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diff --git a/tests/testthat/test_irls.R b/tests/testthat/test_irls.R
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+# Copyright (C) 2018 Johannes Ranke
+# Contact: jranke@uni-bremen.de
+
+# This file is part of the R package mkin
+
+# mkin is free software: you can redistribute it and/or modify it under the
+# terms of the GNU General Public License as published by the Free Software
+# Foundation, either version 3 of the License, or (at your option) any later
+# version.
+
+# This program is distributed in the hope that it will be useful, but WITHOUT
+# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
+# FOR A PARTICULAR PURPOSE.  See the GNU General Public License for more
+# details.
+
+# You should have received a copy of the GNU General Public License along with
+# this program. If not, see <http://www.gnu.org/licenses/>
+
+context("Iteratively reweighed least squares (IRLS) fitting")
+
+
+m_synth_SFO_lin <- mkinmod(parent = mkinsub("SFO", "M1"),
+                           M1 = mkinsub("SFO", "M2"),
+                           M2 = mkinsub("SFO"),
+                           use_of_ff = "max", quiet = TRUE)
+
+m_synth_DFOP_par <- mkinmod(parent = mkinsub("DFOP", c("M1", "M2")),
+                           M1 = mkinsub("SFO"),
+                           M2 = mkinsub("SFO"),
+                           use_of_ff = "max", quiet = TRUE)
+
+SFO_lin_a <- synthetic_data_for_UBA_2014[[1]]$data
+
+DFOP_par_c <- synthetic_data_for_UBA_2014[[12]]$data
+
+test_that("Reweighting method 'obs' works", {
+  fit_irls_1 <- mkinfit(m_synth_SFO_lin, SFO_lin_a, reweight.method = "obs", quiet = TRUE)
+  parms_1 <- round(fit_irls_1$bparms.optim, c(1, 4, 4, 4, 4, 4))
+  expect_equivalent(parms_1, c(102.1, 0.7389, 0.2982, 0.0203, 0.7677, 0.7246))
+})
+
+test_that("Reweighting method 'tc' works", {
+  fit_irls_2 <- mkinfit(m_synth_DFOP_par, DFOP_par_c, reweight.method = "tc", quiet = TRUE)
+  parms_2 <- signif(fit_irls_2$bparms.optim, 3)
+  expect_equivalent(parms_2, c(99.3, 0.041, 0.00962, 0.597, 0.393, 0.298, 0.0203, 0.707))
+})