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When ANOVA Isn't Ideal: Analyzing Ordinal Data from Practical Work in Biology
Author(s) -
M.C. Calver,
Douglas Fletcher
Publication year - 2020
Publication title -
the american biology teacher
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.277
H-Index - 30
eISSN - 1938-4211
pISSN - 0002-7685
DOI - 10.1525/abt.2020.82.5.289
Subject(s) - nonparametric statistics , ordinal scale , statistics , ordinal data , rank (graph theory) , parametric statistics , analysis of variance , variance (accounting) , mathematics , statistical hypothesis testing , one way analysis of variance , interval (graph theory) , scale (ratio) , confidence interval , computer science , combinatorics , cartography , accounting , business , geography
Data collected in many biology laboratory classes are on ratio or interval scales where the size interval between adjacent units on the scale is constant, which is a critical requirement for analysis with parametric statistics such as t-tests or analysis of variance. In other cases, such as ratings of disease or behavior, data are collected on ordinal scales in which observations are placed in a sequence but the intervals between adjacent observations are not necessarily equal. These data can only be interpreted in terms of their order, not in terms of the differences between adjacent points. They are unsuitable for parametric statistical analyses and require a rank-based approach using nonparametric statistics. We describe an application of one such approach, the Kruskal-Wallis test, to biological data using online freeware suitable for classroom settings.

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