While I do not object to anything they said in the editorial, my concern is that there is very little penalty for carelessness in scientific research. P-values are actually the least of my concerns; of greater concern are errors or even sub-optimal practices in the design, execution, and reporting of research. Statistical inference is of no value if these other issues are present, and even when not present, statistical inference remains of incredibly limited value compared to a descriptive presentation of the data. There are several reasons for this, such as:
- Statistical inference presumes some kind of generalization, usually to a larger, stable population of which the data in the study can be thought of as representative. This is rarely justified.
- The statistical analysis adds information to the data in the form of an assumed probability model. This model's assumptions may well influence the outcome more than the data does.
- Statistical inference is an inherently confirmatory activity, while most research is exploratory. Statistical models in this context are overfitted to the data, and the generalization implied by statistical inference is invalid.
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