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2018•Unpublished venueRequires access

One‐Way Analysis of Variance ( ANOVA ) – Including Dunnett's and Tukey's Follow Up Tests

Adam Mackridge, Philip Rowe

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Abstract

This chapter shows the circumstances where a one-way analysis of variance (ANOVA) is used. It then presents some examples of studies where ANOVA would be appropriate. One should report the sample size, mean, and standard deviation for the measured outcome in each of the study groups. For data requirements, two variables are used. They are a categorical variable and a continuous measured variable. A significant result from the ANOVA tells the readers that at least one of the group means differs from one of the others to a statistically significant degree. Follow up tests are used to know exactly which condition/group differs from which other. The chapter considers the Dunnett's follow up test and Tukey's follow up test. The output from these tests will include confidence intervals for the size of the differences between the means for all pairs of groups considered.

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What this paper is about

This chapter shows the circumstances where a one-way analysis of variance (ANOVA) is used. It then presents some examples of studies where ANOVA would be appropriate. One should report the sample size, mean, and standard deviation for the measured outcome in each of the study groups. For data requirements, two variables are used. They are a categorical variable and a continuous measured variable. A significant result from the ANOVA tells the readers that at least one of the group means differs from one of the others to a statistically significant degree. Follow up tests are used to know exactly which condition/group differs from which other. The chapter considers the Dunnett's follow up test and Tukey's follow up test. The output from these tests will include confidence intervals for the size of the differences between the means for all pairs of groups considered.

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Available abstract

This chapter shows the circumstances where a one-way analysis of variance (ANOVA) is used. It then presents some examples of studies where ANOVA would be appropriate. One should report the sample size, mean, and standard deviation for the measured outcome in each of the study groups. For data requirements, two variables are used. They are a categorical variable and a continuous measured variable. A significant result from the ANOVA tells the readers that at least one of the group means differs from one of the others to a statistically significant degree. Follow up tests are used to know exactly which condition/group differs from which other. The chapter considers the Dunnett's follow up test and Tukey's follow up test. The output from these tests will include confidence intervals for the size of the differences between the means for all pairs of groups considered.

Key concepts: Analysis of variance, Tukey's range test, Statistics, Mathematics, Categorical variable, Mixed-design analysis of variance, Variance (accounting), One-way analysis of variance

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