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Quantitative
   Data Analysis

Data exploration and graphics
Is global warming real?




               http://chartgraphs.wordpress.com
Russian most extreme summer




                 http://joewheatley.net/russian-grain/
Is the world a fair place?




                 http://www.gapminder.org/world
Data exploration and graphics with R
acpclust.R
More links
http://www.statmethods.net/
http://addictedtor.free.fr/graphiques/
http://socserv.mcmaster.ca/jfox/Misc/Rcmdr/
Plots and charts
Low level functions
graphical parameters: par()
Lattice package
Curves and functions
x<-seq(-2,2,0.01)
y<-x^3-3*x
plot(x,y,type="l")

Or
curve(x^3-3*x, -2, 2)
Histogram
histogram




histogram(~Countries$Population|Countries$Region)
histogram
histogram
histogram(~Population|Region,data=Countries,
 col=2:6,panel=function(x,...,col) {
 panel.histogram(x,...,col=col[packet.number()])
})
Pie chart




data<-read.csv("datapiedata.csv",header=T)
pie(data$amounts,labels=as.character(data$names))
Boxplot/Barplot




             source("boxplot.R")
barplot




Barplot(tapply(Countries$Population,Countries$Region,sum) ,main="Population",col=rainbow(nlevels(Countries$Regi
scatterplots




           source(“scatterplot.R")
Bubble plot




              source("bubble.R")
Time series




              source(“ts.R”)
coplot




         source("ozone.R")
Interaction plot




             source("interaction.R")
Quantitative
Data Analysis

Data preprocessing
Missing values
Remove the cases with unknowns
Fill in the unknown values by exploring the properties of the variable
Fill in the unknown values by exploring the correlations between
variables
Fill in the unknown values by exploring the similarity between cases
Transformations of the response
   and explanatory variables
Linearize the relationship between the response and the explanatory
variables
logy against x for exponential relationships;
logy against logx for power functions;
expy against x for logarithmic relationships;
1/y against 1/x for asymptotic relationships;
logp/1−p againstx for proportion data.
Other transformations are useful for variance stabilization:
 √y to stabilize the variance for count data;
 arcsin(y) to stabilize the variance of percentage data.
Quantitative
Data Analysis

  Data modelling
Exponential functions




                        exp.R
Power functions




                  power.R
Polynomial functions




                   polinomials.R
Inverse polynomial




                     invpol.R
Gamma function




                 gamma.R
Asymptotic functions
Asymptotic functions




                   michaelis.R
Asymptotic functions




                       logistic.R
fitting1.R
fitting2.R
fitting3.R

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Data exploration and graphics with R