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

DOI

10.2307/2331554

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

This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.

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