Experimental statistics

The equation for the test (experimental) statistic, fexp, is derived from the confidence interval for p,... 

The linkage of microscopic and macroscopic properties is not without challenges, both theoretical and experimental. Statistical mechanics and thermodynamics provide the connection between molecular properties and the behavior of macroscopic matter. Coupled with statistical mechanics, computer simulation of the structure, properties, and dynamics of mesoscale models is now feasible and can handle the increase in length and time scales. 

Natrella MG Experimental Statistics, 2nd. edn., National Bureau of Standards Handbook, Washington DC, 1966. 

Natrella, M.G., "Experimental Statistics," National Bureau of Standards Handbook 91, U.S. Government Printing Office Washington, August 1963, pp. 2-13. 

Wheeler, D.J. (1987), Understanding Industrial Experimentation, Statistical Process Controls, Knoxville, TN. 

V.K. Bobolev L-.G. Bolkhovitinov, IzvAkad Nauk, SSSR No 4, 754 (1960) 5) M.G. Natrella Experimental Statistics, NBS Handbk 91, (1963), pp 10-22 to 10-24 6) Andreev Belyaev, article by N.A. Kholevo, (1963), pp 5-26 7) Ibid, pp 47-151 8) Proc Internat Conf on Sensitivity Hazards of Explosives (London) (1963), Session 6 Note These proceedings have no page numbers, only Session numbers 9) J.E. Ablard, Ibid, Discussion of Session 6, p 1 10)... 

Alkane Methylene aource Conditions Product ratios Experimental Statistical Ref. 

Although the computed and experimentally estimated [84] (extrapolated to zero frequency) hyperpolarizability for Ne are in perfect agreement, the results for Ar do not agree within their respective uncertainties. Actually, this is due to an experimental uncertainty estimate that is almost certainly too optimistic. The uncertainty quoted for the experimental value is derived from the experimental statistics, that is, it is a measure of random error in the measurement. It contains essentially no contribution from any possible source of systematic error. In fact, Shelton believes that a more realistic uncertainty would be 20 or perhaps 30 [85]. If that were the case there would be no disagreement between theory and experiment. This is an excellent illustration of the dangers of relying on a given experimental estimate or uncertainty. It is always necessary to ascertain exactly what the experimentalist means by his/her error bars. 

Natrella, M.G. (1963). Experimental Statistics (Nat. Bur. of Stand. Handbook 91). US Govt. Printing Office, Washington, DC. 

Randomization may be thought of as insurance, and, like insurance, may sometimes be too expensive . [Natrella, M.G. (1963). Experimental Statistics (Nat. Bur. of Stand. Handbook 91), p. 11-4. US Govt. Printing Office, Washington, DC.] Comment. Give a set of circumstances in which it might be too expensive to randomize. 

Natrella MG (1966) Experimental Statistics. US Government Printing Office, Washington D.C. 

A scientist should not proclaim a discovery to the public unless the experimental, statistical, or theoretical support for it is of strength sufficient to warrant publication in the scientific literature. An account of the experimental work and results that support a public pronouncement should be submitted as quickly as possible for publication in a scientific journal. Scientists should, however, be aware that disclosure of research results in the public press or in an electronic database or bulletin board might be considered by a journal editor as equivalent to a preliminary communication in the scientific literature. 

Li, C.C. Introduction to Experimental Statistics, McGraw-Hill Co. New York, 1964. 

Validating LES, comparing the model predictions with experimental results, is also crucial. One must then ensure that the filtered experimental statistics are compared with the corresponding statistics of the filtered field. 

M. G. Natrella. Experimental Statistics, National Bureau of Standards Handbook 91, Washington, D.C., 1963. 

The experimental statistical weight can be made proportional to l/(a2 + a9o) with suitably chosen a. 

Second, a consideration of the vibrational and rotational dependence of the data calls for a corresponding adjustment of the weight For the higher excited vibrational/rotational states it is found that the experimental accuracy is best matched if the experimental statistical weight is scaled down by an appropriate factor like MJiJ + l)]1/2. The actual computations of the force constants are generally made by the method of least squares, and in order to yield correct confidence intervals for the resulting constants, the statistical weights w, of the data should be... 

The coincidence between the nnmerical simnlation valne (Monte-Carlo method) of the standard deviation and the experimental standard deviation using normal or the known experimental statistical distribution. 

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