daewr (version 1.0-1)

Tukey1df: This function performs Tukey's single degree of freedom test for interaction in an unreplicated two-factor design

Description

This function performs Tukey's single degree of freedom test for interaction in an unreplicated two-factor design

Usage

Tukey1df(data)

Arguments

data

input - this is a data frame with three variables, the first variable is a numeric response and next two variables are factors. There should be $ab$ lines in the data frame where $a$ is the number of levels of the first factor, and $b$ is the number of le

Examples

##---- Should be DIRECTLY executable !! ----
##-- ==>  Define data, use random,
##--	or do  help(data=index)  for the standard data sets.

## The function is currently defined as
function (data) 
{
    y <- data[, 1]
    Afactor <- data[, 2]
    Bfactor <- data[, 3]
    tst1 <- is.factor(Afactor)
    tst2 <- is.factor(Bfactor)
    tst3 <- is.numeric(y)
    if (tst1 & tst2 & tst3) {
        a <- nlevels(Afactor)
        b <- nlevels(Bfactor)
    }
    else {
        stop("The first column of the data frame is the numeric response, 
		the 2nd and 3rd columns should be coded as factors")
    }
    tst4 <- max(a, b) > 2
    tst5 <- length(y) == a * b
    if (tst4 & tst5) {
        ybb <- with(data, tapply(y, Bfactor, mean))
        yba <- with(data, tapply(y, Afactor, mean))
        sbb <- with(data, tapply(y, Bfactor, sum))
        sba <- with(data, tapply(y, Afactor, sum))
        ybardd <- mean(y)
        CT <- (sum(y)^2)/(a * b)
        ssA <- sum(sba^2/b) - CT
        ssB <- sum(sbb^2/a) - CT
        ssE <- sum(y^2) - CT - ssA - ssB
        ybdj <- rep(ybb, 6)
        prody <- y * ybdj
        sumprod <- tapply(prody, Afactor, sum)
        leftsum <- sum(sumprod * yba)
        ssAB <- (a * b * (leftsum - (ssA + ssB + a * b * ybardd^2) * 
            ybardd)^2/(ssA * ssB))
        ssR <- ssE - ssAB
        F <- ssAB/(ssR/((a - 1) * (b - 1) - 1))
        Pval <- 1 - pf(1, ((a - 1) * (b - 1) - 1), F)
        cat("Source           df     SS        MS        F     Pr>F", 
            "")
        cat("A            ", paste(format(a - 1, width = 6), 
            "", format(round(ssA, 4), justify = "right"), "", 
            format(round(ssA/(a - 1), 4), justify = "right"), 
            ""), sep = "")
        cat("B            ", paste(format(b - 1, width = 6), 
            "", format(round(ssB, 4), justify = "right"), "", 
            format(round(ssB/(b - 1), 4), justify = "right"), 
            ""), sep = "")
        cat("Error        ", paste(format((b - 1) * (a - 1), 
            width = 6), "", format(round(ssE, 4), justify = "right"), 
            "", format(round(ssE/(a - 1) * (b - 1), 4), justify = "right"), 
            ""), sep = "")
        cat("NonAdditivity", paste(format(1, width = 6), "", 
            format(round(ssAB, 4), justify = "right"), "", 
            format(round(ssAB, 4), justify = "right"), "", 
            format(round(F, 2), justify = "right"), "", format(round(Pval, 
                4), justify = "right"), ""), sep = "")
        cat("Residual     ", paste(format((b - 1) * (a - 1) - 
            1, width = 6), "", format(round(ssR, 4), justify = "right"), 
            "", format(round(ssR/((a - 1) * (b - 1) - 1), 4), 
                justify = "right"), ""), sep = "")
    }
    else {
        stop("This function only works for unreplicated 2-factor 
		factorials with >2 levels for one of the factors")
    }
  }