]vg&WordMicrosoft Word  q Courier New-@Times New Roman-  2  q q ' 2 W q q '@Times New Roman-)2 b) qCHANTILLON DE COUPL(+/++(((/++(+/+%(2 b- qES(! 2 bv q  2  q -2 X qOn peut, par une simulation, crer des chantillons de couples vrifiant des proprits +/-s2 1bE qchoisies lavance. Cest une option du programme ce que propose le (//@Times New Roman-,2 1 qchantillon de couples%- 2 1>  q -2 vb  qdans le menu /->2 v" qSimulation de lois de probabilits+-2 v q : 2 v q  2  q  2 ; qS!C2 \% qIMULATION D'UN ECHANTILLON DE COUPLES5+"*%+++ ++%(**+%""+++%(++!"%! 2 d q  2 EkWq  2 EEq 42 kWqSimulation d'un chantillon!/  2 Wq  2  Eq1 2 )Eq :2 kWqEdition de l'chantillon simul% / 2 KWq  2  Eq2 2 )Eq A2 k$WqReprsentation graphique des couples( 2 Wq  2  Eq3 2 )Eq S2 Yk0WqEdition des coefficients de corrlation observs% 2 YWq  2 Y Eq4 2 Y)Eq  2 kWq  2 Eq 72 kWqAutre procdure de simulation*/ 2 IWq  2 EqA* 2 /Eq  2 (kWqMenu de StatPC5!!( 2 (Wq  2 (EqM5 2 (5Eq  2 mkWq  2 mEq 2 kWqQuitter+ 2 Wq  2 EqQ+ 2 0Eq  2  q 2 <V qAu plan thorique, les couples sont gnrs suivant la loi binormale (cf. chapitre 4) */2 b[ qdont les lois marginales sont des lois normales centres rduites. Nous avons introduit en //+p2 bC qoutre lventualit de points aberrants (dans 20% des cas environ).2 2  q 2 O qLapplication permet de simuler un par un des chantillons de couples, pour un "//2 Pbb qcoefficient de corrlation fix ou tir au hasard, et en donne la reprsentation graphique au fur 2 b  qet mesure. / 2  q k2 @ qDans un premier temps, on pourra examiner les couples de coeffic+///)2 ~ qient de corrlation 2 ba qdonn (il sagit de la valeur thorique), et rechercher les points aberrants et points influents 82 db q(plus difficiles dtecter).  