Statistics
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Boundless Statistics
Estimation and Hypothesis Testing
Statistics Textbooks Boundless Statistics Estimation and Hypothesis Testing
Statistics Textbooks Boundless Statistics
Statistics Textbooks
Statistics

Section 8

One-Way ANOVA

Book Version 1
By Boundless
Boundless Statistics
Statistics
by Boundless
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7 concepts
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The F-Test

An F-test is any statistical test in which the test statistic has an F-distribution under the null hypothesis.

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The One-Way F-Test

The $F$-test as a one-way analysis of variance assesses whether the expected values of a quantitative variable within groups differ from each other.

Variance Estimates

The $F$-test can be used to test the hypothesis that the variances of two populations are equal.

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Mean Squares and the F-Ratio

Most $F$-tests arise by considering a decomposition of the variability in a collection of data in terms of sums of squares.

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ANOVA

ANOVA is a statistical tool used in several ways to develop and confirm an explanation for the observed data.

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ANOVA Design

Many statisticians base ANOVA on the design of the experiment, especially on the protocol that specifies the random assignment of treatments to subjects.

ANOVA Assumptions

The results of a one-way ANOVA can be considered reliable as long as certain assumptions are met.

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