Bo. Solomon et al., ESTIMATION OF TRUE BIOMASS ENERGETIC YIELD AND MAINTENANCE COEFFICIENT WITH ERRORS IN THE VARIABLES, Journal of chemical technology and biotechnology, 61(3), 1994, pp. 261-267
Simple regression analysis is based on the least square of residual er
rors. To use this method, an independent variable which is observable
without error is assumed to exist. For most analyses, the assumption i
s normally made without realising the implications. The present study
demonstrates how parameters may be estimated with the assumption of er
ror in all measurements. Data sets involving batch/fed-batch cultivati
on of Candida utilis were analysed using a statistical approach with e
rror in variables for the estimation of true biomass energetic yield a
nd maintenance coefficient. This approach requires replicated measurem
ents. For linear systems, such as in chemical/biochemical processes, r
eplicated measurements are sometimes possible or there are physical/ph
ysiological reasons to group the observations into clusters. When clus
ters of replicated measurements are not available, the cluster analysi
s technique may be used to identify groups of near-replicated data poi
nts. The procedure yielded similar results to those obtained by the or
dinary least squares procedure for consistent data. However, for data
of poor quality (especially data with large errors in the independent
variable), the disparity between the two procedures was more significa
nt.