************************************************************************** ACS % Calories from Fat Ratio of sigma_s^2 to sigma_r^2 = 0.00000 ************************************************************************* Mean of the FFQ's = 33.78202 32.80714 S.D. of the FFQ's = 9.41923 9.03068 Mean of the FR's = 29.87207 30.45799 30.26603 29.81957 S.D. of the FR's = 9.86185 9.36579 9.30170 8.38363 Correlation between the two FFQ's = 0.73690 Mean of WW = 29.87207 30.45799 30.26603 29.81957 Mean of yy = 33.78202 32.80714 Covariance of mean FFQ and Mean FR = 34.35196 Correlation of Mean FFQ and mean FR= 0.62653 FR# FFQ# Covariance Correlation 1.00000 1.00000 36.27799 0.39054 1.00000 2.00000 36.46284 0.40942 2.00000 1.00000 26.87210 0.30461 2.00000 2.00000 24.68640 0.29187 3.00000 1.00000 35.37556 0.40376 3.00000 2.00000 43.12242 0.51336 4.00000 1.00000 37.94784 0.48055 4.00000 2.00000 34.07053 0.45001 Average covariance of FFQ and FR = 34.35196 Average correlation of FFQ and FR = 0.40552 Starting value for mu_t = 29.87207 Starting value for mu_q = 33.78202 Starting value for beta0 = -0.98698 Starting value for sigma_u^2 = 13.49966 Starting value for sigma_t^2 = 11.94889 Starting value for beta1 = 1.16393 Starting value for sigma_{eu} = -1.17592 Starting value for sigma_e^2 = 24.31954 Starting value for sigma_r^2 = 10.29971 Value of rhors = 0.00000 Rel. risk: Obs to True, start = 1.41649 Rel. Risk: True to Obs, start = 1.20893 Starting log likelihood = -3721.15175 Ending log likelihood = -2843.69541 Return code = 0.00000 The inverse Hessian at the minimum = 0.02522 -0.39054 -0.58275 0.00088 0.17028 0.00000 0.00000 -0.02804 -0.39054 17.93657 5.91204 -0.00052 -3.10577 0.00004 0.00003 -0.03986 -0.58275 5.91204 39.00207 -2.82798 -5.88496 0.00013 0.00019 1.91482 0.00088 -0.00052 -2.82798 5.54612 -0.00170 0.00000 0.00000 -0.13464 0.17028 -3.10577 -5.88496 -0.00170 12.42296 0.00000 0.00000 0.07736 0.00000 0.00004 0.00013 0.00000 0.00000 0.21597 0.18819 0.00003 0.00000 0.00003 0.00019 0.00000 0.00000 0.18819 0.41214 0.00008 -0.02804 -0.03986 1.91482 -0.13464 0.07736 0.00003 0.00008 4.84015 The Hessian at the minimum = 92.74224 1.58883 1.12826 0.56363 -0.34022 0.00023 -0.00022 0.12503 1.58883 0.08754 0.01145 0.00573 0.00550 0.00000 0.00000 0.00547 1.12826 0.01145 0.04413 0.02208 0.00837 -0.00001 -0.00001 -0.01035 0.56363 0.00573 0.02208 0.19147 0.00419 0.00000 -0.00001 -0.00016 -0.34022 0.00550 0.00837 0.00419 0.09054 -0.00001 0.00000 -0.00657 0.00023 0.00000 -0.00001 0.00000 -0.00001 7.69041 -3.51166 0.00002 -0.00022 0.00000 -0.00001 -0.00001 0.00000 -3.51166 4.02990 -0.00004 0.12503 0.00547 -0.01035 -0.00016 -0.00657 0.00002 -0.00004 0.21157 Estimate of mut = 29.87205 Estimate of muq = 33.29458 Estimate of rhoqt = 0.74104 Estimate of gamma = 0.39776 std. error for gamma = 0.03699 Estimate of sigma_t^2 = 25.10053 Estimate of sigma_u^2 = 58.54985 Estimate of sigma_e^2 = 22.58052 Estimate of sigma_r^2 = 16.69947 Estimate of sigma_{eu} = -0.21076 Estimate of beta1 = 1.38061 Estimate of beta0 = -7.45966 Rel. risk: Obs to True = 1.27077 Its std err = 0.02832 Rel. Risk: True to Obs = 1.31746 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ACS % Calories from Fat Ratio of sigma_s^2 to sigma_r^2 = 0.00000 There WAS ratio adjustment of these data to make each visit have the same mean rho(r,s) beta_1 sigma_t^2 sigma_r^2 RR(O-T) RR(T-O) s.e.(gamma) gamma se(RR(O--T)) 0.00000 1.38061 25.10053 16.69947 1.27077 1.31746 0.03699 0.39776 0.02832 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 Rosner rhoqt attenuation True from Obs Obs from True sigsq_x beta1 0.00000 0.39763 1.27087 1.31734 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ************************************************************************** ACS log(Total Fat) Ratio of sigma_s^2 to sigma_r^2 = 0.00000 ************************************************************************* Mean of the FFQ's = 38.32429 38.37926 S.D. of the FFQ's = 5.08830 4.93981 Mean of the FR's = 39.30470 39.89477 40.19605 39.63123 S.D. of the FR's = 6.07742 5.84576 5.68349 5.22931 Correlation between the two FFQ's = 0.70741 Mean of WW = 39.30470 39.89477 40.19605 39.63123 Mean of yy = 38.32429 38.37926 Covariance of mean FFQ and Mean FR = 11.01853 Correlation of Mean FFQ and mean FR= 0.59180 FR# FFQ# Covariance Correlation 1.00000 1.00000 12.31811 0.39834 1.00000 2.00000 11.13331 0.37085 2.00000 1.00000 10.14250 0.34098 2.00000 2.00000 8.80071 0.30477 3.00000 1.00000 8.07762 0.27932 3.00000 2.00000 10.57887 0.37680 4.00000 1.00000 13.94849 0.52422 4.00000 2.00000 13.14863 0.50901 Average covariance of FFQ and FR = 11.01853 Average correlation of FFQ and FR = 0.38803 Starting value for mu_t = 39.30470 Starting value for mu_q = 38.32429 Starting value for beta0 = 2.10462 Starting value for sigma_u^2 = 4.21612 Starting value for sigma_t^2 = 3.39138 Starting value for beta1 = 0.92151 Starting value for sigma_{eu} = -0.65874 Starting value for sigma_e^2 = 6.97247 Starting value for sigma_r^2 = 6.33810 Value of rhors = 0.00000 Rel. risk: Obs to True, start = 1.63848 Rel. Risk: True to Obs, start = 1.14316 Starting log likelihood = -3113.42580 Ending log likelihood = -2266.24691 Return code = 0.00000 The inverse Hessian at the minimum = 0.01602 -0.10769 -0.11696 0.00087 0.04394 0.00000 0.00000 -0.02106 -0.10769 2.77202 0.49228 -0.00017 -0.41802 0.00002 0.00002 -0.00304 -0.11696 0.49228 3.16186 -0.29810 -0.49124 0.00004 0.00005 0.39247 0.00087 -0.00017 -0.29810 0.56585 0.00148 0.00000 0.00000 -0.05174 0.04394 -0.41802 -0.49124 0.00148 1.67287 0.00000 0.00000 -0.04929 0.00000 0.00002 0.00004 0.00000 0.00000 0.08516 0.05934 0.00000 0.00000 0.00002 0.00005 0.00000 0.00000 0.05934 0.11631 0.00000 -0.02106 -0.00304 0.39247 -0.05174 -0.04929 0.00000 0.00000 1.46390 The Hessian at the minimum = 119.03903 3.80328 3.72802 1.85441 -1.06137 0.00105 -0.00100 0.75110 3.80328 0.50360 0.06774 0.03359 0.04699 -0.00005 -0.00002 0.04038 3.72802 0.06774 0.48381 0.24307 0.05893 -0.00006 -0.00012 -0.06535 1.85441 0.03359 0.24307 1.89512 0.03026 -0.00003 -0.00006 0.02959 -1.06137 0.04699 0.05893 0.03026 0.65445 -0.00006 -0.00001 -0.00787 0.00105 -0.00005 -0.00006 -0.00003 -0.00006 18.22111 -9.29638 0.00002 -0.00100 -0.00002 -0.00012 -0.00006 -0.00001 -9.29638 13.34081 0.00001 0.75110 0.04038 -0.06535 0.02959 -0.00787 0.00002 0.00001 0.71230 Estimate of mut = 39.30471 Estimate of muq = 38.35177 Estimate of rhoqt = 0.68717 Estimate of gamma = 0.44091 std. error for gamma = 0.04457 Estimate of sigma_t^2 = 10.29930 Estimate of sigma_u^2 = 21.49195 Estimate of sigma_e^2 = 7.21808 Estimate of sigma_r^2 = 5.98586 Estimate of sigma_{eu} = -0.89016 Estimate of beta1 = 1.07096 Estimate of beta0 = -3.76944 Rel. risk: Obs to True = 1.24131 Its std err = 0.02713 Rel. Risk: True to Obs = 1.35746 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ACS 10 * log_e(Total Fat) Ratio of sigma_s^2 to sigma_r^2 = 0.00000 There WAS ratio adjustment of these data to make each visit have the same mean rho(r,s) beta_1 sigma_t^2 sigma_r^2 RR(O-T) RR(T-O) s.e.