The Application of the Central Limit Theorem and the Law of Large Numbers to Facial Soft Tissue Depths: T‐Table Robustness and Trends since 2008 ,

By pooling independent study means ( x¯ ), the T‐Tables use the central limit theorem and law of large numbers to average out study‐specific sampling bias and instrument errors and, in turn, triangulate upon human population means (μ). Since their first publication in 2008, new data from >2660 adults have been collected (c.30% of the original sample) making a review of the T‐Table's robustness timely. Updated grand means show that the new data have negligible impact on the previously published statistics: maximum change = 1.7 mm at gonion; and ≤1 mm at 93% of all landmarks measured. This confirms the utility of the 2008 T‐Table as a proxy to soft tissue depth population means and, together with updated sample sizes (8851 individuals at pogonion), earmarks the 2013 T‐Table as the premier mean facial soft tissue depth standard for craniofacial identification casework. The utility of the T‐Table, in comparison with shorths and 75‐shormaxes, is also discussed.

[1]  W. Scheidt Lehrbuch der Anthropologie , 1948 .

[2]  Gaylord S Throckmorton,et al.  Comparability of Radiographic and 3D‐Ultrasound Measurements of Facial Midline Tissue Depths * , 2006, Journal of forensic sciences.

[3]  Mineo Yoshino,et al.  Pilot study of facial soft tissue thickness differences among three skeletal classes in Japanese females. , 2010, Forensic science international.

[4]  Carl N Stephan,et al.  Facial Soft Tissue Depth Statistics and Enhanced Point Estimators for Craniofacial Identification: The Debut of the Shorth and the 75‐Shormax , 2013, Journal of forensic sciences.

[5]  Carl N Stephan,et al.  Facial Soft Tissue Thicknesses in Australian Adult Cadavers * , 2006, Journal of forensic sciences.

[6]  Christine Michie,et al.  Robust estimators of location , 1978 .

[7]  Caroline Wilkinson,et al.  Forensic Facial Reconstruction , 2004 .

[8]  R E Barsley,et al.  In vivo facial tissue depth measurements for children and adults. , 2000, Journal of forensic sciences.

[9]  Robert M. George,et al.  The Lateral Craniographic Method of Facial Reconstruction , 1987 .

[10]  Sónia Codinha,et al.  Facial soft tissue thicknesses for the Portuguese adult population. , 2009, Forensic science international.

[11]  S. Kapila,et al.  Growth changes in the soft tissue facial profile. , 1991, The Angle orthodontist.

[12]  I H El-Mehallawi,et al.  Ultrasonic assessment of facial soft tissue thicknesses in adult Egyptians. , 2001, Forensic science international.

[13]  Naomi Vaisrub,et al.  Biostatistics: The Bare Essentials , 2009 .

[14]  Carl N Stephan,et al.  The superficial temporal fat pad and its ramifications for temporalis muscle construction in facial approximation. , 2009, Forensic science international.

[15]  S Miyasaka Progress in Facial Reconstruction Technology. , 1999, Forensic science review.

[16]  J. Rhine,et al.  Thickness of facial tissues in American blacks. , 1980, Journal of forensic sciences.

[17]  Yan Dong,et al.  Influence of sex and body mass index on facial soft tissue thickness measurements of the northern Chinese adult population. , 2012, Forensic science international.

[18]  Ricardo L. Carrau,et al.  Principles of Facial Reconstruction , 1996 .

[19]  C. Stephan,et al.  Facial Soft Tissue Depths in Craniofacial Identification (Part II): An Analytical Review of the Published Sub‐Adult Data * , 2008, Journal of forensic sciences.

[20]  S. Saunders,et al.  Midline facial tissue thicknesses of subadults from a longitudinal radiographic study. , 1999, Journal of forensic sciences.

[21]  W A Aulsebrook,et al.  Facial soft-tissue thicknesses in the adult male Zulu. , 1996, Forensic science international.

[22]  Serdar Sipahioğlu,et al.  Midline facial soft tissue thickness database of Turkish population: MRI study. , 2012, Forensic science international.

[23]  M Steyn,et al.  Facial reconstruction: soft tissue thickness values for South African black females. , 2011, Forensic science international.

[24]  Won-Joon Lee,et al.  Facial Soft Tissue Thickness Database for Craniofacial Reconstruction in Korean Adults , 2012, Journal of forensic sciences.

[25]  Carl N Stephan,et al.  Does sexual dimorphism in facial soft tissue depths justify sex distinction in craniofacial identification? , 2005, Journal of forensic sciences.

[26]  M. F. Ashley-Montagu The location of the nasion in the living , 1935 .

[27]  Maciej Henneberg,et al.  Variation in soft-tissue thicknesses on the human face and their relation to craniometric dimensions. , 2002, American journal of physical anthropology.

[28]  H. J. Arnold Introduction to the Practice of Statistics , 1990 .

