Standard Deviation vs. Standard Error: What's the Difference?
Автор: Practical stats
Загружено: 2026-01-31
Просмотров: 38
Описание:
Stop confusing Standard Deviation (SD) with Standard Error (SE). While they sound similar, they serve completely different purposes in statistics and data science.
1. Standard Deviation (SD) = SPREAD SD measures the variability of individual data points.
High SD: Data is widely scattered.
Low SD: Data is clustered tightly around the average.
Use it to describe the natural diversity of a population (e.g., height, blood pressure).
2. Standard Error (SE) = PRECISION SE measures the accuracy of your estimate (usually the Mean).
It tells you how much the sample mean would fluctuate if you repeated the experiment.
Use it to report the reliability of your results or build Confidence Intervals.
The Key Formula: SE = SD / square root of n This proves that as your sample size (n) grows, your error drops and your precision increases—even if the population's spread remains the same.
📚 References:
Altman & Bland (BMJ) – "Standard deviations and standard errors"
Gujarati – "Basic Econometrics"
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