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On the Propagation of Statistical Errors for a Function of Several Variables
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Abstract
A simple general relationship is presented for the evaluation of the error in a function of several variables and its application to a range of chemical problems is illustrated.
Keywords (Audience):
Second-Year UndergraduateKeywords (Domain):
Analytical ChemistryKeywords (Subject):
ChemometricsCiting Articles
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This article has been cited by 5 ACS Journal articles (5 most recent appear below).
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George H. Gardenier, Feng Gui, and James N. DemasJournal of Chemical Education2011 Article ASAPComplex error propagation is reduced to formula and data entry into a Mathcad worksheet or an Excel spreadsheet. The Mathcad routine uses both symbolic calculus analysis and Monte Carlo methods to propagate errors in a formula of up to four variables. ...
Transition-Metal Nanocluster Size vs Formation Time and the Catalytically Effective Nucleus Number: A Mechanism-Based Treatment
Murielle A. Watzky, Eric E. Finney and Richard G. FinkeJournal of the American Chemical Society2008 130 (36), 11959-11969Transition-Metal Nanocluster Size vs Formation Time and the Catalytically Effective Nucleus Number: A Mechanism-Based Treatment
Murielle A. Watzky, Eric E. Finney and Richard G. FinkeJournal of the American Chemical Society2008 130 (36), 11959-11969A mechanism-based equation for the size of a forming transition-metal nanocluster vs time has been derived based on the Finke−Watzky two-step mechanism for transition-metal nanocluster nucleation (A → B, rate constant k1) and autocatalytic growth (A + B → ...
Undergraduate Science and Engineering Students' Understanding of the Reliability of Chemical Data
Bette Davidowitz , Fred Lubben , Marissa RollnickJournal of Chemical Education2001 78 (2), 247Undergraduate Science and Engineering Students' Understanding of the Reliability of Chemical Data
Bette Davidowitz , Fred Lubben , Marissa RollnickJournal of Chemical Education2001 78 (2), 247This study investigates the status of procedural knowledge of sophomore science and chemical engineering students in South Africa. Procedural knowledge includes collection, manipulation, and interpretation of experimental data. A piloted questionnaire was ...
Spreadsheet Calculation of the Propagation of Experimental Imprecision
Robert de LevieJournal of Chemical Education2000 77 (4), 534Spreadsheet Calculation of the Propagation of Experimental Imprecision
Robert de LevieJournal of Chemical Education2000 77 (4), 534A spreadsheet is used to compute the propagation of imprecision, and a macro is described that will do this automatically.
A Note on Covariance in Propagation of Uncertainty
Edwin F. MeyerJournal of Chemical Education1997 74 (11), 1339A Note on Covariance in Propagation of Uncertainty
Edwin F. MeyerJournal of Chemical Education1997 74 (11), 1339It is pointed out that whenever both the slope and the intercept are used in calculating a physical quantity from a linear regression, propagation of error must include the covariance as well as the variances. The point is illustrated with a calculation ...
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- Received: August 03, 2009
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