Power - I adjusted the worksheet to make the tolerances more realistic in the Range of .2 weak , .5 Medium , .8 Strong x > .8 Stronger etc. Power and Cohen's d Effect size: Indicates the size of a difference and is unaffected by sample size. Power: The ability to reject the Null Hypothesis when it is false: Three things affect power ( Beta is measured from the cutoff point of the Blue distribution Alpha - up to - the Alpha value of the Red distribution = Beta ) 1) Increase Alpha - say from .05 to .1 Power =[ 1 - Beta ] 2) Turn a two- tailed hypothesis test into a one- tailed test. 3) Increase " n " which does not affect Cohen's d. Here, I made an attempt to show the concept of power. [ Power is = ( 1 - Beta ) = Alpha ] The Red Distribution You can also adjust the sliders and to your own liking. 1) Cohen's d - Adjust Mu and Mu 1 to the different ranges to see effect size change. 2) Power values are Beta, Alpha, Beta1, Alpha1
I have attempted to show the relationship for power and Cohen's d - effect size weak- medium- large Effect or Interaction - In hypothesis testing; To help determine if significance is significant or is there an effect? and if so, how large or small?