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Difference between One-way ANOVA & Two-way ANOVA

One-way ANOVA
Two-way ANOVA
There must be three or more groups. If there are two groups only, you can use a 2-independent-sample t-test.
There are two grouping factors. 

The independent variable is called the grouping factor. The group is called the level.
Unlike one-way ANOVA, in this design it is allowed to have fewer than three levels (groups) in each factor.
In this example, there is one factor and three levels (Group 1-3).
Group1
Group2
Group3
Mean
10
11
12
In this example, there are two factors: A and B. In each factor, there are two levels: 1 and 2. Thus, it is called a 2X2 ANOVA between-subject design.
A1
A2
B1
10
11
B2
12
13

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