Glad to receive a reply to the problem Glen. Well the observations from two samples are independent.
So far I have progressed to : I want to test the difference between the means of the two samples which come from bernoulli populations. (the random variable used to generate the population is a coin toss with 1 or 0) . The mean of a bernoulli sample is essentially an estimate for the probability of 1's . I approximated that the two populations are normal. Then, I ran the t-test for difference in means of independent samples and get decent but not highly satisfactory results. My sample sizes are decently large about > 50, so running fisher's exact test is not required I believe. Since I still havent studied about chi-square, I do not know abt it. I am still searching if there exists a good test which can test the difference between means of two bernoulli populations. The question is -- Is the difference between means of two samples which come from bernoulli populations going to be normally distributed ? If yes, then it may be right to use t-test, if not t-test is an approximation ?? . regards, vijay ------------------------------------------- On 28 Apr 2004, Glen wrote: > Vijay Arya <[EMAIL PROTECTED]> wrote in message news:<[EMAIL PROTECTED]>... > > Hello, > > > > I have the following problem. > > > > ----------------------------- > > > > A user T has a coin with head or tails and we want to estimate the > > probability of head. > > > > when user A goes to T, he tosses the coin Na times giving a binary 1010... > > trace (1=heads, 0=tails). > > > > when user B goes to T, he tosses the coin Nb times giving a binary > > 1010...trace (1=heads, 0=tails). > > > > Now, > > > > A takes the mean Mua = (1+0+1+...)/Na (essentially the probability of > > heads) > > > > B does the same, Mub = (1+0+1....)/Nb > > > > I want to test the hypothesis > > > > H0: Mua not equals Mub > > H1: Mua equals Mub > > Your hypotheses are the wrong way around. > > > I wanted to know if this falls under "inference from two > > dependent or independent samples" > > Can you describe a way in which you think that the observations > from the two samples might be dependent? > > Glen > . . ================================================================= Instructions for joining and leaving this list, remarks about the problem of INAPPROPRIATE MESSAGES, and archives are available at: . http://jse.stat.ncsu.edu/ . =================================================================
