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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Experimental Design Models, J. Leroy Folks
Experimental Design Models, J. Leroy Folks
Journal of the Graduate Research Center
If we were to assume a linear relationship between x and y described by the model y = a + βx + e it is unlikely that we would consider writing the model as y = a + bx + cx + e. It is even more unlikely that we would apply the least squares principle by minimizing Σe2 with respect to a, b, and c. Yet a similar thing happens in experimental design. In fact, it is common practice to use less than full-rank models where the parameters are not defined and, in cases where they are defined, to …
A Property Of The Mean Stieltjes Integral, J. A. Dyer
A Property Of The Mean Stieltjes Integral, J. A. Dyer
Journal of the Graduate Research Center
The purpose of this note is to consider the following problem. Suppose [a,b] is an interval, f a function in [a,b] and g a function which has a derivative in [a,b].