> Paper: How to Do Statistical Evaluations in ECE/CS Papers: A Practical Playbook for Defensible Results > Author: Bhaskar Krishnamachari > arXiv: 2605.00428 | 2026-04-29
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1. The Trap of Impressive but Untrustworthy Numbers
Imagine you're reviewing a paper that claims: "Our method improves over SOTA by 5%!"
But you notice:
- The experiment was run only once
- No confidence intervals
- No statistical significance testing
- Tested on only one dataset
- Claim = the charge
- Hypothesis = the fact to be proven
- Experiments = evidence collection
- Statistical tests = evidence evaluation
- Only the complete chain convicts (i.e., persuades readers)
- For beginners: avoid common statistical errors, build sound experimental habits, write credible papers
- For reviewers: identify suspicious statistical claims, ask the right questions, improve review quality
- For the field: raise overall research quality, reduce irreproducible results, build a trustworthy scientific foundation
Is this number credible? Probably not.
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2. Why Statistical Evaluation Matters
The tutorial argues:
> "Strong experimental papers do not rest on a single impressive number. They rest on a complete chain of design, measurement, analysis, and verification—together these choices make results credible."
Common mistakes:
1. Missing hypotheses — results are given without stating what is being tested 2. Unclear units — "5% improvement": absolute or relative? Units shape interpretation 3. Ignoring variability — reporting only means, no variance or confidence intervals; single runs may fluctuate randomly 4. Data snooping (p-hacking) — trying many parameter settings and reporting only the best; selective reporting misleads readers
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3. An Evaluation Workflow for Defensible Results
1. State a Claim — clear and verifiable ("our method is faster than A", "more accurate than B") 2. Form a Hypothesis — H0: method = baseline; H1: method > baseline, verified by a statistical test 3. Determine the Unit of Analysis — per sample, per user, per run? This affects the choice of test 4. Design the Experiment — control variables, randomization, blinding where applicable 5. Measure and Report — mean + std/CI, effect size, statistical significance (p-values), and practical significance 6. Validate — cross-dataset validation, ablation studies, sensitivity analysis
It's like a courtroom trial:
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4. Why This Paper Matters
5. A Feynman-Style Judgment: Honesty Is the Best Strategy
Feynman said:
> "The first principle is that you must not fool yourself—and you are the easiest person to fool."
In experimental evaluation:
> "Statistical evaluation is not about 'proving' you are right, but about honestly testing whether you might be wrong. Good scientists look for evidence that falsifies their own claims, not only data that supports them."
This reflects the core of the scientific method: falsifiability, transparency, and reproducibility.
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6. Takeaways
If you're writing a paper or running experiments, ask yourself:
1. "Are my hypotheses explicit?" 2. "Did I report variability (variance / confidence intervals)?" 3. "Were my results tested for statistical significance?" 4. "Did I avoid data snooping and selective reporting?"
The core lesson: good research is not just about "getting good results" but about "presenting results honestly."
In science, the most impressive number is meaningless if it cannot withstand scrutiny. Statistical evaluation is not bureaucracy—it is the bedrock of scientific integrity.
In an ocean of data, statistics is a compass—not to take you anywhere you want to go, but to make sure you honestly report where you are.