test_that("OVL.KPB() returns a list", {
  output_list <- OVL.KPB(x=test_data$controls,y=test_data$cases)
  expect_type(output_list, "list")
})

test_that("OVL.KPB() returns a valid result", {
  output_list <- OVL.KPB(x=test_data$controls,y=test_data$cases)
  expect_true(output_list[[1]] <= output_list[[2]] & output_list[[1]] >= 0 & output_list[[2]]<=1)
})

test_that("OVL.KPB() returns a valid result", {
  set.seed(1)
  output_list <- OVL.KPB(x=rnorm(50,0,1),y=rnorm(50,0.5,0.5),k=2)
  expect_true(output_list[[1]] <= output_list[[2]] & output_list[[1]] >= 0 & output_list[[2]]<=1)
})

test_that("OVL.KPB() returns a list", {
  set.seed(1)
  output_list <- OVL.KPB(x=rnorm(50,280,10),y=rnorm(50,0,1))
  expect_type(output_list, "list")
})


test_that("OVL.KPB()returns a list", {
  set.seed(1)
  output_list <- OVL.KPB(x=rnorm(50,80,10),y=rnorm(50,80.2,11))
  expect_type(output_list, "list")
})