Stage 4 does give you more control, because you do take beliefs and emotions as object, rather than subject. However, your self (subject) is structured by principles you take over from your culture; you can’t construct those from scratch.
I think the opposite it true: the replication crisis is the result of people believing that they can wing it somehow, without understanding the mathematical foundations of their statistical tools.
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Working scientists mostly don’t understand the math. But that’s less of a problem than not understanding how the math relates to reality, imo.
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This article is not ideal, but it lists many common misconceptions about how (frequentist) stats relate to reality. These aren’t math misunderstandings, they are real-world interpretation misunderstandings. https://link.springer.com/article/10.1007/s10654-016-0149-3 …
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