ime and en i y o Mid ielde s
Pe o mance Indica o
Coe icien
P- alue
Co ec Passes pe minu e
-2,2917
0,1370
De ensi e Duels won pe minu e
-19,004
0,1761
Ae ial Duels won pe minu e
-28,059
0,2594
Tackles pe minu e
7,2534
0,3075
In e cep ed Shoo s pe minu e
4,4108
0,3767
Fouls pe minu e
-47,086
0,0945
Goals pe minu e
941,29
0
Assis s pe minu e
883,26
0
Shoo s on Ta ge pe minu e
120,24
0,1940
Success C osses pe minu e
24,504
0,2966
Success d ibbles pe minu e
-82,695
0,0174
O ensi e duels won pe minu e
54,014
0,0310
Accele a ions pe minu e
-15,269
0,1827
The o he esul s can be consul ed in he Appendix 6.
5.4 ATTACKERS
Acco ding o he esul s o he FE eg ession, only one a iable has impac on he ans e ma ke alue
om he a acke s’ playe s ha ing a signi icance le el highe han 0,05 o a 95% o con idence. The
a iable is he a acke s’ pe o mance measu e mo e aluable: goals pe minu e. Acco ding o he
eg ession, his measu e has a posi i e co ela ion wi h he a ge a iable. An inc emen o one goal
pe minu e conduc s o aise o mo e han 640 million eu os in he playe ma ke alue. This esul
highligh s he impo ance o his measu e in he ma ke alue o he playe s o his posi ion g oup
con i ming he esul s p oduced by p e ious esea ches (Ca michael e al., 1999; B yson e al., 2012;
Ca michael & Thomas, 1993; Ge a d & Dobson, 2000; Luci o a & Simmons, 2003; Dobson e al., 2000).
The coe icien s o hese and o he pe o mance indica o s a e desc ibed in he ollowing able.
Table 13 – Fixed e ec s eg ession esul s ime and en i y o A acke s
Pe o mance Indica o
Coe icien
P- alue
Co ec Passes pe minu e
-6,7001
0,2704
De ensi e Duels won pe minu e
-54,444
0,1129
Ae ial Duels won pe minu e
-22,282
0,3813
Tackles pe minu e
-36,863
0,3698
In e cep ed Shoo s pe minu e
-3,6251
0,6147
Fouls pe minu e
-36,486
0,3673
Goals pe minu e
646,00
0,0049
Assis s pe minu e
362,94
0,2587
Shoo s on Ta ge pe minu e
-17,711
0,8984
Success C osses pe minu e
14,107
0,6552
Success d ibbles pe minu e
75,688
0,1974
O ensi e duels won pe minu e
21,744
0,5760
Accele a ions pe minu e
14,960
0,4422
The o he model esul s’ can be e i ied in he Appendix 7.
16
6. Conclusion
This s udy exposes he ela ionship be ween speci ic pe o mance indica o s and he ans e ma ke
alue conside ing he posi ion g oup ha oo ball playe s occupy in he pi ch. I also con i ms he
ela ionship be ween hese measu es and he playe s’ ma ke alue e e ed by p e ious esea ches
and in oduces new indica o s, ne e s udied be o e.
A e ga he ing da a om he op six Eu opean leagues in he las h ee seasons, we applied he Fixed
E ec s eg ession in o de o iden i y he coe icien s and he co ela ion be ween hese measu es and
he a ge a iable, he ans e ma ke alue. As we a e only conside ing speci ic oo ball leagues and
he oo ball ans e ma ke is dynamic, he da ase s used a e unbalanced.
Despi e he ac ha mos o he a iables e ealed a e s a is ically insigni ican , we e i ied ha some
in luence he ans e ma ke alue o he playe s. Fo goalkeepe s, we con i med ha he games
wi hou concei ing a goal ha e a posi i e co ela ion wi h hei ans e ma ke alue, inc easing i in
20%. Fo he i s ime, his esea ch conside ed he speci ici ies o his posi ion and p oduced he
eg ession model wi h pe o mance measu es adap ed o goalkeepe s’ cha ac e is ics.
