Smooth semi-parametric adjustment of rate differences, risk differences and relative risks

Mark M. Donoghoe; Ian C. Marschner

Smooth semi-parametric adjustment of rate differences, risk differences and relative risks

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

Abstract

New computational methods have recently been developed that allow stable fitting of constrained GLMs with bounded non-canonical link functions, such as the log link binomial model. By employing B-splines, we can extend these approaches to allow for semi-parametric adjustment of rate differences, risk differences and relative risks. These methods provide alternatives to standard fitting methods, resulting in greater stability for accommodating the required parameter bounds. They also provide a straightforward way to accommodate additional restrictions such as monotonic regression functions. We demonstrate an application to data from a clinical trial of oxygen supplementation in premature infants.

Original language	English
Title of host publication	Proceedings of the 29th International Workshop on Statistical Modelling
Editors	Thomas Kneib, Fabian Sobotka, Jan Fahrenholz, Henriette Irmer
Place of Publication	Göttingen, Germany
Publisher	Statistical Modelling Society
Pages	105-110
Number of pages	6
Volume	1
Publication status	Published - 2014
Event	International Workshop on Statistical Modelling (29th : 2014) - Göttingen, Germany Duration: 14 Jul 2014 → 18 Jul 2014 Conference number: 29th

Conference

Conference	International Workshop on Statistical Modelling (29th : 2014)
Abbreviated title	29th IWSM 2014
Country/Territory	Germany
City	Göttingen
Period	14/07/14 → 18/07/14

Keywords

Generalized additive model
Semi-parametric model
Rate difference
Risk difference
Relative risk

Cite this

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title = "Smooth semi-parametric adjustment of rate differences, risk differences and relative risks",

abstract = "New computational methods have recently been developed that allow stable fitting of constrained GLMs with bounded non-canonical link functions, such as the log link binomial model. By employing B-splines, we can extend these approaches to allow for semi-parametric adjustment of rate differences, risk differences and relative risks. These methods provide alternatives to standard fitting methods, resulting in greater stability for accommodating the required parameter bounds. They also provide a straightforward way to accommodate additional restrictions such as monotonic regression functions. We demonstrate an application to data from a clinical trial of oxygen supplementation in premature infants.",

keywords = "Generalized additive model, Semi-parametric model, Rate difference, Risk difference, Relative risk",

author = "Donoghoe, {Mark M.} and Marschner, {Ian C.}",

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editor = "Thomas Kneib and Fabian Sobotka and Jan Fahrenholz and Henriette Irmer",

booktitle = "Proceedings of the 29th International Workshop on Statistical Modelling",

publisher = "Statistical Modelling Society",

note = "International Workshop on Statistical Modelling (29th : 2014), 29th IWSM 2014 ; Conference date: 14-07-2014 Through 18-07-2014",

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Donoghoe, MM & Marschner, IC 2014, Smooth semi-parametric adjustment of rate differences, risk differences and relative risks. in T Kneib, F Sobotka, J Fahrenholz & H Irmer (eds), Proceedings of the 29th International Workshop on Statistical Modelling. vol. 1, Statistical Modelling Society, Göttingen, Germany, pp. 105-110, International Workshop on Statistical Modelling (29th : 2014), Göttingen, Germany, 14/07/14.

Smooth semi-parametric adjustment of rate differences, risk differences and relative risks. / Donoghoe, Mark M.; Marschner, Ian C.
Proceedings of the 29th International Workshop on Statistical Modelling. ed. / Thomas Kneib; Fabian Sobotka; Jan Fahrenholz; Henriette Irmer. Vol. 1 Göttingen, Germany: Statistical Modelling Society, 2014. p. 105-110.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

TY - GEN

T1 - Smooth semi-parametric adjustment of rate differences, risk differences and relative risks

AU - Donoghoe, Mark M.

AU - Marschner, Ian C.

N1 - Conference code: 29th

PY - 2014

Y1 - 2014

N2 - New computational methods have recently been developed that allow stable fitting of constrained GLMs with bounded non-canonical link functions, such as the log link binomial model. By employing B-splines, we can extend these approaches to allow for semi-parametric adjustment of rate differences, risk differences and relative risks. These methods provide alternatives to standard fitting methods, resulting in greater stability for accommodating the required parameter bounds. They also provide a straightforward way to accommodate additional restrictions such as monotonic regression functions. We demonstrate an application to data from a clinical trial of oxygen supplementation in premature infants.

AB - New computational methods have recently been developed that allow stable fitting of constrained GLMs with bounded non-canonical link functions, such as the log link binomial model. By employing B-splines, we can extend these approaches to allow for semi-parametric adjustment of rate differences, risk differences and relative risks. These methods provide alternatives to standard fitting methods, resulting in greater stability for accommodating the required parameter bounds. They also provide a straightforward way to accommodate additional restrictions such as monotonic regression functions. We demonstrate an application to data from a clinical trial of oxygen supplementation in premature infants.

KW - Generalized additive model

KW - Semi-parametric model

KW - Rate difference

KW - Risk difference

KW - Relative risk

UR - http://purl.org/au-research/grants/arc/DP110101254

M3 - Conference proceeding contribution

VL - 1

SP - 105

EP - 110

BT - Proceedings of the 29th International Workshop on Statistical Modelling

A2 - Kneib, Thomas

A2 - Sobotka, Fabian

A2 - Fahrenholz, Jan

A2 - Irmer, Henriette

PB - Statistical Modelling Society

CY - Göttingen, Germany

T2 - International Workshop on Statistical Modelling (29th : 2014)

Y2 - 14 July 2014 through 18 July 2014

ER -

Smooth semi-parametric adjustment of rate differences, risk differences and relative risks

Abstract

Conference

Keywords

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