cities | R Documentation |
Airline distances between 11 US cities may be used as an example for multidimensional scaling or cluster analysis.
data(cities)
A data frame with 11 observations on the following 11 variables.
ATL
Atlana, Georgia
BOS
Boston, Massachusetts
ORD
Chicago, Illinois
DCA
Washington, District of Columbia
DEN
Denver, Colorado
LAX
Los Angeles, California
MIA
Miami, Florida
JFK
New York, New York
SEA
Seattle, Washington
SFO
San Francisco, California
MSY
New Orleans, Lousianna
An 11 x11 matrix of distances between major US airports. This is a useful demonstration of multiple dimensional scaling.
city.location is a dataframe of longitude and latitude for those cities.
Note that the 2 dimensional MDS solution does not perfectly capture the data from these city distances. Boston, New York and Washington, D.C. are located slightly too far west, and Seattle and LA are slightly too far south.
https://www.timeanddate.com/worldclock/distance.html
data(cities)
city.location[,1] <- -city.location[,1] #included in the cities data set
plot(city.location, xlab="Dimension 1", ylab="Dimension 2",
main ="Multidimensional scaling of US cities")
#do the mds
city.loc <- cmdscale(cities, k=2) #ask for a 2 dimensional solution round(city.loc,0)
city.loc <- -city.loc #flip the axes
city.loc <- psych::rescale(city.loc,apply(city.location,2,mean),apply(city.location,2,sd))
points(city.loc,type="n") #add the date point to the map
text(city.loc,labels=names(cities))
## Not run: #we need the maps package to be available
#an overlay map can be added if the package maps is available
if(require(maps)) {
map("usa",add=TRUE)
}
## End(Not run)
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