

@Manual{R-sitar,
    title = {sitar: Super Imposition by Translation and Rotation Growth Curve Analysis},
    author = {Tim Cole},
    year = {2022},
    note = {R package version 1.3.0},
    url = {https://CRAN.R-project.org/package=sitar},
  }


@Manual{R-brms,
  title = {brms: Bayesian Regression Models using Stan},
  author = {Paul-Christian Bürkner},
  year = {2022},
  note = {R package version 2.18.0},
  url = {https://CRAN.R-project.org/package=brms},
}


@Manual{R-Hmisc,
  title = {Hmisc: Harrell Miscellaneous},
  author = {Harrell, Jr., Frank E},
  year = {2022},
  note = {R package version 4.7-2},
  url = {https://hbiostat.org/R/Hmisc/},
}


@Manual{R-splines,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2022},
    url = {https://www.R-project.org/},
  }


@article{Cole2010,
	title = {{SITAR}—a useful instrument for growth curve analysis},
	volume = {39},
	issn = {0300-5771},
	url = {https://doi.org/10.1093/ije/dyq115},
	doi = {10.1093/ije/dyq115},
	number = {6},
	journal = {International Journal of Epidemiology},
	author = {Cole, Tim J and Donaldson, Malcolm D C and Ben-Shlomo, Yoav},
	year = {2010},
	note = {tex.eprint: https://academic.oup.com/ije/article-pdf/39/6/1558/18480886/dyq115.pdf},
	pages = {1558--1566},
}


@article{Lindstrom1995,
author = {Lindstrom, Mary J.},
title = {Self-modelling with random shift and scale parameters and a free-knot spline shape function},
journal = {Statistics in Medicine},
volume = {14},
number = {18},
pages = {2009-2021},
doi = {https://doi.org/10.1002/sim.4780141807},
url = {https://pubmed.ncbi.nlm.nih.gov/8677401/},
abstract = {Abstract The shape invariant model is a semi-parametric approach to estimating a function relationship from clustered data (multiple observations on each of a number of individuals). The common response curve shape over individuals is estimated by adjusting for individual scaling differences while pooling shape information. In practice, the common response curve is restricted to some flexible family of functions. This paper introduces the use of a free-knot spline shape function and reduces the number of parameters in the shape invariant model by assuming a random distribution on the parameters that control the individual scaling of the shape function. New graphical diagnostics are presented, parameter identifiability and estimation are discussed, and an example is presented.},
year = {1995}
}


@article{Beath2007,
	title = {Infant growth modelling using a shape invariant model with random effects},
	volume = {26},
	doi = {10.1002/sim.2718},
	number = {12},
	journal = {Statistics in Medicine},
	author = {Beath, K. J.},
	year = {2007},
	note = {Type: Journal article},
	pages = {2547--2564},
	annote = {167ci Times Cited:23 Cited References Count:39},
}

@Article{brms2021,
  title = {Bayesian Item Response Modeling in {R} with {brms} and {Stan}},
  author = {Paul-Christian Bürkner},
  journal = {Journal of Statistical Software},
  year = {2021},
  volume = {100},
  number = {5},
  pages = {1--54},
  doi = {10.18637/jss.v100.i05},
  encoding = {UTF-8},
}


@article{Anna2022,
author = {Anna M. Hardin and Ryan P. Knigge and Hee Soo Oh and Manish Valiathan and Dana L. Duren and Kieran P. McNulty and Kevin M. Middleton and Richard J. Sherwood},
title ={Estimating Craniofacial Growth Cessation: Comparison of Asymptote- and Rate-Based Methods},
journal = {The Cleft Palate Craniofacial Journal},
volume = {59},
number = {2},
pages = {230-238},
year = {2022},
doi = {10.1177/10556656211002675},
note ={PMID: 33998905},
URL = {https://doi.org/10.1177/10556656211002675},
}



@Manual{teamStanReferenceManual,
	title = {Stan Reference Manual version 2.31},
	author = {{Stan Development Team}},
      year = {2023},
	url = {https://mc-stan.org/docs/reference-manual/},
}



@book{harrell2001regression,
	title = {Regression modeling strategies: with applications to linear models, logistic regression, and survival analysis},
	volume = {608},
	publisher = {Springer},
	author = {Harrell, Frank E and {others}},
	year = {2001},
}








