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In this entry we seek to put into perspective some of the ways in which statistical methods contribute to modern engineering practice. Engineers design and oversee the production, operation, and maintenance of the products and systems that under-gird modern technological society. Their work is...
Persistent link: https://www.econbiz.de/10010511731
In this note we examine the relevance of Sheppard s correction for variances and (both the original and a valid weak form of) the so-called quantization noise model to understanding the effects of integer-rounding on continuous random variables. We further consider whether there is any real...
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There is a little-known but very simple generalization of the standard result that for uncorrelated variables with a common mean and variance, the expected sample variance is the marginal variance. The generalization justifies the use of the usual standard error of the sample mean in possibly...
Persistent link: https://www.econbiz.de/10009295179
Most standard statistical methods treat numerical data as if they were real (infinitenumber- of-decimal-places) observations. The issue of quantization or digital resolution is recognized by engineers and metrologists, but is largely ignored by statisticians and can render standard statistical...
Persistent link: https://www.econbiz.de/10009295181
We consider a misconception common among students of statistics involving "adjusted" and "unadjusted" sums-of-squares. While the presence of misconception has been noted before (e.g. Hamilton (1986)), we argue that it may be related to the language we use in describing the meaning of...
Persistent link: https://www.econbiz.de/10009295200
In this note we examine the relevance of Sheppards correction for variances and (both the original and a valid weak form of) the so-called quantization noise model to understanding the effects of integer-rounding on continuous random variables. We further consider whether there is any real...
Persistent link: https://www.econbiz.de/10009295202