Orthogonality and -optimality of the U-type design under general Fourier regression models

Min-Yu Xie; Jian-Hui Ning; Kai-Tai Fang

doi:10.1016/j.spl.2007.03.024

Orthogonality and -optimality of the U-type design under general Fourier regression models

Statistics & Probability Letters ◽

10.1016/j.spl.2007.03.024 ◽

2007 ◽

Vol 77 (12) ◽

pp. 1377-1384 ◽

Cited By ~ 1

Author(s):

Min-Yu Xie ◽

Jian-Hui Ning ◽

Kai-Tai Fang

Keyword(s):

Regression Models ◽

Type Design ◽

Fourier Regression

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Optimal multi-criteria designs for Fourier regression models

Journal of Statistical Planning and Inference ◽

10.1016/s0378-3758(00)00212-3 ◽

2001 ◽

Vol 96 (2) ◽

pp. 387-401 ◽

Cited By ~ 4

Author(s):

Peide Shi ◽

Kai-Tai Fang ◽

Chih-Ling Tsai

Keyword(s):

Regression Models ◽

Fourier Regression

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T-optimal discriminating designs for Fourier regression models

Computational Statistics & Data Analysis ◽

10.1016/j.csda.2016.06.010 ◽

2017 ◽

Vol 113 ◽

pp. 196-206 ◽

Cited By ~ 6

Author(s):

Holger Dette ◽

Viatcheslav B. Melas ◽

Petr Shpilev

Keyword(s):

Regression Models ◽

Fourier Regression

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Seasonality of Acute Lyme Disease in Children

Tropical Medicine and Infectious Disease ◽

10.3390/tropicalmed6040196 ◽

2021 ◽

Vol 6 (4) ◽

pp. 196

Author(s):

Kathryn M. Sundheim ◽

Michael N. Levas ◽

Fran Balamuth ◽

Amy D. Thompson ◽

Desiree N. Neville ◽

...

Keyword(s):

Lyme Disease ◽

Regression Models ◽

Disease Incidence ◽

Erythema Migrans ◽

The United States ◽

Lyme Arthritis ◽

Cranial Neuropathy ◽

Acute Arthritis ◽

Presenting Symptoms ◽

Fourier Regression

Due to the life cycle of its vector, Lyme disease has known seasonal variation. However, investigations focused on children have been limited. Our objective was to evaluate the seasonality of pediatric Lyme disease in three endemic regions in the United States. We enrolled children presenting to one of eight Pedi Lyme Net participating emergency departments. Cases were classified based on presenting symptoms: early (single erythema migrans (EM) lesion), early-disseminated (multiple EM lesions, headache, cranial neuropathy, or carditis), or late (arthritis). We defined a case of Lyme disease by the presence of an EM lesion or a positive two-tier Lyme disease serology. To measure seasonal variability, we estimated Fourier regression models to capture cyclical patterns in Lyme disease incidence. While most children with early or early-disseminated Lyme disease presented during the summer months, children with Lyme arthritis presented throughout the year. Clinicians should consider Lyme disease when evaluating children with acute arthritis throughout the year.

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