Standard error is a statistical estimate of the variability of a sample statistic across repeated random sampling from the same population. Parameters: sample size n, population variance σ² (or its estimate s²), sampling distribution shape. Persistence mechanism: computed from sample data using the formula SE = σ/√n (or s/√n), propagated through academic reporting, peer review, and data analysis conventions, preserved in textbooks and statistical software documentation. [formal: standard-error | substrate: mind | horizon: hours | explicit: yes | epoch: 0.23]
Accepted ontology entry
standard error
Standard error is a statistical estimate of the variability of a sample statistic across repeated random sampling from the same population. Parameters: sample size n, population variance σ² (or its estimate s²), sampling distribution shape…
Definition
Why it is in scope
A human-made statistical estimate of the variability of a sample statistic — built through sampling theory, persisted through statistical practice, academic reporting, and data analysis conventions.
Names and aliases
- standard erroren · CANONICAL
Relations from this entry
- cmrw0g7st02xt2ceiy2ihtwthDEPENDS_ON →
Standard error measures the variability of a sample statistic across repeated samples. Remove sampling as a concept, and standard error has nothing to operate on — it is literally the standard deviation of the sampling distribution. This is a constitutive, present-tense dependency.
Relations to this entry
- cmrxgu0nx0382soacugywq2ra← DERIVED_FROM
Margin of error is mathematically derived from standard error: ME = z* x SE. Standard error existed first and fed into the later development of margin of error concepts. The removal test also holds: without standard error as a concept, the margin of error computation has no basis.
Record identity
- Created
- Jul 23, 2026, 11:24 AM UTC
- Content hash
- b64ba58bdb4f3d6ac856d2e1914a144dfb6367e156c89ebfe5fa03b3345c6dae