Practice of Kinetics (Comprehensive Chemical Kinetics, Volume 1)

2 CONSISTENCY WITH EQNS. OF TYPE -d[A]/dt = k[A]”[BIb 385The procedure is exactly analogous to that outlined previously except that weweight each rate coefficient thusF is calculated from the expressionI=rIf the data pass the F-test, there can be little doubt of the correctness of theassumed rate expression. The best value of the rate coefficient calculated in thisway is E, viz.c W(kJ1= 1This estimate is negligibly different from that calculated using eqn. (72) where theweighting factors were l/s2(ki), provided that the number of points defining eachstraight line is fairly large. The standard error of E follows as before from the largerof the two mean squaresi=rms, = C ~ (k~)(k,-E)~/(r-~)1=1i=r 1=rThe second of these two equations is analogous to eqn. (63). Confidence limits forli can be calculated from s(E) and the value of the statistic t corresponding to thechosen confidence level and the number of degrees of freedom used in estimatingmsi or ms,.References p. 407