tests/testthat/test-corrsys-nb.R

skip_on_cran()
library("SimRepeat")
context("Simulate correlated system using method 1: NB only")

options(scipen = 999)
tol <- 1e-4

seed <- 276
n <- 10000
M <- 3
Time <- 1:M

# Error terms have a beta(4, 1.5) distribution with an AR(1, p = 0.4)
# correlation structure
error_type <- "non_mix"
B <- calc_theory("Beta", c(4, 1.5))
corr.e <- matrix(c(1, 0.4, 0.4^2,
                   0.4, 1, 0.4,
                   0.4^2, 0.4, 1), M, M, byrow = TRUE)
means <- lapply(seq_len(M), function(x) B[1])
vars <- lapply(seq_len(M), function(x) B[2]^2)
skews <- lapply(seq_len(M), function(x) B[3])
skurts <- lapply(seq_len(M), function(x) B[4])
fifths <- lapply(seq_len(M), function(x) B[5])
sixths <- lapply(seq_len(M), function(x) B[6])
Six <- lapply(seq_len(M), function(x) list(0.03))

mix_pis <- mix_mus <- mix_sigmas <- mix_skews <- mix_skurts <- mix_fifths <-
  mix_sixths <- mix_Six <- list()

marginal <- support <- list()
lam <- p_zip <- pois_eps <- list()

# NB variables
size <- lapply(seq_len(M), function(x) c(5, 10, 15))
mu <- lapply(seq_len(M), function(x) c(3, 5, 7))
prob <- mapply(function(x, y) x/(x + y), size, mu, SIMPLIFY = FALSE)
p_zinb <- list(0.1, 0.1, 0.1)
nb_eps <- list()

same.var <- 1

K <- 3
corr.x <- list()
corr.x[[1]] <- corr.x[[2]] <- corr.x[[3]] <- list()
corr.x[[1]][[1]] <- matrix(0.3, K, K)
diag(corr.x[[1]][[1]]) <- 1
corr.x[[1]][[2]] <- matrix(0.35, K, K)
corr.x[[1]][[3]] <- matrix(0.4, K, K)
colnames(corr.x[[1]][[1]]) <- rownames(corr.x[[1]][[1]]) <-
  rownames(corr.x[[1]][[2]]) <- rownames(corr.x[[1]][[3]]) <-
  paste("X1_", 1:ncol(corr.x[[1]][[1]]), sep = "")
colnames(corr.x[[1]][[2]]) <- paste("X2_", 1:ncol(corr.x[[1]][[2]]), sep = "")
colnames(corr.x[[1]][[3]]) <- paste("X3_", 1:ncol(corr.x[[1]][[3]]), sep = "")
corr.x[[1]][[2]][, same.var] <- corr.x[[1]][[3]][, same.var] <-
  corr.x[[1]][[1]][, same.var]

corr.x[[2]][[1]] <- t(corr.x[[1]][[2]])
corr.x[[2]][[2]] <- matrix(0.4, K, K)
diag(corr.x[[2]][[2]]) <- 1
corr.x[[2]][[3]] <- matrix(0.45, K, K)
colnames(corr.x[[2]][[2]]) <- rownames(corr.x[[2]][[2]]) <-
  rownames(corr.x[[2]][[3]]) <- colnames(corr.x[[1]][[2]])
colnames(corr.x[[2]][[3]]) <- colnames(corr.x[[1]][[3]])
corr.x[[2]][[2]][same.var, ] <- corr.x[[1]][[2]][same.var, ]
corr.x[[2]][[2]][, same.var] <- t(corr.x[[2]][[2]][same.var, ])
corr.x[[2]][[3]][, same.var] <- t(corr.x[[1]][[2]][same.var, ])
corr.x[[2]][[3]][same.var, ] <- corr.x[[1]][[3]][same.var, ]

