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Management Stratégique semestre s6

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Management Stratégique</h2>
<span style="color: #cc0000;"><b><u>Définitions</u></b></span><br />
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<a href="http://www.cours-fsjes.com/2013/12/cours-de-management-strategique-pdf.html">Le management</a> c’est une activité visant à obtenir des hommes et des femmes un résultat collectif, en leur donnant un but commun, des valeurs communes, une organisation convenable et la formation nécessaire pour qu'ils soient performants et puissent s'adapter au changement.<br />
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C’est se débrouiller, atteindre les objectifs par le biais des autres personnes c’est à dire faire travailler les autres.<br />
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<a href="http://www.cours-fsjes.com/2013/12/cours-de-management-strategique-pdf.html" itemprop="url" style="background-color: white; color: #141414; display: block; font-family: 'Open Sans', serif, sans-serif; font-size: 19px; font-weight: 600; text-decoration: none;">Autres Cours de Management Stratégique pdf semestre s6</a><a href="http://www.cours-fsjes.com/2013/12/cours-de-management-strategique-pdf.html" itemprop="url" style="background-color: white; color: #141414; display: block; font-family: 'Open Sans', serif, sans-serif; font-size: 19px; font-weight: 600; text-decoration: none;"><br /></a><a href="http://www.cours-fsjes.com/2013/12/cours-de-management-strategique-pdf.html" itemprop="url" style="background-color: white; color: #141414; display: block; font-family: 'Open Sans', serif, sans-serif; font-size: 19px; font-weight: 600; text-align: center; text-decoration: none;"><br /></a></div>
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Management Stratégique semestre s6

Management Stratégique Définitions Le management c’est une activité visant à obtenir des hommes et des femmes un résultat collectif, en...

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Cours de Management Stratégique pdf semestre s6

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Cours de Management Stratégique<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6jtMZcUAJVxjWBbLI-mme8aLu3Uj7xrbI__jpqI4vdzgdBt4yXbrt7DiPRQOxMaKHBpK9LEsjvCrZBfjJEwn7-qufCUUAbQX0rkTlHd_XZMAG336WM_6I2YXTCOKGGvPqmuqh9TiLCa7h/s1600/Management+Strat%C3%A9gique.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="Cours de Management Stratégique" border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6jtMZcUAJVxjWBbLI-mme8aLu3Uj7xrbI__jpqI4vdzgdBt4yXbrt7DiPRQOxMaKHBpK9LEsjvCrZBfjJEwn7-qufCUUAbQX0rkTlHd_XZMAG336WM_6I2YXTCOKGGvPqmuqh9TiLCa7h/s320/Management+Strat%C3%A9gique.png" title="Cours de Management Stratégique" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Cours de Management Stratégique</td></tr>
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Ce cours est destiné aux étudiants de 3ème année de licence « économie gestion »</h3>
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Compétences requises : L’apprentissage du cours « <u><span style="font-weight: normal;"><i>Stratégie d’entreprise</i></span></u> » nécessite des connaissances préalables en management de l’entreprise. En Effet, il est indispensable pour les étudiants de cette matière d’avoir des pré-requis concernant les notions suivantes :</h3>
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  l’entreprise et son environnement, </h3>
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 le processus de gestion : la planification, l’organisation, la direction et le contrôle, </h3>
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 la prise de décisions </h3>
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 Les principales fonctions de l’entreprise. Objectifs du cours : Ce cours consiste en une initiation à <u><i>la stratégie de l’entreprise</i></u>. </h3>
<span style="font-size: small;">Il a pour objectifs :</span><br />
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<span style="font-size: small;">Maitriser les fondements de la réflexion <b>stratégique</b>.</span><br />
<span style="font-size: small;">Comprendre l’analyse <b>stratégique</b> </span><br />
<span style="font-size: small;">Connaitre les principaux outils du diagnostic <i>stratégique</i> </span><br />
<span style="font-size: small;">Saisir les différentes orientations <i><u>stratégiques</u></i> Compétences acquises : A la suite de cet apprentissage l’étudiant doit être capable de :</span><br />
<span style="font-size: small;">comprendre les principaux concepts de <b>la stratégie</b>, </span><br />
<span style="font-size: small;">connaître les principales écoles de pensée en <i>stratégie</i>,<br />maîtriser les concepts de base liés à l’analyse <i>stratégique</i>, </span><br />
<span style="font-size: small;">réaliser un <u><i>diagnostic stratégique</i></u>, </span><br />
<span style="font-size: small;">déduire les choix stratégiques possibles dans le cadre d’une démarche structurée. </span>

Cours de Management Stratégique pdf semestre s6

Cours de Management Stratégique Cours de Management Stratégique Ce cours est destiné aux étudiants de 3ème année de licence « écono...

