Rights statement: This is the author’s version of a work that was accepted for publication in Tourism Management. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Tourism Management, 75, 2019 DOI: 10.1016/j.tourman.2019.05.007
Accepted author manuscript, 523 KB, PDF document
Available under license: CC BY-NC-ND
Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Revisiting shape and moderation effects in curvilinear models
AU - Assaf, A. George
AU - Tsionas, Mike G.
N1 - This is the author’s version of a work that was accepted for publication in Tourism Management. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Tourism Management, 75, 2019 DOI: 10.1016/j.tourman.2019.05.007
PY - 2019/12/2
Y1 - 2019/12/2
N2 - Testing hypotheses using curvilinear models in the form of U-shaped, inverted U-shaped or S-shaped relationships has increased considerably over the last decade. However, researchers in the field continue to make common mistakes in analysing such models; for example, ignoring important steps in validating the shape (e.g. U-shape) of a curvilinear relationship, or failing to properly test for different types of moderation. In this paper, following Haans, Pieters, and He (2016), we aim to provide clear guidelines on how to properly test and theorize for shape and moderation effects in curvilinear models. We provide illustrations from different contexts, including U-, inverted U- and S-shaped relationships. We also describe a new procedure that simplifies the process of testing within such contexts. The simplification works for both theoretical derivations as well as for the computation of marginal and moderation effects and curvature.
AB - Testing hypotheses using curvilinear models in the form of U-shaped, inverted U-shaped or S-shaped relationships has increased considerably over the last decade. However, researchers in the field continue to make common mistakes in analysing such models; for example, ignoring important steps in validating the shape (e.g. U-shape) of a curvilinear relationship, or failing to properly test for different types of moderation. In this paper, following Haans, Pieters, and He (2016), we aim to provide clear guidelines on how to properly test and theorize for shape and moderation effects in curvilinear models. We provide illustrations from different contexts, including U-, inverted U- and S-shaped relationships. We also describe a new procedure that simplifies the process of testing within such contexts. The simplification works for both theoretical derivations as well as for the computation of marginal and moderation effects and curvature.
U2 - 10.1016/j.tourman.2019.05.007
DO - 10.1016/j.tourman.2019.05.007
M3 - Journal article
VL - 75
SP - 216
EP - 230
JO - Tourism Management
JF - Tourism Management
SN - 0261-5177
ER -