corr.x[[3]][[1]] <- t(corr.x[[1]][[3]])
corr.x[[3]][[2]] <- t(corr.x[[2]][[3]])
corr.x[[3]][[3]] <- matrix(0.5, K, K)
diag(corr.x[[3]][[3]]) <- 1
colnames(corr.x[[3]][[3]]) <- rownames(corr.x[[3]][[3]]) <-
  colnames(corr.x[[1]][[3]])
corr.x[[3]][[3]][same.var, ] <- corr.x[[1]][[3]][same.var, ]
corr.x[[3]][[3]][, same.var] <- t(corr.x[[3]][[3]][same.var, ])

subj.var <- matrix(c(1, 2, 1, 3, 2, 2, 2, 3, 3, 2, 3, 3), 6, 2, byrow = TRUE)
int.var <- tint.var <- NULL
betas.0 <- 0
betas <- list(seq(0.5, 0.5 + (K - 1) * 0.25, 0.25))
betas.subj <- list(seq(0.5, 0.5 + (K - 2) * 0.1, 0.1))
betas.int <- list()
betas.t <- 1
betas.tint <- list(0.25)

method <- "Polynomial"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob = list(), mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob = list(), mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu = list(), p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu = list(), p_zinb, corr.x, corr.e)

prob <- list()

test_that("works for Polynomial method: 3 nb, same.var, subj.var,
          error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

method <- "Fleishman"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Fleishman method: 3 nb, same.var, subj.var,
          error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

int.var <- matrix(c(1, 2, 3, 2, 2, 3, 3, 2, 3), 3, 3, byrow = TRUE)
betas.int <- list(1)
betas.subj <- list(seq(0.5, 0.5 + (K - 1) * 0.1, 0.1))

method <- "Polynomial"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Polynomial method: 3 nb, same.var, subj.var, int.var,
          error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

method <- "Fleishman"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Fleishman method: 3 nb, same.var, subj.var, int.var,
          error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

tint.var = matrix(c(1, 2, 1, 3, 1, 4, 2, 2, 2, 3, 2, 4, 3, 2, 3, 3, 3, 4), 9,
  2, byrow = TRUE)
betas.tint <- list(c(0.25, 0.5, 0.75))

method <- "Polynomial"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Polynomial method: 3 nb, same.var, subj.var, int.var,
          tint.var, error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

method <- "Fleishman"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Fleishman method: 3 nb, same.var, subj.var, int.var,
          tint.var, error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

skews <- skurts <- fifths <- sixths <- Six <- list()
L <- calc_theory("Logistic", c(0, 1))
C <- calc_theory("Chisq", 4)
B <- calc_theory("Beta", c(4, 1.5))

mix_pis <- lapply(seq_len(M), function(x) list(c(0.3, 0.2, 0.5)))
mix_mus <- lapply(seq_len(M), function(x) list(c(L[1], C[1], B[1])))
mix_sigmas <- lapply(seq_len(M), function(x) list(c(L[2], C[2], B[2])))
mix_skews <- lapply(seq_len(M), function(x) list(c(L[3], C[3], B[3])))
mix_skurts <- lapply(seq_len(M), function(x) list(c(L[4], C[4], B[4])))
mix_fifths <- lapply(seq_len(M), function(x) list(c(L[5], C[5], B[5])))
mix_sixths <- lapply(seq_len(M), function(x) list(c(L[6], C[6], B[6])))
mix_Six <- lapply(seq_len(M), function(x) list(1.75, NULL, 0.03))
Mstcum <- calc_mixmoments(mix_pis[[1]][[1]], mix_mus[[1]][[1]],
  mix_sigmas[[1]][[1]], mix_skews[[1]][[1]], mix_skurts[[1]][[1]],
  mix_fifths[[1]][[1]], mix_sixths[[1]][[1]])

means <- lapply(seq_len(M), function(x) Mstcum[1])
vars <- lapply(seq_len(M), function(x) Mstcum[2]^2)

corr.e <- matrix(0.4, 9, 9)
colnames(corr.e) <- rownames(corr.e) <- c("E1_1", "E1_2", "E1_3", "E2_1",
  "E2_2", "E2_3", "E3_1", "E3_2", "E3_3")
corr.e[c("E1_1", "E1_2", "E1_3"), c("E1_1", "E1_2", "E1_3")] <- diag(3)
corr.e[c("E2_1", "E2_2", "E2_3"), c("E2_1", "E2_2", "E2_3")] <- diag(3)
corr.e[c("E3_1", "E3_2", "E3_3"), c("E3_1", "E3_2", "E3_3")] <- diag(3)
error_type = "mix"

method <- "Polynomial"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, N$E_mix, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, N2$E_mix, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Polynomial method: 3 nb, same.var, subj.var, int.var,
          tint.var, error mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][3, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][3, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[3, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[3, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

method <- "Fleishman"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, N$E_mix, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, N2$E_mix, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Fleishman method: 3 nb, same.var, subj.var, int.var,
          tint.var, error mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][3, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][3, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[3, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[3, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