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Fiscalité des entreprises

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FISCALITÉ<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhb7zkOEPS-Ggjky0At_jt7hO_xfq5lhjqg3KAY7R1H57khRCqo3ZINAct6Fl520sCGGu2_Ud24pQbjyS4Im_BX5kAkeDyeYxMu9SeAUXhxivjql7HQEHJVlAA-O28vEoT4erVIk7PQYY9S/s1600/Fiscalit%C3%A9-des-entreprises.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="Fiscalité des entreprises" border="0" height="117" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhb7zkOEPS-Ggjky0At_jt7hO_xfq5lhjqg3KAY7R1H57khRCqo3ZINAct6Fl520sCGGu2_Ud24pQbjyS4Im_BX5kAkeDyeYxMu9SeAUXhxivjql7HQEHJVlAA-O28vEoT4erVIk7PQYY9S/s1600/Fiscalit%C3%A9-des-entreprises.jpg" title="Fiscalité des entreprises" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><span style="color: #333333; font-family: 'Droid Sans', Arial, Verdana, sans-serif; font-size: x-small; line-height: 19.5px; text-align: start;">Fiscalité des entreprises</span></td></tr>
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<span style="color: #333333; font-family: Droid Sans, Arial, Verdana, sans-serif; font-size: x-small;"><span style="line-height: 19.5px;">Fiscalité des entreprises</span></span><br />
<span style="color: #333333; font-family: Droid Sans, Arial, Verdana, sans-serif; font-size: x-small;"><span style="line-height: 1.5;">D’une manière générale le droit se définit comme l’ensemble des règles qui visent l’ordre et l’organisation au sein de la société.</span></span></div>
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On retient que ces règles sont générales, obligatoires et assorties d’une sanction. Le droit se subdivise en deux grandes parties :</div>
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- le droit public qui régit les rapports entre le citoyen et l’Etat ;</div>
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- le droit privé qui régit les rapports entre particuliers ;</div>
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- c’est sans doute dans le droit public que l’on va ranger le droit fiscal ; Louis Trotabas retient que le droit fiscal, c’est la branche du droit public qui règle les droits du fisc et leurs prérogatives d’exercice .</div>
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Fiscalité des entreprises

FISCALITÉ Fiscalité des entreprises Fiscalité des entreprises D’une manière générale le droit se définit comme l’ensemble des règle...

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Échantillonnage et Estimation: Comparaison de deux échantillons indépendants

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Comparaison de deux échantillons indépendants </h2>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg73s0LMBDBrkNUg4mPdA3iy9YLZ36fELNTcpIkvEu5hA6-bwR0ZUHaAllJ0sXXHc4aOq_CtJ9wUyuMfeJkOrIp7jsOvLT9KdoiipRI6GzOOoqMAI0NiAYHdeyyiqY89Msq7y3FSISpUALt/s1600/population.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="Échantillonnage et Estimation: Comparaison de deux échantillons indépendants " border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg73s0LMBDBrkNUg4mPdA3iy9YLZ36fELNTcpIkvEu5hA6-bwR0ZUHaAllJ0sXXHc4aOq_CtJ9wUyuMfeJkOrIp7jsOvLT9KdoiipRI6GzOOoqMAI0NiAYHdeyyiqY89Msq7y3FSISpUALt/s1600/population.jpg" title="Échantillonnage et Estimation: Comparaison de deux échantillons indépendants " /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">cours fsjes</td></tr>
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Des échantillons sont indépendants lorsqu’une modification dans l’un d’eux n’a pas d’influence sur les autres. Par exemple, un échantillon de filles et un échantillon de garçons sélectionnés pour déterminer le poids moyen des filles et celui des garçons sont indépendants.</h3>
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Échantillonnage et Estimation: Comparaison de deux échantillons indépendants

Comparaison de deux échantillons indépendants cours fsjes Des échantillons sont indépendants lorsqu’une modification dans l’un d...

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Échantillonnage et Estimation - Ecart Type Pour Les Proportions

Échantillonnage et Estimation - Ecart Type Pour Les Proportions<br />
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<div class="MsoNormal" style="text-align: justify;">
<b style="mso-bidi-font-weight: normal;"><u><span lang="FR-BE" style="font-size: 18.0pt; mso-bidi-font-size: 10.0pt;">Ecart
type pour les proportions</span></u></b></div>
<div class="MsoNormal" style="text-align: justify;">
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEivT9FcWyyose6JP2uNdjJfBKhfgbKraSjKg9kTxagmSEXkRqp66pZxZZmSLDwast9cZvYqlg_-_P4UrQ1E5XfNCtPf_LeBBC9LWbUOSKIY7pBjk4cg33YqP7HyktIF8EkQtjfyFahDbr1_/s1600/%C3%89chantillonnage+et+Estimation.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="Échantillonnage et Estimation" border="0" height="214" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEivT9FcWyyose6JP2uNdjJfBKhfgbKraSjKg9kTxagmSEXkRqp66pZxZZmSLDwast9cZvYqlg_-_P4UrQ1E5XfNCtPf_LeBBC9LWbUOSKIY7pBjk4cg33YqP7HyktIF8EkQtjfyFahDbr1_/s1600/%C3%89chantillonnage+et+Estimation.jpg" title="Échantillonnage et Estimation" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Échantillonnage et Estimation</td></tr>
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<div class="MsoNormal" style="text-align: justify;">
<span lang="FR-BE" style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Considérons le cas d’un
sondage politique.</span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="FR-BE" style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Ici, on ne désire plus
estimer la moyenne d'une grandeur sur une population, mais la proportion des
individus de cette population qui se rangent dans une catégorie (p.ex., qui déclarent
voter pour le P.U.B.).</span></div>
<div class="MsoNormal" style="text-align: justify;">
<i style="mso-bidi-font-style: normal;"><span lang="FR-BE" style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Exemple</span></i></div>
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<span lang="FR-BE" style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Un institut de sondage
interroge un échantillon représentatif de 200 électeurs, qui ont le choix entre
4 partis politiques.</span></div>
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Échantillonnage et Estimation - Ecart Type Pour Les Proportions

Échantillonnage et Estimation - Ecart Type Pour Les Proportions Ecart type pour les proportions Échantillonnage et Estimation ...

