Sequential tests and Type II error

[Escualida]

I am performing a series of sequential hypothesis tests. I'm using the Bonferroni inequality, and a global alpha, to calculate alpha for each of the tests. This will assure me that my Type I error will be reasonable. However, as my alpha gets smaller, by beta will grow larger. And I do not want that to happen, since I may end up never rejecting the null hypothesis. In which ways can I control the Type II error (as well as Type I error) in a case like this?

Thanks a lot! :)

[JohnM]

Besides increasing alpha, things you can do to directly increase power include:

-changing the alternative hypothesis(es)
-increasing the sample size

[Escualida]

Thank you John!

Any good books/sites about decreasing beta specifically on sequential tests?

Thanks again :)