Statistical interactions from a growth curve perspective Journal Article
| Authors: | Devlin, S. M.; Satagopan, J. M. |
| Article Title: | Statistical interactions from a growth curve perspective |
| Abstract: | Logistic regression is widely used to evaluate the association between risk factors and a binary outcome. The logistic curve is symmetric around its point of inflection. Alternative families of curves, such as the additive Gompertz or Guerrero-Johnson models, have been proposed in various scenarios due to their asymmetry: disease risk may initially increase rapidly and be followed by a longer period where the rate of growth slowly decreases. When modeling binary outcomes in relation to risk factors, an additive logistic model may not provide a good fit to the data. Suppose the outcome and an additive function of the risk factors are indeed related through an asymmetric function, but we model the relationship using a logistic function. We illustrate-both from a mathematical framework and through a simulation-based evaluation-that higher-order terms, such as pairwise interactions and quadratic terms, may be required in a logistic regression model to obtain a good fit to the data. Importantly, as significant higher-order terms may be a manifestation of model misspecification, these terms should be cautiously interpreted; a more pragmatic approach is to develop contrasts of disease risk coming from a good fitting model. We illustrate these concepts in 2 cohort studies examining early death for late-stage colorectal and pancreatic cancer cases, and 2 case-control studies investigating NAT2 acetylation, smoking, and advanced colorectal adenoma and bladder cancer. © 2017 S. Karger AG, Basel. |
| Keywords: | growth curve; statistical interaction |
| Journal Title: | Human Heredity |
| Volume: | 82 |
| Issue: | 1-2 |
| ISSN: | 0001-5652 |
| Publisher: | S. Karger AG |
| Date Published: | 2017-09-01 |
| Start Page: | 21 |
| End Page: | 36 |
| Language: | English |
| DOI: | 10.1159/000477125 |
| PROVIDER: | scopus |
| PUBMED: | 28743105 |
| PMCID: | PMC6377073 |
| DOI/URL: | |
| Notes: | Article -- Export Date: 4 October 2017 -- Source: Scopus |
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