2 d q  2  q q &a> gC hb(h 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o'`'o'`'o(`'o(`'o(`'o(`'o(`'o(`(o(o(o/`(o/o(o/o(o/o(o/o(p/o/p/o/p0o/p0o/p0o/p0o/p0o/p0o0p0o0p7o0p7o0p7o0p7p0p7o0p7p7p7p78p7p8p78p78p78p78p88p8?p8?p8?p8?p8?p8?p??p?@?@?@?@?@?@@@@G@G @G @G @G @G GH GH GH GH GH GH G H H O/H O H O/H O/H O/H O/H O/O P/O P/O P/O P/O P/O P/O/P/P/W0P/W/P/W0P/W0P/W0P/W0W/W0W/X0W/X0W/X0W/X0W/X0W/X0X0X0X0_?X0_0X0_?X0_?X0_?X0_?_0_?_0`?_0`?_0`?_0`?_?`?_0`?`?`?`?g@`?g?`?g@`?g@`?g@`?g@g?g@g?h@g?h@g?h@g?h@g@h@g?h@h@h@h@oOh@oOh@oOh@oOh@oOh@oOo@oOo@pOo@pOo@pOo@pOoOpOo@pOpOpOpOwPpOwPpOwPpOwPpOwPpOwPwOwPwOxPwOxPwOxPwOxPwPxPwOxPxPPxP_xP_xP_xP_xP_xP_P_P_P_P_P___P____`_`_`_`_`_`_`_`_`_`_````````o`o`o`o`o`o`o`o`o`o`oooooooopopopopopopopopopopoϘppppϘppϟppϟpϟpϟpϟpϟpϟpϠpϠpϠpϠpϠϟϠϠϠϠϧϠЧϠϧϠЧϠЧϠЧϧЧϧШϧШϧШϧШϧШϧШϨЯШЯϨЯШЯШЯШЯШ߯Я߰Я߰Я߰Я߰Я߰Я߰Я߰а߷а߷а߷а߷а߷߰߷߷߷߷߸߷ฐ߷߸߷ฐ߷ฐ߷ฐ߸ฐ߸࿟߸࿐߸࿟߸࿟߸࿟߸࿟߿࿟࿐߿࿐࿐࿐࿐ǠǟǠǠǠǠǟǠǟȠǟȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠ???` ` _ __ ``` ` ` ` ` ` ` `'` 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O/O/P/P/P/P/P/P/P/P/P/P/W/P/W/W/W/W/W0W0W0W/W0W0X0X0X0X0X0X0_0_0_0_0_?_?_?_?`?`?`?`?`?`?`?`?`?g?g?g@g?g?g?g@g?g@g@g@g?g@g@h@h@h@h@h@h@h@h@h@h@h@h@o@h@o@o@oOo@o@o@oOo@oOoOoOoOpOoOpOpOpOpOpOpOpOpOpOpOpOpOwOpOwOwOwPwOwOwOwPwOwPwPwPwPxPwPxPxPxPxPxPxPxPxPxPxPxPxPPxPPP_PPP_P______________________`_`_`_``````````````````````o`o`o`oooooooooooooooooooooopopopoppppppppppppppppppϟppppϟpϟϟpϟpϟϟϠϟϠϠϠϠϠϠϠϠϠϠϠϠϧϠϧϧϧϧϧϧϧϧЧϧЧϧШϧШШШШШШШШШШШШЯШЯЯЯЯЯЯЯЯЯЯЯЯ߰Яаа߰а߰߰߰а߰߰߰߰߷߰߷߷߷߷߷߷߷߷߷߷߷߷߸߷߸߸߸߸߸߸ฐ߸ฐ߸ฐ߸࿐ฐ࿐࿐࿐࿐࿟࿐࿟࿟࿟࿐࿟࿟࿟ǟǟǠǟǟǟǠǟǠǠǠȠȠ??????ȠȠ???ȠȠ???` ` ?