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According to this, the probability of taking a result χ2, more extreme than the observed value is given by the p-value that equals the minimum between P 0 ≤ χ 2 ≤ χ est 2 and P χ est 2 ≤ χ 2 < ∞, i.e., p - value = min Γ 1 2 M ; 1 2 χ est 2 Γ 1 2 M, 1 - Γ 1 2 M ; 1 2 χ est 2 Γ 1 2 M, (20).
That value can be obtained either interactively, such as when using an intuitive slider [ 16], or by taking a result of an experiential equation or even plugging in a constant preset number [ 19, 20].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com