Measurement theory, not to be confused with (measure-theory), is the study of functions that preserve certain desirable properties. Its theoretical basis is popular in psychology, and it is related to statistical analysis of data, especially in deciding how data represents reality.

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Combining ±% with ±dB in measurement uncertainty

Firstly apologies if this is not the correct place to post this but wasn't sure which site would be good to ask regarding about measurement uncertainty calculation. I am trying to calculate the ...
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How do I state a reduction in cost?

I have developed an algorithm and am having a hard time stating its benefit versus a baseline. Suppose that the baseline cost of solving the problem is 1000 seconds. Now suppose that my algorithm ...
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Cantor-Lebesgue function and an increasing function are equal almost everywhere

Denote by $\varphi$ the cantor-lebesgue function and suppose $f$ is a certain increasing function defined on [0,1] and such that $f(x)=\varphi (x)$ for all $x\in[0,1]-C$ where $C$ is the cantor set. ...
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How can I tell whether my machine rounds or truncates?

I have an electronic weighing-machine, which I believe to be internally very accurate. It will weigh up to $100$ kg, but not activate below $10$ kg. The digital display reports to one decimal place. ...
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Minimize combined variance of multiple measurements with known (but varying) variance

I have multiple measurements for the same property but with different but known uncertainty (variance). And I would like to combine that measurements in a way that I get as close to the real value as ...
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Finite additivity, atomlessness and countable additivity

So, I'm trying to get my head around when you can have finitely but not countably additive probabilities. The standard example of a finitely additive but not countably additive space is the ...