_@ ` ` ` `'` `'` o'` o'`'o(`'o(`'o(`(o/o(o/o(p/o/p0o/p0o/p0o0p7o0p7p0p7p0p7p78p78p78p78p78p8?p8?p8?p?@p?@?@?@?@@G @G @G @G @H GH GH GH H O/H O/H O/O P/O P/O P/P/W/P/W0P/W0P/W0P/W0P/W0W/X0W/X0W/X0W/X0W0X0X0_0X0_?X0_?_0`?_0`?`?_?`?`?g?`?g@`?g@`?g@`?g@`?g@g?g@g?h@g?h@g?h@g?h@g?h@g@h@h@h@h@o@h@oOh@oOh@oOh@oOh@oOo@oOo@pOo@pOo@pOo@pOo@pOoOpOpOpOpOwOpOwPpOwPpOwPpOwPpOwPwOwPwOxPwOxPwOxPwOxPwOxPwPxPxP_xPPxP_xP_xP_xP_xP_P_P_P_P_P_P____`___`_`_`_`_`_`_`_`_`_`_````o```o`o`o`o`o`o`o`o`ooo`oooopooopopopopopopopopopppoϘppppϟpϟppϟpϟpϟpϟpϟpϠpϠpϠpϠϟϠpϠϠϠϠЧϠϧϠЧϠЧϠЧϠЧϧЧϧШϧШϧШϧШϧШϧШϨЯϨЯШЯШЯШЯШ߯ШЯЯ߰Я߰Я߰Я߰Я߰Я߰Я߰а߷а߷а߷а߷߰߷а߷߷߷߷߸߷߸߷ฐ߷ฐ߷ฐ߷ฐ߸ฐ߸࿐߸࿟߸࿟߸࿟߸࿟߸࿟߿࿟߿࿐߿࿐࿐࿟ǟǠǠǠǠǠǟǠǟȠǟȠȠ??????ȠȠ???ȠȠ???` ` ?__ _?@ ???` ` ` ` ` ` ` `'`'o'`'o'`'o(o(o(o(o(o/o/o/o/p0o0p0p0p0p0p0p0p7p7p7p7p7p8p8p88p888????????@?@@@@GGG GGGG G H H H H H H O O O/O/O/P/P/P/P/P/P/P/W/P/W/W/W0W/W0W/W0W0W0W0X0X0X0X0X0X0X0X0_0X0_?_0_?_0_?`?`?`?`?`?`?`?`?`?g?g?g?g?g@g?g@g?g@g?g@g@g@g@h@h@h@h@h@h@h@h@h@h@h@h@o@h@o@o@o@o@oOo@oOo@oOo@oOoOpOoOpOpOpOpOpOpOpOpOpOpOpOpOwOpOwOwOwOwOwPwOwPwOwPwOwPwPxPwPxPxPxPxPxPxPxPxPxPxPxPxPPxPPPPP_P___P______________________`_```_``````````````````````o`ooo`oooooooooooooooooopooopopppoppppppppppppppppppϟpϟppϟpϟϟϟϟϠϟϠϠϠϠϠϠϠϠϠϠϠϠϧϠϧϧϧϧϧϧЧϧϧϧЧϧШЧШϨШШШШШШШШШШЯШЯЯЯЯЯЯЯЯЯЯЯЯаЯ߰а߰а߰а߰߰߰߰߰߰߷߰߷߷߷߷߷߷߷߷߷߷߷߷߸߷߸߸߸߸ฐ߸߸߸ฐ߸ฐฐ࿐߸࿐࿐࿟࿐࿟࿐࿟࿐࿟࿟࿟࿟࿟ǟǟǟǟǠǟǠǟǠǟǠȠȠ??????ȠȠ???ȠȠ???` ` ??` ` `'` o'` o'`'o(`'o(`'o(o(o/o(o/o(o/o(p/o/p0o/p0o/o0p7o0p7o0p7o0p7p7p8p78p78p78p8?p8?p8??@?@?@?@@G @G @G @H GH GH G H H O/H O/H O/H O/O P/O P/O/P/P/W0P/W/P/W0P/W0P/W0P/W/X0W/X0W/X0W/X0X0X0_?X0_?_0`?_0`?_0`?`?g@`?g?