| no subj | dose(mouse) | dose(human) | no. wi tumor | prop | pi | log likelihood |
| 50 | 0 | 0.001 | 0 | 0 | 8.5E-09 | -4.25E-07 |
| 50 | 25 | 3.5714 | 4 | 0.08 | 0.0912333 | -13.978017 |
| 50 | 50 | 7.1429 | 20 | 0.4 | 0.3179554 | -34.39669 |
| 50 | 100 | 14.286 | 37 | 0.74 | 0.7836 | -28.920841 |
| Sum | -77.295548 | |||||
| q1= | 0.000001 | q2 = | 0.0075 | |||
| TWO STAGE MODEL | ||||||
| Formulas | ||||||
| dose(human) = dose(mouse)/7 | ||||||
| Fi= pi=1-Exp(-q1*dose-q2*dose^2) = 1-Exp(-$B$7*Ci-$D$7*Ci^2) | ||||||
| log likelihood = Di*LN(Fi)+(50-Di)*LN(1-Fi) | ||||||
| G6 = Sum(G3:G5) | ||||||
| Seed q1 = .001 q2 = .01 | ||||||
| Try to use Solver to maximize G6 by changing B7 and D7 | ||||||
| No luck, even using various seeds. | ||||||
| Try various possibilities, to estimate q1 = 0.000001,q2 = 0.0075 |