Explain why critics argue that the conventional practice of rejecting the null hypothesis when is mathematically arbitrary. In your response, explain how this rigid threshold can lead to nearly identical findings—such as one study with and another with —being treated as fundamentally different.
Question: Explain why critics argue that the conventional practice of rejecting the null hypothesis when is mathematically arbitrary. In your response, explain how this rigid threshold can lead to nearly identical findings—such as one study with and another with —being treated as fundamentally different.
Sample answer: Critics argue that the threshold is mathematically arbitrary because it imposes a strict binary division on a continuous range of probability. When researchers rigidly apply this threshold, they treat nearly identical findings (such as a study with and another with ) as fundamentally different. Specifically, the study with is deemed statistically significant and worthy of publication, whereas the study with is dismissed as non-significant and left unpublished. In reality, both studies have produced essentially the same result, making the distinction arbitrary and counterproductive to scientific progress.
Key points:
- The conventional practice uses as a rigid threshold for rejecting the null hypothesis.
- Critics argue this threshold is mathematically arbitrary and creates an artificial dividing line.
- Applying this threshold causes nearly identical findings, such as and , to be treated as fundamentally different.
- Only the study below the threshold () is typically considered worthy of publication, despite both studies producing essentially the same result.
Rubric: To receive full credit, the response must: 1) Identify the conventional threshold as . 2) Explain that this threshold creates a mathematically arbitrary, rigid dividing line. 3) Detail how it forces a binary interpretation of nearly identical findings (e.g., vs. ). 4) Discuss the publication bias consequences (only the former is deemed worthy of publication).
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The File Drawer Problem in Null Hypothesis Testing
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