Y. Hayashi et R. Matsuda, DEDUCTIVE PREDICTION OF MEASUREMENT PRECISION FROM SIGNAL AND NOISE IN FLUOROMETRY, Analytical sciences, 11(6), 1995, pp. 929-934
The aim of this paper is to examine the precision of fluorometry on th
e basis of a recently proposed theory to predict the relative standard
deviation (RSD) of measurements from signal and noise in an analytica
l instrument. According to the theory, the instrumental baseline drift
which is often formulated as l/f noise can well be approximated by a
mixed random process of white noise and the Markov process. The standa
rd deviations (SD), (w) over tilde, of the white noise and the SD, (m)
over tilde, and auto-correlation parameter, rho, of the Markov proces
s can be parametrized from the power spectral density of the blank lin
e drift by the least squares curve fitting. All the parameters necessa
ry for the uncertainty prediction ((w) over tilde, (m) over tilde, rho
, signal domain, (k(c) + 1, k(f)) and signal area, A, over the domain)
, can be determined directly and uniquely from experiments and experim
ental design. No arbitrary constants are involved in the prediction th
eory. The uncertainty prediction is shown to be superb over a wide con
centration range of Rhodamin B in the fluorescence measurement. The in
fluence of the integration domain on the precision is considered.