![Page 1: ANOVA - UPF84.89.132.1/~satorra/dades/ANOVA2010.pdf · 2010-02-22 · TT 1 2.829 2.829 1.3579 0.2476 Residuals 74 154.153 2.083 anova(lm(P2 ~TT)) Analysis of Variance Table Response:](https://reader035.vdocumento.com/reader035/viewer/2022070904/5f6fdc60e0428d283f51df2f/html5/thumbnails/1.jpg)
Estadística Ciència Política Albert Satorra
ANOVA
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Anova: motivació
Estadística Ciència Política . Curs 2004-5 Albert Satorra/Cristina Rata
data = read.table("http://www.econ.upf.edu/~satorra/dades/NotesSemin12.tex", header=T)) > dades P1 P2 TT 1 4.5 5.5 0 26 6.0 5.0 0 .... 41 6.0 4.0 0 42 6.0 3.0 1 43 3.0 3.5 1 44 3.5 4.5 1 45 3.0 5.0 0 49 3.5 4.5 1
anova(lm(P1 ~TT)) Analysis of Variance Table
Response: P1 Df Sum Sq Mean Sq F value Pr(>F) TT 1 2.829 2.829 1.3579 0.2476 Residuals 74 154.153 2.083
anova(lm(P2 ~TT)) Analysis of Variance Table
Response: P2 Df Sum Sq Mean Sq F value Pr(>F) TT 1 55.837 55.837 40.724 1.366e-08 *** Residuals 74 101.462 1.371 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
lapply(split(P1,TT),mean) $`0` [1] 4.6225 $`1` [1] 4.236111
> lapply(split(P2,TT), mean) $`0` [1] 4.925 $`1` [1] 3.208333
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L’anàlisi de la variancia (ANOVA) X en diferents grups o poblacions: grups 1, 2, ... G. Mitjana de X en cada grup µg, g=1, …, G.
Hipòtesi nul.la
Ho: µ1 = µ2 = … = µG
Les dades
xij, i=1, 2, …., ng; g=1, 2, …, G
Estadística Ciència Política Albert Satorra
![Page 4: ANOVA - UPF84.89.132.1/~satorra/dades/ANOVA2010.pdf · 2010-02-22 · TT 1 2.829 2.829 1.3579 0.2476 Residuals 74 154.153 2.083 anova(lm(P2 ~TT)) Analysis of Variance Table Response:](https://reader035.vdocumento.com/reader035/viewer/2022070904/5f6fdc60e0428d283f51df2f/html5/thumbnails/4.jpg)
Estadística Ciència Política Albert Satorra
![Page 5: ANOVA - UPF84.89.132.1/~satorra/dades/ANOVA2010.pdf · 2010-02-22 · TT 1 2.829 2.829 1.3579 0.2476 Residuals 74 154.153 2.083 anova(lm(P2 ~TT)) Analysis of Variance Table Response:](https://reader035.vdocumento.com/reader035/viewer/2022070904/5f6fdc60e0428d283f51df2f/html5/thumbnails/5.jpg)
Estadística Ciència Política Albert Satorra
![Page 6: ANOVA - UPF84.89.132.1/~satorra/dades/ANOVA2010.pdf · 2010-02-22 · TT 1 2.829 2.829 1.3579 0.2476 Residuals 74 154.153 2.083 anova(lm(P2 ~TT)) Analysis of Variance Table Response:](https://reader035.vdocumento.com/reader035/viewer/2022070904/5f6fdc60e0428d283f51df2f/html5/thumbnails/6.jpg)
Hores davant de la TV
Estadística Ciència Política Albert Satorra
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Hores davant de la TV
Estadística Ciència Política Albert Satorra
> data= read.spss("http://www.econ.upf.edu/~satorra/dades/GSS.SAV", use.value.labels = TRUE, to.data.frame = FALSE,max.value.labels = Inf, trim.factor.names = FALSE,trim_values = TRUE, reencode = NA) > attach(data) > names(data) > logTV= log(TVHOURS +.1) > lm(logTV ~ SEX)
Call: lm(formula = logTV ~ SEX)
Coefficients: (Intercept) SEXFemale 0.84173 0.02141
> anova(lm(logTV ~ SEX)) Analysis of Variance Table
Response: logTV Df Sum Sq Mean Sq F value Pr(>F) SEX 1 0.17 0.17 0.2035 0.652 Residuals 1498 1238.17 0.83
> anova(lm(logTV ~ ZODIAC)) Analysis of Variance Table
Response: logTV Df Sum Sq Mean Sq F value Pr(>F) ZODIAC 12 6.07 0.51 0.6108 0.8346 Residuals 1487 1232.26 0.83 >
> anova(lm(logTV ~ AGE)) Analysis of Variance Table
Response: logTV Df Sum Sq Mean Sq F value Pr(>F) AGE 1 14.55 14.55 17.815 2.581e-05 *** Residuals 1498 1223.78 0.82 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 lm(logTV ~ AGE)
Call: lm(formula = logTV ~ AGE)
Coefficients: (Intercept) AGE 0.594980 0.005582
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Estadística Ciència Política Albert Satorra
![Page 9: ANOVA - UPF84.89.132.1/~satorra/dades/ANOVA2010.pdf · 2010-02-22 · TT 1 2.829 2.829 1.3579 0.2476 Residuals 74 154.153 2.083 anova(lm(P2 ~TT)) Analysis of Variance Table Response:](https://reader035.vdocumento.com/reader035/viewer/2022070904/5f6fdc60e0428d283f51df2f/html5/thumbnails/9.jpg)
GET
FILE='G:\Albert\Web\Estadistica\DataSets\GSS.SAV'.
GRAPH
/HISTOGRAM=rincom91 .
FREQUENCIES
VARIABLES=zodiac
/ORDER= ANALYSIS .
ONEWAY
rincom91 BY zodiac
/PLOT MEANS
/MISSING ANALYSIS .
EXAMINE
VARIABLES=rincom91 BY zodiac /PLOT=BOXPLOT/STATISTICS=NONE/NOTOTAL.
GRAPH
/ERRORBAR( CI 95 )= rincom91 BY zodiac . Estadística Ciència Política
Albert Satorra
![Page 10: ANOVA - UPF84.89.132.1/~satorra/dades/ANOVA2010.pdf · 2010-02-22 · TT 1 2.829 2.829 1.3579 0.2476 Residuals 74 154.153 2.083 anova(lm(P2 ~TT)) Analysis of Variance Table Response:](https://reader035.vdocumento.com/reader035/viewer/2022070904/5f6fdc60e0428d283f51df2f/html5/thumbnails/10.jpg)
Estadística Ciència Política Albert Satorra
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Exercici: feu el mateix per hores davant TV i VOT92
Estadística Ciència Política Albert Satorra
> dd=factor(as.character(VOTE92), exclude=c( "NAP" , "NOT ELIGIBLE", "REFUSED" , "DK" , "NA" )) > lm(logTV ~ dd)
Call: lm(formula = logTV ~ dd)
Coefficients: (Intercept) ddVOTED 0.9557 -0.1492
> anova(lm(logTV ~ dd)) Analysis of Variance Table
Response: logTV Df Sum Sq Mean Sq F value Pr(>F) dd 1 6.64 6.64 8.5176 0.003572 ** Residuals 1450 1130.52 0.78 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 >
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Estadística Ciència Política . Curs 2004-5 Albert Satorra/Cristina Rata
Tables of the F distribution
E:\Estadistica\TABLES.PDF
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Estadística Ciència Política Albert Satorra
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Estadística Ciència Política Albert Satorra