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#' ANOVA summary for a two-way table, including Tukey Additivity Test
#'
#' Test for a 1-df interaction in two-way ANOVA table by the Tukey test.
#'
#' @details At present, this function simply gives the results of the ANOVAs for the additive model, the model including the 1 df
#' term for non-additivity, and an \code{anova()} comparison of the two.
#' The analysis is based on row and column means.
#'
#' @param object a \code{class("twoway")} object
#' @param ... other arguments passed down, but not used here
#' @author Michael Friendly
#' @importFrom stats anova aov
#' @export
#' @examples
#' data(sentRT)
#' sent.2way <- twoway(sentRT)
#' anova(sent.2way)
anova.twoway <- function(object, ...) {
# r <- length(object$row)
# c <- length(object$col)
#
# fit <- outer(object$row, object$col, "+") + object$overall
# dat <- fit + object$residuals
#
# sse <- sum(object$residuals^2)
# dfe <- ( r - 1 ) * ( c - 1 )
#
# ssrow <- c * sum(object$row^2)
# sscol <- r * sum(object$col^2)
if (object$method == "median") warning("The anova method is not appropriate for analysis by medians.\nThis analysis uses means.")
z <- as.data.frame(object)
aov1 <- anova(mod1 <- aov(data ~ row + col, data=z))
aov2 <- anova(mod2 <- aov(data ~ row + col + nonadd, data=z))
aov3 <- anova(mod1, mod2)
info <- paste0('Dataset: ', object$name, '; ', 'method: "', object$method, '"\n\n')
cat(info)
attr(aov1, "heading") <- "Analysis of Variance Table, assuming additivity\n"
print(aov1)
# cat("\nNon-Additive model", info, "\n")
cat("\n\n")
attr(aov2, "heading") <- "Analysis of Variance Table, allowing non-additivity\n"
rownames(aov2)[4] <- "pure error"
print(aov2)
# cat("\nTukey test for non-additivity\n")
# anova(mod1, mod2)
}
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