R/ag.test.R

In onewaytests: One-Way Tests in Independent Groups Designs

ag.test <- function(formula, data, alpha = 0.05, na.rm = TRUE, verbose = TRUE) {
  
  data <- model.frame(formula, data)
  dp <- as.character(formula)
  DNAME <- paste(dp[[2L]], "and", dp[[3L]])
  
  METHOD <- "Alexander-Govern Test"
  
  if (na.rm){
    completeObs <- complete.cases(data)
    data <- data[completeObs,]
  }
  
  if (any(colnames(data)==dp[[3L]])==FALSE) stop("The name of group variable does not match the variable names in the data. The group variable must be one factor.")
  if (any(colnames(data)==dp[[2L]])==FALSE) stop("The name of response variable does not match the variable names in the data.")
  
  y = data[[dp[[2L]]]]
  group = data[[dp[[3L]]]]
  
  
  if (!(is.factor(group)|is.character(group))) stop("The group variable must be a factor or a character.") 
  if (is.character(group)) group <- as.factor(group)
  if (!is.numeric(y)) stop("The response must be a numeric variable.") 
  
  
  
  n <- length(y)
  x.levels <- levels(factor(group))
  y.means <- tapply(y, group, mean)
  y.n <- tapply(y, group, length)
  y.var <- tapply(y, group, var)
  y.se <- sqrt(y.var/y.n)
  
  w <- (1/y.se^2)/sum(1/y.se^2)
  
  y.plus <- sum(w * y.means)
  
  t <- (y.means - y.plus)/y.se
  
  
  a <- y.n - 1.5
  b <- 48*a^2
  c <- (a * log(1 + t^2/(y.n-1)))^(.5)
  z <- c + (c^3+3*c)/b - (4*c^7+33*c^5+240*c^3+855*c)/(10*b^2+8*b*c^4+1000*b)
  
  
  approx <- sum(z^2)
  df <- length(x.levels)-1
  p.value <- pchisq(approx, df=df, lower.tail=FALSE)
  
  
  
  if (verbose) {
    cat("\n", "",METHOD, paste("(alpha = ",alpha,")",sep = ""), "\n", 
        sep = " ")
    cat("-------------------------------------------------------------", 
        "\n", sep = " ")
    cat("  data :", DNAME, "\n\n", sep = " ")
    cat("  statistic  :", approx, "\n", sep = " ")
    cat("  parameter  :", df, "\n", sep = " ")
    cat("  p.value    :", p.value, "\n\n", sep = " ")
    cat(if (p.value > alpha) {
      "  Result     : Difference is not statistically significant."
    }
    else {
      "  Result     : Difference is statistically significant."
    }, "\n")
    cat("-------------------------------------------------------------", 
        "\n\n", sep = " ")
  }
  
  
  result <- list()
  result$statistic <- approx
  result$parameter <- df
  result$p.value <- p.value
  result$alpha <- alpha
  result$method <- METHOD 
  result$data <- data
  result$formula <- formula
  
  
  
  attr(result, "class") <- "owt"
  invisible(result)
  
  
  
  
  
}