People like to have solid explanations or at least excuses, and crackpots go further in this need than others.

As usual, if you have better method than experiment, measurement and observation, describe it in detail. Science is not just numbers and words are quantifiable too, if not accurately. The condition is that the results have to be attempting objectivity.

If you have a beef with using statistics for particular cases, say so and propose a better approach. (Many people feel they're special or above average. Wobegon effect also known as illusory superiority or inferiority.)