ࡱ> z  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy{|}~RdO)tx:PowerPoint Document(SummaryInformation(>DocumentSummaryInformation84( / 0DArial Pro W30 @H0n@fD-3 00000o W30 @H0n@f DTimes New Roman0 @H0n@f0DTimesNew Roman0 @H0n@f@DBatangew Roman0 @H0n@fPD0000҉0 Pro W3n0 @H0n@f ` .  @n?" dd@  @@`` .&XM     S  e 1Y +Y )@buʚ;2Nʚ;g4kdkdnPppp@  <4BdBdʚ;a___PPT10xx     p     `   X  p     8P 0 0 (*___PPT9                      p 0`Dt Ph___PPT2001D<4XPT___PPTMac11*T@f   hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography M    hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography, @   hnamd` Arial&Monotype Typography l   hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography, |   hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography   pnamdhHiragino Kaku Gothic Pro W3Dainippon Screen Mfg. Co., Ltd.   pnamdhHiragino Kaku Gothic Pro W3Dainippon Screen Mfg. Co., Ltd.     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography  <   hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography, x   hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography,    hnamd` Arial&Monotype Typography, 0   hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography  H   hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography    ,namd$ MS PGothic   ,namd$ MS PGothic   ,namd$ MS PGothic  ? ,O =5IPM 45: Studying Variability through Sports Phenomena 65 +YDiscussion of papers by Steve Clarke - Swinburne, Australia Tim Swartz - Simon Fraser, Canada Phil Everson - Swarthmore, U.S.A. Yamaguchi, Sakaori, Watanabe - Rikko, Chuo, Toyo, Japan"  e   e e $$((e,,004488P' Y MClarke: Studying Variability in Statistics via Performance Measures in Sport0N g g  g  g g g g   g  $g$  (g( ,g, 0g0 4e4cVariability - why is it important? Reproducibility of Apparent Effects Estimation, Hypothesis Testing (not Description) Inherently of Interest to Context Golf: 12th hole at Augusta Masters - par 3 key hole because of variability Triathlon: Equal Weighted Components? SD Sports Interest Motivates Interest in Variability Interest in Descriptive Stats #Z$Z1Z"ZxZZ7Z"e$1 "7* $$e5((e,,PI7 Clarke: Simulation Example(The Karrie Webb golf example: estimating chance of record being broken, unprecedented event & Data + Simulation is an underutilized method for data analysis - we should teach it in early stat courses. e4   eF  $$((>?lMClarke: Studying Variability in Statistics via Performance Measures in Sport0N g g  g  g g g g   g  $g$  (g( ,g, 0g0 4e4Overall & Sports Examples for Interest in Variability Importance of Descriptive Statistics Power of Simulation for Data AnalaysislZ ,  %&$^  0Swartz: A graduate course in Statistics in Sport10(Advanced Statistical Methods But context is fairly straightforward (in sport) Unfamiliar (to some) Sports Contexts Like typical consulting experience Case Study Approach  process course Discussion/Communication Emphasis Seminar discussion and student presentations Active Student Involvement Best practice for useful learningZ1Z%Z#ZZZ"Z-ZZ"Z1%#  "-  "$$ > Everson: Teaching Regression Using American Football Scores <?