(gamma) gamma se(RR(O--T)) 0.00000 1.07096 10.29930 5.98586 1.24131 1.35746 0.04457 0.44091 0.02713 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 Rosner rhoqt attenuation True from Obs Obs from True sigsq_x beta1 0.00000 0.43656 1.24398 1.35338 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ************************************************************************** ACS log(Energy) Uses both men and women Ratio of sigma_s^2 to sigma_r^2 = 0.00000 ************************************************************************* Mean of the FFQ's = 71.59756 71.90744 S.D. of the FFQ's = 3.27493 3.29768 Mean of the FR's = 74.03589 74.33345 74.70018 74.16940 S.D. of the FR's = 3.39978 3.42111 3.30161 3.28559 Correlation between the two FFQ's = 0.65942 Mean of WW = 74.03589 74.33345 74.70018 74.16940 Mean of yy = 71.59756 71.90744 Covariance of mean FFQ and Mean FR = 2.83629 Correlation of Mean FFQ and mean FR= 0.39473 FR# FFQ# Covariance Correlation 1.00000 1.00000 3.47751 0.31233 1.00000 2.00000 3.10501 0.27695 2.00000 1.00000 2.85142 0.25450 2.00000 2.00000 2.87670 0.25499 3.00000 1.00000 1.59891 0.14788 3.00000 2.00000 1.98329 0.18216 4.00000 1.00000 3.35264 0.31158 4.00000 2.00000 3.44483 0.31794 Average covariance of FFQ and FR = 2.83629 Average correlation of FFQ and FR = 0.25729 Starting value for mu_t = 74.03589 Starting value for mu_q = 71.59756 Starting value for beta0 = 3.37274 Starting value for sigma_u^2 = 4.21612 Starting value for sigma_t^2 = 3.39138 Starting value for beta1 = 0.92151 Starting value for sigma_{eu} = -0.65874 Starting value for sigma_e^2 = 6.97247 Starting value for sigma_r^2 = 6.33810 Value of rhors = 0.00000 Rel. risk: Obs to True, start = 1.63848 Rel. Risk: True to Obs, start = 1.14316 Starting log likelihood = -2096.83052 Ending log likelihood = -1752.11287 Return code = 0.00000 The inverse Hessian at the minimum = 0.01748 -0.02372 -0.03171 -0.00012 0.00910 0.00000 0.00000 -0.00863 -0.02372 0.36205 0.02619 -0.00008 -0.04728 0.00001 0.00001 -0.00127 -0.03171 0.02619 0.70640 -0.06995 -0.02629 0.00001 0.00002 0.02549 -0.00012 -0.00008 -0.06995 0.14062 0.00007 0.00000 0.00000 0.00375 0.00910 -0.04728 -0.02629 0.00007 0.18927 0.00000 0.00000 -0.00366 0.00000 0.00001 0.00001 0.00000 0.00000 0.03085 0.01534 0.00000 0.00000 0.00001 0.00002 0.00000 0.00000 0.01534 0.04840 0.00000 -0.00863 -0.00127 0.02549 0.00375 -0.00366 0.00000 0.00000 0.26526 The Hessian at the minimum = 70.25210 4.14603 3.00780 1.50460 -1.88561 0.00340 -0.00127 1.96789 4.14603 3.10485 0.09236 0.04692 0.59203 -0.00105 -0.00004 0.14831 3.00780 0.09236 1.63452 0.81735 0.10393 -0.00019 -0.00070 -0.06891 1.50460 0.04692 0.81735 7.52275 0.04748 -0.00009 -0.00035 -0.13504 -1.88561 0.59203 0.10393 0.04748 5.53657 -0.00045 -0.00004 0.00727 0.00340 -0.00105 -0.00019 -0.00009 -0.00045 38.47731 -12.19455 0.00016 -0.00127 -0.00004 -0.00070 -0.00035 -0.00004 -12.19455 24.52801 0.00008 1.96789 0.14831 -0.06891 -0.13504 0.00727 0.00016 0.00008 3.84316 Estimate of mut = 74.03589 Estimate of muq = 71.75250 Estimate of rhoqt = 0.44186 Estimate of gamma = 0.26567 std. error for gamma = 0.04570 Estimate of sigma_t^2 = 3.86974 Estimate of sigma_u^2 = 7.22793 Estimate of sigma_e^2 = 3.59793 Estimate of sigma_r^2 = 5.01662 Estimate of sigma_{eu} = -0.17333 Estimate of beta1 = 0.73489 Estimate of beta0 = 17.18933 Rel. risk: Obs to True = 1.43155 Its std err = 0.08834 Rel. Risk: True to Obs = 1.20219 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ACS 10 * log_e(Energy) Ratio of sigma_s^2 to sigma_r^2 = 0.00000 There WAS ratio adjustment of these data to make each visit have the same mean rho(r,s) beta_1 sigma_t^2 sigma_r^2 RR(O-T) RR(T-O) s.e.(gamma) gamma se(RR(O--T)) 0.00000 0.73489 3.86974 5.01662 1.43155 1.20219 0.04570 0.26567 0.08834 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 Rosner rhoqt attenuation True from Obs Obs from True sigsq_x beta1 0.00000 0.26385 1.43510 1.20068 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ************************************************************************** ACS 10 *log(Protein) Uses both men and women Ratio of sigma_s^2 to sigma_r^2 = 0.00000 ************************************************************************* Mean of the FFQ's = 40.82939 40.81489 S.D. of the FFQ's = 3.54995 3.35204 Mean of the FR's = 42.77022 42.69323 43.19357 42.86963 S.D. of the FR's = 3.98767 3.89144 3.92488 3.73785 Correlation between the two FFQ's = 0.67797 Mean of WW = 42.77022 42.69323 43.19357 42.86963 Mean of yy = 40.82939 40.81489 Covariance of mean FFQ and Mean FR = 3.69371 Correlation of Mean FFQ and mean FR= 0.41856 FR# FFQ# Covariance Correlation 1.00000 1.00000 4.11988 0.29103 1.00000 2.00000 4.45929 0.33361 2.00000 1.00000 4.23100 0.30627 2.00000 2.00000 3.76377 0.28854 3.00000 1.00000 3.31916 0.23822 3.00000 2.00000 3.17557 0.24137 4.00000 1.00000 3.16244 0.23833 4.00000 2.00000 3.31860 0.26486 Average covariance of FFQ and FR = 3.69371 Average correlation of FFQ and FR = 0.27528 Starting value for mu_t = 42.77022 Starting value for mu_q = 40.82939 Starting value for beta0 = 1.41620 Starting value for sigma_u^2 = 4.21612 Starting value for sigma_t^2 = 3.39138 Starting value for beta1 = 0.92151 Starting value for sigma_{eu} = -0.65874 Starting value for sigma_e^2 = 6.97247 Starting value for sigma_r^2 = 6.33810 Value of rhors = 0.00000 Rel. risk: Obs to True, start = 1.63848 Rel. Risk: True to Obs, start = 1.14316 Starting