irank_against: Compute integer ranks in another reference vector

In csranks: Statistical Tools for Ranks

Compute integer ranks in another reference vector

Description

The method irank compares ranks using the same vector as reference. irank_against returns integer ranks, that values from x would assume if (individually) inserted into v. frank_against acts analogously, returning fractional ranks.

Usage

irank_against(x, v, omega = 0, increasing = FALSE, na.rm = FALSE)

frank_against(x, v, omega = 0, increasing = FALSE, na.rm = FALSE)

Arguments

x	numeric query vector.
v	numeric reference vector.
omega	numeric value in [0,1], defining how ties in x (if any) are handled; default is 0. See Details.
increasing	logical; if FALSE (default), then large elements in x receive a small rank. Otherwise, large elements in x receive a large rank.
na.rm	logical; if TRUE, then NA's are removed from x. Default: FALSE.

Details

It's useful to think about frank_against(x,v) as a generalization of Empirical Cumulative Distribution Function, created for v and evaluated for points in x. frank_agaist(x,v,increasing=TRUE,omega=1) is identical to ecdf(v)(x).

increasing switches the inequality sign in ECDF definition from F_V(t) = \hat P(V <= t) to \hat P(V >= t).

omega=0 introduces the strict inequality (\hat P(V < t) instead of \hat P(V <= t)). Any omega in between is a weighted average of the cases omega=1 and omega=0.

Finally, irank_against is equal to frank_against multiplied by the length(v).

This particular choice of default parameters was made for compatibility with default parameters of irank and frank. irank(x) is always equal to irank_against(x,x) and frank(x) is always equal to frank_against(x,x).

Value

Numeric vector of the same length as x containing the integer (for irank_against) or fractional (for frank_against) ranks.

See Also

irank(), ecdf()

Examples

irank_against(1:10, c(4,4,4,3,1,10,7,7))

csranks documentation built on Sept. 13, 2024, 1:11 a.m.