knitr::opts_chunk$set(echo = TRUE)
The example data below demonstrates that t.testing and anova can produce the same results. The p-values are the same.
library(tibble) example_data <- tibble(Group = rep(c("A","B"), each = 5), DV = c(2,4,3,5,4,7,6,5,6,7)) t.stat <-t.test(DV~Group, var.equal = TRUE, data = example_data) aov.stat <- summary(aov(DV~Group, data = example_data)) (round(t.stat$p.value, digits = 9) == round(aov.stat[[1]]$'Pr(>F)'[1], digits = 9))
The F statistic is the same as the t statistic squared.
((t.stat$statistic)^2 == round(aov.stat[[1]]$'F value'[1], digits = 1))
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