Acco ding o he s udy esul s, he e is a posi i e co ela ion be ween he co ec passes and he
de ende s ma ke alue. This ou pu highligh s he impo ance o his indica o in he de ende playe
e alua ion and he impac ha hey ha e in he game cons uc ion. I is also con i med ha shoo s on
a ge pe minu e ha e a posi i e e ec in he ans e ma ke alue o de ende s. Con a y o wha
was expec ed, he esul s demons a e a nega i e co ela ion be ween he de ensi e and ae ials duels
won pe minu e and he playe ma ke alue.
Mid ielde s demons a e a posi i e co ela ion be ween hei ans e ma ke alue and he goals and
assis s pe minu e. Howe e , esul s co obo a e ha he goals pe minu e ha e a highe impac on
mid ielde s’ alue. O he measu e ha in luences posi i ely his alue is he o ensi e duels won pe
minu e. Ye , he success d ibbles pe minu e a ec nega i ely hei alue.
Finally, his s udy suppo s he impo ance o goals in he a acke s ans e alue. As s a ed in his
esea ch, an inc emen o a goal pe minu e inc eases in mo e han 600 million eu os he a acke
ans e ma ke alue.
The main limi a ions o his in es iga ion a e ela ed wi h he numbe o seasons analysed and oo ball
leagues conside ed. I was in e es ing o englobe in his esea ch o he Eu opean na ional leagues and
playe s’ da a om mo e han h ee seasons.
Foo ball is a collec i e spo whe e each playe has a speci ic ole. Fo his eason, u u e esea ch
should analyse he ela ionship be ween he pe o mance measu es and he speci ic posi ion om a
ce ain posi ion g oup. A s udy o his ype allows o in es iga e he exis ing di e ences be ween he
oles o , o ins ance, de ende s. The insigh s p oduced could help o dis inguish he ela ionship
be ween he pe o mance indica o s and he ans e ma ke o winge s o Cen e de ende s.
Ano he impo an componen migh be s udying he ela ionship be ween he ans e ma ke alue
and he popula i y measu es, like social ne wo k da a. In an age whe e oo ball clubs ac like
companies, wi h a s ong ma ke ing componen , he acquisi ion o a oo ball playe can ha e an impac
in comme cial ac i i ies.

17
E e y oo ball game is unp edic able, like some ans e s a e no comp ehensible o he de ou
suppo e s. Howe e , da a analy ics is becoming mo e ele an when i comes o p oduce insigh s ha
will hold he decisions o all s akeholde s in ol ed. This s udy is jus one mo e example ha in ends o
ein o ce he decisions o he agen s in ol ed in he oo ball ans e ma ke alue. The esul s
p oduced e eal o he oo ball clubs and oo ball agen s he impac o some pe o mance measu es
in he playe s’ ans e ma ke alue pe posi ion g oup suppo ing he decisions o signing a con ac
wi h a new oo ball playe .
18
7. Bibliog aphy
Ami , E., & Li ne, G. (2005). Accoun ing, Valua ion and Du a ion o Foo ball Playe Con ac s. Jou nal
o Business Finance & Accou ing, 32 (3) & (4), pp. 549-586.
An e, L., (2019). De e minan s o T ans e s Fees: E idence om he Fi e Majo Eu opean Foo ball
Leagues. 10.13140/RG.2.2.18356.91526/1.
B yson, A., F ick, B., & Simmons, R. (2012). The e u ns o sca ce alen : oo edness and playe
emune a ion in Eu opean socce . Jou nal o Spo s Economics, 14 (6), 606–628.
Ca ling, C., W igh , C., Nelson, L.J. and B adley, P.S. (2014) Commen on ‘Pe o mance analysis in
oo ball: A c i ical e iew and implica ions o u u e esea ch’. Jou nal o spo s sciences 32, 2-
7.
Ca michael, F., & Thomas, D. (1993). Ba gaining in he ans e ma ke : heo y and e idence. Applied
Economics, 25(12), 1467-1476.
Ca michael, F., Fo es , D., & Simmons, R. (1999). The labou ma ke in associa ion oo ball: who ge s
ans e ed and o how much? Bulle in o Economic Resea ch, 51 (2), 125–150.
