Small binary-classification dataset for the Binomial section of the vignette.

A synthetic logistic-regression dataset used to illustrate pic() with the Binomial family. It contains \(n = 300\) observations of \(p = 50\) predictors, of which \(s = 5\) carry signal; the remaining 45 are noise.

Usage

BinomialExample

Format

A list with two components:

X

Numeric matrix of dimension \(300 \times 50\) with column names gene_* and noise_*.

y

Integer vector of length \(300\) containing \(0/1\) class labels.

Details

Column names follow the same convention as QuickStartExample: active variables are labeled gene_1, ..., gene_5 and inactive ones noise_1, ..., noise_45, interleaved in random order.

The binary response is generated as $$Y_i \sim \mathrm{Bernoulli}\!\left(\frac{1}{1 + e^{-X_i\beta}}\right),$$ with non-zero coefficients drawn uniformly in \([1.5,\, 3]\) with random sign. The class balance is roughly \(45\%\) of positives.

Examples

data(BinomialExample)
fit <- pic(BinomialExample$X, BinomialExample$y, family = "binomial")
fit$selected
#> [1] "gene_1" "gene_2" "gene_3" "gene_4" "gene_5"