AA {LambertW}R Documentation

Australian athletes data set

Description

These data were collected in a study of how data on various characteristics of the blood varied with sport body size and sex of the athlete. Equivalent to the ais dataset in the DAAG package.

Usage

data(AA)

Format

A data frame with 202 observations on the following 13 variables.

rcc
red blood cell count, in 10^{12} l^{-1}
wcc
while blood cell count, in 10^{12} per liter
hc
hematocrit, percent
hg
hemaglobin concentration, in g per decaliter
ferr
plasma ferritins, ng dl^{-1}
bmi
Body mass index, kg cm^{-2} 10^2
ssf
sum of skin folds
pcBfat
percent Body fat
lbm
lean body mass, kg
ht
height, cm
wt
weight, kg
sex
a factor with levels f m
sport
a factor with levels B_Ball Field Gym Netball Row Swim T_400m T_Sprnt Tennis W_Polo

Details

Do blood hemoglobin concentrations of athletes in endurance-related events differ from those in power-related events?

Source

These data were the basis for the analyses that are reported in Telford and Cunningham (1991).

References

Telford, R.D. and Cunningham, R.B. 1991. Sex, sport and body-size dependency of hematology in highly trained athletes. Medicine and Science in Sports and Exercise 23: 788-794.

Examples

data(AA)
attach(AA)
X=AA[AA$sex=="f",]
y=X$bmi

op=par(no.readonly=TRUE)
par(mfrow=c(2,1), mar=c(2,4,3,1))
plot(y)
hist(y, prob=TRUE, 15)
lines(density(y))
par(op)

fit.gmm=IGMM(y)
summary(fit.gmm) # Delta is significant and positive
plot(fit.gmm)
# Comparison of Theoretical and Empirical Moments
mom.LambertW.X.Gauss(fit.gmm$theta)
rbind(mean(y), sd(y), skewness(y), kurtosis(y))

x=get.input(y, fit.gmm$theta)$x

op=par(no.readonly=TRUE)
par(mfrow=c(2,1), mar=c(2,4,3,1))
plot(x)
hist(x, prob=TRUE, 15)
lines(density(x))
par(op)

plot(fit.gmm)

[Package LambertW version 0.1.6 Index]