Conn, D. (2020). Manches e Ci y banned om Champions League o wo seasons. The Gua dian.
Re ie ed Decembe 12, 2020 om
h ps://www. hegua dian.com/ oo ball/2020/ eb/14/manches e -ci y-banned- om-
champions-league- wo-seasons- p-ue a
Deloi e. (2020). Eye on he p ize Foo ball Money League. Deloi e Spo s Business G oup. Re ie ed
Decembe 12, 2020, om
h ps://www2.deloi e.com/con en /dam/Deloi e/uk/Documen s/spo s-business-
g oup/deloi e-uk-deloi e- oo ball-money-league-2020.pd .
Di Sal o, V., Ba on, R., Tschan, H., Calde on Mon e o, J., Bachl, N., Pigozzi, F., (2007). Pe o mance
Cha ac e is ics Acco ding o Playing Posi ion in Eli e Socce . In e na ional jou nal o spo s
medicine. 28. 222-7. 10.1055/s-2006-924294.
Diel , H. M, F anck, E. & Lang, M. (2008). Why Foo ball Playe s may bene i om he “Shadow o he
T ans e Sys em”. Eu opean Jou nal o Law and Economics, 26, pp. 129-151.
Dobson, S., Ge a d, B., & Howe, S. (2000). The de e mina ion o ans e ees in English nonleague
oo ball Applied Economics, 32(9), 1145-1152.
Fédé a ion In e na ionale de Foo ball Associa ion. (2019). Global T ans e Ma ke Repo 2019 (Men
P o essional Foo ball). Re ie ed Decembe , 12, 2020, om
h ps:// esou ces. i a.com/image/upload/global- ans e -ma ke - epo -2019-
men.pd ?cloudid=x2w qjs wjoailnncnod
Fédé a ion In e na ionale de Foo ball Associa ion. (2020). FIFA Membe Associa ions. Re ie ed
Decembe 12, 2020, om h ps://www. i a.com/associa ions/.
19
Feess, E., & Muehlheusse , G. (2003). The impac o ans e ees on p o essional spo s: an analysis o
he new ans e sys em o Eu opean oo bal Scandina ian Jou nal o Economics, 105(1), 139-
1.
Felipe, J. L. Fe nandez-Luna, A., Bu illo, P., de la Ri a, L. and Sánchez-Sánchez, J. and Ga cía-Unanue,
J. (2020). Money Talks: Team Va iables and Playe Posi ions ha Mos In luence he Ma ke
Value o P o essional Male Foo balle s in Eu ope. Sus ainabili y. 12. 3709. 10.3390/su12093709.
F anck, E., & Nüesch, S (2008). Mechanisms o Supe s a Fo ma ion in Ge man—Empi ical E idence.
Eu opean Spo Managemen Qua e ly, 8, 2008, 145–164.
F ick, B. (2007). The Foo ball Playe s' Labo Ma ke : Empi ical E idence om he Majo Eu opean
Leagues. Sco ish Jou nal o Poli ical Economy, 54(3), 422-446.
F y, T. R. L., Galanos, G., & Posso, A. (2014). Le ’s ge Messi? Top-sco e p oduc i i y in he Eu opean
Champions League. Sco ish Jou nal o Poli ical Economy, 61 (3), 261–279.
Ga cia-del-Ba io, P., & Pujol, F. (2007). Hidden monopsony en s in winne - ake-all ma ke s–Spo and
economic con ibu ion o Spanish socce playe s. Manage ial and Decision Economics, 28 (1),
57–70.
Ge a d, B., & Dobson, S. (20 0 0). Tes ing o monopoly en s in he ma ke o playing alen –E idence
om English p o essional oo bal Jou nal o Economic S udies, 27 (3), 142–164.
He, M., Cachucho, R., & Knobbe, A. (2015). Foo ball playe ’s pe o mance and ma ke alue. In
P oceedings o he 2nd wo kshop o spo s analy ics, Eu opean Con e ence on Machine Lea ning
and P inciples and P ac ice o Knowledge Disco e y in Da abases (ECML PKDD). Re ie ed Ma ch
14, 2017, om
h ps://www. esea chga e.ne /publica ion/321623604_Foo ball_playe 's_pe o mance_and_
ma ke _ alue.