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Échantillonnage et Estimation - Intervalles de confiance

Échantillonnage et Estimation - Intervalles de confiance<br />
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4THaIo0rh8k-zEkPNlI61Z9mRje3TfktDnqCJWvoOJbgo5Ctnf-aALNyoj_fzexQPb0DYQiX20Dr1NyHYVmXTOlxXg7GTovoRZHqKLvx-GYWBzF4LTJzStYa-NqYqQlRVWZL71gjk772_/s1600/%C3%89chantillonnage+et+Estimation.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="Échantillonnage et Estimation - Intervalles de confiance" border="0" height="214" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4THaIo0rh8k-zEkPNlI61Z9mRje3TfktDnqCJWvoOJbgo5Ctnf-aALNyoj_fzexQPb0DYQiX20Dr1NyHYVmXTOlxXg7GTovoRZHqKLvx-GYWBzF4LTJzStYa-NqYqQlRVWZL71gjk772_/s1600/%C3%89chantillonnage+et+Estimation.jpg" title="Échantillonnage et Estimation - Intervalles de confiance" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Échantillonnage et Estimation - Intervalles de confiance</td></tr>
</tbody></table>
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<div class="MsoNormal" style="text-align: justify;">
<span style="height: 2px; left: 0px; margin-left: 237px; margin-top: 15px; mso-ignore: vglayout; position: absolute; width: 17px; z-index: 251656192;"><img height="2" src="file:///C:\DOCUME~1\Admin\LOCALS~1\Temp\msohtmlclip1\01\clip_image001.gif" width="17" /></span><span lang="FR-BE" style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Nous avons vu que la moyenne X d'un
échantillon aléatoire permet d'estimer la vraie moyenne </span><span lang="FR-BE" style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">m</span></span><span lang="FR-BE" style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> de la population.</span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="FR-BE" style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Nous voudrions estimer
également la précision de cette moyenne, c'est-à-dire donner une marge d'erreur
ou un intervalle de confiance.</span></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="FR-BE" style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Nous pouvons utiliser les
tables de la loi normale pour estimer ces intervalles de confiance.</span></div>
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Échantillonnage et Estimation - Intervalles de confiance

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cour statiqtique s2 : les indices