log likelihood = -4932.66526 Ending log likelihood = -4177.58234 Return code = 0.00000 The inverse Hessian at the minimum = 0.00616 -0.01234 -0.01325 -0.00032 0.00465 0.00000 0.00000 -0.00441 -0.01234 0.30096 0.01650 0.00000 -0.03792 0.00000 0.00000 0.00208 -0.01325 0.01650 0.37480 -0.03367 -0.01613 0.00000 0.00001 0.02122 -0.00032 0.00000 -0.03367 0.07159 0.00026 0.00000 0.00000 0.01159 0.00465 -0.03792 -0.01613 0.00026 0.15260 0.00000 0.00000 0.00981 0.00000 0.00000 0.00000 0.00000 0.00000 0.01886 0.00899 0.00000 0.00000 0.00000 0.00001 0.00000 0.00000 0.00899 0.02426 0.00000 -0.00441 0.00208 0.02122 0.01159 0.00981 0.00000 0.00000 0.17634 The Hessian at the minimum = 196.87468 7.21204 6.55168 3.32964 -3.78090 0.00404 -0.00128 4.03948 7.21204 3.70037 0.12507 0.07626 0.70785 -0.00069 -0.00002 0.07723 6.55168 0.12507 3.05574 1.51695 0.17204 -0.00021 -0.00070 -0.31471 3.32964 0.07626 1.51695 14.87191 0.12225 -0.00010 -0.00035 -1.08461 -3.78090 0.70785 0.17204 0.12225 6.89521 -0.00032 -0.00004 -0.51511 0.00404 -0.00069 -0.00021 -0.00010 -0.00032 64.41982 -23.87676 0.00019 -0.00128 -0.00002 -0.00070 -0.00035 -0.00004 -23.87676 50.06463 0.00013 4.03948 0.07723 -0.31471 -1.08461 -0.51511 0.00019 0.00013 5.90869 Estimate of mut = 42.77022 Estimate of muq = 40.82214 Estimate of rhoqt = 0.45401 Estimate of gamma = 0.30373 std. error for gamma = 0.03382 Estimate of sigma_t^2 = 5.31270 Estimate of sigma_u^2 = 9.68749 Estimate of sigma_e^2 = 3.82934 Estimate of sigma_r^2 = 5.59459 Estimate of sigma_{eu} = 0.65047 Estimate of beta1 = 0.67865 Estimate of beta0 = 11.80347 Rel. risk: Obs to True = 1.36862 Its std err = 0.04782 Rel. Risk: True to Obs = 1.23433 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ACS 10 * log_e(Protein) Ratio of sigma_s^2 to sigma_r^2 = 0.00000 There WAS ratio adjustment of these data to make each visit have the same mean rho(r,s) beta_1 sigma_t^2 sigma_r^2 RR(O-T) RR(T-O) s.e.(gamma) gamma se(RR(O--T)) 0.00000 0.67865 5.31270 5.59459 1.36862 1.23433 0.03382 0.30373 0.04782 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 Rosner rhoqt attenuation True from Obs Obs from True sigsq_x beta1 0.00000 0.31087 1.35878 1.24046 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ************************************************************************** NHS % Calories from Fat Ratio of sigma_s^2 to sigma_r^2 = 0.00000 ************************************************************************* Mean of the FFQ's = 37.89920 36.91941 S.D. of the FFQ's = 7.39257 6.72784 Mean of the FR's = 37.77185 37.72368 38.36870 37.91689 S.D. of the FR's = 5.20186 5.48332 5.34785 5.29228 Correlation between the two FFQ's = 0.52004 Mean of WW = 37.77185 37.72368 38.36870 37.91689 Mean of yy = 37.89920 36.91941 Covariance of mean FFQ and Mean FR = 13.69410 Correlation of Mean FFQ and mean FR= 0.52154 FR# FFQ# Covariance Correlation 1.00000 1.00000 12.72329 0.33086 1.00000 2.00000 12.35186 0.35294 2.00000 1.00000 14.72568 0.36328 2.00000 2.00000 16.52183 0.44786 3.00000 1.00000 13.97263 0.35343 3.00000 2.00000 14.70244 0.40863 4.00000 1.00000 10.95746 0.28007 4.00000 2.00000 13.59763 0.38190 Average covariance of FFQ and FR = 13.69410 Average correlation of FFQ and FR = 0.36487 Starting value for mu_t = 37.77185 Starting value for mu_q = 37.89920 Starting value for beta0 = -6.06459 Starting value for sigma_u^2 = 13.49966 Starting value for sigma_t^2 = 11.94889 Starting value for beta1 = 1.16393 Starting value for sigma_{eu} = -1.17592 Starting value for sigma_e^2 = 24.31954 Starting value for sigma_r^2 = 10.29971 Value of rhors = 0.00000 Rel. risk: Obs to True, start = 1.41649 Rel. Risk: True to Obs, start = 1.20893 Starting log likelihood = -2127.32205 Ending log likelihood = -2124.83828 Return code = 0.00000 The inverse Hessian at the minimum = 0.01506 -0.05233 -0.08535 0.00181 0.01215 0.00000 0.00000 -0.01440 -0.05233 3.85802 0.16995 -0.00363 -0.18016 0.00002 0.00002 -0.06002 -0.08535 0.16995 11.72851 -3.57386 -0.17298 0.00004 0.00007 0.68626 0.00181 -0.00363 -3.57386 7.04025 0.00315 0.00000 0.00000 -0.23941 0.01215 -0.18016 -0.17298 0.00315 0.72222 0.00000 0.00000 -0.02566 0.00000 0.00002 0.00004 0.00000 0.00000 0.10653 0.08190 -0.00001 0.00000 0.00002 0.00007 0.00000 0.00000 0.08190 0.22990 -0.00002 -0.01440 -0.06002 0.68626 -0.23941 -0.02566 -0.00001 -0.00002 3.67056 The Hessian at the minimum = 73.81933 0.93869 0.58603 0.28645 -0.86079 0.00075 -0.00004 0.20811 0.93869 0.27440 0.00382 0.00209 0.05385 -0.00004 0.00000 0.00797 0.58603 0.00382 0.10686 0.05362 0.01596 -0.00002 -0.00002 -0.01401 0.28645 0.00209 0.05362 0.16926 0.00789 -0.00001 -0.00001 0.00223 -0.86079 0.05385 0.01596 0.00789 1.41649 -0.00003 -0.00001 0.00494 0.00075 -0.00004 -0.00002 -0.00001 -0.00003 12.92870 -4.60586 0.00001 -0.00004 0.00000 -0.00002 -0.00001 -0.00001 -4.60586 5.99054 0.00003 0.20811 0.00797 -0.01401 0.00223 0.00494 0.00001 0.00003 0.27618 Estimate of mut = 37.77183 Estimate of muq = 37.40930 Estimate of rhoqt = 0.51199 Estimate of gamma = 0.27374 s.e. for gamma = 0.03552 Estimate of sigma_t^2 = 14.52307 Estimate of sigma_u^2 = 13.49976 Estimate of sigma_e^2 = 24.32610 Estimate of sigma_r^2 = 13.16189 Estimate of sigma_{eu} = -1.18043 Estimate of beta1 = 0.95761 Estimate of beta0 = 1.72861 Rel. risk: Obs to True = 1.41649 Its s.e. = 0.06400 Rel. Risk: True to Obs = 1.20893 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& NHS % Calories from Fat Ratio of sigma_s^2 to sigma_r^2 = 0.00000 There WAS ratio adjustment of these data to make each visit have the same mean rho(r,s) beta_1 sigma_t^2 sigma_r^2 RR(O-T) RR(T-O) s.e.