Vaso Constriction Skin Data Set

Description

Finney's data on vaso constriction in the skin of the digits.

Usage

data(vaso, package="robustbase")

Format

A data frame with 39 observations on the following 3 variables.

Volume

Inhaled volume of air

Rate

Rate of inhalation

Y

vector of 0 or 1 values.

Details

The data taken from Finney (1947) were obtained in a carefully controlled study in human physiology where a reflex “vaso constriction” may occur in the skin of the digits after taking a single deep breath. The response y is the occurence (y = 1) or non-occurence (y = 0) of vaso constriction in the skin of the digits of a subject after he or she inhaled a certain volume of air at a certain rate. The responses of three subjects are available. The first contributed 9 responses, the second contributed 8 responses, and the third contributed 22 responses.

Although the data represent repeated measurements, an analysis that assumes independent observations may be applied, as claimed by Pregibon (1981).

Source

Finney, D.J. (1947) The estimation from individual records of the relationship between dose and quantal response. Biometrika 34, 320–334

References

Atkinson, A.C. and Riani, M. (2000) Robust Diagnostic Regression Analysis, First Edition. New York: Springer, Table A.23.

Fahrmeir, L. and Tutz, G. (2001) Multivariate Statistical Modelling Based on Generalized Linear Models, Springer, Table 4.2.

Kuensch, H.R., Stefanski, A. and Carrol, R.J. (1989) Conditionally unbiased bounded influence estimation in general regression models, with applications to generalized linear models, JASA 84, 460–466.

Pregibon, D. (1981) Logistic regression diagnostics, Annals of Statistics 9, 705–724.

Examples

data(vaso)
str(vaso)
pairs(vaso)

glmV <- glm(Y ~ log(Volume) + log(Rate), family=binomial, data=vaso)
summary(glmV)
## -->  example(glmrob)  showing classical & robust GLM