# Error terms have a beta(4, 1.5) distribution with an AR(1, p = 0.4)
# correlation structure
error_type <- "non_mix"
B <- calc_theory("Beta", c(4, 1.5))
corr.e <- matrix(c(1, 0.4, 0.4^2,
                   0.4, 1, 0.4,
                   0.4^2, 0.4, 1), M, M, byrow = TRUE)
means <- lapply(seq_len(M), function(x) B[1])
vars <- lapply(seq_len(M), function(x) B[2]^2)
skews <- lapply(seq_len(M), function(x) B[3])
skurts <- lapply(seq_len(M), function(x) B[4])
fifths <- lapply(seq_len(M), function(x) B[5])
sixths <- lapply(seq_len(M), function(x) B[6])
Six <- lapply(seq_len(M), function(x) list(0.03))

mix_pis <- mix_mus <- mix_sigmas <- mix_skews <- mix_skurts <- mix_fifths <-
  mix_sixths <- mix_Six <- list()

# NB variables
size <- lapply(seq_len(M), function(x) 5)
mu <- lapply(seq_len(M), function(x) 3)
prob <- mapply(function(x, y) x/(x + y), size, mu, SIMPLIFY = FALSE)
p_zinb <- list(0.05, 0.05, 0.05)
nb_eps <- list()

corr.x <- lapply(seq_len(M), function(x) list(matrix(1, 1, 1), matrix(1, 1, 1),
  matrix(1, 1, 1)))

same.var <- 1
subj.var <- int.var <- tint.var <- NULL
betas <- list(0.5)
betas.subj <- betas.int <- list()
betas.tint <- list(0.25)

method <- "Polynomial"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu = list(), p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob = list(), mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Polynomial method: 1 nb all M, same.var,
          error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

method <- "Fleishman"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Fleishman method: 1 nb all M, same.var,
          error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

# NB variables
size <- list(NULL, 5, 5)
mu <- list(NULL, 3, 3)
prob <- list(NULL, 0.625, 0.625)
p_zinb <- list(0.05, 0.05, 0.05)
nb_eps <- list()

corr.x <- list(NULL, list(NULL, matrix(1, 1, 1), matrix(1, 1, 1)),
  list(NULL, matrix(1, 1, 1), matrix(1, 1, 1)))

same.var <- matrix(c(2, 1, 3, 1), 1, 4, byrow = TRUE)
subj.var <- int.var <- tint.var <- NULL
betas <- list(NULL, 0.5, 0.5)
betas.subj <- betas.int <- list()
betas.tint <- list(NULL, 0.25, 0.25)

method <- "Polynomial"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob = list(), mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu = list(), p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Polynomial method: Y1 no X, same.var,
          error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

method <- "Fleishman"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Fleishman method: Y1 no X, same.var,
          error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

# NB variables
size <- list(5, NULL, 5)
mu <- list(3, NULL, 3)
prob <- list(0.625, NULL, 0.625)
p_zinb <- list(0.05, NULL, 0.05)
nb_eps <- list()

corr.x <- list(list(matrix(1, 1, 1), NULL, matrix(1, 1, 1)), NULL,
  list(matrix(1, 1, 1), NULL, matrix(1, 1, 1)))

same.var <- matrix(c(1, 1, 3, 1), 1, 4, byrow = TRUE)
subj.var <- int.var <- tint.var <- NULL
betas <- list(0.5, NULL, 0.5)
betas.subj <- betas.int <- list()
betas.tint <- list(0.25, NULL, 0.25)

method <- "Polynomial"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Polynomial method: Y2 no X, same.var,
          error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

method <- "Fleishman"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Fleishman method: Y2 no X, same.var,
          error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