(gamma) gamma se(RR(O--T)) 0.00000 0.95761 14.52307 13.16189 1.41649 1.20893 0.03552 0.27374 0.06400 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 Rosner rhoqt attenuation True from Obs Obs from True sigsq_x beta1 0.00000 0.30805 1.36260 1.23804 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ************************************************************************** NHS log(Total Fat) Ratio of sigma_s^2 to sigma_r^2 = 0.00000 ************************************************************************* Mean of the FFQ's = 40.99415 39.50253 S.D. of the FFQ's = 3.97555 3.95145 Mean of the FR's = 42.21385 41.79719 41.77767 41.81198 S.D. of the FR's = 2.91923 2.97187 2.98504 3.16863 Correlation between the two FFQ's = 0.56719 Mean of WW = 42.21385 41.79719 41.77767 41.81198 Mean of yy = 40.99415 39.50253 Covariance of mean FFQ and Mean FR = 2.96453 Correlation of Mean FFQ and mean FR= 0.34640 FR# FFQ# Covariance Correlation 1.00000 1.00000 2.25236 0.19408 1.00000 2.00000 2.90358 0.25171 2.00000 1.00000 2.91839 0.24701 2.00000 2.00000 4.42582 0.37688 3.00000 1.00000 2.11212 0.17798 3.00000 2.00000 3.18828 0.27030 4.00000 1.00000 1.86777 0.14827 4.00000 2.00000 4.04794 0.32330 Average covariance of FFQ and FR = 2.96453 Average correlation of FFQ and FR = 0.24869 Starting value for mu_t = 42.21385 Starting value for mu_q = 40.99415 Starting value for beta0 = 2.09366 Starting value for sigma_u^2 = 4.21612 Starting value for sigma_t^2 = 3.39138 Starting value for beta1 = 0.92151 Starting value for sigma_{eu} = -0.65874 Starting value for sigma_e^2 = 6.97247 Starting value for sigma_r^2 = 6.33810 Value of rhors = 0.00000 Rel. risk: Obs to True, start = 1.63848 Rel. Risk: True to Obs, start = 1.14316 Starting log likelihood = -1624.96872 Ending log likelihood = -1557.39789 Return code = 0.00000 The inverse Hessian at the minimum = 0.01658 -0.01098 -0.02124 0.00095 0.00236 0.00000 0.00000 -0.00549 -0.01098 0.43832 0.00662 -0.00063 -0.01721 0.00001 0.00000 -0.02135 -0.02124 0.00662 1.65673 -0.29390 -0.00817 0.00001 0.00002 0.05804 0.00095 -0.00063 -0.29390 0.57786 0.00079 0.00000 0.00000 -0.04685 0.00236 -0.01721 -0.00817 0.00079 0.07029 0.00000 0.00000 -0.00569 0.00000 0.00001 0.00001 0.00000 0.00000 0.03588 0.01811 0.00000 0.00000 0.00000 0.00002 0.00000 0.00000 0.01811 0.07549 0.00000 -0.00549 -0.02135 0.05804 -0.04685 -0.00569 0.00000 0.00000 0.36634 The Hessian at the minimum = 62.93028 1.54800 0.83098 0.39840 -1.57091 0.00161 -0.00016 0.92862 1.54800 2.34945 0.01042 0.01828 0.53783 -0.00054 0.00000 0.16918 0.83098 0.01042 0.67623 0.33845 0.04531 -0.00004 -0.00016 -0.05008 0.39840 0.01828 0.33845 1.91815 0.02491 -0.00002 -0.00008 0.19912 -1.57091 0.53783 0.04531 0.02491 14.43441 -0.00019 -0.00001 0.22791 0.00161 -0.00054 -0.00004 -0.00002 -0.00019 31.70627 -7.60608 0.00004 -0.00016 0.00000 -0.00016 -0.00008 -0.00001 -7.60608 15.07060 0.00003 0.92862 0.16918 -0.05008 0.19912 0.22791 0.00004 0.00003 2.79041 Estimate of mut = 42.21385 Estimate of muq = 40.24834 Estimate of rhoqt = 0.34823 Estimate of gamma = 0.19307 s.e. for gamma = 0.03970 Estimate of sigma_t^2 = 4.97647 Estimate of sigma_u^2 = 4.21610 Estimate of sigma_e^2 = 6.97223 Estimate of sigma_r^2 = 7.25340 Estimate of sigma_{eu} = -0.66045 Estimate of beta1 = 0.62807 Estimate of beta0 = 14.48069 Rel. risk: Obs to True = 1.63829 Its s.e. = 0.16628 Rel. Risk: True to Obs = 1.14320 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& NHS 10 * log_e(Total Fat) Ratio of sigma_s^2 to sigma_r^2 = 0.00000 There WAS ratio adjustment of these data to make each visit have the same mean rho(r,s) beta_1 sigma_t^2 sigma_r^2 RR(O-T) RR(T-O) s.e.(gamma) gamma se(RR(O--T)) 0.00000 0.62807 4.97647 7.25340 1.63829 1.14320 0.03970 0.19307 0.16628 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 Rosner rhoqt attenuation True from Obs Obs from True sigsq_x beta1 0.00000 0.22788 1.51930 1.17111 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ************************************************************************** NHS log(Energy) Ratio of sigma_s^2 to sigma_r^2 = 0.00000 ************************************************************************* Mean of the FFQ's = 72.86683 71.61251 S.D. of the FFQ's = 3.12183 3.48414 Mean of the FR's = 74.02166 73.62954 73.42854 73.58590 S.D. of the FR's = 2.30727 2.31073 2.50610 2.48287 Correlation between the two FFQ's = 0.62290 Mean of WW = 74.02166 73.62954 73.42854 73.58590 Mean of yy = 72.86683 71.61251 Covariance of mean FFQ and Mean FR = 2.15032 Correlation of Mean FFQ and mean FR= 0.35041 FR# FFQ# Covariance Correlation 1.00000 1.00000 1.77627 0.24660 1.00000 2.00000 2.39156 0.29750 2.00000 1.00000 1.77505 0.24607 2.00000 2.00000 2.81330 0.34944 3.00000 1.00000 1.47906 0.18905 3.00000 2.00000 2.68091 0.30704 4.00000 1.00000 1.45944 0.18829 4.00000 2.00000 2.82697 0.32679 Average covariance of FFQ and FR = 2.15032 Average correlation of FFQ and FR = 0.26885 Starting value for mu_t = 74.02166 Starting value for mu_q = 72.86683 Starting value for beta0 = 7.77070 Starting value for sigma_u^2 = 2.05397 Starting value for sigma_t^2 = 2.52620 Starting value for beta1 = 0.87942 Starting value for sigma_{eu} = -0.31974 Starting value for sigma_e^2 = 4.18265 Starting value for sigma_r^2 = 4.95959 Value of rhors = 0.00000 Rel. risk: Obs to True, start = 1.60968 Rel. Risk: True to Obs, start = 1.14887 Starting log likelihood = -1364.55862 Ending log likelihood = -1275.42492 Return code = 0.00000 The inverse Hessian at the minimum = 0.01434 -0.00463 -0.00873 0.00016 0.00072 0.00000 0.00000 -0.00235 -0.00463 0.21950 0.00207 -0.00058 -0.00406 0.00001 0.00001 -0.00707 -0.00873 0.00207 0.79681 -0.10336 -0.00190 0.00001 0.00003 0.00502 0.00016 -0.00058 -0.10336 0.20704 0.00023 0.00000 0.00000 -0.00824 0.00072 -0.00406 -0.00190 0.00023 0.01670 0.00000 0.00000 -0.00148 0.00000 0.00001 0.00001 0.00000 0.00000 0.02547 0.01298 0.00000 0.00000 0.00001 0.00003 0.00000 0.00000 0.01298 0.05354 0.00000 -0.00235 -0.00707 0.00502 -0.00824 -0.00148 0.00000 0.00000 0.10226 The Hessian at the minimum = 71.12113 1.50399 0.81408 0.42560 -2.46717 0.00420 -0.00033 1.69870 1.50399 4.61975 0.00863 0.02974 1.09212 -0.00196 0.00000 0.37189 0.81408 0.00863 1.35159 0.67436 0.11252 -0.00016 -0.00059 0.00898 0.42560 0.02974 0.67436 5.18220 0.02932 -0.00008 -0.00029 0.39672 -2.46717 1.09212 0.11252 0.02932 60.33885 -0.00066 -0.00004 0.88740 0.00420 -0.00196 -0.00016 -0.00008 -0.00066 44.80259 -10.86498 0.00016 -0.00033 0.00000 -0.00059 -0.00029 -0.00004 -10.86498 21.31123 0.00006 1.69870 0.37189 0.00898 0.39672 0.88740 0.00016 0.00006 9.88861 Estimate of mut = 74.02166 Estimate of muq = 72.23967 Estimate of rhoqt = 0.34366 Estimate of gamma = 0.20021 s.e. for gamma = 0.04087 Estimate of sigma_t^2 = 3.76607 Estimate of sigma_u^2 = 2.05397 Estimate of sigma_e^2 = 4.18279 Estimate of sigma_r^2 = 5.60280 Estimate of sigma_{eu} = -0.31977 Estimate of beta1 = 0.58989 Estimate of beta0 = 29.20185 Rel. risk: Obs to True = 1.60969 Its s.e. = 0.15644 Rel. Risk: True to Obs = 1.14887 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& rho(r,s) beta_1 sigma_t^2 sigma_r^2 RR(O-T) RR(T-O) s.e.