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Description: Here, we provide you with additional materials for the following article: Humberg, S., Schönbrodt, F. D., Back, M. D., & Nestler, S. (2022). Cubic response surface analysis: Investigating asymmetric and level-dependent congruence effects with third-order polynomial models. Psychological Methods, 27(4), 622–649. The folder "Additional OSF Materials" contains a file where readers can find the OSF Materials A to H that we refer to in the manuscript. These materials contain mathematical proofs of diverse statements about the polynomial models that we suggest to investigate complex congruence hypotheses, detailed descriptions on how to investigate the broad versions of the (simple or complex) congruence hypotheses, as well as a step-by-step guide through the R code for investigating complex congruence hypotheses (see the table of contents in the file for more details). The folder "Example R-Code" contains - the simulated data that was used in the manuscript - example R code that guides readers through investigating (strict and broad) asymmetric and level-dependent congruence hypotheses. The folder "R-Code Real Data Example" contains the R code that can be used to reproduce the results of Case Study 3.

License: GNU Lesser General Public License (LGPL) 2.1


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