$<(>Motivation of Real Data (768 games) Effects of Randomness in Sport  lucky winner Regression for Prediction Not just  curve fitting Subjective Probabilities Justified Bookie s probability guesses accurate Nice Use of Graphics (Spread N(0,13))CZZZZ#Z&Z&ZC #&&o ]Yamaguchi, Sakaori, Watanabe: "A Trial of Statistical Education using Sports Data in Japan" r^=  ( L4Social Science students math-phobic Use interest in baseball to motivate Show pitch types can be counted, and be studied numerically (fast ball, slider,..) Distributions and Mixtures of Distr ns Causality Lesson: Home Run rate and Strike out rate correlated, obviously not causal PJ" ZZJS}  ,Hq WSession SummarySports provide examples of Focus on variability & simulation Case studies for graduate education Gamblers need regression Distributions exist without mathj" ")$)  ) )b!  , Summary Summary# Use Sports Examples to Motivate!T!!   !/   ` 33` Sf3f` 33g` f` www3PP` ZXdbmo` \ғq>9y`Ӣ` 3f3ff` 3f3FKf` hk]wwwfܹ` ff>>\`Y{ff` R>&- {p_/̴>?" dd@,|?" dd@   " @ ` n?" dd@   @@``PR    @ ` ` p>> ~( R[   0CT P ( T Click to edit Master title style! !  s *FT  ( RClick to edit Master text styles Second level Third level Fourth level Fifth level!     S  s *pMT `` ( P*   s *RT `  ( R*   s * XT `  ( R* H  0޽h ? 3380___PPT10.,ttr $Blank Presentation \T@(    s *@ P   ( P*    s *    ( R*  d  c $ ?  (  s *`  @ ( RClick to edit Master text styles Second level Third level Fourth level Fifth level!     S  0P `P  ( P*    0 `  ( R*  H  0޽h ? 3380___PPT10.,t$  0~( ad/< >atid/< >tc l  C T7@Pp ( l  C P|P` ( ^  6` LDH___PPT10( f___PPT9H@~___PPTMac11XP   hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography  .Discussant: Larry Weldon, Simon Fraser, Canada8/ e  H  0޽h ? 33___PPT10u.,t +D=' n= @B +   p D( AA  l  C `  (   C Q`<$<   H  0޽h ? 33___PPT10.,t{+ D^' p= @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* #%(D' =-o6Bdissolve*<3<* #D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* #G%(D' =-o6Bdissolve*<3<* #GD' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* Gx%(D' =-o6Bdissolve*<3<* GxD' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* x%(D' =-o6Bdissolve*<3<* xD' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* %(D' =-o6Bdissolve*<3<* D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* %(D' =-o6Bdissolve*<3<* D' =%(D(' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* -%(D' =-o6Bdissolve*<3<* -D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* -E%(D' =-o6Bdissolve*<3<* -ED@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* Ed%(D' =-o6Bdissolve*<3<* Ed+8+0+  +d    B:(  l  C  P  (   C P<$<   B  s *D ,$D,H  0޽h ? 33  ___PPT10 .,t +fD2 ' p= @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*^%(D' =-o6Bdissolve*<3<*^D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*^%(D' =-o6Bdissolve*<3<*^D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+#.<*%(+8+0+ +`   NF@( fitotacinoi @r @ S qP  (  @ S qp<$<   B @ s *D@0@,$D,H @ 0޽h ? 33___PPT10.,t{+߭5 D"' p= @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*@ %(D' =-o6Bdissolve*<3<*@ D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*@ 8%(D' =-o6Bdissolve*<3<*@ 8D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*@8]%(D' =-o6Bdissolve*<3<*@8]D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*@]%(D' =-o6Bdissolve*<3<*@]D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+#.