Become an expert in R — Interactive courses, Cheat Sheets, certificates and more!
Get Started for Free

multinomial

Estimate probabilities in contingency table


Description

Estimate probabilities in contingency table

Usage

multinomial(
  x,
  data = parent.frame(),
  marginal = FALSE,
  transform,
  vcov = TRUE,
  iid = TRUE,
  ...
)

Arguments

x

Formula (or matrix or data.frame with observations, 1 or 2 columns)

data

Optional data.frame

marginal

If TRUE the marginals are estimated

transform

Optional transformation of parameters (e.g., logit)

vcov

Calculate asymptotic variance (default TRUE)

iid

Return iid decomposition (default TRUE)

...

Additional arguments to lower-level functions

Author(s)

Klaus K. Holst

Examples

set.seed(1)
breaks <- c(-Inf,-1,0,Inf)
m <- lvm(); covariance(m,pairwise=TRUE) <- ~y1+y2+y3+y4
d <- transform(sim(m,5e2),
              z1=cut(y1,breaks=breaks),
              z2=cut(y2,breaks=breaks),
              z3=cut(y3,breaks=breaks),
              z4=cut(y4,breaks=breaks))

multinomial(d[,5])
(a1 <- multinomial(d[,5:6]))
(K1 <- kappa(a1)) ## Cohen's kappa

K2 <- kappa(d[,7:8])
## Testing difference K1-K2:
estimate(merge(K1,K2,id=TRUE),diff)

estimate(merge(K1,K2,id=FALSE),diff) ## Wrong std.err ignoring dependence
sqrt(vcov(K1)+vcov(K2))

## Average of the two kappas:
estimate(merge(K1,K2,id=TRUE),function(x) mean(x))
estimate(merge(K1,K2,id=FALSE),function(x) mean(x)) ## Independence
##'
## Goodman-Kruskal's gamma
m2 <- lvm(); covariance(m2) <- y1~y2
breaks1 <- c(-Inf,-1,0,Inf)
breaks2 <- c(-Inf,0,Inf)
d2 <- transform(sim(m2,5e2),
              z1=cut(y1,breaks=breaks1),
              z2=cut(y2,breaks=breaks2))

(g1 <- gkgamma(d2[,3:4]))
## same as
## Not run: 
gkgamma(table(d2[,3:4]))
gkgamma(multinomial(d2[,3:4]))

## End(Not run)

##partial gamma
d2$x <- rbinom(nrow(d2),2,0.5)
gkgamma(z1~z2|x,data=d2)

lava

Latent Variable Models

v1.6.10
GPL-3
Authors
Klaus K. Holst [aut, cre], Brice Ozenne [ctb], Thomas Gerds [ctb]
Initial release
2021-09-01

We don't support your browser anymore

Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.