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This is possible in Word (and Excel).

You can link word tables to excel and, provided your analysis updates your spreadsheet, can refresh all data instantly.

You can also refer to values in tables in the body of the text.

I know this because I worked in an environment where Word was the only option!

The rules also provide a framework within which you can rule out some causal relationships. So they at least go some way to confirming which hypotheses can't be correct given the data.

This is true only for a small subset of Causal DAGs even within this 'Causal Calculus'. It can't account for circular causality or discontinuous relationships. That's not to diminish your suggestion, only to contextualise it.