Small survival dataset for the Cox section of the vignette.

A synthetic survival dataset used to illustrate pic() with the Cox family. It contains \(n = 250\) subjects observed on \(p = 50\) covariates, of which \(s = 5\) carry signal; the remaining 45 are noise.

Usage

CoxExample

Format

A list with two components:

X

Numeric matrix of dimension \(250 \times 50\) with column names gene_* and noise_*.

y

Numeric matrix of dimension \(250 \times 2\) with columns time and event.

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.

Event times are drawn from an exponential proportional-hazards model $$T_i \sim \mathrm{Exp}\!\bigl(e^{X_i\beta}\bigr),$$ and independent censoring times from \(C_i \sim \mathrm{Exp}(0.5)\). The observed response is the standard two-column \((\min(T_i, C_i),\, \mathbf{1}\{T_i \le C_i\})\). The censoring rate is roughly \(40\%\).

Examples

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