Type II error in statistics

[Agent Smith]

In statistical significance test we can reduce the probability of a type II error (failing to reject a false null hypothesis) if we increase the sample size. How does that work?

 

[khansaheb]

In statistical significance test we can reduce the probability of a type II error (failing to reject a false null hypothesis) if we increase the sample size. How does that work?

What is the criterion for rejecting or accepting a hypothesis?

What parameter is tested to perform the operation (acceptance or rejection)? What is the expression of that criterion? How does that depend on sample size?

 

[Agent Smith]

What is the criterion for rejecting or accepting a hypothesis?

What parameter is tested to perform the operation (acceptance or rejection)? What is the expression of that criterion? How does that depend on sample size?

I think all that you ask for is part of the assumptions we have to make for a significance test. Anyway, we have a significance level (\(\displaystyle \alpha\)) against which we compare a p value that we have to compute. I haven't reached the part where we actually compute the p value. I'm just learning the basics of the 2 types of statistical errors. For type II it says a large sample size will reduce the probability of type II errors. I don't know why.

 

[mario99]

In statistical significance test we can reduce the probability of a type II error (failing to reject a false null hypothesis) if we increase the sample size. How does that work?

This video might help you to know how!

Click here.

And also this link: scroll down to How to reduce the probability of Type II errors.

Type II error | Relation to power, significance and sample size

Learn about Type II errors and how their probability relates to statistical power, significance and sample size.

www.statlect.com

I think all that you ask for is part of the assumptions we have to make for a significance test. Anyway, we have a significance level (\(\displaystyle \alpha\)) against which we compare a p value that we have to compute. I haven't reached the part where we actually compute the p value. I'm just learning the basics of the 2 types of statistical errors. For type II it says a large sample size will reduce the probability of type II errors. I don't know why.

Be patient Agent Smith. When you solve at least 10 problems in type II error, you will probably know the reason. By the way, this is not an [imath]\infty[/imath] problem, so I guess that you will figure out the reason by the end of the chapter or sooner.