The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.stat.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Type II error, Power
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
Luis A. Afonso

Posts: 4,758
From: LIsbon (Portugal)
Registered: 2/16/05
Type II error, Power
Posted: Jun 6, 2014 12:10 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Type II error, Power

Suppose for a one-tail right test
H0: N(0,1), Ha: N(a=4,1)

___Type I___________________Type II=left area_
Alpha H0 c.v. _________Z0a
5% ___1.645___1.645-4= -2.355____0.0093
1% ___2.363___2.363-4= -1.637____0.0508
Powers are as high as 99.07% and 99.92%.

For a=2
Za|alpha=5% = -0.355, left= 0.3613, Power=63.87%
Za|alpha=1% =+0.363, left= 0.6417, Power=34.13%

In general H0: N(mu0, sigma), Ha: N(mua, sigma) the Power is high as Z0a= |mu0-mua|/sigma is large and Alpha= 5%.
Luis A. Afonso

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.