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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">LES  INDICES<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
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<tr><td class="tr-caption" style="text-align: center;">cour statiqtique s2 : les indices</td></tr>
</tbody></table>
<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Généralités
:<o:p></o:p></span></div>
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<br /></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> Dans le domaine économique on se trouve en
présence de grandeurs pour lesquelles on a d'autant plus de difficultés à
saisir leur évolution dans le temps ou dans l'espace ou à la fois dans le temps
et dans l'espace .<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Exemples
: <o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">-    Qu'est ce
qu'un niveau de vie ?<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">-<span style="font-size: 7pt;">        
</span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Comment évolue un pouvoir d'achat ?<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Il
faut alors des instruments de mesure qui peuvent donner des renseignements et
une image dynamique de ces phénomènes .<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Ces
instruments sont appelés les indices .<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> Définition :<o:p></o:p></span></div>
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<br /></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Un
indice est un nombre sans dimension permettant de suivre l'évolution et de
comparer les valeurs d'une même grandeur susceptible de varier dans différentes
situations (temps ; espace ; catégorie socioprofessionnelle …).<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Les
grandeurs peuvent être soit :<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">-<span style="font-size: 7pt;">        
</span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Simples alors l'indice est dit simple ou élémentaire .<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">-<span style="font-size: 7pt;">        
</span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Complexes alors l'indice est dit synthétique .<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">-<span style="font-size: 7pt;">        
</span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> </span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Les
indices simples :   <o:p></o:p></span></div>
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<br /></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Calcul
de l'indice simple .  <o:p></o:p></span></div>
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<br /></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">L'indice
étant sans dimension, la connaissance d'une seule valeur n'a donc pas de
signification en soi ; par contre la comparaison de plusieurs valeurs apporte
une information .<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
fixe une situation de base comme référence 0.<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">La
valeur de la grandeur X observée dans cette situation de base sera notée X<sub>0</sub>
.<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">La
même grandeur prenant la valeur X<sub>t </sub>dans la situation t.<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
peut définir l'indice simple (dit élémentaire) de la grandeur X dans la
situation t relativement à la situation de référence 0, le rapport :<o:p></o:p></span></div>
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<table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; margin-left: 60.2pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0cm 3.5pt 0cm 3.5pt; mso-table-layout-alt: fixed;">
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  <td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 63.8pt;" valign="top" width="85"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">I<sub>t/0
  </sub> = <span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="47" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image002.gif" v:shapes="_x0000_i1025" width="28" /></span><o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Pour
des raisons de simple commodité pratique de l'expression de l'indice, le
résultat de ce rapport est généralement multiplié par 100, soit :<o:p></o:p></span></div>
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  <td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 3.0cm;" valign="top" width="113"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">I<sub>t/0
  </sub> =<span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="47" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image002.gif" v:shapes="_x0000_i1026" width="28" /></span>.100<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">L'interprétation
d'un indice simple doit citer la grandeur étudiée, les situations concernées,
la valeur et le sens de variation. <o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Si
I<sub>t/0  </sub></span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> 100 , soit 
a = I<sub>t/0 </sub>- 100 .<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
dit que la grandeur X a connu une augmentation de a % entre la situationde
référence 0 et la situation t.<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Si
I<sub>t/0</sub> </span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><</span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> 100, soit d = 100 - I<sub>t/0</sub>
.<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
dit que la grandeur X a connu une diminution de d % entre la situation de
référence 0 et la situation t.<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Remarque
: Dans la définition précédente on a employé le terme général de situations; le
plus souvent il s'agit d'époques .<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">t
sera donc l'époque d'observation ou de calcul de l'indice et <st1:metricconverter productid="0 l" w:st="on">0 l</st1:metricconverter>'époque de base.<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Exemple
: Supposons qu'à une date donnée 0, le prix d'une certaine marchandise soit P<sub>0
</sub>= 4 dh l'unité . Supposons qu'à une date ultérieure le prix de cette même
marchandise soit P<sub>t</sub> = 5,20 dh l'unité .<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
cherche l'indice simple du prix de la marchandise étudiée à la date t calculée
sur la base 100 à la date de référence 0.<o:p></o:p></span></div>
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<br /></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">          I<sub>t/0 </sub> = <span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="47" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image004.gif" v:shapes="_x0000_i1027" width="59" /></span>  =  <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image006.gif" v:shapes="_x0000_i1028" width="109" /></span>.<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
remarque que I<sub>t/0 </sub></span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">100  donc a = 130 - 100 = 30.<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
dit que la marchandise étudiée a connu une augmentation de son prix unitaire de
30 % entre la date de référence 0 et la date d'observation t.<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Ainsi
on peut dire qu'on dépense 130 dh à la date t pour acquérir la même marchandise
qui coûtait 100 dh à la date de base 0.<o:p></o:p></span></div>
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<b><u><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Propriétés des indices
simples</span></u></b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">
<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Trois
propriétés essentielles caractérisent les indices simples .<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 18.0pt; mso-list: l3 level1 lfo2; tab-stops: list 18.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">a)<span style="font-size: 7pt;">     </span></span><b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">L'identité</span></b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> : Il y a identité lorsque la valeur de l'indice est égale à 100.<o:p></o:p></span></div>
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<b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">I<sub>t/0</sub> = <span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="47" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image008.gif" v:shapes="_x0000_i1029" width="103" /></span><o:p></o:p></span></b></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Cela
signifie<b> </b>que X<sub>t</sub> = X<sub>0
</sub>c'est à dire que la grandeur X étudiée n'a pas enregistré de variation à
la date t par rapport à la date de référence 0.<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Exemple
: Un journal vendu à 2,50 dh à la date de référence 0 (an 1999) est toujours
vendu à 2,50 dh à la date d'observation t (an 2004).<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">I<sub>t/0