<*@%(+8+0+@ +vE   h` (   l  C PxsP  (   C 0s<$<     0PsN $D ,___PPT10     &___PPT9     ___PPTMac11   hnamd` Arial&Monotype Typography  ,namd$ MS PGothic  ,namd$ MS PGothic  ,namd$ MS PGothic    hnamd` Arial&Monotype Typography  ,namd$ MS PGothic    hnamd` Arial&Monotype Typography  ,namd$ MS PGothic  ,namd$ MS PGothic    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography  v Overall & Sports Contexts make cases interesting to many students Case Study Course is particularly suited to graduate courses Complexity can be designed to suit student level  7  =0  $$((,,004488<<6B<8B  s *D,$D,H  0޽h ? 33--___PPT10-.,t+ID,' p= @B D,' = @BA?%,( < +O%,( < +D8' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* %(D' =-o6Bdissolve*<3<* D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* N%(D' =-o6Bdissolve*<3<* ND8' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* Ns%(D' =-o6Bdissolve*<3<* NsD@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* s%(D' =-o6Bdissolve*<3<* sD8' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* %(D' =-o6Bdissolve*<3<* D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* %(D' =-o6Bdissolve*<3<* D8' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* %(D' =-o6Bdissolve*<3<* D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* %(D' =-o6Bdissolve*<3<* D8' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* %%(D' =-o6Bdissolve*<3<* %D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* %G%(D' =-o6Bdissolve*<3<* %GD ' =%(D' =%(D\' =A@BB BB0B@ A%(D' =1:Bvisible*o3>+#.<* %(D' =-o6Bdissolve*<3<* D ' =%(D' =%(D\' =A@BB BB0B@ A%(D' =1:Bvisible*o3>+#.<*  %(D' =-o6Bdissolve*<3<*  D ' =%(D' =%(D\' =A@BB BB0B@ A%(D' =1:Bvisible*o3>+#.<* E%(D' =-o6Bdissolve*<3<* ED ' =%(D' =%(D\' =A@BB BB0B@ A%(D' =1:Bvisible*o3>+#.<* F%(D' =-o6Bdissolve*<3<* FD ' =%(D' =%(D\' =A@BB BB0B@ A%(D' =1:Bvisible*o3>+#.<* %(D' =-o6Bdissolve*<3<* D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+#.<* %(+p+0+  ++0+  +>   :2$(  09.)"MH<2d $l $ C wP  (  $ C `wp<$<    $ c $wP7}p $D ,< ___PPT10h`   ___PPT9    ___PPTMac11     hnamd` Arial&Monotype Typography  ,namd$ MS PGothic  ,namd$ MS PGothic    hnamd` Arial&Monotype Typography  ,namd$ MS PGothic    hnamd` Arial&Monotype Typography  ,namd$ MS PGothic  ,namd$ MS PGothic  ,namd$ MS PGothic    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography  $ Overall & Real Data Set Demonstrating Utility of Regression Illustrating Subjective Probability In Widely-Followed Sports Context   $$!  $$((,,@2.#B $ s *D,$D,H $ 0޽h ? 33:,2,___PPT10,.,t+Dj+' p= @B D%+' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*$$%(D' =-o6Bdissolve*<3<*$$D8' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*$$C%(D' =-o6Bdissolve*<3<*$$CD@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*$CR%(D' =-o6Bdissolve*<3<*$CRD8' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*$Rl%(D' =-o6Bdissolve*<3<*$RlD@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*$l%(D' =-o6Bdissolve*<3<*$lD8' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*$%(D' =-o6Bdissolve*<3<*$D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*$%(D' =-o6Bdissolve*<3<*$D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*$%(D' =-o6Bdissolve*<3<*$D ' =%(D' =%(D\' =A@BB BB0B@ A%(D' =1:Bvisible*o3>+#.