Hend iks, I. (2017). Modelling he ans e p ices o oo ball playe s (Mas e 's hesis, Tilbu g School o
Economics and Managemen Tilbu g Uni e si y, Tilbu g, Ne he lands). Re ie ed om
h p://a no.u .nl/show.cgi? id=144559
He m, S., Callsen-B acke , H. M., & K eis, H. (2014). When he c owd e alua es socce playe s’ ma ke
alues: Accu acy and e alua ion a ibu es o an online communi y. Spo Managemen Re iew,
17(4), 484-492.
He old, M., Goes, F., Nopp, S., Baue , P., Thompson, C. and Meye , T. (2019) Machine lea ning in men’s
p o essional oo ball: Cu en applica ions and u u e di ec ions o imp o ing a acking play.
In e na ional Jou nal o Spo s Science & Coaching 1747954119879350.
Hughes, M., Caud elie , T., James, N., Redwood-B own, A., Donnelly, I., Ki kb ide, A., Duschesne, C.
(2012). Moneyball and socce - An analysis o he key pe o mance indica o s o eli e male socce
playe s by posi ion. Jou nal o Human Spo and Exe cise. 7. 10.4100/jhse.2012.72.06.
Kie e , S. (2014). The impac o he Eu o 2012 on popula i y and ma ke alue o oo ball playe s.
In e na ional Jou nal o Spo Finance, 9(2), 95-111.
20
Ki schs ein, T., Liebsche , S. (2018). Assessing he ma ke alues o socce playe s – a obus analysis
o da a om Ge man 1. and 2. Bundesliga. Jou nal o Applied S a is ics. 46. 1-14.
10.1080/02664763.2018.1540689.
Kue he, Todd & Mo amed, Mesbah. (2009). Re u ns o S a dom: E idence om U.S. Majo League
Socce . Jou nal o Spo s Economics. 11. 567-579. 10.1177/1527002509354268.
Lehmann, E. E., & Schulze, G. (2008). Wha does i ake o be a s a ? The ole o pe o mance and he
media o Ge man socce playe s. Applied Economics Qua e ly, 54 (1), 59–70.
Lowe, S. & Aa ons, E. (2017). Neyma pledges o ‘coque he iles’ o PSG a e wo ld eco d £198m
mo e. Re ie ed Decembe 12, 2020, om
h ps://www. hegua dian.com/ oo ball/2017/aug/03/psg-neyma -buy-ou - ejec ed-la-liga-
ba celona
Luci o a, C., & Simmons, R. (2003). Supe s a e ec s in spo : e idence om I alian socce . Jou nal o
Spo s Economics, 4 (1), 35–55.
Magee, W. (2017). Fans a e al eady disconnec ed o m hei clubs – a summe o enzied ans e
hype in la ion only makes i wo se. Re ie ed Decembe 12, 2020 om
h ps://www.independen .co.uk/spo / oo ball/ ans e s/p emie -league-summe - ans e -
window- eco d-spending-ne -spend- omelu-lukaku-paul-pogba-a7853226.h ml
Medcal e, S. (2008). English league ans e p ices: is he e a acial dimension? A e-examina ion wi h
new da a. Applied Economics Le e s, 15(11), 865-867.
Mülle , O., Simons, A., Weinmann, M. (2017). Beyond C owd Judgmen s: Da a-d i en Es ima ion o
Ma ke Value in Associa ion Foo bal Eu opean Jou nal o Ope a ional Resea ch.
h ps://doi.o g/10.1016/j.ejo .2017.05.005
Op ean, V. B., Op ison T. (2014). Accoun ing o Socce Playe s: Capi aliza ion Pa adigm s.
Expendi u e. P ocedia Economics and Finance, 15, pp. 1647-1654.
Poli, R. M, Ra enelm L., Besson R. (2019). CIES Foo ball Obse a o y Mon hly Repo nº47 – Sep embe
2019 – Financial analysis o he ans e ma ke in he big 5 Eu opean leagues (2010-2019).
