A data frame with 251 observations on the following 4 variables.
bflow
the blood flow measured invasively using radioactively labelled micro-spheres
PET60
is the blood flow measured non-invasively by positron emission tomography using a scan
up to 60 seconds
PETother
?
PET510
is the blood flow measured non-invasively by positron emission tomography using a scan
up to 510 seconds
Details
The blood flow data were analyzed by Lange et al. (1989), Jones and Faddy (2003) and Rigby and Stasinopoulos (2006).
As response variables y the variables PET60, PETother, PET510
can be used representing blood flow
measured non-invasively by positron emission tomography using a scan
up to 60 seconds (PET60) or 510 second (PET510) respectively. The explanatory variable x is the blood
flow measured invasively using radioactively labelled micro-spheres.
The distribution of y has previously been modelled by a normal (NO) and a t family
distribution (TF), Lange et al. (1989), and by a skew t
distribution (ST), Jones and Faddy (2003) and by Rigby and Stasinopoulos (2006) using several three and four parameter distributions,
including the Box-Cox power exponential (BCPE), Rigby and Stasinopoulos (2004) and the Box-Cox t diastribution (BCT) .
References
Jones, M. C. and Faddy, M. J. (2003). A skew extension of the t
distribution, with applications. J. Roy. Statist. Soc B, 65, 159-174.
Lange, K. L., Little, R. J. A. and Taylor, J. M. G. (1989).
Robust statistical modelling using the t distribution. J. Am. Statist.
Ass., 84, 881-896.
Rigby, R.A. Stasinopoulos, D.M. (2006). Using the Box-Cox t distribution in GAMLSS to mode skewnees and and kurtosis.
to appear in Statistical Modelling.