@article{nembidzaneUsingSITARMethod2020,
	title = {Using the {SITAR} {Method} to {Estimate} {Age} at {Peak} {Height} {Velocity} of {Children} in {Rural} {South} {Africa}: {Ellisras} {Longitudinal} {Study}},
	volume = {7},
	issn = {2227-9067},
	shorttitle = {Using the {SITAR} {Method} to {Estimate} {Age} at {Peak} {Height} {Velocity} of {Children} in {Rural} {South} {Africa}},
	url = {https://www.mdpi.com/2227-9067/7/3/17},
	doi = {10.3390/children7030017},
	language = {en},
	number = {3},
	journal = {Children},
	author = {Nembidzane, Chris and Lesaoana, Maseka and Monyeki, Kotsedi Daniel and Boateng, Alexander and Makgae, Phuti J.},
	month = mar,
	year = {2020},
	pages = {17},
}





@article{mansukoskiLifeCourseAssociations2019,
	title = {Life course associations of height, weight, fatness, grip strength, and all‐cause mortality for high socioeconomic status {Guatemalans}},
	volume = {31},
	issn = {1042-0533, 1520-6300},
	url = {https://pubmed.ncbi.nlm.nih.gov/31090124/},
	doi = {10.1002/ajhb.23253},
	language = {en},
	number = {4},
	journal = {American Journal of Human Biology},
	author = {Mansukoski, Liina and Johnson, William and Brooke‐Wavell, Katherine and Galvez‐Sobral, J. Andres and Furlan, Luis and Cole, Tim J. and Bogin, Barry},
	month = jul,
	year = {2019},
}



@article{coleFiftyYearsChild2018,
	title = {Fifty years of child height and weight in {Japan} and {South} {Korea}: {Contrasting} secular trend patterns analyzed by {SITAR}},
	volume = {30},
	issn = {10420533},
	shorttitle = {Fifty years of child height and weight in {Japan} and {South} {Korea}},
	doi = {10.1002/ajhb.23054},
	language = {en},
	number = {1},
	journal = {American Journal of Human Biology},
	author = {Cole, T. J. and Mori, H.},
	month = jan,
	year = {2018},
	pages = {e23054},
}



@article{riddellClassifyingGestationalWeight2017,
	title = {Classifying {Gestational} {Weight} {Gain} {Trajectories} {Using} the {SITAR} {Growth} {Model}},
	volume = {31},
	issn = {02695022},
	doi = {10.1111/ppe.12336},
	language = {en},
	number = {2},
	journal = {Paediatric and Perinatal Epidemiology},
	author = {Riddell, Corinne A and Platt, Robert W. and Bodnar, Lisa M. and Hutcheon, Jennifer A.},
	month = mar,
	year = {2017},
	pages = {116--125},
}



@phdthesis{Sandhu2020,
	type = {Thesis},
	title = {Analysis of longitudinal jaw growth data to study sex differences in timing and intensity of the adolescent growth spurt for normal growth and skeletal discrepancies},
	school = {University of Bristol},
	author = {Sandhu, Satpal S.},
	year = {2020},
}




@article{Tuddenham1954,
	title = {Physical growth of {California} boys and girls from birth to eighteen years},
	volume = {1},
	language = {eng},
	number = {2},
	journal = {Publications in Child Development. University of California, Berkeley},
	author = {Tuddenham, R. D. and Snyder, M. M.},
	year = {1954},
	pmid = {13217130},
      url = {https://pubmed.ncbi.nlm.nih.gov/13217130/},
	keywords = {Child, California, Female, Growth, GROWTH/in infant and child, Humans, Infant, Male, Physiological Phenomena},
	pages = {183--364},
}


@Manual{R-fda,
    title = {fda: Functional Data Analysis},
    author = {J. O. Ramsay and Spencer Graves and Giles Hooker},
    year = {2022},
    note = {R package version 6.0.5},
    url = {https://CRAN.R-project.org/package=fda},
  }


@article{gelman2015,
	author = {Andrew Gelman and Daniel Lee and Jiqiang Guo},
	title ={Stan: A Probabilistic Programming Language for Bayesian Inference and Optimization},
	journal = {Journal of Educational and Behavioral Statistics},
	volume = {40},
	number = {5},
	pages = {530-543},
	year = {2015},
	doi = {10.3102/1076998615606113},
	URL = {https://doi.org/10.3102/1076998615606113},
}