# NB variables
size <- list(5, 5, NULL)
mu <- list(3, 3, NULL)
prob <- list(0.625, 0.625, NULL)
p_zinb <- list(0.05, 0.05, NULL)
nb_eps <- list()

corr.x <- list(list(matrix(1, 1, 1), matrix(1, 1, 1), NULL),
  list(matrix(1, 1, 1), matrix(1, 1, 1), NULL), NULL)

same.var <- matrix(c(1, 1, 2, 1), 1, 4, byrow = TRUE)
subj.var <- int.var <- tint.var <- NULL
betas <- list(0.5, 0.5, NULL)
betas.subj <- betas.int <- list()
betas.tint <- list(0.25, 0.25, NULL)

method <- "Polynomial"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Polynomial method: Y3 no X, same.var,
          error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

method <- "Fleishman"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Fleishman method: Y3 no X, same.var,
          error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

M <- 2
Time <- 1:M
means <- lapply(seq_len(M), function(x) B[1])
vars <- lapply(seq_len(M), function(x) B[2]^2)
skews <- lapply(seq_len(M), function(x) B[3])
skurts <- lapply(seq_len(M), function(x) B[4])
fifths <- lapply(seq_len(M), function(x) B[5])
sixths <- lapply(seq_len(M), function(x) B[6])
Six <- lapply(seq_len(M), function(x) list(0.03))

# NB variables
size <- list(5, NULL)
mu <- list(3, NULL)
prob <- list(0.625, NULL)
p_zinb <- list()
nb_eps <- list()

corr.x <- list(list(matrix(1, 1, 1), NULL), NULL)

same.var <- NULL
subj.var <- int.var <- tint.var <- NULL
betas <- list(0.5, NULL)
betas.subj <- betas.int <- list()
betas.tint <- list(0.25, NULL)
corr.e <- corr.e[1:2, 1:2]

method <- "Polynomial"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Polynomial method: 1 X for Y1 only,
          error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04495033, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})

method <- "Fleishman"
N <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE)
S <- summary_sys(N$Y, N$E, E_mix = NULL, N$X, N$X_all, M, method, means, vars,
  skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)
N2 <- corrsys(n, M, Time, method, error_type, means, vars,
  skews, skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal, support, lam, p_zip,
  size, prob, mu, p_zinb, corr.x, corr.e, same.var, subj.var, int.var,
  tint.var, betas.0, betas, betas.subj, betas.int, betas.t, betas.tint,
  seed = seed, use.nearPD = FALSE, errorloop = TRUE, epsilon = 0.01)
S2 <- summary_sys(N2$Y, N2$E, E_mix = NULL, N2$X, N2$X_all, M, method, means,
  vars, skews, skurts, fifths, sixths, mix_pis, mix_mus, mix_sigmas, mix_skews,
  mix_skurts, mix_fifths, mix_sixths, marginal, support, lam, p_zip, size,
  prob, mu, p_zinb, corr.x, corr.e)

test_that("works for Fleishman method: 1 X for Y1 only,
          error non_mix", {
  expect_equal(checkpar(M, method, error_type, means, vars, skews,
    skurts, fifths, sixths, Six, mix_pis, mix_mus, mix_sigmas,
    mix_skews, mix_skurts, mix_fifths, mix_sixths, mix_Six, marginal,
    support, lam, p_zip, pois_eps, size, prob, mu, p_zinb, nb_eps, corr.x,
    corr.yx = list(), corr.e, same.var, subj.var, int.var, tint.var,
    betas.0, betas, betas.subj, betas.int, betas.t, betas.tint), TRUE)
  expect_equal(all.equal(N$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(N2$constants[[1]][1, "c3"],
    -0.04565185, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
  expect_equal(all.equal(S2$target_sum_e[1, "Mean"],
    0.7272727, tolerance = tol, check.attributes = FALSE), TRUE)
})
AFialkowski/SimRepeat documentation built on May 14, 2019, 6:12 p.m.