Journal
JOURNAL OF APPLIED STATISTICS
Volume 43, Issue 1, Pages 58-71Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/02664763.2015.1025724
Keywords
bounded variable; transformation; education; Millennium Cohort Study; marginal effect
Categories
Funding
- NIHR Biomedical Research Centres funding scheme of the UK Department of Health
- MRC [G0400546] Funding Source: UKRI
- Medical Research Council [G0400546] Funding Source: researchfish
Ask authors/readers for more resources
In education research, normal regression models may not be appropriate due to the presence of bounded variables, which may exhibit a large variety of distributional shapes and present floor and ceiling effects. In this article a class of quantile regression models for bounded response variables is developed. The one-parameter Aranda-Ordaz symmetric and asymmetric families of transformations are applied to address modelling issues that arise when estimating conditional quantiles of a bounded response variable whose relationship with the covariates is possibly nonlinear. This approach exploits the equivariance property of quantiles and aims at achieving linearity of the predictor. This offers a flexible model-based alternative to nonparametric estimation of the quantile function. Since the transformation is quantile-specific, the modelling takes into account the local features of the conditional distribution of the response variable. Our study is motivated by the analysis of reading performance in seven-year old children part of the Millennium Cohort Study.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available