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. 2014 Feb;35(1):37–61.

Table 9.

cFT Monte Carlo simulation (Excel spreadsheet representation).

A B C D E F G H

1 Input quantities Formula Output

2 T nmol/L SHBG (S) nmol/L 24.00314 0.04599 cFT pmol/L
3 Value 12.2 36.6 24.00314 0.04599 cFT = 24.00314 * T/log(S) − 0.04599 *T^2 180.5
4 Uncertainty 0.61 1.83 0.2400314 0.0004599
5
6 Trial results
7 Trial # cFT
8 1 12.259 37.645 24.159836 0.045892 cFT = 24.00314 * T/log(S) − 0.04599 *T^2 181.07
9 2 13.001 35.048 23.765519 0.046060 192.24
10 3 12.209 34.061 23.982057 0.045990 184.24
11 4 11.421 35.472 23.935677 0.045469 170.45
12 5 11.938 37.221 23.981260 0.045930 175.72
13 6 12.261 37.897 23.979929 0.046228 179.30
14 7 12.068 34.934 23.905895 0.046410 180.18
15 8 12.577 38.482 23.873808 0.046113 182.12
16 9 12.878 36.382 24.227331 0.045721 192.31
17 10 12.249 36.656 23.514162 0.045899 177.26
10007 10000 11.896 34.608 24.165267 0.046522 cFT = 24.00314 * T/log(S) − 0.04599 *T^2 180.18
Spreadsheet representation showing 10,000 simulations of calculated free testosterone (cFT) in column H, for quantity values and uncertainty estimates as described in Table 8. The cFT simulations in column H are derived from the input variables in columns B, C, D and E, rows 8 to 10007:
  • Column B rows 8 to 10007; (NORMINV(RAND(),$B$3,$B$4)),
  • Column C rows 8 to 10007; (NORMINV(RAND(),$C$3,$C$4)),
  • Column D rows 8 to 10007; (NORMINV(RAND(),$D$3,$D$4)),
  • Column E rows 8 to 10007; (NORMINV(RAND(),$E$3,$E$4)).
The arrows (↓ and →) play no part in the calculations; they have been added to the table for illustrative purposes only.