</sub>=<span style="mso-text-raise: -14.0pt; position: relative; top: 14.0pt;"><img height="44" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image010.gif" v:shapes="_x0000_i1030" width="111" /></span>.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 18.0pt; mso-list: l3 level1 lfo2; tab-stops: list 18.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">b)<span style="font-size: 7pt;">    </span></span><b><u><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">La réversibilité</span></u></b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> : Il y a réversibilité
lorsque le produit de l'indice d'une grandeur à la date t calculée sur la base
100 à la date de référence 0 par 
l'indice de la même grandeur à la date 0 calculée sur la base 100 à la
date t est égal à 10<sup>4</sup>.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">                           I<sub>t/0</sub> <span style="mso-text-raise: -2.0pt; position: relative; top: 2.0pt;"><img height="13" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image012.gif" v:shapes="_x0000_i1031" width="12" /></span> I<sub>0/t</sub> = 10<sup>4
</sup><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">En
effet :<o:p></o:p></span></div>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">          I<sub>t/0 </sub>= <span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="47" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image014.gif" v:shapes="_x0000_i1032" width="64" /></span>     et      I<sub>0/t</sub> = <span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="47" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image016.gif" v:shapes="_x0000_i1033" width="64" /></span>   d'où   I<sub>t/0</sub></span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">´</span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> I<sub>0/t</sub> =10000<span style="mso-text-raise: -5.0pt; position: relative; top: 5.0pt;"><img height="23" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image018.gif" v:shapes="_x0000_i1034" width="96" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Ce
qui montre qu'un indice simple est réversible .<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 18.0pt; mso-list: l3 level1 lfo2; tab-stops: list 18.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">c)<span style="font-size: 7pt;">     </span></span><b><u><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">La transférabilité ou la circularité d'un indice</span></u></b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Considérons
les mesures X<sub>0 </sub>, X<sub>t </sub>et X<sub>t'</sub> d'une grandeur aux
dates  0, t et t'.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Soit
les trois indices simples suivants :<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">  I<sub>t/0 
</sub>= <span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="47" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image014.gif" v:shapes="_x0000_i1035" width="64" /></span>  ;  I<sub>t'/0 
</sub>= <span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="47" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image020.gif" v:shapes="_x0000_i1036" width="64" /></span>   ;    I<sub>t'/t</sub>  = <span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="47" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image022.gif" v:shapes="_x0000_i1037" width="64" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">  On dit qu'un indice simple est transférable
si :   I<sub>t'/0 </sub>= <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image024.gif" v:shapes="_x0000_i1038" width="29" /></span>I<sub>t'/t</sub><span style="mso-text-raise: -2.0pt; position: relative; top: 2.0pt;"><img height="13" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image012.gif" v:shapes="_x0000_i1039" width="12" /></span>I<sub>t/0</sub> .<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Autrement
dit  <span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="47" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image026.gif" v:shapes="_x0000_i1040" width="105" /></span>.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Ce
qui montre qu'un indice simple est transférable .<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Exemple
: Soit le prix du litre du gasoil au Maroc aux dates suivantes :<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Juillet      1996 (date 0)  P<sub>0</sub> =  4 dh.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Octobre   1996 (date t)   P<sub>t</sub> =  4,32 dh.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Février    1997 (date t')  P<sub>t'</sub> =  5,40 dh.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Calculons
les indices simples :<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">I<sub>t/0</sub>
= <span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="47" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image028.gif" v:shapes="_x0000_i1041" width="180" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">I<sub>t'/0  </sub>= <span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="47" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image030.gif" v:shapes="_x0000_i1042" width="181" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">I<sub>t'/t
</sub> = <span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="47" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image032.gif" v:shapes="_x0000_i1043" width="181" /></span>.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
vérifie aisément que    I<sub>t'/0  </sub>= <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image024.gif" v:shapes="_x0000_i1044" width="29" /></span>I<sub>t'/t</sub><span style="mso-text-raise: -2.0pt; position: relative; top: 2.0pt;"><img height="13" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image012.gif" v:shapes="_x0000_i1045" width="12" /></span>I<sub>t/0  </sub><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Soit  135 = <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image024.gif" v:shapes="_x0000_i1046" width="29" /></span>(125<span style="mso-text-raise: -2.0pt; position: relative; top: 2.0pt;"><img height="13" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image012.gif" v:shapes="_x0000_i1047" width="12" /></span>108) . <o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> <u>Les indices synthétiques</u> :<o:p></o:p></span></b></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Généralités : </span></b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">La recherche d'un indice<b> </b>peut ne pas être<b> </b>limitée à la comparaison des mesures d'une seule grandeur aux
époques de référence 0 <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">et
d'observation t.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
peut en effet envisager de caractériser avec un indice l'évolution de plusieurs
grandeurs et de calculer non plus un indice simple mais un indice synthétique .<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
distingue deux types d'indices synthétiques :<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 51.0pt; mso-list: l1 level1 lfo1; tab-stops: list 51.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">-<span style="font-size: 7pt;">        
</span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Les indices synthétiques simples qui représentent une moyenne
arithmétique simple d'indices élémentaires.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 51.0pt; mso-list: l1 level1 lfo1; tab-stops: list 51.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">-<span style="font-size: 7pt;">        
</span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Les indices synthétiques pondérés qui représentent une moyenne pondérée
d'indices simples .<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 51.0pt; mso-list: l1 level1 lfo1; tab-stops: list 51.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">-<span style="font-size: 7pt;">        
</span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> </span></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Principe de construction des
indices synthétiques</span></b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> .<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Construire
un indice synthétique , c'est résumer en une seule valeur un grand nombre
d'observations de plusieurs grandeurs.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">La
construction d'un indice synthétique nécessite :<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 18.0pt; mso-list: l2 level1 lfo3; tab-stops: list 18.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">a)<span style="font-size: 7pt;">     </span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Le choix du nombre
d'éléments à retenir, c'est à dire l'échantillon d'éléments jugé représentatif.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 18.0pt; mso-list: l2 level1 lfo3; tab-stops: list 18.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">b)<span style="font-size: 7pt;">    </span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">La nature des éléments à
retenir :<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Il
convient de retenir des éléments remplissant les deux conditions suivantes :<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 51.0pt; mso-list: l1 level1 lfo1; tab-stops: list 51.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">-<span style="font-size: 7pt;">        
