NLS results - 486 ----NDigits Beta---- NDigits Model Start1 Start2 Start3 SE(B) Pass=1/Fail=0 Misra1a 9.5 11.1 15.0 9.2 1. Chwirut2 8.6 10.9 15.0 9.0 1. Chwirut2 10.6 8.5 12.3 10.8 1. Lanczos3 8.3 9.3 10.5 8.3 1. Gauss1 8.8 10.6 10.6 8.6 1. Gauss2 10.3 10.3 10.3 10.4 1. DanielWo 10.2 10.8 11.2 10.2 1. Misra1b 10.9 10.9 11.0 10.9 1. Kirby2 10.6 10.5 10.5 10.8 1. Hahn1 8.6 9.8 10.8 9.4 1. Nelson 8.9 9.2 10.9 9.2 1. MGH17 -5.6L 10.3 11.4 9.9 1. Lanczos1 10.6 10.6 10.6 3.6* 0. Lanczos2 10.4 10.4 10.4 10.3 1. Gauss3 9.2 10.5 15.0 8.6 1. Misra1c 10.8 10.8 10.8 10.6 1. Misra1d 11.3 11.6 12.6 10.9 1. Roszman1 7.5 10.9 15.0 8.0 1. ENSO 7.4 7.4 9.7 8.5 1. MGH09 -3.4NC 8.1 12.1 8.2 1. Thurber 7.8 7.7 10.4 7.0 1. BoxBOD 8.4 9.3 11.7 8.4 1. Ratkows2 8.8 9.6 15.0 8.4 1. MGH10 -3.8L 10.9 10.9 10.6 1. Eckerle4 -3.2F 9.9 10.5 9.9 1. Ratkows3 7.4 9.0 11.0 9.1 1. Bennett5 11.0 11.0 11.0 10.4 1. NLS - 486 summary: 26./27 passed. NLS results - Sun 4 ----NDigits Beta---- NDigits Model Start1 Start2 Start3 SE(B) Pass=1/Fail=0 Misra1a 11.1 11.1 15.0 10.8 1. Chwirut2 8.7 9.9 15.0 9.1 1. Chwirut2 8.6 8.5 13.8 9.0 1. Lanczos3 8.3 6.5 10.5 8.3 1. Gauss1 10.6 10.6 10.6 10.6 1. Gauss2 10.0 10.0 10.3 9.9 1. DanielWo 10.3 11.2 11.2 10.4 1. Misra1b 10.9 10.9 11.0 10.9 1. Kirby2 8.9 8.3 10.5 8.7 1. Hahn1 10.0 10.7 14.4 10.3 1. Nelson 10.7 7.6 10.9 10.6 1. MGH17 -7.2L 7.2 11.2 6.8 1. Lanczos1 10.6 10.6 10.6 3.5* 0. Lanczos2 10.3 10.4 10.4 10.2 1. Gauss3 10.5 10.5 10.5 10.5 1. Misra1c 10.8 10.8 10.8 10.6 1. Misra1d 11.3 12.6 15.0 11.1 1. Roszman1 7.0 8.9 15.0 7.5 1. ENSO 6.8 6.5 15.0 8.0 1. MGH09 -3.4NC 7.3 10.4 7.4 1. Thurber 7.3 7.6 10.8 6.6 1. BoxBOD 8.4 9.3 11.7 8.4 1. Ratkows2 8.9 10.7 15.0 8.5 1. MGH10 -3.8L 10.9 11.0 10.8 1. Eckerle4 -3.2F 10.5 10.5 10.5 1. Ratkows3 8.3 8.4 11.1 8.4 1. Bennett5 9.2 11.0 15.0 9.1 1. NLS - Sun summary: 26./27 passed. Convergence notes: F = Failure to find increasing step, with norm of gradient > .1 NC = No Convergence, after 100 iterations (may be heading for the local optimum at the boundary for MGH09) L = convergence to Local optimum (inferior to the global optimum) In both cases, these involved singularity of the parameters: MGH17: all terms on the RHS became zero except the intercept. MGH10: the RHS became zero. If no note was given, then it either converged normally, or failed to find an increasing step, but with norm of gradient < 1E-10 . * For Lanczos1, TSP had to be enhanced (9/2/97) to keep iterating when the SSR became less than 1D-21 -- previously it would declare a perfect fit at around that point. On both 486 and Sun, it does not appear possible to reproduce the NIST certified SEs to a full 4 digits, with double precision data, due to the large number of significant digits (14) in the data. The SSR at the certified coefs is 3.98E-21 (vs. 1.4308E-25 given by NIST with extended precision data), so the SEs are different by a factor of 170 at the certified coefs. If we iterate as far as possible, we can get a SSR of 1.4303E-25 on the Sun4, and 1.4277E-25 on a 486. These SSRs are also too different from the NIST value to get a full 4 digits of agreement in the SEs. Double precision data, and a convergence tolerance of 1E-11 were used (since the goal was to obtain 11 correct digits). SE(Beta) is computed from the Standard Errors for the Betas that achieve the lowest SSR of the first 2 sets of starting values. A "Pass" is defined as at least 4 correct digits in Beta and SE(Beta), for the best Betas just described. TSP would also pass the same tests with at least 6 digits of both Beta and SE(Beta).