OneTwo {LBI}

Likelihood Ratio Test for One group vs Two group gaussian mixture model

Description

With a given vector, it performs likelihood ratio test which model - one or two group - is better.

Usage

  OneTwo(x, alpha=0.05)

Arguments

x

a vector of numbers

alpha

alpha value for type I error, significance level

Details

It performs likelihood ratio test using both F distribution and Chi-square distribution (by Wilks' theorem).

Value

Estimate

n, Mean, SD for each group assumption and prior probability of each group in two group model

Delta

delta number of parameters and log-likelihoods

Statistic

Statistics from both the F distribution and Chi-square distribtuion. Cutoff is in terms of log-likelihood not the statistic.

Author(s)

Kyun-Seop Bae [e-mail]

Examples

  OneTwo(c(7, 5, 17, 13, 16, 5, 7, 3, 8, 10, 8, 14, 14, 11, 14, 17, 2, 12, 15, 19))
  OneTwo(c(5, 3, 0, 6, 5, 2, 6, 6, 4, 4, 15, 13, 18, 18, 19, 14, 19, 13, 19, 18))