I think it depends on number of dependent, independent, and control variables.
Case 1: There is only one continuous dependent variable, there are one plus categorical independent variables, and there is no control variable at all, then you can go for ANOVA.
Case2: There is only one continuous dependent variable, there are one plus categorical independent variables, and there are one plus control variables, then you can go for ANCOVA.
Case3: There are two or more continuous dependent variables, there are one plus categorical independent variables, and there is no control variable at all, then you can go for MANOVA.
Case 4: There are two or more continuous dependent variables, there are one plus categorical independent variables, and there are one plus control variables, then you can go for MANCOVA.
Case5: If there is only one continuous dependent variable, there is only one categorical independent variable (i.e. dichotomous, e.g. pass/fail), and no control variable, then go for t- Test.
I think it depends on number of dependent, independent, and control variables.
Case 1: There is only one continuous dependent variable, there are one plus categorical independent variables, and there is no control variable at all, then you can go for ANOVA.
Case2: There is only one continuous dependent variable, there are one plus categorical independent variables, and there are one plus control variables, then you can go for ANCOVA.
Case3: There are two or more continuous dependent variables, there are one plus categorical independent variables, and there is no control variable at all, then you can go for MANOVA.
Case 4: There are two or more continuous dependent variables, there are one plus categorical independent variables, and there are one plus control variables, then you can go for MANCOVA.
Case5: If there is only one continuous dependent variable, there is only one categorical independent variable (i.e. dichotomous, e.g. pass/fail), and no control variable, then go for t- Test.