Physics – Data Analysis – Statistics and Probability
Scientific paper
2007-12-07
Physics
Data Analysis, Statistics and Probability
39 pages (Edited version [no. 3] With clarifying appendix no. 1 on notations): however, wrong file got uploaded yesterday
Scientific paper
Any physiochemical variable (Ym) is always determined from certain measured variables {Xi}. The uncertainties {ui} of measuring {Xi} are generally a priori ensured as acceptable. However, there is no general method for assessing uncertainty (em) in the desired Ym, i.e. irrespective of whatever might be its system-specific-relationship (SSR) with {Xi}, and/ or be the causes of {ui}. We here therefore study the behaviors of different typical SSRs. The study shows that any SSR is characterized by a set of parameters, which govern em. That is, em is shown to represent a net SSR-driven (purely systematic) change in ui(s); and it cannot vary for whether ui(s) be caused by either or both statistical and systematic reasons. We thus present the general relationship of em with ui(s), and discuss how it can be used to predict a priori the requirements for an evaluated Ym to be representative, and hence to set the guidelines for designing experiments and also really appropriate evaluation models. Say: Y_m= f_m ({X_i}_(i=1)^N), then, although: e_m= g_m ({u_i}_(i=1)^N), "N" is not a key factor in governing em. However, simply for varying "fm", the em is demonstrated to be either equaling a ui, or >ui, or even
No associations
LandOfFree
The Theory of Uncertainty for Derived Results: Properties of Equations Representing Physicochemical Evaluation Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Theory of Uncertainty for Derived Results: Properties of Equations Representing Physicochemical Evaluation Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Theory of Uncertainty for Derived Results: Properties of Equations Representing Physicochemical Evaluation Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-121187