Logo
Logo

Goldsmiths - University of London

Understanding the t-test as a variance ratio test, and why t-squared = F.

Allen, Rory. 2008. Understanding the t-test as a variance ratio test, and why t-squared = F.. Technical Report. Academia.edu, On line. [Report]

[img] Text
t-testsAsVarianceRatioTests.doc - Published Version

Download (62kB)
[img]
Preview
Text
t-testsAsVarianceRatioTests.pdf - Published Version

Download (100kB) | Preview

Abstract or Description

This unpublished report provides a rationale for regarding the t-test statistically as a variance ratio test, on the same basis as Fisher's F-test used in the analysis of variance. It is argued that regarding the t-test in this way both provides a heuristically convincing reason why in the special case of two groups the F statistic reduces to the square of the t statistic, and also gives a unified approach to the modifications of the formula for t in the cases where the variance in the groups has to be calculated separately for the two groups (the Behrens-Fisher problem).

Item Type: Report (Technical Report)

Keywords:

statistics

Departments, Centres and Research Units:

Psychology

Date:

2008

Item ID:

7544

Date Deposited:

14 Dec 2012 11:49

Last Modified:

30 Jun 2017 12:51

URI: http://research.gold.ac.uk/id/eprint/7544

View statistics for this item...

Edit Record Edit Record (login required)