(gamma) gamma se(RR(O--T)) 0.00000 0.58989 3.76607 5.60280 1.60969 1.14887 0.04087 0.20021 0.15644 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 Rosner rhoqt attenuation True from Obs Obs from True sigsq_x beta1 0.00000 0.10960 2.38591 1.07893 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ************************************************************************** WHT, 3 FR's % Calories from Fat Ratio of sigma_s^2 to sigma_r^2 = 0.00000 The value of rhors = 0.00000 ************************************************************************* Mean and std dev of Y before adjustments = 37.12570 8.94059 36.36779 8.30912 Mean and std dev of W before adjustments = 37.11802 7.77366 36.42081 8.05167 38.26186 7.99349 Mean of the FFQ's = 37.12570 37.12570 S.D. of the FFQ's = 8.94059 8.48229 Mean of the FR's = 37.11802 37.11802 37.11802 S.D. of the FR's = 7.77366 8.20581 7.75452 Correlation between the two FFQ's = 0.66569 Mean of WW = 37.11802 37.11802 37.11802 Mean of yy = 37.12570 37.12570 Covariance of mean FFQ and Mean FR = 31.65817 Correlation of Mean FFQ and mean FR= 0.60798 FR# FFQ# Covariance Correlation 1.00000 1.00000 41.07490 0.59100 1.00000 2.00000 20.87438 0.31657 2.00000 1.00000 31.09394 0.42383 2.00000 2.00000 36.29613 0.52147 3.00000 1.00000 33.25797 0.47971 3.00000 2.00000 27.35169 0.41583 Average covariance of FFQ and FR = 31.65817 Average correlation of FFQ and FR = 0.45807 Starting value for mu_t = 37.11802 Starting value for mu_q = 37.12570 Starting value for beta0 = -6.07708 Starting value for sigma_u^2 = 13.49966 Starting value for sigma_t^2 = 11.94889 Starting value for beta1 = 1.16393 Starting value for sigma_{eu} = -1.17592 Starting value for sigma_e^2 = 24.31954 Starting value for sigma_r^2 = 10.29971 Value of rhors = 0.00000 Rel. risk: Obs to True, start = 1.41649 Rel. Risk: True to Obs, start = 1.20893 Starting log likelihood = -1108.83816 Ending log likelihood = -1029.18530 Return code = 0.00000 The inverse Hessian at the minimum = 0.02003 -0.14550 -0.15881 -0.04458 0.04556 0.00000 0.00000 -0.05049 -0.14550 42.54475 0.63782 -0.56576 -3.38834 0.00011 0.00008 -1.38513 -0.15881 0.63782 41.04217 -2.14755 -0.64542 0.00015 0.00021 2.59356 -0.04458 -0.56576 -2.14755 12.23099 1.69938 0.00000 0.00000 5.39884 0.04556 -3.38834 -0.64542 1.69938 10.16022 0.00000 0.00000 4.15488 0.00000 0.00011 0.00015 0.00000 0.00000 0.49066 0.36456 0.00000 0.00000 0.00008 0.00021 0.00000 0.00000 0.36456 0.73331 0.00000 -0.05049 -1.38513 2.59356 5.39884 4.15488 0.00000 0.00000 7.92711 The Hessian at the minimum = 54.79031 0.17055 0.17910 0.08949 -0.37981 0.00027 -0.00004 0.45833 0.17055 0.02468 0.00029 0.00014 0.00678 0.00000 0.00000 0.00165 0.17910 0.00029 0.02719 0.01360 0.00723 0.00000 -0.00001 -0.02076 0.08949 0.00014 0.01360 0.12593 0.02049 0.00000 0.00000 -0.10036 -0.37981 0.00678 0.00723 0.02049 0.13568 0.00000 0.00000 -0.08867 0.00027 0.00000 0.00000 0.00000 0.00000 3.23186 -1.60670 0.00001 -0.00004 0.00000 -0.00001 0.00000 0.00000 -1.60670 2.16245 0.00000 0.45833 0.00165 -0.02076 -0.10036 -0.08867 0.00001 0.00000 0.25098 Estimate of mut = 37.11802 Estimate of muq = 37.12570 Estimate of rhoqt = 0.55156 Estimate of gamma = 0.36014 s.e. for gamma = 0.06447 Estimate of sigma_t^2 = 32.34242 Estimate of sigma_u^2 = 29.56284 Estimate of sigma_e^2 = 23.94514 Estimate of sigma_r^2 = 28.83770 Estimate of sigma_{eu} = 12.09422 Estimate of beta1 = 0.84474 Estimate of beta0 = 5.77074 Rel. risk: Obs to True = 1.30297 Its s.e. = 0.06173 Rel. Risk: True to Obs = 1.28355 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& WHT % Calories from Fat Ratio of sigma_s^2 to sigma_r^2 = 0.00000 There WAS ratio adjustment of these data to make each visit have the same mean rho(r,s) beta_1 sigma_t^2 sigma_r^2 RR(O-T) RR(T-O) s.e.(gamma) gamma se(RR(O__T)) 0.00000 0.84474 32.34242 28.83770 1.30297 1.28355 0.06447 0.36014 0.06173 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 Rosner rhoqt attenuation True from Obs Obs from True sigsq_x beta1 0.00000 0.42050 1.25440 1.33839 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ************************************************************************** WHT, 3 FR's log(Total Fat) Ratio of sigma_s^2 to sigma_r^2 = 0.00000 The value of rhors = 0.00000 ************************************************************************* Mean and std dev of Y before adjustments = 40.62989 4.93205 39.84209 4.71457 Mean and std dev of W before adjustments = 41.31358 3.72536 41.26779 3.71512 41.47681 3.75634 Mean of the FFQ's = 40.62989 40.62989 S.D. of the FFQ's = 4.93205 4.80780 Mean of the FR's = 41.31358 41.31358 41.31358 S.D. of the FR's = 3.72536 3.71924 3.74155 Correlation between the two FFQ's = 0.57691 Mean of WW = 41.31358 41.31358 41.31358 Mean of yy = 40.62989 40.62989 Covariance of mean FFQ and Mean FR = 7.31842 Correlation of Mean FFQ and mean FR= 0.55690 FR# FFQ# Covariance Correlation 1.00000 1.00000 9.76165 0.53129 1.00000 2.00000 5.41099 0.30211 2.00000 1.00000 5.24676 0.28603 2.00000 2.00000 9.07005 0.50724 3.00000 1.00000 7.10365 0.38495 3.00000 2.00000 7.31745 0.40678 Average covariance of FFQ and FR = 7.31842 Average correlation of FFQ and FR = 0.40306 Starting value for mu_t = 41.31358 Starting value for mu_q = 40.62989 Starting value for beta0 = 2.55901 Starting value for sigma_u^2 = 4.21612 Starting value for sigma_t^2 = 3.39138 Starting value for beta1 = 0.92151 Starting value for sigma_{eu} = -0.65874 Starting value for sigma_e^2 = 6.97247 Starting value for sigma_r^2 = 6.33810 Value of rhors = 0.00000 Rel. risk: Obs to True, start = 1.63848 Rel. Risk: True to Obs, start = 1.14316 Starting log likelihood = -808.49595 Ending log likelihood = -750.66802 Return code = 0.00000 The inverse Hessian at the minimum = 0.03138 -0.03348 -0.05275 -0.02028 0.01141 0.00000 0.00000 -0.01861 -0.03348 1.98374 0.03160 -0.04891 -0.18881 0.00002 0.00002 -0.09605 -0.05275 0.03160 4.28494 -0.46972 -0.03136 0.00004 0.00007 0.19932 -0.02028 -0.04891 -0.46972 1.84521 0.14648 0.00000 0.00000 0.57284 0.01141 -0.18881 -0.03136 0.14648 0.56652 0.00000 0.00000 0.28808 0.00000 0.00002 0.00004 0.00000 0.00000 0.10568 0.08584 0.00000 0.00000 0.00002 0.00007 0.00000 0.00000 0.08584 0.21839 0.00000 -0.01861 -0.09605 0.19932 0.57284 0.28808 0.00000 0.00000 0.67006 The Hessian at the minimum = 34.36404 0.52690 0.37162 0.18577 -1.19080 0.00092 -0.00002 1.27256 0.52690 0.52872 0.00285 0.00145 0.15417 -0.00010 0.00000 0.02206 0.37162 0.00285 0.26301 0.13150 0.08385 -0.00005 -0.00006 -0.21598 0.18577 0.00145 0.13150 0.81595 0.21106 -0.00002 -0.00003 -0.82205 -1.19080 0.15417 0.08385 0.21106 2.43237 -0.00009 -0.00002 -1.26211 0.00092 -0.00010 -0.00005 -0.00002 -0.00009 13.90038 -5.46353 0.00008 -0.00002 0.00000 -0.00006 -0.00003 -0.00002 -5.46353 6.72637 0.00005 1.27256 0.02206 -0.21598 -0.82205 -1.26211 0.00008 0.00005 2.84056 Estimate of mut = 41.31357 Estimate of muq = 40.62989 Estimate of rhoqt = 0.48897 Estimate of gamma = 0.26079 s.e. for gamma = 0.05461 Estimate of sigma_t^2 = 6.76182 Estimate of sigma_u^2 = 6.97978 Estimate of sigma_e^2 = 9.37542 Estimate of sigma_r^2 = 8.71150 Estimate of sigma_{eu} = 3.54904 Estimate of beta1 = 0.91678 Estimate of beta0 = 2.75445 Rel. risk: Obs to True = 1.44118 Its s.e. = 0.11029 Rel. Risk: True to Obs = 1.19814 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& WHT 10 * log_e(Total Fat) Ratio of sigma_s^2 to sigma_r^2 = 0.00000 There WAS ratio adjustment of these data to make each visit have the same mean rho(r,s) beta_1 sigma_t^2 sigma_r^2 RR(O-T) RR(T-O) s.e.(gamma) gamma se(RR(O__T)) 0.00000 0.91678 6.76182 8.71150 1.44118 1.19814 0.05461 0.26079 0.11029 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 Rosner rhoqt attenuation True from Obs Obs from True sigsq_x beta1 0.00000 0.31231 1.35687 1.24169 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ************************************************************************** WHT, 3 FR's 10 * log(Energy) Ratio of sigma_s^2 to sigma_r^2 = 0.00000 The value of rhors = 0.00000 ************************************************************************* Mean and std dev of Y before adjustments = 72.83524 3.39638 72.19037 3.46005 Mean and std dev of W before adjustments = 73.45132 2.28463 73.61001 2.42099 45.52902 2.21121 Mean of the FFQ's = 72.83524 72.83524 S.D. of the FFQ's = 3.39638 3.49096 Mean of the FR's = 73.45132 73.45132 73.45132 S.D. of the FR's = 2.28463 2.41577 3.56731 Correlation between the two FFQ's = 0.57160 Mean of WW = 73.45132 73.45132 73.45132 Mean of yy = 72.83524 72.83524 Covariance of mean FFQ and Mean FR = 1.84145 Correlation of Mean FFQ and mean FR= 0.32988 FR# FFQ# Covariance Correlation 1.00000 1.00000 2.97072 0.38285 1.00000 2.00000 2.34137 0.29357 2.00000 1.00000 2.41072 0.29382 2.00000 2.00000 3.70345 0.43914 3.00000 1.00000 -1.37959 -0.11387 3.00000 2.00000 1.00203 0.08046 Average covariance of FFQ and FR = 1.84145 Average correlation of FFQ and FR = 0.22933 Starting value for mu_t = 73.45132 Starting value for mu_q = 72.83524 Starting value for beta0 = 5.14912 Starting value for sigma_u^2 = 4.21612 Starting value for sigma_t^2 = 3.39138 Starting value for beta1 = 0.92151 Starting value for sigma_{eu} = -0.65874 Starting value for sigma_e^2 = 6.97247 Starting value for sigma_r^2 = 6.33810 Value of rhors = 0.00000 Rel. risk: Obs to True, start = 1.63848 Rel. Risk: True to Obs, start = 1.14316 Starting log likelihood = -697.10828 Ending log likelihood = -660.27805 Return code = 0.00000 The inverse Hessian at the minimum = 0.36411 -0.11982 -0.23945 -0.15691 0.09224 -0.00002 -0.00001 -0.12970 -0.11982 0.31187 0.04903 -0.03963 -0.18013 0.00002 0.00001 -0.08447 -0.23945 0.04903 1.55958 -0.18206 -0.04905 0.00003 0.00005 0.05356 -0.15691 -0.03963 -0.18206 1.23583 0.11889 0.00000 -0.00001 0.74886 0.09224 -0.18013 -0.04905 0.11889 0.54032 0.00000 0.00000 0.25341 -0.00002 0.00002 0.00003 0.00000 0.00000 0.03826 0.02412 0.00000 -0.00001 0.00001 0.00005 -0.00001 0.00000 0.02412 0.10116 0.00000 -0.12970 -0.08447 0.05356 0.74886 0.25341 0.00000 0.00000 0.79519 The Hessian at the minimum = 4.09119 1.37215 0.57706 0.28822 -0.57350 0.00091 -0.00025 0.68554 1.37215 4.44317 0.10201 0.05095 1.11046 -0.00143 -0.00004 0.28708 0.57706 0.10201 0.78694 0.39347 0.08205 -0.00014 -0.00035 -0.34474 0.28822 0.05095 0.39347 2.19919 0.56294 -0.00007 -0.00017 -2.22453 -0.57350 1.11046 0.08205 0.56294 2.87143 -0.00082 -0.00006 -1.42632 0.00091 -0.00143 -0.00014 -0.00007 -0.00082 30.75664 -7.33332 0.00041 -0.00025 -0.00004 -0.00035 -0.00017 -0.00006 -7.33332 11.63419 0.00020 0.68554 0.28708 -0.34474 -2.22453 -1.42632 0.00041 0.00020 3.97256 Estimate of mut = 73.45132 Estimate of muq = 72.83524 Estimate of rhoqt = 0.28830 Estimate of gamma = 0.08394 s.e. for gamma = 0.05310 Estimate of sigma_t^2 = 1.01861 Estimate of sigma_u^2 = 6.81626 Estimate of sigma_e^2 = 6.13318 Estimate of sigma_r^2 = 4.88401 Estimate of sigma_{eu} = 3.19679 Estimate of beta1 = 0.99018 Estimate of beta0 = 0.10523 Rel. risk: Obs to True = 3.11261 Its s.e. = 2.23582 Rel. Risk: True to Obs = 1.05991 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& WHT 10 * log_e(Energy) Ratio of sigma_s^2 to sigma_r^2 = 0.00000 There WAS ratio adjustment of these data to make each visit have the same mean rho(r,s) beta_1 sigma_t^2 sigma_r^2 RR(O-T) RR(T-O) s.e.(gamma) gamma se(RR(O__T)) 0.00000 0.99018 1.01861 4.88401 3.11261 1.05991 0.05310 0.08394 2.23582 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 Rosner rhoqt attenuation True from Obs Obs from True sigsq_x beta1 0.00000 0.15601 1.84215 1.11420 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ************************************************************************** AARP % Calories from Fat Ratio of sigma_s^2 to sigma_r^2 = 0.0000 There was No ratio adjustment of these data to make each visit have the same mean. In this as in all the analyses, I removed observations with missing BMI. The value of gender was 1.0000 where this value = 0 for males and = 1 for females ************************************************************************* The total number of observations = 969.0000 Mean of the first FFQ = 29.9272 S.D. of the first FFQ = 8.4449 Mean of the first FR = 30.2435 S.D. of the first FR = 10.2325 Correlation between first FFQ and first FR = 0.4118 Number with all data points = 526.0000 Number missing only second FFQ = 409.0000 Number missing only second FR = 8.0000 Number missing second FR and second FFQ = 26.0000 Starting value for mu_t = 47.4563 Starting value for beta0 = -12.8205 Starting value for sigma_u^2 = 58.0700 Starting value for sigma_t^2 = 37.6800 Starting value for beta1 = 0.8995 Starting value for sigma_{eu} = 0.0000 Starting value for sigma_e^2 = 13.5100 Starting value for sigma_r^2 = 13.4500 Starting value for sigsqy = 61.4195 Variance of the first FFQ = 71.3157 Value of rhors = 0.0000 Rel. risk: Obs to True, start = 1.1885 Rel. Risk: True to Obs, start = 1.4659 Loglikelihoods below do NOT have the -(p/2)ln(2 .