One Way ANOVA conducted to check whether there are significant differences between the means of three or more independent groups.
The two-way ANOVA compares the mean differences between groups that have been split on two independent variables. It is to understand if there is an interaction between the two independent variables on the dependent variable.
Exapmle, you could use a two-way ANOVA to understand whether there is an interaction between gender and educational level on test anxiety amongst university students, where gender (males/females) and education level (undergraduate/postgraduate) are your independent variables, and test anxiety your dependent variable
One Way ANOVA conducted to check whether there are significant differences between the means of three or more independent groups.
The two-way ANOVA compares the mean differences between groups that have been split on two independent variables. It is to understand if there is an interaction between the two independent variables on the dependent variable.
Exapmle, you could use a two-way ANOVA to understand whether there is an interaction between gender and educational level on test anxiety amongst university students, where gender (males/females) and education level (undergraduate/postgraduate) are your independent variables, and test anxiety your dependent variable
The one-way analysis of variance (ANOVA) is used to determine whether there are any significant differences between the means of three or more independent (unrelated) groups.
The two-way ANOVA compares the mean differences between groups that have been split on two independent variables (called factors). The primary purpose of a two-way ANOVA is to understand if there is an interaction between the two independent variables on the dependent variable.