Two-Way ANOVA: Examples
Various examples where two way ANOVA concepts are used:
- Medicine Experiment: Testing the effect of two types of medicine (A and B) on patients from different age groups (young and old).
- Crop Yield Study: Analyzing the impact of two fertilizers (X and Y) on crop yield across different soil types (sandy and loamy).
- Education Intervention: Evaluating the effectiveness of two teaching methods (traditional and online) on students from different socioeconomic backgrounds (low-income and high-income).
- Marketing Campaign: Assessing the influence of two advertising strategies (social media and television) on customer response among different geographical regions (urban and rural).
- Fitness Program Evaluation: Investigating the effects of two exercise routines (aerobic and strength training) on fitness levels among various age categories (teens, adults, seniors).
Two-Way ANOVA
ANOVA test is a method that compares means of three or more groups, assessing if differences are significant by analyzing variation within and between groups using F-ratio. Two-way ANOVA is used to estimate how the mean of a quantitative variable changes according to the levels of two categorical variables.
The article provides a comprehensive overview of the ANOVA test, its definition, application, example, formula, limitations, and comparison with two-way ANOVA.
Table of Content
- What is ANOVA Test?
- ANOVA Test Example
- ANOVA Formula
- Types of ANOVA Formula
- One Way ANOVA
- Two Way ANOVA
- When to Use a Two-Way ANOVA
- Two-Way ANOVA Assumptions
- Two-Way ANOVA: Examples