</span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Chaque élément retenu devant être en rapport aussi faible que possible
avec les autres éléments également retenus.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 51.0pt; mso-list: l1 level1 lfo1; tab-stops: list 51.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">-<span style="font-size: 7pt;">        
</span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Chaque élément retenu devant être en rapport aussi fort que possible
avec les autres éléments non retenus susceptibles de figurer dans
l'échantillon.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 18.0pt; mso-list: l2 level1 lfo3; tab-stops: list 18.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">c)<span style="font-size: 7pt;">     </span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Mode de calcul :<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Le
statisticien doit d'abord justifier le choix entre le calcul de l'indice des
moyennes ou la moyenne des indices.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Exemple
: A partir d'une enquête statistique, on a obtenu les prix d'un kg de viande,
d'un litre d'huile, d'un kg de sucre et d'un kg de beurre au cours des périodes
0 et t .<o:p></o:p></span></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0cm 3.5pt 0cm 3.5pt; mso-table-layout-alt: fixed;">
 <tbody>
<tr>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<br /></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<st1:metricconverter productid="1 kg" w:st="on"><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">1 kg</span></st1:metricconverter><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> de viande  <o:p></o:p></span></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">1L
  d'huile <o:p></o:p></span></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<st1:metricconverter productid="1 kg" w:st="on"><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">1 kg</span></st1:metricconverter><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> de sucre <o:p></o:p></span></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<st1:metricconverter productid="1 kg" w:st="on"><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">1 kg</span></st1:metricconverter><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> de beurre<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Prix
  P<sub>0 </sub>(dh)<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">         50<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">         6<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">         4<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">        20<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Prix
  P<sub>t </sub>(dh)<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">         70<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">         9<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">         5<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">        30<o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">     <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
va calculer l'indice des moyennes arithmétiques des prix et la moyenne
arithmétique des indices des prix de chaque produit .<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 18.0pt; mso-list: l5 level1 lfo4; tab-stops: list 18.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">1)<span style="font-size: 7pt;">    </span></span><b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">L'indice des moyennes</span></b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> <b>des prix </b>:<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
calcule les moyennes arithmétiques des prix P<sub>0 </sub>et P<sub>t</sub> .<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"><span style="mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="23" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image034.gif" v:shapes="_x0000_i1048" width="21" /></span> <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image036.gif" v:shapes="_x0000_i1049" width="181" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"><span style="mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="23" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image038.gif" v:shapes="_x0000_i1050" width="20" /></span><span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image040.gif" v:shapes="_x0000_i1051" width="199" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">L'indice
des moyennes des prix est :       I<sub>t/0</sub>
= <span style="mso-text-raise: -16.0pt; position: relative; top: 16.0pt;"><img height="51" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image042.gif" v:shapes="_x0000_i1052" width="192" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">2) <b>La moyenne des indices </b>:<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Cherchons
d'abord pour chaque produit la valeur de l'indice élémentaire des prix à la
période t calculée sur la base 100 à la période de référence 0.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> Indice des prix de la viande    (<st1:metricconverter productid="1 kg" w:st="on">1 kg</st1:metricconverter>)     
: I<sub>t/0 </sub>= <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image044.gif" v:shapes="_x0000_i1053" width="99" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Indice
des prix de l'huile         (<st1:metricconverter productid="1 litre" w:st="on">1 litre</st1:metricconverter>)     :  I<sub>t/0
</sub>= <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image046.gif" v:shapes="_x0000_i1054" width="91" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Indice
des prix du sucre          (<st1:metricconverter productid="1 kg" w:st="on">1 kg</st1:metricconverter>)       : 
I<sub>t/0 </sub>= <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image048.gif" v:shapes="_x0000_i1055" width="91" /></span> <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Indice
des prix du beurre        (<st1:metricconverter productid="1 kg" w:st="on">1 kg</st1:metricconverter>)       :  I<sub>t/0
</sub>= <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image050.gif" v:shapes="_x0000_i1056" width="99" /></span> <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">La
moyenne arithmétique des indices des prix entre les  périodes 0 et t est : <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">I<sub>t/0
</sub>= <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image052.gif" v:shapes="_x0000_i1057" width="200" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
remarque que la moyenne arithmétique des indices des prix (141,25) est
différente de l'indice des moyennes arithmétique des prix (142,5).<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Pour
justifier le choix on élimine celui qui change avec le changement des unités
des produits .<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Reprenons
le tableau précédent dans lequel remplaçons par exemple  l'unité le litre de l'huile par le mètre cube
(<st1:metricconverter productid="1000 litres" w:st="on">1000 litres</st1:metricconverter>)
et le kg du sucre par la tonne soit (<st1:metricconverter productid="1000 kg" w:st="on">1000 kg</st1:metricconverter>), on aura le tableau suivant :<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0cm 3.5pt 0cm 3.5pt; mso-table-layout-alt: fixed;">
 <tbody>
<tr>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<br /></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<st1:metricconverter productid="1 kg" w:st="on"><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">1 kg</span></st1:metricconverter><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> de viande<o:p></o:p></span></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">1m<sup>3</sup>
  d'huile<o:p></o:p></span></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">1
  tonne sucre<o:p></o:p></span></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<st1:metricconverter productid="1 kg" w:st="on"><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">1 kg</span></st1:metricconverter><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> de beurre<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Prix   P<sub>0 </sub>(dh)<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">         50<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">      6000<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">      4000<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">         20<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Prix   P<sub>t 
  </sub>(dh)<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">         70<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">      9000<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">      5000<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 92.1pt;" valign="top" width="123"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">         30<o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal" style="margin-left: 33.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">  <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Reprenons
les mêmes calculs que précédemment et calculons l'indice des moyennes
arithmétiques des prix :<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
calcule d'abord les nouvelles moyennes arithmétiques des prix P<sub>0</sub> et
