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Anaes VivasMeasurement & monitoring physics

Anaes Vivas · Measurement & monitoring physics

Data viva — hypothesis testing, alpha, beta and power

A data viva on the two-distribution diagram of hypothesis testing — the alpha (Type I, false positive, conventionally 0.05), the beta (Type II, false negative, conventionally 0.20), power (1 minus beta, conventionally 0.80), the critical value as the decision threshold, and how moving the threshold or changing the sample size shifts the trade-off. Applied to the emergence-hypertension risk-factor study, the neurological-deterioration risk-prediction study, and the evidence-hierarchies reflection.

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Prompt
A figure of two overlapping bell curves — the null distribution (no difference) on the left and the alternative distribution (a real treatment effect) on the right — with the alpha Type I error region shaded in the right tail of the null, the beta Type II error region shaded in the left tail of the alternative, a vertical critical-value line, and the unshaded body of the alternative curve labelled as power. Interpret the figure.

Stimulus

The figure shows two overlapping bell curves. The left curve is the null distribution — the sampling distribution of the result if there were truly no difference between groups. The right curve is the alternative distribution — the sampling distribution if a real treatment effect of a given size exists. A vertical line marks the critical value, the decision threshold. Several regions are shaded. Interpret the figure, naming each shaded region and explaining what it represents.

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References5ShowHide
  1. [2]Jiao SS, et al. Risk factors for unanticipated hypertension during emergence from general anesthesia in elderly surgical patients: A retrospective cohort analysis. Medicine, 2026.PMID 42363520
  2. [5]Chen Y, et al. Risk prediction models for early neurological deterioration after intravenous thrombolysis in acute ischemic stroke patients: a systematic review and meta-analysis. BMC Neurol, 2026.PMID 42363152
  3. [8]Tarrant A, et al. What counts as knowing? Reflections on evidence hierarchies in qualitative longitudinal and participatory research with young fathers. Evid Policy, 2026.PMID 42362383
  4. [9]Whitley E, Ball J. Statistics review 3: hypothesis testing and P values. Crit Care, 2002.PMID 12133182
  5. [42363521]Bersten AD, Soni N (eds) Oh's Intensive Care Manual. 8th edition, Elsevier, 2018.
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