When should we use one-way ANOVA to do analysis?

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One-way ANOVA (Analysis of Variance) is a statistical test used to compare means between three or more groups or levels of a categorical independent variable. It is appropriate to use one-way ANOVA in the following situations:
1. Comparing means of multiple independent groups: One-way ANOVA is used when you have a single categorical independent variable (with three or more levels) and a continuous dependent variable. It allows you to examine whether there are statistically significant differences in the means of the dependent variable across the different groups.
2. Testing for treatment effects in experimental designs: One-way ANOVA is commonly used in experimental designs to analyze the effects of different treatments or interventions on a dependent variable. The independent variable represents the treatment groups, and the dependent variable is the outcome measure.
3. Analyzing data with one categorical and one continuous variable: One-way ANOVA is appropriate when you have one categorical independent variable and one continuous dependent variable. The categorical independent variable should have three or more levels or groups.
4. Checking for group differences in survey or questionnaire data.: One-way ANOVA can be utilized to examine group differences in survey or questionnaire responses when the independent variable represents the groups being compared (e.g., age groups, income brackets) and the dependent variable is a continuous measurement scale.