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hetboot <- function(x, ina, B = 999) {
x <- x[order(ina), ]
ina <- as.numeric(ina)
ina <- sort(ina)
ni <- tabulate(ina)
k <- length(ni)
dm <- dim(x)
p <- dm[2] ## dimensionality of the data
n <- dm[1] ## sample size of the data
kapa <- numeric(k)
mi <- rowsum(x, ina) / ni
Ri <- sqrt( Rfast::rowsums(mi^2) )
S <- Rfast::colsums(x)
R <- sqrt( sum(S^2) )
m <- S/R
for (j in 1:k) kapa[j] <- Directional::vmf.mle( x[ina == j, ], fast = TRUE )$kappa
tw <- Rfast::colsums(kapa * ni * mi)
Tt <- sum( kapa * ni * sqrt( Rfast::rowsums(mi^2) ) ) - sqrt( sum(tw^2) )
mi <- mi/Ri
y <- list()
for (j in 1:k) {
rot <- t( Directional::rotation(mi[j, ], m) )
y[[ j ]] <- x[ina == j, ] %*% rot
}
tb <- numeric(B)
for (i in 1:B) {
yb <- NULL
for (j in 1:k) {
b <- Rfast2::Sample.int(ni[j], ni[j], replace = TRUE)
yb <- rbind( yb, y[[ j ]][b, ] )
kapa[j] <- Directional::vmf.mle( y[[ j ]][b, ], fast = TRUE )$kappa
}
mi <- rowsum(yb, ina) / ni
tw <- Rfast::colsums(kapa * ni * mi)
tb[i] <- sum( kapa * ni * sqrt( Rfast::rowsums(mi^2) ) ) - sqrt( sum(tw^2) )
}
p.value <- ( sum(tb > Tt) + 1 ) / (B + 1)
statistic <- 2 * Tt ; names(statistic) <- "Bootstrap het test statistic"
parameter <- "NA" ; names(parameter) <- "df"
alternative <- "At least one directional mean vector differs"
method <- "Bootstrap ANOVA for directional data using the heterogeneous approach"
data.name <- c("data ", " groups")
result <- list( statistic = statistic, parameter = parameter, p.value = p.value,
alternative = alternative, method = method, data.name = data.name )
class(result) <- "htest"
return(result)
}
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