The analysis of variance or “ANOVA” (one-way, type I)

Pierre Jolicoeur
Additional contact information
Pierre Jolicoeur: University of Montreal, Department of Biological Science

Chapter Chapter 12 in Introduction to Biometry, 1999, pp 71-81 from Springer

Abstract: Abstract If the means of several groups were compared pairwise using Student’s t (section 9.8), the number of comparisons would rapidly become larger than the number of groups (Figure 12.1.1). Besides breaking up and drawing out the analysis, this would also increase the probability of rejecting erroneously at least once the hypothesis that parametric means are equal. In fact, if ten statistical conclusions are drawn at significance level α, the probability α that the preliminary hypothesis is rejected at least once when it is true is multiplied by ten. If ten conclusions are drawn at level α= 0.05, there is thus a probability of 1/2 that the preliminary hypothesis is rejected erroneously at least once. Even though it is possible to compensate for such a risk (section 26.2), it is often desirable to carry out a single overall comparison of the means of several samples.

Keywords: Acceptance Region; Parametric Means; Rejection Region; Forewing Length; Preliminary Hypothesis (search for similar items in EconPapers)
Date: 1999
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-4777-8_13

Ordering information: This item can be ordered from
http://www.springer.com/9781461547778

DOI: 10.1007/978-1-4615-4777-8_13

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().