P<sub>t </sub>.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"><span style="mso-text-raise: -6.0pt; position: relative; top: 6.0pt;"><img height="27" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image054.gif" v:shapes="_x0000_i1058" width="20" /></span> =<span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image056.gif" v:shapes="_x0000_i1059" width="267" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"><span style="mso-text-raise: -6.0pt; position: relative; top: 6.0pt;"><img height="27" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image058.gif" v:shapes="_x0000_i1060" width="19" /></span> =<span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image060.gif" v:shapes="_x0000_i1061" width="253" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">D'où
l'indice des moyennes :  I<sub>t/0 </sub>=
<span style="mso-text-raise: -16.0pt; position: relative; top: 16.0pt;"><img height="51" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image062.gif" v:shapes="_x0000_i1062" width="197" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> On remarque que l'indice des moyennes a changé
avec le changement des unités (140 </span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">¹</span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">142,5).<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Calculons
maintenant la moyenne arithmétique des indices des prix de chacun des quatre
produits.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Indice
des prix de la viande           (<st1:metricconverter productid="1 kg" w:st="on">1 kg</st1:metricconverter>)   : I<sub>t/0 </sub>= <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image044.gif" v:shapes="_x0000_i1063" width="99" /></span> <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Indice
des prix de l'huile               (1m<sup>3</sup>)   :  I<sub>t/0  </sub>= <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image064.gif" v:shapes="_x0000_i1064" width="115" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Indice
des prix du sucre                (1
t)     : 
I<sub>t/0 </sub> = <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image066.gif" v:shapes="_x0000_i1065" width="115" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Indice
des prix du beurre              (<st1:metricconverter productid="1 kg" w:st="on">1 kg</st1:metricconverter>)  :  I<sub>t/0</sub>  = <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image050.gif" v:shapes="_x0000_i1066" width="99" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">D'où
la moyenne arithmétique des indices des prix est :<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"><span style="mso-text-raise: -2.0pt; position: relative; top: 2.0pt;"><img height="21" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image068.gif" v:shapes="_x0000_i1067" width="13" /></span><sub>t/0 </sub>= <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><img height="41" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image052.gif" v:shapes="_x0000_i1068" width="200" /></span><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
remarque que la moyenne arithmétique des indices des prix est insensible aux
changements des unités .<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">En
conclusion l'indice des moyennes n'est pratiquement jamais utilisé puisque
l'utilisation d'unités différentes (multiples ou sous multiples des unités)
conduit à un indice différent, ce qui est tout à fait illogique du point de vue
économique.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Conséquence
: Le mode de calcul le plus approprié est la moyenne arithmétique des
indices.    <o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<b><u><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Principaux types d'indices:<o:p></o:p></span></u></b></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Les
formules d'indices sont nombreuses, cependant dans la pratique, elles se réduisent
à un petit nombre de types dont les principaux sont ceux de LASPEYRES et de
PAASCHE qui portent essentiellement sur les prix et les quantités .<o:p></o:p></span></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Les indices de LASPEYRES</span></b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">.<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
notera :<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 51.0pt; mso-list: l1 level1 lfo1; tab-stops: list 51.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">-<span style="font-size: 7pt;">        
</span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">P<sub>i.o</sub> et Q<sub>i.o </sub>respectivement le prix et la
quantité du i<sup>ème</sup> produit à l'époque de référence 0.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 51.0pt; mso-list: l1 level1 lfo1; tab-stops: list 51.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">-<span style="font-size: 7pt;">        
</span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">P<sub>i.t </sub>et Q<sub>i.t </sub>respectivement le prix et la
quantité du i<sup>ème </sup> produit à
l'époque d'observation t.<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">L'indice
des prix de LASPEYRES.<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; margin-left: 67.3pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0cm 3.5pt 0cm 3.5pt; mso-table-layout-alt: fixed;">
 <tbody>
<tr>
  <td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 11.0cm;" valign="top" width="416"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">L<sub>p
  </sub> = <span style="mso-text-raise: -16.0pt; position: relative; top: 16.0pt;"><img height="51" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image071.gif" v:shapes="_x0000_i1069" width="120" /></span> = <span style="mso-text-raise: -16.0pt; position: relative; top: 16.0pt;"><img height="51" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image073.gif" v:shapes="_x0000_i1070" width="212" /></span><o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
dit que le coefficient de pondération de l'indice des prix est : P<sub>i.o</sub><span style="mso-text-raise: -2.0pt; position: relative; top: 2.0pt;"><img height="13" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image012.gif" v:shapes="_x0000_i1071" width="12" /></span>Q<sub>i.o </sub>.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Remarques
:<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 21.75pt; mso-list: l4 level1 lfo5; tab-stops: list 21.75pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">1)<span style="font-size: 7pt;">    </span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Si L<sub>p </sub></span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> 100 : soit a = L<sub>p </sub></span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">-</span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">100, on dit que les prix ont augmenté de a %
entre la période de référence 0 et la période d'observation t.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 21.75pt; mso-list: l4 level1 lfo5; tab-stops: list 21.75pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">2)<span style="font-size: 7pt;">    </span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Si L<sub>p </sub></span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><</span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> 100 : soit d = 100 </span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">-</span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> L<sub>p</sub> , on dit que les prix ont
diminué de d % entre la période de référence 0 et la période d'observation t.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">                    <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">7.5.1.2
L'indice des quantités de LASPEYRES .<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 33.0pt;">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; margin-left: 67.3pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0cm 3.5pt 0cm 3.5pt; mso-table-layout-alt: fixed;">
 <tbody>
<tr>
  <td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 11.0cm;" valign="top" width="416"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">L<sub>q
  </sub> = <span style="mso-text-raise: -16.0pt; position: relative; top: 16.0pt;"><img height="51" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image075.gif" v:shapes="_x0000_i1072" width="116" /></span>=<span style="mso-text-raise: -16.0pt; position: relative; top: 16.0pt;"><img height="51" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image077.gif" v:shapes="_x0000_i1073" width="216" /></span><o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal" style="margin-left: 33.0pt;">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">On
dit de même que le coefficient de pondération de l'indice des quantités est : Q<sub>i.o</sub><span style="mso-text-raise: -2.0pt; position: relative; top: 2.0pt;"><img height="13" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image012.gif" v:shapes="_x0000_i1074" width="12" /></span>P<sub>i.o<o:p></o:p></sub></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Remarques
