Centile estimation for a proportion response variable
This paper introduces two general models for computing centiles when the response variable Y can take values between 0 and 1, inclusive of 0 or 1. The models developed are more flexible alternatives to the beta inflated distribution. The first proposed model employs a flexible four parameter logit s...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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John Wiley & Sons
2016
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| Subjects: | |
| Online Access: | https://repository.londonmet.ac.uk/4704/1/Rigby1.pdf |
| _version_ | 1804072371288539136 |
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| author | Hossain, Abu Rigby, Robert A. Stasinopoulos, Dimitrios Enea, Marco |
| author_facet | Hossain, Abu Rigby, Robert A. Stasinopoulos, Dimitrios Enea, Marco |
| author_sort | Hossain, Abu |
| collection | LMU |
| description | This paper introduces two general models for computing centiles when the response variable Y can take values between 0 and 1, inclusive of 0 or 1. The models developed are more flexible alternatives to the beta inflated distribution. The first proposed model employs a flexible four parameter logit skew Student t (logitSST) distribution to model the response variable Y on the unit interval (0, 1), excluding 0 and 1. This model is then extended to the inflated logitSST distribution for Y on the unit interval, including 1. The second model developed in this paper is a generalised Tobit model for Y on the unit interval, including 1. Applying these two models to (1-Y) rather than Y enables modelling of Y on the unit interval including 0 rather than 1. An application of the new models to real data shows that they can provide superior fits. |
| first_indexed | 2024-07-09T03:58:05Z |
| format | Article |
| id | oai:repository.londonmet.ac.uk:4704 |
| institution | London Metropolitan University |
| language | English |
| last_indexed | 2024-07-09T03:58:05Z |
| publishDate | 2016 |
| publisher | John Wiley & Sons |
| record_format | eprints |
| spelling | oai:repository.londonmet.ac.uk:47042021-07-22T08:14:40Z http://repository.londonmet.ac.uk/4704/ Centile estimation for a proportion response variable Hossain, Abu Rigby, Robert A. Stasinopoulos, Dimitrios Enea, Marco 510 Mathematics This paper introduces two general models for computing centiles when the response variable Y can take values between 0 and 1, inclusive of 0 or 1. The models developed are more flexible alternatives to the beta inflated distribution. The first proposed model employs a flexible four parameter logit skew Student t (logitSST) distribution to model the response variable Y on the unit interval (0, 1), excluding 0 and 1. This model is then extended to the inflated logitSST distribution for Y on the unit interval, including 1. The second model developed in this paper is a generalised Tobit model for Y on the unit interval, including 1. Applying these two models to (1-Y) rather than Y enables modelling of Y on the unit interval including 0 rather than 1. An application of the new models to real data shows that they can provide superior fits. John Wiley & Sons 2016-03-15 Article PeerReviewed text en https://repository.londonmet.ac.uk/4704/1/Rigby1.pdf Hossain, Abu, Rigby, Robert A., Stasinopoulos, Dimitrios and Enea, Marco (2016) Centile estimation for a proportion response variable. Statistics in medicine, 35 (6). pp. 895-904. ISSN 0277-6715 https://onlinelibrary.wiley.com/journal/10970258 10.1002/sim.6748 |
| spellingShingle | 510 Mathematics Hossain, Abu Rigby, Robert A. Stasinopoulos, Dimitrios Enea, Marco Centile estimation for a proportion response variable |
| title | Centile estimation for a proportion response variable |
| title_full | Centile estimation for a proportion response variable |
| title_fullStr | Centile estimation for a proportion response variable |
| title_full_unstemmed | Centile estimation for a proportion response variable |
| title_short | Centile estimation for a proportion response variable |
| title_sort | centile estimation for a proportion response variable |
| topic | 510 Mathematics |
| url | https://repository.londonmet.ac.uk/4704/1/Rigby1.pdf |
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