Skip to contents

A data.frame with binary response and explanatory variables generated from multivariate normal distribution \(N(\boldsymbol{0}, \boldsymbol{\Sigma})\), where\(\boldsymbol{\Sigma}_{ij}=0.5^{I(i\neq j)}, i,j=1,\dots,7.\) The probability of the class label being 1 for a point \(\boldsymbol{x}\) is \(h(\boldsymbol{x}, \boldsymbol{\beta}) = 1/(1 + \exp(−\boldsymbol{x}^{T}\boldsymbol{\beta}))\), where \(\boldsymbol{\beta}\) is a 7 \(\times\) 1 vector of 0.5.

Usage

data_binary_class

Format

data_binary_class

A data frame with 10000 rows and 7 columns:

X1-X6

explanatory variables generated from multivariate normal distribution

y

response variable