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Applying Modern Survival Analysis Methods to Longitudinal Dental Caries Studies

T. Härkänen1,*, M.A. Larmas2, J.I. Virtanen2, and E. Arjas1

1 Rolf Nevanlinna Institute, PO Box 4, FIN-00014 University of Helsinki, Finland; and
2 Department of Preventive Dentistry and Cariology, Institute of Dentistry, PO Box 5281, FIN-90014 University of Oulu, Finland;



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Figure 1. Posterior expectation of survival function of maxillary molar and incisor teeth with 95% pointwise credibility intervals. The dashed line corresponds to the 1960 cohort (n = 193), the thin solid line to the 1970 cohort (n = 1927), and the thick solid line to the 1980 cohort (n = 1952). The vertical lines correspond to the 95% pointwise credibility intervals. The panels A, C, E, and G represent boys, and B, D, F, and H girls. The panels A and B stand for second molars, C and D for first molars, E and F for lateral incisors, and G and H for central incisors.

 


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Figure 2. Posterior expectations of the failure hazard rates of maxillary molar and incisor teeth. The dashed line corresponds to the 1960 cohort (n = 193), the thin solid line to the 1970 cohort (n = 1927), and the thick solid line to the 1980 cohort (n = 1952). The vertical lines correspond to the 95% pointwise credibility intervals (excluding the 1960 cohort due to small sample size). The panels A, C, E, and G represent boys, and B, D, F, and H girls. The panels A and B stand for second molars, C and D for first molars, E and F for lateral incisors, and G and H for central incisors. In the 1980 cohort, the risk of failure is constant, except in central incisors, and the age of the tooth thus does not affect the risk of failure. (Log-scale on the vertical axis ranges from 0.1 to 50.)

 


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Figure 3. Posterior expectations of the failure hazard rates for the 1960 cohort containing boys (n = 103) and girls (n = 90). The panels A and B represent boys, and C and D girls. The panels A and C stand for the maxilla, and B and D for the mandible. Molar teeth have the highest failure risk after eruption, with the exception of mandibular first molars, which have the highest risk approximately two years after eruption. (Log-scale on the vertical axis ranges from 1 to 50.)

 





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