Re ie ed Decembe , 15, 2020, om h ps:// oo ball-obse a o y.com/IMG/si es/m /m 47/en/
Poli, R. M, Ra enelm L., Besson R. (2020). The eal impac o COVID on he oo ball playe s’ ans e
ma ke . Re ie ed Decembe , 15, 2020, om h ps:// oo ball-
obse a o y.com/IMG/si es/m /m 58/en/
Richau, L., Folle , F., F enge , M., Em ich, E. (2019). Pe o mance indica o s in oo ball: The impo ance
o ac ual pe o mance o he ma ke alue o oo ball playe s, in: Sciamus - Spo und
Managemen 10(4), 41-67.
Rod iguez, Ma ibel. (2020). Fac o analysis o he ma ke alue o high-pe o mance playe s o h ee
majo Eu opean associa ion oo ball leagues. Managing Spo and Leisu e. 1-24.
10.1080/23750472.2020.1771197.
Ruijg, J., Ophem, H. (2015). De e minan s o oo ball ans e s. Applied Economic Le e s, 22:1, 12-19.
27
# S o e alues o checking homoskedas ici y g aphically
i ed als_pooled_OLS = pooledOLS_ es.p edic (). i ed_ alues
esiduals_pooled_OLS = pooledOLS_ es. esids
# 3A. Homoskedas ici y
impo ma plo lib.pyplo as pl
# 3A.1 Residuals-Plo o g owing Va iance De ec ion
ig, ax = pl .subplo s()
ax.sca e ( i ed als_pooled_OLS, esiduals_pooled_OLS, colo = 'blue')
ax.axhline(0, colo = ' ', ls = '--')
ax.se _xlabel('P edic ed Values', on size = 15)
ax.se _ylabel('Residuals', on size = 15)
ax.se _ i le('Homoskedas ici y Tes ', on size = 30)
pl .show() ## PLOT - HOMOSKEDASTICITY TEST
om s a smodels.s a s.diagnos ic impo he _whi e, he _b euschpagan
pooled_OLS_da ase = pd.conca ([da ase , esiduals_pooled_OLS], axis=1)
pooled_OLS_da ase = pooled_OLS_da ase .d op(['START_SEASON_YEAR'], axis = 1). illna(0)
exog = sm. ools. ools.add_cons an (da ase [[
'PLAYER_CORRECT_PASSES_PER_MINUTE',
'PLAYER_DEFENSIVE_DUELS_WON_PER_MINUTE',
'PLAYER_AERIEALS_WON_PER_MINUTE',
'PLAYER_TACKLES_PER_MINUTE',
'PLAYER_INTERCEPTED_SHOOTS_PER_MINUTE',
'PLAYER_FOULS_PER_MINUTE',
'PLAYER_GOALS_PER_MINUTE',
'PLAYER_ASSISTS_PER_MINUTE',
'PLAYER_SHOOTS_ON_THE_TARGET_PER_MINUTE',
'PLAYER_SUCCESS_CROSSES_PER_MINUTE',
'PLAYER_SUCCESS_DRIBLES_PER_MINUTE',
'PLAYER_OFFENSIVE_DUELS_WON_PER_MINUTE',
'PLAYER_ACCELARATIONS_PER_MINUTE'
]]). illna(0)
# B eusch-Pagan-Tes
b eusch_pagan_ es _ esul s = he _b euschpagan(pooled_OLS_da ase [' esidual'], exog)
labels = ['BPT LM-S a ', 'BPT LM p- al', 'BPT F-S a ', 'BPT F p- al']
#p in (dic (zip(labels, b eusch_pagan_ es _ esul s))) ## BREUSH-PAGAN TEST RESULT
# Non-Au oco ela ion # Du bin-Wa son-Tes
om s a smodels.s a s.s a ools impo du bin_wa son
du bin_wa son_ es _ esul s = du bin_wa son(pooled_OLS_da ase [' esidual'])
p in (du bin_wa son_ es _ esul s) ## DURBIN-WATSON TEST RESULT