* pi) contribution Starting log likelihood, all data = -8864.9767 Computing MLE for all data Return code = 0.0000 The inverse Hessian at the minimum = 0.0048 -0.0029 -0.1847 0.1113 0.0000 -0.0116 -0.0029 0.8945 -0.0809 0.0093 0.0005 0.1303 -0.1847 -0.0809 11.1103 -4.7045 -0.0119 -0.1950 0.1113 0.0093 -4.7045 9.2364 -0.0002 0.3586 0.0000 0.0005 -0.0119 -0.0002 0.0541 0.0030 -0.0116 0.1303 -0.1950 0.3586 0.0030 1.8980 The Hessian at the minimum = 696.1510 2.4063 10.2627 -3.3850 2.2819 5.7733 2.4063 1.1384 0.0452 -0.0048 0.0046 -0.0579 10.2627 0.0452 0.2662 0.0086 0.0590 0.0852 -3.3850 -0.0048 0.0086 0.1553 0.0034 -0.0488 2.2819 0.0046 0.0590 0.0034 18.5162 -0.0106 5.7733 -0.0579 0.0852 -0.0488 -0.0106 0.5841 Loglikelihoods below do NOT have the -(p/2)ln(2 .* pi) contribution Ending log likelihood, all data = -8851.9227 Using all the Data Estimate of mut = 30.3224 Estimate of muq = 29.8665 Estimate of rhoqt = 0.6388 Estimate of gamma = 0.4819 s.e. of gamma = 0.0277 Estimate of sigma_t^2 = 34.9512 Estimate of sigma_u^2 = 65.6364 Estimate of sigma_e^2 = 15.7390 Estimate of sigma_r^2 = 20.6181 Estimate of sigma_{eu} = 2.1246 Estimate of beta1 = 0.8468 Estimate of beta0 = 4.1895 Starting value for sigsqy = 61.4195 Variance of the first FFQ = 71.3157 Rel. risk: Obs to True = 1.2187 s.e. of this relative risk = 0.0139 Rel. Risk: True to Obs = 1.3966 Standard error for estimating gamma = 0.0277 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& AARP % Calories from Fat Ratio of sigma_s^2 to sigma_r^2 = 0.0000 There was No ratio adjustment of these data to make each visit have the same mean rho(r,s) beta_1 sigma_t^2 sigma_r^2 RR(O-T) RR(T-O) s.e.(gamma) gamma1 se(RR(O--T)) 0.0000 0.8468 34.9512 20.6181 1.2187 1.3966 0.0277 0.4819 0.0139 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 Rosner analysis using only first FFQ and first FR rhoqt attenuation True from Obs Obs from True sigsq_x beta1 0.0000 0.4995 1.2102 1.4137 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ************************************************************************** AARP 10*log(Total Fat) Ratio of sigma_s^2 to sigma_r^2 = 0.0000 There was No ratio adjustment of these data to make each visit have the same mean The value of gender was 1.0000 where this value = 0 for males and = 1 for females ************************************************************************* The total number of observations = 969.0000 Mean of the first FFQ = 37.9299 S.D. of the first FFQ = 5.0539 Mean of the first FR = 38.9180 S.D. of the first FR = 6.0597 Correlation between first FFQ and first FR = 0.2512 Number with all data points = 526.0000 Number missing only second FFQ = 409.0000 Number missing only second FR = 8.0000 Number missing second FR and second FFQ = 26.0000 Starting value for mu_t = 39.4322 Starting value for beta0 = 10.8027 Starting value for sigma_u^2 = 7.3300 Starting value for sigma_t^2 = 9.1100 Starting value for beta1 = 0.7500 Starting value for sigma_{eu} = 1.4400 Starting value for sigma_e^2 = 5.1900 Starting value for sigma_r^2 = 3.4900 Starting value for sigsqy = 23.7517 Variance of the first FFQ = 25.5423 Value of rhors = 0.0000 Rel. risk: Obs to True, start = 1.3928 Rel. Risk: True to Obs, start = 1.2207 Loglikelihoods below do NOT have the -(p/2)ln(2 .* pi) contribution Starting log likelihood, all data = -8088.8330 Computing MLE for all data Return code = 0.0000 The inverse Hessian at the minimum = 0.0033 -0.0011 -0.0363 0.0212 0.0027 -0.0042 -0.0011 0.1102 -0.0047 0.0023 0.0003 0.0237 -0.0363 -0.0047 1.6130 -0.5921 0.0372 -0.0321 0.0212 0.0023 -0.5921 1.1612 0.0002 0.0597 0.0027 0.0003 0.0372 0.0002 0.0303 0.0014 -0.0042 0.0237 -0.0321 0.0597 0.0014 0.2504 The Hessian at the minimum = 544.1650 3.8998 12.4457 -4.1927 -65.2568 11.7312 3.8998 9.2941 0.1158 0.0105 -0.5614 -0.8003 12.4457 0.1158 1.0753 0.3070 -2.4678 0.2768 -4.1927 0.0105 0.3070 1.1096 0.0094 -0.2966 -65.2568 -0.5614 -2.4678 0.0094 42.0553 -1.6028 11.7312 -0.8003 0.2768 -0.2966 -1.6028 4.3815 Loglikelihoods below do NOT have the -(p/2)ln(2 .* pi) contribution Ending log likelihood, all data = -7353.5436 Using all the Data Estimate of mut = 39.7398 Estimate of muq = 40.3768 Estimate of rhoqt = 0.3875 Estimate of gamma = 0.2927 s.e. of gamma = 0.0303 Estimate of sigma_t^2 = 13.5486 Estimate of sigma_u^2 = 23.3104 Estimate of sigma_e^2 = 5.7649 Estimate of sigma_r^2 = 14.4203 Estimate of sigma_{eu} = 1.2349 Estimate of beta1 = 0.5131 Estimate of beta0 = 19.9878 Starting value for sigsqy = 23.7517 Variance of the first FFQ = 25.5423 Rel. risk: Obs to True = 1.3849 s.e. of this relative risk = 0.0467 Rel. Risk: True to Obs = 1.2249 Standard error for estimating gamma = 0.0303 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& AARP 10 * log_e(Total Fat) Ratio of sigma_s^2 to sigma_r^2 = 0.0000 There was No ratio adjustment of these data to make each visit have the same mean rho(r,s) beta_1 sigma_t^2 sigma_r^2 RR(O-T) RR(T-O) s.e.