Bountziouka, Vasiliki;
Johnson, Samantha;
Manktelow, Bradley N;
(2023)
Methods for Constructing Normalised Reference Scores: An Application for Assessing Child Development at 24 Months of Age.
Multivariate Behavioral Research
, 58
(5)
pp. 894-910.
10.1080/00273171.2022.2142189.
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Abstract
The use of the lambda-mu-sigma (LMS) method for estimating centiles and producing reference ranges has received much interest in clinical practice, especially for assessing growth in childhood. However, this method may not be directly applicable where measures are based on a score calculated from question response categories that is bounded within finite intervals, for example, in psychometrics. In such cases, the main assumption of normality of the conditional distribution of the transformed response measurement is violated due to the presence of ceiling (and floor) effects, leading to biased fitted centiles when derived using the common LMS method. This paper describes the methodology for constructing reference intervals when the response variable is bounded and explores different distribution families for the centile estimation, using a score derived from a parent-completed assessment of cognitive and language development in 24 month-old children. Results indicated that the z-scores, and thus the extracted centiles, improved when kurtosis was also modeled and that the ceiling effect was addressed with the use of the inflated binomial distribution. Therefore, the selection of the appropriate distribution when constructing centile curves is crucial.
| Type: | Article |
|---|---|
| Title: | Methods for Constructing Normalised Reference Scores: An Application for Assessing Child Development at 24 Months of Age |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1080/00273171.2022.2142189 |
| Publisher version: | https://doi.org/10.1080/00273171.2022.2142189 |
| Language: | English |
| Additional information: | © 2022 The Author(s). Published with license by Taylor & Francis Group, LLC This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way. |
| Keywords: | Reference equations; LMSmethod; centiles; normstables; child developmen |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Population Health Sciences > UCL GOS Institute of Child Health > Population, Policy and Practice Dept UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Population Health Sciences > UCL GOS Institute of Child Health UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10157964 |
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