# FE und RE model - h ps:// owa dsda ascience.com/a-guide- o-panel-da a- eg ession- heo e ics-and-
implemen a ion-wi h-py hon-4c84c5055c 8
om linea models impo PanelOLS
om linea models impo RandomE ec s
exog = sm. ools. ools.add_cons an (da ase [['PLAYER_CORRECT_PASSES_PER_MINUTE',
'PLAYER_DEFENSIVE_DUELS_WON_PER_MINUTE',
'PLAYER_AERIEALS_WON_PER_MINUTE',
'PLAYER_TACKLES_PER_MINUTE',
'PLAYER_INTERCEPTED_SHOOTS_PER_MINUTE',
'PLAYER_FOULS_PER_MINUTE',
'PLAYER_GOALS_PER_MINUTE',
'PLAYER_ASSISTS_PER_MINUTE',
'PLAYER_SHOOTS_ON_THE_TARGET_PER_MINUTE',
'PLAYER_SUCCESS_CROSSES_PER_MINUTE',
'PLAYER_SUCCESS_DRIBLES_PER_MINUTE',
'PLAYER_OFFENSIVE_DUELS_WON_PER_MINUTE',
'PLAYER_ACCELARATIONS_PER_MINUTE']])
endog = da ase ['PLAYER_MARKET_VALUE_EUROS']
# FIXED EFFECT
# ENTITY AND TIME EFFECTS
model_ e = PanelOLS(endog, exog, en i y_e ec s = T ue, ime_e ec s = T ue)
e_ es = model_ e. i ()
#p in ( e_ es)
# RANDOM EFFECT
model_ e = RandomE ec s(endog, exog)
e_ es = model_ e. i ()
p in ( e_ es)
# Hauman-Tes
impo numpy.linalg as la
om scipy impo s a s

28
# HAUSMAN TEST
de hausman( e, e):
b = e.pa ams
B = e.pa ams
_b = e.co
_B = e.co
d = b[np.abs(b) < 1e8].size
chi2 = np.do ((b - B).T, la.in ( _b - _B).do (b - B))
p al = s a s.chi2.s (chi2, d )
e u n chi2, d , p al
hausman_ esul s = hausman( e_ es, e_ es)
p in ('chi-Squa ed: ' + s (hausman_ esul s[0]))
p in ('deg ees o eedom: ' + s (hausman_ esul s[1]))
p in ('p-Value: ' + s (hausman_ esul s[2]))
29
8.4 APPENDIX 4
Panel Da a Model Resul s o Goalkeepe s
Pooled OLS
Fixed E ec s
Random E ec s
Pe o mance Indica o
Coe icien
P- alue
Coe icien
P- alue
Coe icien
P- alue
Co ec Passes pe minu e
11,804
0,0617
20,131
0,7866
10,129
0,0647
De ensi e Duels won pe minu e
31,118
0,0424
73,178
0,3881
20,117
0,0132
Ae ial Duels won pe minu e
-123,26
0,5162
102,08
0,5683
-2,8656
0,9855
S ops pe minu e
2,5363
0,0314
12,767
0,2223
1,1651
0,1632
Concei ed Goals pe minu e
-294,47
0,0022
-41,544
0,6107
-127,78
0,0634
Fouls pe minu e
6,6595
0,5698
15,417
0,0943
16,265
0,0589
Exi s pe minu e
-213,36
0,0034
-79,322
0,3363
-153,62
0,0196
Games wi hou concei ing goals
0,2555
0,0844
0,2099
0,0447
0,2235
0,0164
8.5 APPENDIX 5
Panel Da a Model Resul s o De ende s
Pooled OLS
Fixed E ec s
Random E ec s
Pe o mance Indica o
Coe icien
P- alue
Coe icien
P- alue
Coe icien
P- alue
Co ec Passes pe minu e
28,513
0
42,284
0,0025
12,674
0
De ensi e Duels won pe minu e
-115,59
0
-38,773
0,0029
-58,023
0
Ae ial Duels won pe minu e
-6,0677
0,806
-45,073
0,0269
-23,23
0,1441
Tackles pe minu e
8,1152
0,5909
11,820
0,1320
14,742
0,069
