ABSTRACT Development of statistical method to modeling tooth healthspan curves in Korean Jung Hoi In Department of Dentistry The Graduate School, Yonsei University

Development of statistical method to modeling tooth healthspan curves in Korean Jung Hoi In

Δ

f(t) = ß 0 + ß 1 t + ß 2 t 2 + ß 3 t 3 + ß 4 t 4 + ß 5 t 5 + ß 6 t 6 + ß 7 t 7 t: age calculated as midpoint of the age range f(t): the value of dental health indices ß 0-7: parameters to be estimated X = M (1 + LSZ) 1/L (L 0) X = M exp(sz) (L = 0) X: the value of dental health indices Z: z-score that corresponds to the selected percentile

57.24871-6.12961 0.51202-0.02361 0.00063-0.00001 0.00000 0.00000 103.22729-14.38426 1.11065-0.04545 0.00106-0.00001 0.00000 0.00000 25.35779 0.64680-0.07044 0.00371-0.00011 0.00000 0.00000 0.00000 12.45629 2.98559-0.23741 0.00996-0.00024 0.00000 0.00000 0.00000 15.24084 2.43381-0.19020 0.00784-0.00018 0.00000 0.00000 0.00000

16.1214 27.4432 0.0310 25.75 26.75 64.7654 27.3503 0.0311 27.35 27.71 27.89 14.7140 27.4803 0.0352 25.52 26.69 54.9857 27.3107 0.0291 27.31 27.68 27.87 71.4223 27.3060 0.0148 25.42 26.83 47.5530 27.2958 0.0263 27.30 27.65 27.85 13.3135 27.5664 0.0398 25.31 26.67 42.2512 27.2878 0.0243 27.29 27.63 27.84 12.2268 27.5790 0.0425 25.21 26.62 39.4827 27.2837 0.0234 27.28 27.62 27.83 10.8988 27.5652 0.0456 25.12 26.55 39.0783 27.2790 0.0236 27.28 27.62 27.83 9.3346 27.5293 0.0494 25.02 26.45 40.5914 27.2682 0.0251 27.27 27.62 27.83 7.6936 27.4758 0.0538 24.91 26.33 43.2503 27.2457 0.0279 27.25 27.62 27.84 6.3823 27.4041 0.0583 24.76 26.19 45.9543 27.2061 0.0322 27.21 27.62 27.84 5.8487 27.3089 0.0618 24.55 26.03 47.5505 27.1456 0.0383 27.15 27.61 27.84 6.1192 27.1873 0.0641 24.26 25.86 47.3349 27.0611 0.0459 27.06 27.58 27.83 6.6403 27.0459 0.0665 23.85 25.64 45.2986 26.9497 0.0552 26.95 27.54 27.82 6.7897 26.8946 0.0714 23.31 25.37 41.9288 26.8081 0.0661 26.81 27.49 27.79 6.3936 26.7358 0.0802 22.61 25.02 37.8371 26.6319 0.0791 26.63 27.42 27.76 5.6347 26.5616 0.0939 21.72 24.56 33.5198 26.4157 0.0951 26.42 27.34 27.73 4.7503 26.3589 0.1131 20.62 23.98 29.2950 26.1520 0.1151 26.15 27.23 27.69 3.8973 26.1127 0.1387 19.29 23.25 25.3329 25.8321 0.1402 25.83 27.11 27.64 3.1481 25.8081 0.1715 17.75 22.35 21.7108 25.4448 0.1717 25.44 26.96 27.59 2.5224 25.4307 0.2129 16.02 21.28 18.4560 24.9774 0.2110 24.98 26.78 27.52 2.0149 24.9667 0.2643 14.13 20.02 15.5712 24.4153 0.2592 24.42 26.57 27.44 1.6109 24.4019 0.3271 12.14 18.58 13.0471 23.7427 0.3177 23.74 26.30 27.34 1.2945 23.7200 0.4028 10.12 16.97 10.8663 22.9433 0.3877 22.94 25.97 27.22 1.0515 22.9002 0.4922 8.13 15.22 9.0059 22.0013 0.4707 22.00 25.56 27.05 0.8700 21.9154 0.5952 6.27 13.37 7.4383 20.9022 0.5691 20.90 25.06 26.84 0.7410 20.7320 0.7095 4.57 11.48 6.1334 19.6350 0.6863 19.64 24.45 26.57 0.6590 19.3104 0.8300 3.09 9.60 5.0602 18.1935 0.8283 18.19 23.72 26.23 0.6549 17.5311 0.9283 1.75 7.83 4.1877 16.5789 1.0047 16.58 22.86 25.82 0.5677 15.5342 1.0710 1.09 6.13 3.4867 14.8032 1.2312 14.80 21.86 25.32 0.4803 13.6634 1.2657 0.59 4.55 2.9302 12.8924 1.5337 12.89 20.75 24.75 0.3532 10.6612 1.7215 0.15 2.39 2.3147 9.8788 2.2342 9.88 18.90 23.76

β β β β β

β β β β β

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