e-Articles (Chapter 13)
Here are the titles of some full-length research articles that illustrate the use of two-way ANOVAs. To view any article, simply click on its title. (NOTE: No claim is made that these articles are perfect in all respects. By carefully reviewing them, you will hone your skills at being able both to decipher and to critique statistically-based research reports.)
The 2x3 analysis of variance yielded 2 significant F-ratios. The nature of the significant interaction shows up clearly in a bargraph, and tests of simple main effects revealed which cell means were significantly different from each other. See the portion of the "Results" section up to the heading, "Analysis of participants' perception of influence."
The 2x2 ANOVA used in this study produced significant results for each main effect and the interaction. In a post hoc investigation, all cell means were compared in a pairwise fashion. See the article's sections called "Participants of the Study," "Data Analyses," and "Findings of the Study." Table 2 presents cell and main effect means, Table 3 shows the ANOVA summary table, and Table 4 contains the the results of the post hoc pairwise comparisons of cell means.
Illustrates the use of a 2x3 ANOVA with an unspecified post hoc test used to compare the main effect means of the factor having 3 levels. See the last 4 sentences of the "Data Analysis" portion of the article's "Method" section, the portion "Results" section called "Effect of one or two parents active or inactive," and Figure 1.
Illustrates the use of a 2x2 analysis of variance, with attention paid to the assumption of equal population variances. See the last sentence of the article's "Background" section, the 2nd and 3rd sentences in the final paragraph of the portion of "Methods" called "Statistical methods," and the portion of "Results" called "Association between infant gender, maternal depressive symptoms and sensitivity."
Copyright © 2012
Schuyler W. Huck