In e cep ed Shoo s pe minu e
13,25
0,1884
61,222
0,3667
6,8716
0,3008
Fouls pe minu e
-269,92
0
-51,684
0,1166
-158,82
0
Goals pe minu e
1151,6
0,0044
-235,05
0,3723
255,31
0,3211
Assis s pe minu e
1751,8
0,0022
129,70
0,5198
690,84
0,0004
Shoo s on Ta ge pe minu e
759,86
0,0004
363,5
0,0081
529,61
0
Success C osses pe minu e
-9,0257
0,5416
-51,332
0,5990
-5,3771
0,5789
Success d ibbles pe minu e
-47,641
0,0005
-17,175
0,2457
-26,931
0,557
O ensi e duels won pe minu e
45,853
0,0337
20,946
0,3488
23,702
0,1418
Accele a ions pe minu e
9,2964
0,4146
96,713
0,1749
8,732
0,2106
30
8.6 APPENDIX 6
Panel Da a Model Resul s o Mid ielde s
Pooled OLS
Fixed E ec s
Random E ec s
Pe o mance Indica o
Coe icien
P- alue
Coe icien
P- alue
Coe icien
P- alue
Co ec Passes pe minu e
25,201
0
-2,917
0,1370
9,6799
0
De ensi e Duels won pe minu e
-85,02
0
-19,004
0,1761
-40,89
0,001
Ae ial Duels won pe minu e
-1,5784
0,9502
-28,059
0,2594
-45,692
0,0167
Tackles pe minu e
7,5092
0,6074
72,534
0,3075
5,4408
0,4398
In e cep ed Shoo s pe minu e
0,9552
0,929
44,108
0,3767
5,867
0,2263
Fouls pe minu e
-221,29
0
-47,086
0,0945
-148,73
0
Goals pe minu e
2439,2
0
941,29
0
1515,3
0
Assis s pe minu e
2266
0
883,26
0
1269,1
0
Shoo s on Ta ge pe minu e
486
0,0057
120,24
0,1940
245,57
0,0042
Success C osses pe minu e
-180,23
0,0001
24,504
0,2966
-26,985
0,2224
Success d ibbles pe minu e
90,949
0,0772
-82,695
0,0174
-17,481
0,5672
O ensi e duels won pe minu e
-68,955
0,0493
54,014
0,0310
10,178
0,6352
Accele a ions pe minu e
-24,327
0,1432
-15,269
0,1827
-19,865
0,0796
8.7 APPENDIX 7
Panel Da a Model Resul s o A acke s
Pooled OLS
Fixed E ec s
Random E ec s
Pe o mance Indica o
Coe icien
P- alue
Coe icien
P- alue
Coe icien
P- alue
Co ec Passes pe minu e
28,694
0,0001
-6,7001
0,2704
19,22
0
De ensi e Duels won pe minu e
-133,1
0,0009
-54,444
0,1129
-113,05
0,0001
Ae ial Duels won pe minu e
-23,077
0,1381
-22,282
0,3813
-39,119
0,0311
Tackles pe minu e
-80,057
0,0905
-36,863
0,3698
-60,854
0,0966
In e cep ed Shoo s pe minu e
-0,4787
0,9648
-36,251
0,6147
-0,6376
0,9314
Fouls pe minu e
-214,45
0
-36,486
0,3673
-97,245
0,0072
Goals pe minu e
1169,3
0,0097
646,00
0,0049
697,58
0,0024
Assis s pe minu e
3407,7
0
362,94
0,2587
1262,6
0,0001
Shoo s on Ta ge pe minu e
1356,5
0
-17,711
0,8984
526,16
0,0001
Success C osses pe minu e
-63,512
0,0256
14,107
0,6552
5,1267
0,8622
Success d ibbles pe minu e
214,53
0,0036
75,688
0,1974
180,22
0,0003
O ensi e duels won pe minu e
-105,84
0,0357
21,744
0,5760
-76,851
0,025
Accele a ions pe minu e
21,796
0,3418
14,960
0,4422
12,501
0,5208
Page | i