`?g@`?g@`?g@`?g@g?g@g?h@g?h@g?h@g?h@g@h@g?h@h@h@h@oOh@oOh@oOh@oOh@oOh@oOo@oOo@pOo@pOo@pOo@pOoOpOo@pOpOpOpOwPpOwPpOwPpOwPpOwPpOwPwOwPwOxPwOxPwOxPwOxPwPxPwOxPxPPxP_xP_xP_xP_xP_xP_P_P_P_P_P___P____`_`_`_`_`_`_`_`_`_`_````````o`o`o`o`o`o`o`o`o`o`oooooooopopopopopopopopopopoϘppppϘppϟppϟpϟpϟpϟpϟpϟpϠpϠpϠpϠpϠϟϠϠϠϠϧϠЧϠϧϠЧϠЧϠЧϧЧϧШϧШϧШϧШϧШϧШϨЯШЯϨЯШЯШЯШЯШ߯Я߰Я߰Я߰Я߰Я߰Я߰Я߰а߷а߷а߷а߷а߷߰߷߷߷߷߸߷ฐ߷߸߷ฐ߷ฐ߷ฐ߸ฐ߸࿟߸࿐߸࿟߸࿟߸࿟߸࿟߿࿟࿐߿࿐࿐࿐࿐ǠǟǠǠǠǠǟǠǟȠǟȠȠ??????ȠȠ???ȠȠ???` `  ??? ??` ` ` ` ` ` `'` `'`'`'o(o'o(o(o(o(o(o/o/o/o/p/o0p0p0p0p0p0p7p7p7p7p7p8p8p8p8p8p88p8???????@?@@@@@GGGGG G G H H H H O O O O/O/P/P/P/P/P/P/P/P/P/P/W/P/W/W/W/W/W0W0W0W/W0W0X0X0X0X0X0X0X0X0_0X0_0_0_?_?`?`?`?`?`?`?`?`?`?`?g?g?g@g?g?g?g@g?g@g@g@g?g@g@h@h@h@h@h@h@h@h@h@h@h@h@o@h@o@o@oOo@o@o@oOo@oOoOoOoOpOoOpOpOpOpOpOpOpOpOpOpOpOpOwOpOwOwOwPwOwOwOwPwOwPwPwPwPxPwPxPxPxPxPxPxPxPxPxPxPxPxPPxPPP_PPP_P______________________`_`_`_``````````````````````o`o`o`oooooooooooooooooooooopopopoppppppppppppppppppϟppppϟpϟϟpϟpϟϟϠϟϠϠϠϠϠϠϠϠϠϠϠϠϧϠϧϧϧϧϧϧϧϧЧϧЧϧШϧШШШШШШШШШШШШЯШЯЯЯЯЯЯЯЯЯЯЯЯ߰Яаа߰а߰߰߰а߰߰߰߰߷߰߷߷߷߷߷߷߷߷߷߷߷߷߸߷߸߸߸߸߸߸ฐ߸ฐ߸ฐ߸࿐ฐ࿐࿐࿐࿐࿟࿐࿟࿟࿟࿐࿟࿟࿟ǟǟǠǟǟǟǠǟǠǠǠȠȠ??????ȠȠ???ȠȠ???` ` ` ```@@@000000```ppp` ` ` `'` o'` o'` o'` o'`'o'`'o(`'o(`'o(`'o(`'o(`'o(`(o(`(o/`(o/o(o/o(p/o(p/o/p0o/p0o/p0o/p0o/p0o/p0o0p0o0p7o0p7o0p7p0p7o0p7p0p7p7p8p78p78p78p78p78p8?p8?p8?p8?p8?p8?p???@p?@?@?@?@?@@G @G @G @G @G @G GH GH GH GH GH G H GH H O H O/H O/H O/H O/H O/O P/O P/O P/O P/O/P/O 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O/O/P/O/P/P/P/P/P/P/P/P/P/P/P/P/W/P/W/W/W/W/W0W/W0W0W0W/W0W0X0W0X0X0X0X0X0X0X0X0X0X0X0X0_0X0_0_0_0_0_?_0_?_?_?_0_?_?`?`?`?`?`?`?`?`?`?`?`?`?`?`?g?g?g@g?g?g?g@g?g@g@g@g?g@g@h@h@h@h@h@h@h@h@h@h@h@h@o@h@o@o@oOo@o@o@oOo@oOoOoOoOpOoOpOpOpOpOpOpOpOpOpOpOpOpOwOpOwOwOwPwOwOwOwPwOwPwPwPwPxPwPxPxPxPxPxPxPxPxPxPxPxPxPPxPPP_PPP_P______________________`_`_`_``````````````````````o`o`o`oooooooooooooooooooooopopopoppppppppppppppppppϟppppϟpϟϟpϟpϟϟϠϟϠϠϠϠϠϠϠϠϠϠϠϠϧϠϧϧϧϧϧϧϧϧЧϧЧϧШϧШШШШШШШШШШШШЯШЯЯЯЯЯЯЯЯЯЯЯЯ߰Яаа߰а߰߰߰а߰߰߰߰߷߰߷߷߷߷߷߷߷߷߷߷߷߷߸߷߸߸߸߸߸߸ฐ߸ฐ߸ฐ߸࿐ฐ࿐࿐࿐࿐࿟࿐࿟࿟࿟࿐࿟࿟࿟ǟǟǠǟǟǟǠǟǠǠǠȠȠ??????