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366 CAPITOLO 6. STATISTICA MULTIVARIATA PLIC SC SA.SC TD TMI Piem 0.088 0.471 -0.707 -0.607 -0.395 Vaos -1.545 0.348 -0.642 -0.813 1.578 Lomb 0.202 1.397 -0.836 -0.790 -0.538 TrAA 0.677 0.435 -1.269 -0.966 -0.075 Vene 0.088 1.334 -1.210 -0.848 -0.497 FrVG 0.639 -0.005 -1.028 -0.804 -1.301 Ligu 1.190 -0.247 0.470 -0.429 -0.354 EmRo 0.658 1.177 -1.315 -0.863 -0.347 Tosc 0.126 1.092 -0.795 -0.644 -1.355 Umbr -1.431 0.675 -0.140 -0.524 -1.287 Marc 0.278 1.090 -0.265 -0.702 -0.0006 Lazi 2.329 0.546 -0.080 -0.113 -0.014 Abru 0.335 -0.373 0.402 -0.456 0.040 Moli 0.658 -1.289 0.065 0.451 -1.151 Camp -1.811 -1.314 2.031 1.664 0.414 Pugl -0.766 -0.926 1.038 0.648 1.109 Basi -0.747 -1.154 0.661 0.844 2.001 Cala -0.500 -1.727 1.571 2.153 0.632 Sici -0.918 -1.130 1.332 1.517 1.783 Sard 0.449 -0.403 0.717 1.285 -0.238 Questa tabella è stata prima costruita su Excel copiando i dati da Istat (abbreviando i nomi per comodità gra…che successive, evitando gli spazi tra più parole di un nome), poi è stata standardizzata direttamente su Excel, come spiegato nell’esercizio 1. Domanda: evidenziare pregi e difetti della tabella standardizzata rispetto a quella originaria. Carichiamo i dati in R con la procedura riassunta nell’esercizio 1: si mette il …le di testo indicatori_benessere.txt (salvato da Excel) nella cartella del presente esercizio, si esegue “cambia cartella”dal menu “…le”, posizionandosi nella cartella giusta, poi si usa IB
6.5. ESERCIZI 367 Le correlazioni sono abbastanza buone, se confrontate coi valori descritti nella prima sezione di questo capitolo. Ha senso fare una regressione tipo T D = a SA:SC + b? E viceversa? Ragionare sul signi…cato della regressione. Eseguiamo PCA
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Elementi di Probabilità, Statistic
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iv INDICE 1.2.16 Disuguaglianza di
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vi INDICE 4.2.11 Densità spettrale
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viii INDICE 6.3.7 Loadings, rotazio
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x PREFAZIONE
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2 CAPITOLO 1. ELEMENTI DI CALCOLO D
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10 CAPITOLO 1. ELEMENTI DI CALCOLO
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114 CAPITOLO 2. ELEMENTI DI STATIST
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146 CAPITOLO 3. PROCESSI STOCASTICI
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190 CAPITOLO 4. ANALISI E PREVISION
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266 CAPITOLO 5. SISTEMI MARKOVIANI
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