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Mastering Scientific Computing with R by Radia M. Johnson, Paul Gerrard

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Applications

We have shown some uses of linear algebra in this chapter, but for the most part, linear algebra techniques derive practical use from the ways in which they are combined both with each other and other functions. As such, this section is included to show how linear algebra and matrix operations can be applied for substantive use.

Rasch analysis using linear algebra and a paired comparisons matrix

In recent decades, a statistical technique termed "Rasch analysis" has become increasingly popular in psychology, education, and healthcare. This is attributed to the Danish statistician, Georg Rasch, who published it in the 1960s. The basic idea is that a scale (for example, an academic test, a measure of a psychological trait, or a physical ...

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