The value for which P=0.05, or 1 in 20, is 1.96 or nearly…
““The value for which P=0.05, or 1 in 20, is 1.96 or nearly 2; it is convenient to take this point as a limit in judging whether a deviation ought to be considered significant or not. Deviations exceeding twice the standard deviation are thus formally regarded as significant. Using this criterion we should be led to follow up a false indication only once in 22 trials, even if the statistics were the only guide available. Small effects will still escape notice if the data are insufficiently numerous to bring them out, but no lowering of the standard of significance would meet this difficulty.””
About This Quote
This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation.
Explains the conventional p‑value threshold and its practical limits, urging caution with small sample sizes.
In simple terms: Statistical significance rules and their limits.
Apply significance thresholds wisely.
Themes
Mood
Type
When to use this quote
- clinical trials
- psychological studies
- policy analysis
Key Concepts
Questions to Reflect On
- How can you complement p‑values?
- When is a larger sample essential?
Over‑reliance on p‑values can mislead.