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Compares the partial bivariate patterns B1, B2, and B3 using AIC and returns the selected pattern.

Usage

partialPattern(empirical)

Arguments

empirical

An empirical bivariate count matrix with 16 rows and 2 columns, as returned by countEmpBivariate.

Value

A list with class c("dyadic_pattern", "list") containing components aic (a data frame with candidate patterns and AIC values), pattern (the selected pattern label), and call. It remains usable as an ordinary list. When empirical was created by countEmpBivariate(), its stored sequence metadata is propagated so that plot() can display the four observed state strips.

Details

Conditional on the partial bivariate case, the G-squared deviance is computed for each B1, B2, and B3 candidate before calculating $$AIC = G^2 + 2k,$$ where $$G^2 = 2 \sum_{ij} O_{ij} \log(O_{ij} / E_{ij}).$$ The candidate with the smallest AIC is selected. If candidates have exactly equal AIC values, the first candidate in the documented comparison order is selected.

Examples

chainFM_V1 <- c(1L, 2L, 1L, 2L, 2L, 1L)
chainSM_V1 <- c(2L, 1L, 2L, 1L, 1L, 2L)
chainFM_V2 <- c(1L, 1L, 2L, 2L, 1L, 2L)
chainSM_V2 <- c(2L, 2L, 1L, 1L, 2L, 1L)
emp <- countEmpBivariate(
  chainFM_V1, chainSM_V1, chainFM_V2, chainSM_V2,
  states = 2L
)
partialPattern(emp)
#> Dyadic interaction pattern
#> Pattern: partial actor only (B2)