Nothing

```
n_x <- 125
n_y <- 85
mean_pop_x <- 10
mean_pop_y <- 5
sd_pop_x <- 7
sd_pop_y <- 7
delta <- mean_pop_x - mean_pop_y
sig_level <- 0.01
conf_level <- 0.99
x <- rnorm(n_x, mean_pop_x, sd_pop_x)
y <- rnorm(n_y, mean_pop_y, sd_pop_y)
# t_test from stats
t_test <- function(...) {
output <- stats::t.test(...)
lower_ci <- ifelse(is.na(output$conf.int[1]), -Inf, output$conf.int[1])
upper_ci <- ifelse(is.na(output$conf.int[2]), Inf, output$conf.int[2])
p_value <- output$p.value
statistic <- output$statistic
return(list(
statistic = statistic |> base::unname(),
p_value = p_value,
lower_ci = lower_ci,
upper_ci = upper_ci
))
}
# two.sided ---------------------------------------------------------------
output1 <- ht_2pop_mean(x, y, delta = delta, sig_level = sig_level, conf_level = conf_level, alternative = "two.sided", var_equal = TRUE)
output2 <- t_test(x, y, alternative = "two.sided", mu = delta, conf.level = conf_level, var.equal = TRUE)
testthat::test_that("ttest for comparing means when unknown and equal variances, decidision H0, alternative = 'two.sided'", {
testthat::expect_equal(output1$statistic, output2$statistic)
testthat::expect_equal(output1$p_value, output2$p_value)
testthat::expect_equal(output1$lower_ci, output2$lower_ci)
testthat::expect_equal(output1$upper_ci, output2$upper_ci)
})
# greater -----------------------------------------------------------------
output1 <- ht_2pop_mean(x, y, delta = delta, sig_level = sig_level, conf_level = conf_level, alternative = "greater", var_equal = TRUE)
output2 <- t_test(x, y, alternative = "greater", mu = delta, conf.level = conf_level, var.equal = TRUE)
testthat::test_that("ttest for comparing means when unknown and equal variances, decidision H0, alternative = 'greater'", {
testthat::expect_equal(output1$statistic, output2$statistic)
testthat::expect_equal(output1$p_value, output2$p_value)
testthat::expect_equal(output1$lower_ci, output2$lower_ci)
testthat::expect_equal(output1$upper_ci, output2$upper_ci)
})
# less --------------------------------------------------------------------
output1 <- ht_2pop_mean(x, y, delta = delta, sig_level = sig_level, conf_level = conf_level, alternative = "less", var_equal = TRUE)
output2 <- t_test(x, y, alternative = "less", mu = delta, conf.level = conf_level, var.equal = TRUE)
testthat::test_that("ttest for comparing means when unknown and equal variances, decidision H0, alternative = 'less'", {
testthat::expect_equal(output1$statistic, output2$statistic)
testthat::expect_equal(output1$p_value, output2$p_value)
testthat::expect_equal(output1$lower_ci, output2$lower_ci)
testthat::expect_equal(output1$upper_ci, output2$upper_ci)
})
```

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