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From your comment history you appear to have some background in statistics, but what you're written here is curiously missing the fundamentals. It's not exactl
by evmar 11y ago
From your comment history you appear to have some background in statistics, but what you're written here is curiously missing the fundamentals. It's not exactly clear what you're arguing, but I am definitely curious because I must be missing it!
To answer your last question directly: nobody argues that there are zero differences between groups in an experiment, but rather that the central limit theorem applies, which is a statement about the distribution of means in particular circumstances. https://en.wikipedia.org/wiki/Central_limit_theorem https://en.wikipedia.org/wiki/Central_limit_theorem
- nonbel 11y ago>"nobody argues that there are zero differences between groups in an experiment" The null hypothesis (usually) assumes that the two groups are samples from the same distribution. Do you agree?
- evmar 11y agoYes. Isn't that fundamental to experimental design, that group membership is random? (You certainly know this as well, so I'm again confused about what your question is intended to provoke.)
- nonbel 11y agoAnd so what? Forget the math, say the two groups come from different distributions. Omniscient Jones told us so. What can we learn from that?