ȠȠ???ȠȠ???` ` ` ``` ` ```ppp000` ` ` `'` `'` o'` o'` o'` o'`'o'`'o(`'o(`'o(`'o(`'o(`'o(`(o(`(o/o(o/`(o/o(o/o(p/o(o/o/p/o/p0o/p0o/p0o/p0o/p0o/p0o0p0o0p7o0p7o0p7p0p7o0p7p0p7p7p7p7p8p78p78p78p78p78p88p8?p8?p8?p8?p8?p8?p???@p?@?@?@?@?@@@@G @G @G @G @G @G GH GH GH GH GH G H GH H O H O/H O/H O/H O/H O/H O/O P/O P/O P/O P/O P/O/P/O P/P/W/P/W0P/W0P/W0P/W0P/W0W/W0W/X0W/X0W/X0W/X0W/X0W0X0X0X0X0_0X0_?X0_?X0_?X0_?X0_?_0_?_0`?_0`?_0`?_0`?_0`?_?`?`?`?`?g?`?g@`?g@`?g@`?g@`?g@g?g@g?h@g?h@g?h@g?h@g?h@g@h@h@h@h@o@h@oOh@oOh@oOh@oOh@oOo@oOo@pOo@pOo@pOo@pOo@pOoOpOpOpOpOwOpOwPpOwPpOwPpOwPpOwPwOwPwOxPwOxPwOxPwOxPwOxPwPxPxP_xPPxP_xP_xP_xP_xP_P_P_P_P_P_P____`___`_`_`_`_`_`_`_`_`_`_````o```o`o`o`o`o`o`o`o`ooo`oooopooopopopopopopopopopppoϘppppϟpϟppϟpϟpϟpϟpϟpϠpϠpϠpϠϟϠpϠϠϠϠЧϠϧϠЧϠЧϠЧϠЧϧЧϧШϧШϧШϧШϧШϧШϨЯϨЯШЯШЯШЯШ߯ШЯЯ߰Я߰Я߰Я߰Я߰Я߰Я߰а߷а߷а߷а߷߰߷а߷߷߷߷߸߷߸߷ฐ߷ฐ߷ฐ߷ฐ߸ฐ߸࿐߸࿟߸࿟߸࿟߸࿟߸࿟߿࿟߿࿐߿࿐࿐࿟ǟǠǠǠǠǠǟǠǟȠǟȠȠ??????ȠȠ???ȠȠ???` ` ` ```` ` ``````` ` ` ` ` ` ` ` ` `'` `'`'`'`'o'`'`'`'o'`'o'o'o(`'o(o(o(o(o(o(o(o(o(o(o(o(o/o(o/o/o/o/o/o/o/o/o/o/o/o/p0o0p0o0p0o0p0p0p0p0p0p0p0p0p7p7p7p7p7p7p7p7p7p7p7p7p7p7p8p8p8p88p8p8p88p888?p8????????????@?@@@@@@@@@@@@G@GGG GGGG GG G G G H G H H H H H H H H H H H H O H O O O/O O O O/O O/O/O/O/P/O/P/P/P/P/P/P/P/P/P/P/P/P/W/P/W/W/W0W/W0W/W0W/W0W0W0W0X0W0X0X0X0X0X0X0X0X0X0X0X0X0_0X0_0_0_?_0_?_0_?_0_?_?_?_?`?`?`?`?`?`?`?`?`?`?`?`?`?