In study of intra-individual variation of serum constituents, we used analysis of variance to separate biological from analytical variation, the latter being estimated from results for duplicate specimens. However, the replication error term in such a model may grossly overestimate instrumental variability, especially when a significant pre-instrumental error component is present. To separate p...

We present an analytical formulation to compute the total-backscatter range-dependent error bars from the well-known Klett's elastic-lidar inversion algorithm. A combined error-propagation and statistical formulation approach is used to assess inversion errors in response to the following error sources: observation noise (i.e., signal-to-noise ratio) in the reception channel, the user's uncerta...

A new, infinite series representation for the error function is developed. It is especially suitable for computing erfc(x) for large x. For instance, for any x 4, the error function can be evaluated with a relative error less than 10 10 by using only eight terms. Similarly, the error function can be evaluated with a relative error less than 8 10 7 for any x 2 using just six terms. An analytical...

The National Cholesterol Education Program (NCEP) performance specifications for methods that measure triglycerides, HDL-cholesterol, and LDL-cholesterol have been evaluated by deriving operating specifications from the NCEP analytical total error requirements and the clinical requirements for interpretation of the tests. We determined the maximum imprecision and inaccuracy that would be allowa...

In this paper a spline based integral approximation is utilized to propose sequence of approximations the error function that converge at significantly faster manner than default Taylor series. The can be improved by utilizing erf(x) approximately equal one for x>>1. Two generalizations are possible, first on demarcating integration interval into m equally spaced sub-intervals. second, it large...