|“God does not care about our mathematical difficulties. He integrates empirically.”|
|— Albert Einstein|
Probability theory is nothing but common sense reduced to calculation
－－－ Pierre-Simon Laplace
This principle of nature being very remote from the conceptions of Philosophers, I forbore to describe it in that book, least I should be accounted an extravagant freak and so prejudice my Readers against all those things which were the main designe of the book.
－－－Isaac Newton, Opticks
If there is no clearly stated alternative, and the null hypothesis is rejected, we are left without any rule at all, whereas the null hypothesis, though not satisfactory, may at any rate show some sort of correspondence with the facts.
－－－ Harold Jeffreys, The theory of Probability
“It is very difficult to detect violations of the assumptions made about the population distribution unless the extent of violation is huge or the observed data have small standard errors.”
－－－ Sinharay & Stern (2003)