Question

Your manager has asked you to review a research proposal that includes a section on sample size justification. A careful reading of this section indicates that the power is 18% for detecting an effect that would be considered important. Write a short report for your manager explaining what this means and make a recommendation on whether or not this study should be run. Please be descriptive

Answer 1

Andwer + The power increases, the chances of a Type-17 porno decoreases The powers of a statistical test is the probability that test will reject a false null hypothesis (Ho) * The likelihood of Type II error is refers to false rate ? . Hence the Power is equal to 1-ß - and which is equals to sensitivity. *An effect size can be a standardized measure also accounts for the variability in the population cow distet stimate of the quantity of interest Ex:- The difference of outcomes =Y=X Y-x is a direct measure of effect size Therefore, (Y-x) Here o = common standard deviation of outromes in the treated and control groups. Should be a standardized effect size, Here the sample size determines the amount of sampling error inherent in a test result and increasing sample size is the easiest way to boost the statistical Power of a test researchers assess the power test using 0.80 as a standard for adequacy. Ex:- c a population corelation bra job performance & intelligence =0.50 researcher *Mot sample size (n) =20 2=0.05 Power = 80% the correlation herefore, is 0.30 or 0.60 or 0.50 , an effect is considered important of Power is 18% For detecting an alt

eltere we swould cautions running the study because the 2 - Pouer is very low * Therefore, it should be better to increase the sample size(n) then should increases the Power & only then go for the I study.