10.7: Structured Summary for the One-Way ANOVA

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After carefully reading the chapter, complete the following structured summary to add a learning check and easy-to-use reference to your notes.

Summarize what each symbol stands for, assuming three groups are being compared.

\(n_1\) =

\(n_2\) =

\(n_3\) =

\(N\) =

\(\bar{X_1}\) =

\(\bar{X_2}\) =

\(\bar{X_3}\) =

\(\bar{X}_{\text {grand }}\) =

\(s_1\) =

\(s_2\) =

\(s_3\) =

\(SS_{w 1}\) =

\(SS_{w 2}\) =

\(SS_{w 3}\) =

\(SS_{w}\) =

\(SS_{b 1}\) =

\(SS_{b 2}\) =

\(SS_{b 3}\) =

\(SS_{b}\) =

\(df_w\) =

\(df_b\) =

\(MSS_{w}\) =

\(MSS_{b}\) =

Fill-in the appropriate information for each section below:

One-way ANOVA Basics
1. For which kinds of data can/should this be used?
2. What is the focus of this statistic?
3. What assumptions must the data meet to use this test?
One-way ANOVA Formula
1. What is the formula for a one-way ANOVA?
2. What things should be computed in the preparatory steps for using this formula?
3. What are the steps for solving using this formula?
Reporting Results from a one-way ANOVA
1. How is this statistic reported when using APA format?
  1. What things must be reported in the APA summary sentence for the omnibus test?
  2. What two specific statistics must be reported for each of the independent groups (which may appear as part of the post-hoc results sentences)?
  3. How is effect size computed and reported for a one-way ANOVA?
  4. How are post-hoc comparisons computed and reported for a one-way ANOVA?

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