Using R for Introductory Statistics : John Verzani

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Index 397command line, 411>, 5confidence ellipse, 300confidence interval, 184, 185t-based, 190TukeyHSD(), 328difference of means, 201<strong>for</strong> proportion, 184nonparametric, 207regression coefficients, 292contingency tables, 106CRAN, 23critical values, 215cumulative distribution function, 266data frame, 113data recycling, 11, 122data sets in <strong>Using</strong>RBushApproval, 199MLBAttend, 330MLBattend, 40, 130, 283, 311OBP, 54, 58, 226age.universe, 181alaska.pipeline, 299, 300alltime.movies, 65babies, 109, 117, 206, 226, 232, 247, 275, 301, 326, 334, 347babyboom, 67, 273batting, 90, 103baycheck, 312best.times, 299breakdown, 104bright.stars, 256brightness, 68, 195, 275bumpers, 66bycatch, 176cabinet, 55, 211cancer, 113, 114, 129carsafety, 112, 135, 322, 331central.park.cloud, 32central.park, 35, 39cf b, 46, 63, 67, 124, 212, 335coins, 75deflection, 298, 300, 311diamond, 103dvdsales, 76, 125emissions, 99, 287ewr, 108, 115, 118, 123, 125, 329exec.pay, 51, 55, 68, 232father.son, 159fat, 89, 102, 311female, inc, 135, 322
Index 398firstchi, 66five.yr.temperature, 101florida, 76, 97galileo, 304, 310galton, 89, 90, 248, 284, 299grades, 71grip, 342hall.fame, 67, 124, 322, 357healthy, 357homedata, 82, 89, 92, 195, 298kid.weights, 42, 85, 95, 134, 135, 195, 334last.tie, 62lawsuits, 67, 68, 178mandms, 30, 255math, 66maydow, 84midsize, 358mw.ages, 104nba.draft, 148normtemp, 66, 82, 89, 125, 195, 226, 247, 275, 335npdb, 40, 55, 130, 331nyc.2002, 199nym.2002, 30, 54, 67, 89, 334oral.lesion, 265pi2000, 54, 55, 66, 68, 255primes, 29reaction.time, 80reddrum, 358salmon.rate, 231samhda, 112, 221, 253, 261scrabble, 256stud.recs, 81, 195, 226, 269, 270, 272, 275, 302, 309student.expenses, 105tastesgreat, 356too.young, 103twins, 81, 89u2, 125, 211urchin.growth, 354yellowfin, 353data vector, 9, 138degrees of freedom, 290density, 145density estimate, 60distribution of a random variable, 141dot chart, 37empirical distribution, 266error sum of squares, 314error term, 90ESS, 360, 371, 396external packages, 23, 362
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Using R for Introductory Statistics
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This edition published in the Taylo
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PrefaceWhat is R?R is a computer la
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Web accompanimentsThe home page for
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Chapter 1Data1.1 What is data?When
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Data 3Journal of Economics that leg
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Data 5When R starts, it searches fo
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Data 71.2.3 AssignmentIt is often c
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Data 9Giving data vectors named ent
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Data 11> x = c(2,3,5,7,11)> xbar =
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Data 13Simple sequences A sequence
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Data 153. Find the differences of t
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Data 17> ebay[−1] # all but the f
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Data 19empty vector if i=0x[c (2, 3
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Data 21Many R functions have an arg
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Data 231.4 Reading in other sources
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Data 25A convenient method, which r
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Data 27Using source () to read in R
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Data 291.4.4 Problems1.20 The built
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Chapter 2Univariate dataIn statisti
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Univariate data 33The table() funct
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Univariate data 35There are names o
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Univariate data 37Why are pie chart
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Univariate data 392.5 Web developer
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Univariate data 4121:Read 20 items>
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Univariate data 43compare different
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Univariate data 45Figure 2.8 The me
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Univariate data 47numbers first and
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Univariate data 49> var(test.scores
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Univariate data 51As with the quant
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Univariate data 532.13 Can you copy
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Univariate data 55Comment on any pa
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Univariate data 57> hist(waiting) #
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Univariate data 59Figure 2.13 Frequ
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Univariate data 61Figure 2.15 Galax
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Univariate data 63Figure 2.17 Amoun
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Univariate data 652.3.4 Problems2.3
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Chapter 3Bivariate dataThis chapter
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Bivariate data 69> colnames(x) = c(
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Bivariate data 71unbuckled 56 8 64b
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Bivariate data 73Figure 3.1 Segment
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Bivariate data 75interested in comp
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Bivariate data 77> stripchart(list(
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Bivariate data 79Figure 3.5 Six qqn
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Bivariate data 81Figure 3.6 Assesse
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Bivariate data 83> plot(height, wei
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Bivariate data 85correlation only i
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Bivariate data 873.17 The data set
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Bivariate data 89Figure 3.10 Predic
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Bivariate data 91That is, the y-val
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Bivariate data 93■ Example 3.6: K
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Bivariate data 95[1] 13 50> florida
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Bivariate data 97Just like the mean
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Bivariate data 99Figure 3.16 Temper
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Bivariate data 101produce a scatter
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Multivariate data 10310 Y N Y N Nan
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Multivariate data 105Figure 4.1 Tax
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Multivariate data 107> plot(gestati
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Multivariate data 109Make the above
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Multivariate data 111One difference
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Multivariate data 113Accessing a da
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Multivariate data 115Figure 4.4 Sca
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Multivariate data 117To illustrate,
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Multivariate data 119mtcars[[’mpg
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Multivariate data 121We can apply f
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Multivariate data 123appropriate. T
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Multivariate data 125pickup 70 71 5
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Multivariate data 1272 42 stomach
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Multivariate data 129make several p
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Multivariate data 131+ subset=(wt !