<*$%(D' =-o6Bdissolve*<3<*$D ' =%(D' =%(D\' =A@BB BB0B@ A%(D' =1:Bvisible*o3>+#.<*$%(D' =-o6Bdissolve*<3<*$D ' =%(D' =%(D\' =A@BB BB0B@ A%(D' =1:Bvisible*o3>+#.<*$%(D' =-o6Bdissolve*<3<*$D ' =%(D' =%(D\' =A@BB BB0B@ A%(D' =1:Bvisible*o3>+#.<*$A%(D' =-o6Bdissolve*<3<*$AD ' =%(D' =%(D\' =A@BB BB0B@ A%(D' =1:Bvisible*o3>+#.<*$Ae%(D' =-o6Bdissolve*<3<*$AeD ' =%(D' =%(D\' =A@BB BB0B@ A%(D' =1:Bvisible*o3>+#.<*$e%(D' =-o6Bdissolve*<3<*$eD4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+#.<*$%(+p+0+$ ++0+$ +#     4* ( LTlppacasu 4l 4 C P  (  4 C P <$<   P 4 c $P   $D,| h___PPT10H@___PPT9V___PPTMac110(   hnamd` Arial&Monotype Typography  ,namd$ MS PGothic  ,namd$ MS PGothic    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography  D Overall & Use Audience Interest in Sport to Motivate Stats Ed. r ; 5  $)B 4 s *D p ,$D,H 4 0޽h ? 33___PPT10.-th+ZGD' p= @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*4$%(D' =-o6Bdissolve*<3<*4$D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*4$J%(D' =-o6Bdissolve*<3<*4$JD' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*4J%(D' =-o6Bdissolve*<3<*4JD' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*4%(D' =-o6Bdissolve*<3<*4D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*4%(D' =-o6Bdissolve*<3<*4D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*4%(D' =-o6Bdissolve*<3<*4D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+#.<*4%(+p+0+4 ++0+4 +   H.( fitotacinoi Hl H C P ~P  (  H C p} ( "p`PpH H 0޽h ? 33___PPT10.-t+D' p= @B D' = @BA?%,( < +O%,( < +D;' =%(D' =%(D' =A@BBBB0B%(D' =,54 *3>!.='<*H>D' =,54 *3>=<*H>D' =,54 *3>#.=<*H>D' =1:B solid*a3>.<*H>D;' =%(D' =%(D' =A@BBBB0B%(D' =,54 *3>!.='<*H>bD' =,54 *3>=<*H>bD' =,54 *3>#.=<*H>bD' =1:B solid*a3>.<*H>bD;' =%(D' =%(D' =A@BBBB0B%(D' =,54 *3>!.='<*Hb{D' =,54 *3>=<*Hb{D' =,54 *3>#.=<*Hb{D' =1:B solid*a3>.<*Hb{D;' =%(D' =%(D' =A@BBBB0B%(D' =,54 *3>!.='<*H{D' =,54 *3>=<*H{D' =,54 *3>#.=<*H{D' =1:B solid*a3>.<*H{+8+0+H  +     L(  Ll L C 0XP  (  L C YPp<$<    L 6Pc 0 %  $,8___PPT10F___PPT9( V___PPTMac110(   hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography  E Thank you YH L 0޽h ? 33___PPT10.-te+1 D' p= @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*L$%(D' =-o6Bdissolve*<3<*L$D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*L%(D' =-o6Bdissolve*<3<*L+p+0+LT ++0+LT +"$ tlP( Q R  3    (r  # A @  (  H  0޽h ? 3380___PPT10.,t$"$ tl( Pv R  3    (r  # ~ @  (  H  0޽h ? 3380___PPT10.,t$"$ tl((  ltnc ltnc (R ( 3    (r ( # 0~ @  (  H ( 0޽h ? 3380___PPT10.-tP"$ tl,(  ,R , 3    (r , #  @  (  H , 0޽h ? 3380___PPT10.-tP"$ tl 0(  0R 0 3    (r 0 # ` @  (  H 0 0޽h ? 3380___PPT10.-tP"$ tl08(  8R 8 3    (r 8 # + @  (  H 8 0޽h ? 3380___PPT10.-tYg"$ xD( m7do1 DX D C    (x D 3 0 @  (  H D 0޽h ? 