OUTLINE FOR CHAPTER
11
Tests on Three or More Means
Using a One-Way ANOVA
- Introduction
- The versatility and popularity of ANOVA techniques
- The focus of this chapter: one-way ANOVAs
- The Purpose of a One-Way ANOVA
- The number of inference made
- The direction and focus of the inference
- The Distinction Between One-Way ANOVAs and Other
Kinds of ANOVAs
- Synonyms for "one-way ANOVA"
- The number of independent variables (i.e., factors) and dependent
variables
- The "between" vs. "within" nature of the independent variable
- The One-Way ANOVA's Null and Alternative Hypotheses
- Two ways to express the null hypothesis
- Using symbols to express the alternative hypothesis
- Presentation of Results
- Results of a single one-way ANOVA
- A typical ANOVA summary table
- Using df values
- Textual presentation of results
- Results of two or more one-way ANOVAs
- Combining results into a single table
- Presenting findings within a passage of text
- The Bonferroni adjustment technique
- Assumptions of a One-Way ANOVA
- The four main assumptions
- Checking on the normality and equal variance assumptions
- Three options when the assumptions seem untenable
- Independence and the "unit of analysis"
- Statistical Significance Versus Practical Significance
- Three options
- Do researchers typically worry about practical significance?
- Cautions
- Significant and nonsignificant results from one-way ANOVAs
- Confidence intervals
- Other things to keep in mind
- A Final Comment
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