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One-Way Between-Subjects ANOVA

One-way ANOVA is also known as single-factor between-subjects ANOVA, completely randomized single-factor ANOVA. The computed test statistic evaluates if there is a significant difference between at least two of the group means in a set of k means.

One-Way Between-Subjects ANOVA Output

Multiple Comparisons/Post-Hoc Tests

Supported Worksheet Layout

One-Way Between-Subjects ANOVA Output

The default output includes the one-way ANOVA table. The additional output depends on selected options, and can include the mean table, a diamond mean comparison plot, the test results for homogeneity of variance, and table reports for selected multiple comparisons/post-hoc tests.

The Default Output: ANOVA Table

This table displays:

The source of variability (the between-groups variability and the within-groups, i.e., error or residual variability)
The sum of the squared deviations from the mean (Sum of Squares); the degrees of freedom (df); the Mean Square for each of the variability components
The test statistic (F) and the p value

Testing for Homogeneity of Variance

Testing if variances across groups/samples are equal. For evaluating the homogeneity of variance assumption, Aabel provides:

Hartley's Fmax test
Bartlett's chi-square test

Diamond Mean Comparison Plot

In this plot, the horizontal dashed line is the overall mean (i.e., grand mean). The line through the center of each diamond is the group mean. The top and bottom diamond vertices are the respective upper and lower 95% confidence limits (CI) about the group mean.

The right-hand side image shows the diamond mean comparison plot corresponding to the ANOVA table above.

Multiple Comparisons/Post-Hoc Tests

Simple comparisons (also know as pair-wise comparisons) accompanying one-way between-subjects ANOVA include:

Tukey's HSD test (see the example above)
Tukey B test on ordered means
Fisher's LSD test
Dunnett test
The Newman-Keuls (Neuman-Keuls) test on ordered means
Tukey Kramer test
Scheffé test
Bonferroni-Dunn test

The example below is the Tukey's HSD test result for the one-way between-subjects ANOVA example illustrated above. For more information regarding multiple comparisons, click here.

Supported Worksheet Layout

For this ANOVA design, Aabel supports two different worksheet layouts.

The layout I allows storing the design experimental scores (response data) from all of the k >= 3 samples/groups in a single numeric column, and uses the levels of the design single factor (A) to split the data accordingly.
The layout II requires storing the design experimental scores (response data) from each sample/group in a separate numeric column, i.e., each column represents one of the levels of the design (between-subjects) single factor.