3380___PPT10.,t$"$ tl@P( ecca PR P 3    (r P # 7 @  (  H P 0޽h ? 3380___PPT10.-t` "$ tl`T( %=Pv TR T 3    (r T # N @  (  H T 0޽h ? 3380___PPT10.-t`cxp^RЀ3ÿ lHbP  @AL G@;b `B&V `h    (0'8IPM 45: Studying Variability through Sports PhenomenaLarry WeldonLarry Weldon19Microsoft PowerPoint@~j@rk@2G=PICT= HH HH  l C A \ \P A/ /     ++Y+M+++Y++++>+>+lYYYtYtYtY|YY YYA P A /A  /++dM+++++Y ++>Mn>+·lYYYYY YtYllYYY A PgA P * g\/ A/AP \ PA / /qq q/  g \++++Yd+ Y+M>++>+MMnw++++nM/++++nYd+++>M>++w+w++dnlt cYYY cttct$Y؊YcYԭYlYY/Y|YY؃c|YYYlYt||YYclA q A /A P P /)q A/ A\ qg .\ yPP/ ܑ A ++>Y+++ ++++d+*++M>++>++Md+++/+>+++ɕ+wMn+>+>κ>+lYY|ƃt lYYtY)YYtlccԸYYYYϢYtYlt.YYYcϸYYYYY|cA / gAy// A/ (g A/ / P / . q් A/PA\ A/ ++ ++ᮎ +++(بM+M+Mw++>>++-w+Ӯ++Ẏ+>+>+>·+nlY ctY|t YlY(ԢYYtllԗtcYYll-cYϭYllظYYYYYYtA AA/ A% A/ / P - ggA/ AA\ AP+++Mᜎ++d%M+M+>+>>++-++++++wn>+>+>Ύn>llllYlYlYl$YtllԐ|Yϝll-|YYllԽYYYYYYYYA A / /Pg * ggAA A y Pgq , A PyA/ / ב ++++++++*++>+>+YY++>>+++Y++++MM+>+>>++lllYlcYt)c|YYYYԳcYYYYϝYtl,YYcYllԝYY|YYYA PP/ P/ %P PP /P P\ A + / \/AAg \ P / P+++>++++%+Ύ++Y++M+>>M++Y++++>M++d>YY++>>>+>+ltlYl lYYctY lYtYYcYtYϢYYl+cYYtYtlYYclccYYYYYY  Pwd++tܐYEg  A  ++n+M++YYYY6ݐ w  A  >>+Y+Y>΢YYYA  q\ ͂ 򑑢+>>+MY +dM>ӢϝYYl YYY$ P /\\ gq gq P /Ay \/W / A 4 / y qP q \q g \y / $d+d+M+nd>Yw++>+>Y+M+n+w++w++w+++Ӵ++w:++MM++M+>++w++nY++>++d+M++>$YYYcYYlYc܃|YtlܨYcYYYtlYcYYYYYt5YtYcYYYYlYcYY|YYYؐtYYY$A g ȷ // AA g P ׷ ҽyP: q \ ȷ AP \P\/ $>+++wd+ӕ+++++++nMd+wd+Ӝ++>:+>YMd+++++wd+++M+>+Y+w$YYYYYclYԨYYYYY|YYt|lYY:YYYYtcYYYYYܗ|YYYϸYY#P A //Aȷ// A͑ g//͂ q: / g/AP /yȂ/ A/ P AAPA$>+++w+w+ć+d>++w+++5>+++ؕ++w>+++Y+Ẏ+$ϢcԢYYllYYԢc轃YYYYYltYcY6cYtYtYllYYϢYlltYlظY#P / y//Aȷ// // ‘gy//͊Ҋ P 2AA½/y/ A/ ½AA AA$M+++w+w+Y+>++ww++2>++敎M+w++MĿ+·+wn$ϢlԢYYllYYԢlcYYYYlt|YlYlY(ltYYԢlllƽlϽYY#A / P PA //P ܘA ׬ P//  3Agq /¬ P A/ /AA $+++d+Εd++++++M+d+Ε++2>+++ꕎMd++++d+·+M$llԢYYllYԢlY|Y|YYllYYl3YlYcltYYllԃYlϝY# A y \P / Aq AP  y \A A  "AA yAy \ PA APg \ $>+>>>++++M++>+>+Y+>+++++>++#M>++>+++M+·+d> YllآYYYttYlY䢨lY|YY lY|YY|tYtYltYlllYYlYYclʁ y+>YY1 +>+M+ɁYlYY( 833333333C333333333333333333333333333333333333333333 333333333333333333 33333333333 333333333333333333 33333333333  ܁3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333.3333333333 [eeeeeeeeeeeeeeeeeeeee<eeeeeeeeee eeeeee  -eeeeeeeeeeeee   eeeeeeeeee    [eeeeeeeeeeeeeeeee6eeeeeeeeeeeee    eeeeeeeeeee  eeeeeeee [eeeeeeeeeeeeeeeeeeeeeee-eee eeeeeeeeeeeeeee  -eeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeexeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee   ueeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeZeeeeeeeeeeeeeeeeeeeeeee   *eeeeeeeeeeeeeeeeIeeeeee "e   w   w   t" eeeeeeeeeeee6 eeeeeeeeee  eeeee(e ts PhenomenaNClarke: Studying Variability in Statistics via Performance Measures in SportClarke: Simulation ExampleNClarke: Studying Variability in Statistics via Performance Measures in Sport1Swartz: A graduate course in Statistics in Sport? Everson: Teaching Regression Using American Football Scores ^Yamaguchi, Sakaori, Watanabe: "A Trial of Statistical Education using Sports Data in Japan" Session SummarySummary Summary  Fonts UsedDesign Template Slide Titles $_㏹ "BLarry WeldonLarry WeldonCurrent UserD