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Multivariate data 133When a factor
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Multivariate data 135Coercion is th
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Multivariate data 137[1,] 1 3 5 7[2
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Describing populations 1395.1.1 Dis
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Describing populations 141This is a
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Describing populations 1435.1.3 Sam
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Describing populations 1455.7 Toss
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Describing populations 147In R the
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Describing populations 149variance
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Describing populations 151> res = r
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Describing populations 153> hist(re
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Describing populations 155more woul
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Describing populations 157Figure 5.
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Describing populations 159use the n
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Chapter 6SimulationOne informal des
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Simulation 163Figure 6.2 Quantile-n
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Simulation 1656.4 Defining a functi
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Simulation 1676.4.3 The function bo
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Simulation 169> summary(res.25)Min.
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Simulation 1716.5.2 The geometric d
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Simulation 173> xbarstar = c()> for
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Simulation 1756.3 For what value of
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Simulation 177This function will do
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Confidence intervals 179Figure 7.1
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Confidence intervals 181which, when
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Confidence intervals 183In R this b
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Confidence intervals 185alternative
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Confidence intervals 1877.3 Confide
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Confidence intervals 189> zstar = q
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Confidence intervals 191correlates
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Confidence intervals 193In general,
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Confidence intervals 195contains th
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Confidence intervals 197distributed
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Confidence intervals 199mean of x m
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Confidence intervals 201in Table 7.
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Confidence intervals 203data is mor
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Confidence intervals 205−18 282sa
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Chapter 8Significance testsFinding
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Significance tests 209against the a
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Significance tests 2111. Identify H
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Significance tests 213simple random
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Significance tests 2158.5 On a numb
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Significance tests 217> mpg =c(11.4
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Significance tests 2198.16 We can p
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Significance tests 221Sign test for
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Significance tests 223parameters. A
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Significance tests 225A natural tes
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Significance tests 227audience at t
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Significance tests 229If the two va
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Significance tests 231Figure 8.5 De
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Significance tests 233H 0 :µ x =µ
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Significance tests 235Figure 8.6 Tw
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Significance tests 237group n sechi
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Chapter 9Goodness of fitIn this cha
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Goodness of fit 241This gives the t
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Goodness of fit 243The function ret
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Goodness of fit 2459.3 A package of
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Goodness of fit 247This is the squa
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Goodness of fit 249We now have all
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Goodness of fit 251whether any diff
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Goodness of fit 253Table 9.10 Accid
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Goodness of fit 255theoretical dens
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Goodness of fit 257D = 0.0745, p-va
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Goodness of fit 259A consequence is
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Goodness of fit 261( 78.69) ( 55.65
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Goodness of fit 2639.20 The rivers
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Linear regression 265response ~ pre
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Linear regression 26710.1.4 Using l
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Linear regression 269Extractor func
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Linear regression 271should be appr
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Linear regression 273The scale-loca
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Linear regression 275Figure 10.5 Fo
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Linear regression 277the simulation
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Linear regression 279Confidence int
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Linear regression 281Signif. codes:
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Linear regression 283Figure 10.7 Re
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Linear regression 285home in 1970.
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Linear regression 287Let Y be a res
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Linear regression 289Coefficients:(
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Linear regression 291+ tot=a+ for(i
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Linear regression 293Y i =β 0 +β
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Linear regression 295Call:lm(formul
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Linear regression 297Let y t be the
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Analysis of variance 299Figure 11.1
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Analysis of variance 301> SSE=(5-1)
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Analysis of variance 303163.2 173.3
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Analysis of variance 305can be perf
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Analysis of variance 307Repeat with
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Analysis of variance 309> dvalues i
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Analysis of variance 313> ewr.out=s
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Analysis of variance 31511.11 The T
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Analysis of variance 31911.24 The d
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Analysis of variance 321Signif. cod
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Analysis of variance 323factors, al
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Analysis of variance 325(Intercept)
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Chapter 12Two extensions of the lin
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Two extensions of the linear model
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Appendix AGetting, installing, and
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Appendix A 345A.1.4 Installing from
Page 359 and 360: Appendix BGraphical user interfaces
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Page 365 and 366: Appendix CTeaching with RUsing R in
Page 367 and 368: Appendix DMore on graphics with RTh
Page 369 and 370: Appendix D 358A device is set up wi
Page 371 and 372: Appendix D 360Adding a box around t
Page 373 and 374: Appendix D 362> x = seq(−2, 2, le
Page 375 and 376: Appendix D 364D.2 Creating new grap
Page 377 and 378: Appendix D 366Figure D.3 Per-capita
Page 380 and 381: Appendix EProgramming in ROne of R
Page 382 and 383: Appendix E 371arg1, arg2, arg3When
Page 384 and 385: Appendix E 373freedman-diaconis, sc
Page 386 and 387: Appendix E 375return(summary(x))sum
Page 388 and 389: Appendix E 377In this example varna
Page 390 and 391: Appendix E 379editor and ESS extend
Page 392 and 393: Appendix E 381[1] 26> size(data.fra
Page 394 and 395: Appendix E 383"[.String" = function
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Page 398 and 399: Appendix E 387For our String class
Page 400 and 401: Appendix E 389Now, instances of the
Page 402 and 403: Appendix E 391old.x=xx=x—(x^2—s
Page 404 and 405: Index 393heat.colors(), 378rainbow(
Page 406 and 407: Index 395pch=, 86, 378type=, 60, 86
Page 410 and 411: Index 399extra sum of squares, 307f
Page 412 and 413: Index 401robust statistic, 193sampl
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