the influence of single observations on simple statistical tests
1.(one sample)generate random numbers x1 x2 ......xn on minitab with normal distribution N(mean, sigma),suppose mean and variance is known. then make xn to have same distribution but different parameter such that N(mean+delta, sigma) with different mean and same variance. check for z test to see what is the over all influence of the outlier on the test. n should vary also we have to check 100 times with different delta.
2. (1 sample)the same as before but sigma is unknown, use t test. check for the same reason as before.
3. (2 sample) check for 2 sample tests could be F test or other
10-15 pages should include theoretical parts and simulation
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PhD in statistics are available for such jobs. PM me so that we can start work immediately on your project as its a combination of text and stat. Good Luck!!!