`?g?g?g?g?g@g?g@g?g@g?g@g@g@g@h@h@h@h@h@h@h@h@h@h@h@h@o@h@o@o@o@o@oOo@oOo@oOo@oOoOpOoOpOpOpOpOpOpOpOpOpOpOpOpOwOpOwOwOwOwOwPwOwPwOwPwOwPwPxPwPxPxPxPxPxPxPxPxPxPxPxPxPPxPPPPP_P___P______________________`_```_``````````````````````o`ooo`oooooooooooooooooopooopopppoppppppppppppppppppϟpϟppϟpϟϟϟϟϠϟϠϠϠϠϠϠϠϠϠϠϠϠϧϠϧϧϧϧϧϧЧϧϧϧЧϧШЧШϨШШШШШШШШШШЯШЯЯЯЯЯЯЯЯЯЯЯЯаЯ߰а߰а߰а߰߰߰߰߰߰߷߰߷߷߷߷߷߷߷߷߷߷߷߷߸߷߸߸߸߸ฐ߸߸߸ฐ߸ฐฐ࿐߸࿐࿐࿟࿐࿟࿐࿟࿐࿟࿟࿟࿟࿟ǟǟǟǟǠǟǠǟǠǟǠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠ???` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `'` o'` `'` o'` o'` o'`'o'`'o(`'o(`'o(`'o(`'o(`'o(`(o(o(o/`(o/o(o/o(o/o(o/o(p/o/p/o/p0o/p0o/p0o/p0o/p0o/p0o0p0o0p7o0p7o0p7o0p7p0p7o0p7p7p7p78p7p8p78p78p78p78p88p8?p8?p8?p8?p8?p8?p??p?@?@?@?@?@?@@@@G@G @G @G @G @G GH GH GH GH GH GH G H H O/H O H O/H O/H O/H O/H O/O P/O P/O P/O P/O P/O P/O/P/P/W0P/W/P/W0P/W0P/W0P/W0W/W0W/X0W/X0W/X0W/X0W/X0W/X0X0X0X0_?X0_0X0_?X0_?X0_?X0_?_0_?_0`?_0`?_0`?_0`?_?`?_0`?`?`?`?g@`?g?`?g@`?g@`?g@`?g@g?g@g?h@g?h@g?h@g?h@g@h@g?h@h@h@h@oOh@oOh@oOh@oOh@oOh@oOo@oOo@pOo@pOo@pOo@pOoOpOo@pOpOpOpOwPpOwPpOwPpOwPpOwPpOwPwOwPwOxPwOxPwOxPwOxPwPxPwOxPxPPxP_xP_xP_xP_xP_xP_P_P_P_P_P___P____`_`_`_`_`_`_`_`_`_`_````````o`o`o`o`o`o`o`o`o`o`oooooooopopopopopopopopopopoϘppppϘppϟppϟpϟpϟpϟpϟpϟpϠpϠpϠpϠpϠϟϠϠϠϠϧϠЧϠϧϠЧϠЧϠЧϧЧϧШϧШϧШϧШϧШϧШϨЯШЯϨЯШЯШЯШЯШ߯Я߰Я߰Я߰Я߰Я߰Я߰Я߰а߷а߷а߷а߷а߷߰߷߷߷߷߸߷ฐ߷߸߷ฐ߷ฐ߷ฐ߸ฐ߸࿟߸࿐߸࿟߸࿟߸࿟߸࿟߿࿟࿐߿࿐࿐࿐࿐ǠǟǠǠǠǠǟǠǟȠǟȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠȠ???????????????&' 2 =  q  2  q 82  qLa reprsentation graphique ci" 2  q-Y2 24 qdessus est caractristique dun chantillon dont le 2 Vb qcoe2 V] qfficient de corrlation thorique est proche de 0.5. Cest la prsence, en haut gauche, de (2 bX qlobservation de rang 13 qui donne un coefficient de corrlation gal 0.23, nettement /-qq  pp  oo  nn  mm  ll  kk  jj  ii   h h    g g