[29]  K. Kasai Soft tissue adaptability to hard tissues in facial profiles. , 1998, American journal of orthodontics and dentofacial orthopedics : official publication of the American Association of Orthodontists, its constituent societies, and the American Board of Orthodontics.

[30]  Jae Bum Lee,et al.  Accuracy of facial soft tissue thickness measurements in personal computer-based multiplanar reconstructed computed tomographic images. , 2005, Forensic science international.

[31]  Radoslav Beňuš,et al.  Facial soft tissue thicknesses of the mid-face for Slovak population. , 2012, Forensic science international.

[32]  Midsagittal facial soft‐tissue growth of French Canadian adolescents , 2002, American journal of human biology : the official journal of the Human Biology Council.

[33]  Francisco Javier Pérez Rojas,et al.  Comparación en el grosor del tejido blando de la cara, con el método de punción con aguja, en cadáveres frescos y conservados , 2008 .

[34]  Sanjeev,et al.  Facial soft tissue thickness in northwest Indian adults. , 2008, Forensic science international.

[35]  Gatot Lao,et al.  Craniofacial identification in forensic medicine , 1999 .

[36]  Pierre Guyomarc’h Reconstitution faciale par imagerie 3d : variabilité morphométrique et mise en oeuvre informatique , 2011 .

[37]  H. von Eggeling,et al.  Anatomische Untersuchungen an den Köpfen von vier Hereros, einem Herero- und einem Hottentottenkind , 1909 .

[38]  Carl N Stephan,et al.  Facial Soft Tissue Depths in Craniofacial Identification (Part I): An Analytical Review of the Published Adult Data * , 2008, Journal of forensic sciences.

[39]  J. V. Pluym,et al.  Use of Magnetic Resonance Imaging to Measure Facial Soft Tissue Depth , 2007, The Cleft palate-craniofacial journal : official publication of the American Cleft Palate-Craniofacial Association.

[40]  M. Yoshino,et al.  Facial soft tissue thickness in Japanese children. , 2010, Forensic science international.

[41]  A N Burkitt,et al.  Preliminary Observations on the Nose of the Australian Aboriginal, with a Table of Aboriginal Head Measurements. , 1923, Journal of anatomy.

[42]  B Solow,et al.  Early adult changes in the skeletal and soft-tissue profile. , 1979, European journal of orthodontics.

[43]  P H Buschang,et al.  Midsagittal facial tissue thicknesses of children and adolescents from the Montreal growth study. , 2001, Journal of forensic sciences.

[44]  R. Nanda,et al.  Longitudinal changes in the adult facial profile. , 1994, American journal of orthodontics and dentofacial orthopedics : official publication of the American Association of Orthodontists, its constituent societies, and the American Board of Orthodontics.

[45]  Madhur Gupta,et al.  Preliminary Study on Facial Soft Tissue Thickness by Magnetic Resonance Imaging in Northwest Indians , 2002 .

[46]  Ayse Canan Yazici,et al.  Facial soft tissue thickness in individuals with different occlusion patterns in adult Turkish subjects. , 2011, Homo : internationale Zeitschrift fur die vergleichende Forschung am Menschen.

[47]  Eugen Fischer Anatomische Untersuchungen an den Kopfweichteilen zweier Papua , 1905 .

[48]  Feng Chen,et al.  Age and sex related measurement of craniofacial soft tissue thickness and nasal profile in the Chinese population. , 2011, Forensic science international.

[49]  D. Vandermeulen,et al.  Large-scale in-vivo Caucasian facial soft tissue thickness database for craniofacial reconstruction. , 2006, Forensic science international.

[50]  P R Sutton,et al.  Bizygomatic diameter: the thickness of the soft tissues over the zygions. , 1969, American journal of physical anthropology.

[51]  Joanne D. Subtelny,et al.  A longitudinal study of soft tissue facial structures and their profile characteristics, defined in relation to underlying skeletal structures , 1959 .

[52]  Ginesse A. Listi,et al.  In Vivo Facial Tissue Depth Study of Chinese‐American Adults in New York City * , 2011, Journal of forensic sciences.

[53]  Maxime Berar,et al.  Construction and analysis of a head CT-scan database for craniofacial reconstruction. , 2009, Forensic science international.

[54]  V M Phillips,et al.  Facial reconstruction: utilization of computerized tomography to measure facial tissue thickness in a mixed racial population. , 1996, Forensic science international.

[55]  W. His,et al.  Anatomische Forschungen über Johann Sebastian Bach's Gebeine und Antlitz nebst Bemerkungen über dessen Bilder , 1895 .

[56]  Richard Helmer,et al.  Schädelidentifizierung durch elektronische Bildmischung : Zugleich ein Beitrag zur Konstitutionsbiometrie und Dickenmessung der Gesichtsweichteile , 1984 .

[57]  E R Dumont,et al.  Mid-facial tissue depths of white children: an aid in facial feature reconstruction. , 1986, Journal of forensic sciences.

[58]  Natalie Haddad de Almeida,et al.  Facial soft tissue thickness of Brazilian adults. , 2009, Forensic science international.