I do not understand your question. Clinical significance and statistical significance are not the same and do not go hand in hand. You can have a difference between two groups that is statistically significant but is not clinically significant. On the other hand, in my opinion, you cannot have a difference that is clinically significant unless it is also statistically significant.
I already have statistical significance but I need to confirm the clinical significance too if the effect size is high. So how can I calculate the cohen's d effect size for three independent groups ?
Mariam Ameer , usually if you have a design with multiple groups, the effect size measurement is something like r-squared. This could be r-squared, eta-squared, partial eta-squared, omega-squared, and so on. These range from 0 and 1, and indicate the amount of the variability in the dependent variable explained by the model. They are different if what information they convey than Cohen's d.