:<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 18.0pt; mso-list: l7 level1 lfo6; tab-stops: list 18.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">1)<span style="font-size: 7pt;">    </span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Si L<sub>q </sub></span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> 100 , soit a = L<sub>q </sub></span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">-</span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> 100, on dit que les quantités ont augmenté
entre la période de référence 0 et la période d'observation t.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 18.0pt; mso-list: l7 level1 lfo6; tab-stops: list 18.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">2)<span style="font-size: 7pt;">    </span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Si L<sub>q </sub></span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><</span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> 100 , soit d = 100 </span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">-</span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> L<sub>q </sub>, on dit que les quantités ont
diminué de d % entre la période de référence 0 et la période d'observation t.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 33.0pt;">
<br /></div>
<div class="MsoNormal" style="margin-left: 33.0pt;">
<b><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Les indices de
PAASCHE <o:p></o:p></span></b></div>
<div class="MsoNormal" style="margin-left: 33.0pt;">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Indice
de LASPEYRES des valeurs globales <o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; margin-left: 124.0pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0cm 3.5pt 0cm 3.5pt; mso-table-layout-alt: fixed;">
 <tbody>
<tr>
  <td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 5.0cm;" valign="top" width="189"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">L<sub>vg
  </sub> = <span style="mso-text-raise: -16.0pt; position: relative; top: 16.0pt;"><img height="51" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image079.gif" v:shapes="_x0000_i1075" width="120" /></span><o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Les
indices de PAASCHE<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Indice
de PAASCHE des prix  <o:p></o:p></span></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; margin-left: 124.0pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0cm 3.5pt 0cm 3.5pt; mso-table-layout-alt: fixed;">
 <tbody>
<tr>
  <td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 5.0cm;" valign="top" width="189"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"><span style="mso-text-raise: -16.0pt; position: relative; top: 16.0pt;"><img height="51" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image081.gif" v:shapes="_x0000_i1076" width="152" /></span><o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Remarques
:<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 18.0pt; mso-list: l0 level1 lfo7; tab-stops: list 18.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">1)<span style="font-size: 7pt;">    </span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Si P<sub>p </sub></span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> 100, soit a = P<sub>p </sub></span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">-</span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> 100; on dit que les prix ont augmenté de a %
entre l'époque de référence 0 et l'époque d'observation t.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 18.0pt; mso-list: l0 level1 lfo7; tab-stops: list 18.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">2)<span style="font-size: 7pt;">    </span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Si Pp </span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><</span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> 100, soit d = 100 </span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">-</span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> P<sub>p</sub> ; on dit que les prix ont
diminué de d % entre l'époque de référence 0 et la période d'observation t.<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Indice
de PAASCHE des quantités <o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; margin-left: 124.0pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0cm 3.5pt 0cm 3.5pt; mso-table-layout-alt: fixed;">
 <tbody>
<tr>
  <td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 5.0cm;" valign="top" width="189"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">P<sub>q
  </sub> = <span style="mso-text-raise: -16.0pt; position: relative; top: 16.0pt;"><img height="51" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image083.gif" v:shapes="_x0000_i1077" width="119" /></span><o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Remarque
:<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 18.0pt; mso-list: l6 level1 lfo8; tab-stops: list 18.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">1)<span style="font-size: 7pt;">    </span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Si P<sub>q </sub></span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> 100, soit a = P<sub>q </sub></span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">-</span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> 100 ; on dit que les quantités ont augmenté
de a % entre l'époque de référence 0 et l'époque d'observation t.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 18.0pt; mso-list: l6 level1 lfo8; tab-stops: list 18.0pt; text-indent: -18.0pt;">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">2)<span style="font-size: 7pt;">    </span></span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Si P<sub>q </sub></span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><</span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> 100 , soit d = 100 </span><span style="font-family: Symbol; font-size: 14.0pt; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-size: 10.0pt; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;">-</span><span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;"> P<sub>q 
</sub>; on dit que les quantités ont diminué de d % entre l'époque de
référence 0 et l'époque d'observation t .<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Indice
de PAASCHE des valeurs globales <o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; margin-left: 124.0pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0cm 3.5pt 0cm 3.5pt; mso-table-layout-alt: fixed;">
 <tbody>
<tr>
  <td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 5.0cm;" valign="top" width="189"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">P<sub>vg  = </sub><span style="mso-text-raise: -16.0pt; position: relative; top: 16.0pt;"><img height="51" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image079.gif" v:shapes="_x0000_i1078" width="120" /></span><o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Les
indices de FISHER <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">L'indice
de FISHER est la moyenne géométrique des deux indices de LASPEYRES et de
PAASCHE . Il compris entre ces deux indices et vient pallier à leurs carences .<o:p></o:p></span></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; margin-left: 145.25pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0cm 3.5pt 0cm 3.5pt; mso-table-layout-alt: fixed;">
 <tbody>
<tr>
  <td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 70.9pt;" valign="top" width="95"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">F
  = <span style="mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="23" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image085.gif" v:shapes="_x0000_i1079" width="51" /></span><o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Indice
de LASPEYRES des prix <o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; margin-left: 116.9pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0cm 3.5pt 0cm 3.5pt; mso-table-layout-alt: fixed;">
 <tbody>
<tr>
  <td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 3.0cm;" valign="top" width="113"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">F<sub>p</sub>
  = <span style="mso-text-raise: -8.0pt; position: relative; top: 8.0pt;"><img height="29" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image087.gif" v:shapes="_x0000_i1080" width="65" /></span><o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
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<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">Indice
de FISHER des quantités<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; margin-left: 116.9pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0cm 3.5pt 0cm 3.5pt; mso-table-layout-alt: fixed;">
 <tbody>
<tr style="height: 27.15pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;">
  <td style="border: solid windowtext 1.0pt; height: 27.15pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 3.5pt 0cm 3.5pt; width: 3.0cm;" valign="top" width="113"><div class="MsoNormal">
<span style="font-size: 14.0pt; mso-bidi-font-size: 10.0pt;">F<sub>q</sub>
  = <span style="mso-text-raise: -8.0pt; position: relative; top: 8.0pt;"><img height="29" src="file:///C:/DOCUME~1/STAGIA~1/LOCALS~1/Temp/msohtmlclip1/01/clip_image089.gif" v:shapes="_x0000_i1081" width="63" /></span><o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
<br />
<div class="MsoNormal">
cours fsjes maroc</div>

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