Given a problem, we are asked to use a statistical method to come up with a conclusion. e.g. XYZ drug decreases heart diseases. (null hypothesis)
After searching on internet, I got a list of these tests:
Analysis of variance (ANOVA), Chi-square test, Correlation, Factor analysis, Mann–Whitney U, Mean square weighted deviation (MSWD), Pearson product-moment correlation coefficient, Regression analysis, Spearman's rank correlation coefficient, Student's t-test, Time series analysis
I presume all methods above can be applied. So I pick up student's t-test as my choice.
How could I know whether it is a maximum likelihood estimation which is unbiased, consistent and efficient? What I think is that we should know the Mean and Variance of the estimate to conclude. But it is nowhere in the notes I found online. =/