How to analyze factorial design with additional one control group?

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I saw the term "incomplete factorial design " here

And basically in the simplest case, it is a 2x2 factorial design with an additional no-treatment control group.

  I'm not sure about which test can be applied to this situation.

I considered 2-Way ANOVA, however, the no treatment group is not included in neither two factor, how can I do the comparison ? I would like to compare both no treatment, treatment method1 & treatment method2.

incomplete factorial design example