(gamma) gamma1 se(RR(O--T)) 0.0000 0.5131 13.5486 14.4203 1.3849 1.2249 0.0303 0.2927 0.0467 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 Rosner analysis using only first FFQ and first FR rhoqt attenuation True from Obs Obs from True sigsq_x beta1 0.0000 0.3016 1.3717 1.2325 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ************************************************************************** AARP 10*log(Energy) Ratio of sigma_s^2 to sigma_r^2 = 0.0000 There was No ratio adjustment of these data to make each visit have the same mean The value of gender was 1.0000 where this value = 0 for males and = 1 for females ************************************************************************* The total number of observations = 969.0000 Mean of the first FFQ = 72.4044 S.D. of the first FFQ = 3.5020 Mean of the first FR = 73.5147 S.D. of the first FR = 3.6837 Correlation between first FFQ and first FR = 0.1342 Number with all data points = 526.0000 Number missing only second FFQ = 409.0000 Number missing only second FR = 8.0000 Number missing second FR and second FFQ = 26.0000 Starting value for mu_t = 75.1900 Starting value for beta0 = 17.3661 Starting value for sigma_u^2 = 7.5200 Starting value for sigma_t^2 = 5.7600 Starting value for beta1 = 0.7300 Starting value for sigma_{eu} = 0.0000 Starting value for sigma_e^2 = 3.8300 Starting value for sigma_r^2 = 6.3300 Starting value for sigsqy = 12.7571 Variance of the first FFQ = 12.2639 Value of rhors = 0.0000 Rel. risk: Obs to True, start = 1.3353 Rel. Risk: True to Obs, start = 1.2567 Loglikelihoods below do NOT have the -(p/2)ln(2 .* pi) contribution Starting log likelihood, all data = -5819.9897 Computing MLE for all data Return code = 0.0000 The inverse Hessian at the minimum = 0.0034 -0.0007 -0.0053 0.0030 0.0000 -0.0025 -0.0007 0.0520 -0.0009 0.0006 0.0001 0.0075 -0.0053 -0.0009 0.2315 -0.0648 0.0000 -0.0056 0.0030 0.0006 -0.0648 0.1255 0.0000 0.0089 0.0000 0.0001 0.0000 0.0000 0.0098 0.0003 -0.0025 0.0075 -0.0056 0.0089 0.0003 0.0560 The Hessian at the minimum = 317.6243 2.3616 6.0864 -5.4208 0.8297 15.0592 2.3616 19.6318 0.0878 0.0835 -0.0738 -2.5337 6.0864 0.0878 5.1659 2.4955 0.0071 0.3764 -5.4208 0.0835 2.4955 9.4919 0.0345 -1.5115 0.8297 -0.0738 0.0071 0.0345 102.5657 -0.5154 15.0592 -2.5337 0.3764 -1.5115 -0.5154 19.1324 Loglikelihoods below do NOT have the -(p/2)ln(2 .* pi) contribution Ending log likelihood, all data = -5785.5867 Using all the Data Estimate of mut = 73.4193 Estimate of muq = 72.2548 Estimate of rhoqt = 0.2118 Estimate of gamma = 0.1436 s.e. of gamma = 0.0273 Estimate of sigma_t^2 = 5.8669 Estimate of sigma_u^2 = 7.6457 Estimate of sigma_e^2 = 3.7545 Estimate of sigma_r^2 = 8.4303 Estimate of sigma_{eu} = 0.4921 Estimate of beta1 = 0.3123 Estimate of beta0 = 49.3248 Starting value for sigsqy = 12.7571 Variance of the first FFQ = 12.2639 Rel. risk: Obs to True = 1.9417 s.e. of this relative risk = 0.2447 Rel. Risk: True to Obs = 1.1047 Standard error for estimating gamma = 0.0273 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& AARP 10 * log_e(Total Energy) Ratio of sigma_s^2 to sigma_r^2 = 0.0000 There was No ratio adjustment of these data to make each visit have the same mean rho(r,s) beta_1 sigma_t^2 sigma_r^2 RR(O-T) RR(T-O) s.e.(gamma) gamma1 se(RR(O--T)) 0.0000 0.3123 5.8669 8.4303 1.9417 1.1047 0.0273 0.1436 0.2447 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 Rosner analysis using only first FFQ and first FR rhoqt attenuation True from Obs Obs from True sigsq_x beta1 0.0000 0.1413 1.9628 1.1029 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ************************************************************************** AARP 10*log(Protein) Ratio of sigma_s^2 to sigma_r^2 = 0.0000 There was No ratio adjustment of these data to make each visit have the same mean The value of gender was 1.0000 where this value = 0 for males and = 1 for females ************************************************************************* The total number of observations = 980.0000 Mean of the first FFQ = 39.6668 S.D. of the first FFQ = 4.1075 Mean of the first FR = 41.0776 S.D. of the first FR = 4.0995 Correlation between first FFQ and first FR = 0.1511 Number with all data points = 643.0000 Number missing only second FFQ = 303.0000 Number missing only second FR = 10.0000 Number missing second FR and second FFQ = 24.0000 Starting value for mu_t = 42.9364 Starting value for beta0 = -3.8812 Starting value for sigma_u^2 = 8.8010 Starting value for sigma_t^2 = 7.5406 Starting value for beta1 = 1.2932 Starting value for sigma_{eu} = 0.1301 Starting value for sigma_e^2 = 1.7177 Starting value for sigma_r^2 = 2.5734 Starting value for sigsqy = 16.6854 Variance of the first FFQ = 16.8713 Value of rhors = 0.0000 Rel. risk: Obs to True, start = 1.1771 Rel. Risk: True to Obs, start = 1.4994 Loglikelihoods below do NOT have the -(p/2)ln(2 .* pi) contribution Starting log likelihood, all data = -7367.6974 Computing MLE for all data Return code = 0.0000 The inverse Hessian at the minimum = 0.0082 -0.0011 -0.0235 0.0164 0.0001 -0.0053 -0.0011 0.0705 -0.0011 0.0004 0.0001 0.0064 -0.0235 -0.0011 0.3341 -0.1595 0.0003 -0.0078 0.0164 0.0004 -0.1595 0.3099 0.0000 0.0119 0.0001 0.0001 0.0003 0.0000 0.0108 0.0004 -0.0053 0.0064 -0.0078 0.0119 0.0004 0.0886 The Hessian at the minimum = 165.8639 1.8395 10.0189 -4.0674 -2.7890 11.3058 1.8395 14.3013 0.1577 0.0021 -0.0941 -0.9065 10.0189 0.1577 4.5738 1.7935 -0.3013 0.7539 -4.0674 0.0021 1.7935 4.3909 0.0073 -0.6774 -2.7890 -0.0941 -0.3013 0.0073 92.4673 -0.5628 11.3058 -0.9065 0.7539 -0.6774 -0.5628 12.1892 Loglikelihoods below do NOT have the -(p/2)ln(2 .* pi) contribution Ending log likelihood, all data = -6519.5003 Using all the Data Estimate of mut = 41.1409 Estimate of muq = 39.6270 Estimate of rhoqt = 0.2906 Estimate of gamma = 0.1582 s.e. of gamma = 0.0249 Estimate of sigma_t^2 = 4.9414 Estimate of sigma_u^2 = 12.0769 Estimate of sigma_e^2 = 4.8543 Estimate of sigma_r^2 = 10.4216 Estimate of sigma_{eu} = 0.3885 Estimate of beta1 = 0.5341 Estimate of beta0 = 17.6549 Starting value for sigsqy = 16.6854 Variance of the first FFQ = 16.8713 Rel. risk: Obs to True = 1.8268 s.e. of this relative risk = 0.1730 Rel. Risk: True to Obs = 1.1159 Standard error for estimating gamma = 0.0249 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& rho(r,s) beta_1 sigma_t^2 sigma_r^2 RR(O-T) RR(T-O) s.e.(gamma) gamma1 se(RR(O--T)) 0.0000 0.5341 4.9414 10.4216 1.8268 1.1159 0.0249 0.1582 0.1730 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 Rosner analysis using only first FFQ and first FR rhoqt attenuation True from Obs Obs from True sigsq_x beta1 0.0000 0.1510 1.8799 1.1103 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&