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Glossary term
Standard Error
The typical sampling wobble of an estimate such as a mean.
Visual intuition
n=4
n=16
n=64
Bigger samples make the estimate wobble less
Sample means wobble less as the sample size grows, even when individual values still vary.
Formula
standard deviation / sqrt(n)
How It Works
Standard error describes uncertainty in an estimate. For independent observations, the standard error of a
mean
usually shrinks as the
sample size
grows.
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Concepts
Standard Error
Standard error is the typical sampling wobble of an estimate such as a mean. For independent observations, the standard error of a mean shrinks with the square root of the sample size, so cutting the error in half usually takes four times as much data.
Related Facts
Data Tricks
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Standard error vs standard deviation: spread vs precision
Standard deviation describes spread among individual values. Standard error describes uncertainty in an estimate such as the mean.
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