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Second Stage Short Run (X,vc) and (X,sc) Control Charts
(Foundation for Open Access Statistics, 2004-03-23) Elam, Matthew E.; Case, Kenneth E.; Kim, Jong-Min
In their 1970 paper titled "Mean and Variance Control Chart Limits Based on a Small Number of Subgroups" (Journal of Quality Technology, Volume 2, Number 1, pp. 9-16), Yang and Hillier originally derived equations for calculating the factors required to determine second stage short run control limits for ) v,Xc( and )s ,X(c charts. Two issues have restricted the applicability of this particular control chart methodology. These are the limited tabulated values of factors Yang and Hillier present and no example to illustrate the use of the methodology. This paper addresses the first issue by presenting a computer program that accurately calculates the factors regardless of the values of the required inputs. An example shows how to incorporate the methodology into a two stage short run control charting procedure. The computer program is available at http://program.20m.com.
Directing Sampling Based on Uncertainty Analysis
(Computational Hydraulics Inc., 2003-02-15) Graettinger, Andrew; Supriyasilp, Thanaporn; Durrans, S. Rocky; Pitt, Robert E.
Determining where and what to sample for environmental modeling of receiving waters is becoming increasingly important because the need for improved accuracy in model results conflicts with limited site sampling budgets. A quantitative approach to sampling, entitled Quantitatively Directed Exploration (QDE), provides a mathematical framework for determining the best location to sample, and what parameter should be sampled. QDE employs a first-order Taylor series expansion to estimate the uncertainty or variance in the model results. Uncertainty in input parameters is determined through data extrapolation techniques, specifically multivariate conditional probability, while model sensitivity is calculated by directly coding sensitivity derivatives into a model using ADIFOR 2.0.
Combining these two matrices produces the variance in model results, which in turn is employed to direct sampling. The next sampling location is defined as the point where the variance in model results is the largest. Which input parameter to sample is determined by evaluating the contribution to the total variance produced by each input parameter. The QDE approach is demonstrated on a water quality model where non-point source loading, stream characteristics, and contaminant behavior are uncertain input parameters and concentration is the uncertain model result.
Strengthening Your Proposal: A Strategic Approach to Library One-Time Purchases
(2026-03-03) Daugherty, Alice L.; Wilburn, Emily J.
One-time purchases represent significant investment decisions for libraries. This presentation examines strategic approaches to evaluating these acquisitions, considering factors such as total implementation costs, alignment with institutional mission and curricular needs, vendor stability, and long-term value. Attendees will learn methods for prioritizing library needs and building proposals that clearly demonstrate the purpose behind purchase recommendations to stakeholders and administration.
R-parity violating decays of the gluino
(Elsevier, 2003-10-29) Clavelli, L.; Stremnitzer, H.
Assuming the lightest supersymmetric particle is the gluino, we treat the decays g̃→qq̄ν and g̃→gν. Such couplings can be induced by the R-parity violating quark–squark–lepton interaction which can also be responsible for neutrino masses and mixings. These R-parity violating gluino decays have the same final state structure (jets plus missing energy) as previously considered decays into quark–antiquark–photino and gluon–gravitino but with significantly different gluino lifetimes.