vas5: Visual analog scale (VAS) data
Description
In the original data 368 patients, measured at 18 times after
treatment with one of 7 drug treatments (including placebo), plus
a baseline measure (time=0) and one or more pre-baseline measures
(time=-1). Here for illustration we will ignore the repeated measure nature of the
data and we shall use data from time 5 only (364 observations).
The VAS scale response variable, Y, is assumed to be distributed
as BEINF(mu,sigma,nu,tau) where any of the
distributional parameters mu, sigma, nu and tau are
modelled as a constant or as a function of the treatment,docType
datasource
The data were provided by Dr. Peter LaneDetails
The Visual analog scale is used to measure pain and quality of
life. For example patients are required to indicate in a scale
from 0 to 100 the amount of discomfort they have. This can be
easily translated to a value from 0 to 1 and consequently analyzed
using the beta distribution. Unfortunately if 0's or 100's are
recorded the beta distribution is not appropriate since the values
0 and 1 are not allowed in the definition of the beta
distribution. Note that the inflated beta distribution
allows values at 0 and 1. This is a mixed distribution
(continuous and discrete) having four parameters, nu for
modelling the probability at zero p(Y=0) relative to p(0tau for modelling
the probability at one p(Y=1) relative to p(0mu and sigma for
modelling the between values, $0BE(mu,sigma) with mean mu and variance
sigma*mu*(1-mu).