Ordinal (cumulative) logit utilities

Cumulative probability (equation 5.6), cumulative logit (5.7) and the two threshold parameterizations tau plus or minus Xb (5.8, 5.9). Mirrors ca5e6 to ca5e9.

Usage

morie_ordinal_logit_ca(probs, m, tau_m = 0, xb = 0)

Arguments

probs

Category probabilities summing to one.

m

Category index (1-based, at most length(probs) - 1).

tau_m

Threshold.

xb

Linear predictor value.

Value

List with cum_prob, cum_logit, logit_plus, logit_minus.

Examples

morie_ordinal_logit_ca(probs = c(0.2, 0.5, 0.3), m = 2,
                       tau_m = 1.1, xb = 0.4)
#> $cum_prob
#> [1] 0.7
#> 
#> $cum_logit
#> [1] 0.8472979
#> 
#> $logit_plus
#> [1] 1.5
#> 
#> $logit_minus
#> [1] 0.7
#>