Regression Spline Mixed Models: a forestry example

Monique Lea MacKenzie; Carl Robert Donovan; BH McArdle

doi:10.1198/108571105X80194

Regression Spline Mixed Models: a forestry example

Monique Lea MacKenzie, Carl Robert Donovan, BH McArdle

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

In this article, regression splines are used inside linear mixed models to explore nonlinear longitudinal data. The regression spline bases are generated using a single knot chosen using biological information-a knot position supported by an automated knot selection procedure. A variety of inferential procedures are compared. The variance in the data was closely modeled using a flexible model-based covariance structure. a robust method and the nonparametric bootstrap, while the variance was underestimated when independent random effects were assumed.

Original language	English
Pages (from-to)	394-410
Number of pages	17
Journal	Journal of Agricultural, Biological and Environmental Statistics
Volume	10
Issue number	4
DOIs	https://doi.org/10.1198/108571105X80194
Publication status	Published - Dec 2005

Keywords

AR(1) errors
covariance structure
linear mixed model
nonparametric bootstrap
robust inference
serial correlation
HEIGHT-DIAMETER MODEL
LONGITUDINAL DATA
CURVES
IDENTIFICATION
PENALTIES

Access to Document

10.1198/108571105X80194

Cite this

@article{8dea6dd8cccf4a6fb70afe0368365ac7,

title = "Regression Spline Mixed Models: a forestry example",

abstract = "In this article, regression splines are used inside linear mixed models to explore nonlinear longitudinal data. The regression spline bases are generated using a single knot chosen using biological information-a knot position supported by an automated knot selection procedure. A variety of inferential procedures are compared. The variance in the data was closely modeled using a flexible model-based covariance structure. a robust method and the nonparametric bootstrap, while the variance was underestimated when independent random effects were assumed.",

keywords = "AR(1) errors, covariance structure, linear mixed model, nonparametric bootstrap, robust inference, serial correlation, HEIGHT-DIAMETER MODEL, LONGITUDINAL DATA, CURVES, IDENTIFICATION, PENALTIES",

author = "MacKenzie, {Monique Lea} and Donovan, {Carl Robert} and BH McArdle",

year = "2005",

month = dec,

doi = "10.1198/108571105X80194",

language = "English",

volume = "10",

pages = "394--410",

journal = "Journal of Agricultural, Biological and Environmental Statistics",

issn = "1085-7117",

publisher = "Springer",

number = "4",

}

TY - JOUR

T1 - Regression Spline Mixed Models: a forestry example

AU - MacKenzie, Monique Lea

AU - Donovan, Carl Robert

AU - McArdle, BH

PY - 2005/12

Y1 - 2005/12

N2 - In this article, regression splines are used inside linear mixed models to explore nonlinear longitudinal data. The regression spline bases are generated using a single knot chosen using biological information-a knot position supported by an automated knot selection procedure. A variety of inferential procedures are compared. The variance in the data was closely modeled using a flexible model-based covariance structure. a robust method and the nonparametric bootstrap, while the variance was underestimated when independent random effects were assumed.

AB - In this article, regression splines are used inside linear mixed models to explore nonlinear longitudinal data. The regression spline bases are generated using a single knot chosen using biological information-a knot position supported by an automated knot selection procedure. A variety of inferential procedures are compared. The variance in the data was closely modeled using a flexible model-based covariance structure. a robust method and the nonparametric bootstrap, while the variance was underestimated when independent random effects were assumed.

KW - AR(1) errors

KW - covariance structure

KW - linear mixed model

KW - nonparametric bootstrap

KW - robust inference

KW - serial correlation

KW - HEIGHT-DIAMETER MODEL

KW - LONGITUDINAL DATA

KW - CURVES

KW - IDENTIFICATION

KW - PENALTIES

UR - http://www.scopus.com/inward/record.url?scp=31544450738&partnerID=8YFLogxK

U2 - 10.1198/108571105X80194

DO - 10.1198/108571105X80194

M3 - Article

SN - 1085-7117

VL - 10

SP - 394

EP - 410

JO - Journal of Agricultural, Biological and Environmental Statistics

JF - Journal of Agricultural, Biological and Environmental Statistics

IS - 4

ER -

Regression Spline Mixed Models: a forestry example

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this