The Probable Error of a Mean

Student. (1908). The Probable Error of a Mean. Biometrika, 6(1), 1-25.

Type

Journal article

Intellectual base

Primary research

Year

1908

Volume

6

Issue

1

Pages

1-25

DOI

10.2307/2331554

DOI registrant

JSTOR

Link

https://doi.org/10.2307/2331554

Cited from

statistics_experimental_design

Cited by

5 citations across 5 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Hypothesis Testing (Null vs. Alternative)
  • What are the assumptions, and what evidence supports them

    This sourceGosset t-distribution foundational for small-sample error-rate control in hypothesis testing.

• Statistical Power

  • This sourceGosset t-distribution foundational for small-sample error-rate control in hypothesis testing.

• Statistical Significance (p-Value)

  • This sourceGosset t-distribution foundational for small-sample error-rate control in hypothesis testing.

• Type I & Type II Errors

  • This sourceGosset t-distribution foundational for small-sample error-rate control in hypothesis testing.

Domain-specific

• Student's t-Test
  • Estimating the standard error introduces extra uncertainty relative to a known-variance normal test; the t distribution's heavier tails account for it under the model.

Verification

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Not recorded. Neither this nor any other of the 5 citations of this work carries a recorded support check.

Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.

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Links previously used in the corpus

Before the registry existed this work was also linked 1 other way.

• https://ocw.mit.edu/courses/esd-86-models-data-and-inference-for-socio-technical-systems-spring-2007/resources/gosset_1908/ ×1

Registry ID ref:0f9e21a9ccb8 · see in the full table