Conceptualizing systemically and in terms of conditional probabilities, rather than categorically, are perhaps the two keys to statistical thinking.
"What the heck does that mean?" you might wonder. A concrete example is medicine. Doctors are usually not biostatisticians but are trained to think statistically.
This is why they say things like: "If there are no serious complications and no side effects from the medication, and no deterioration in liver function, then the prognosis is good."
One way to define statistical thinking is a series of questions we can ask ourselves, such as:
Am I asking the right questions?
Are there rival explanations I haven't considered?
Am I confusing the possible with the plausible or the plausible with fact?
Are there unobserved variables or other confounders I haven’t accounted for?
Am I confusing cause with effect, or correlation with causation?
Am I drawing conclusions about fruit based only on apples?
Given A and B, if I do C and D, what are the likely outcomes?
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