08_03 - STAT 410 Examples for 08/03/2009 Summer 2009...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
STAT 410 Examples for 08/03/2009 Summer 2009 Example 1 : 1 2 3 4 5 p 0 ( x ) 0.35 0.05 0.20 0.25 0.15 p 1 ( x ) 0.20 0.20 0.20 0.20 0.20 H 0 : X has p.m.f. p 0 ( x ) vs. H 1 : X has p.m.f. p 1 ( x ). 1 2 3 4 5 λ ( x ) 1.75 0.25 1 1.25 0.75 Reject H 0 if x = 2 α = 0.05, Power = 0.20. Reject H 0 if x = 2 or 5 α = 0.20, Power = 0.40. Reject H 0 if x = 2 Reject H 0 with probability 3 1 if x = 5 α = 0.10, Power = 15 4 .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Example 2 : 1 2 3 4 5 p 0 ( x ) 0.05 0.10 0.20 0.25 0.40 p 1 ( x ) 0.20 0.20 0.40 0.10 0.10 H 0 : X has p.m.f. p 0 ( x ) vs. H 1 : X has p.m.f. p 1 ( x ). 1 2 3 4 5 λ ( x ) 0.25 0.5 0.5 2.5 4 Reject H 0 if x = 1 α = 0.05, Power = 0.20. Reject H 0 if x = 1 Reject H 0 with probability 2 1 if x = 2 α = 0.10, Power = 0.30. Reject H 0 if x = 1 Reject H 0 with probability 4 1 if x = 3 α = 0.10, Power = 0.30. Reject H 0 if x = 1 Reject H 0 with probability 4 1 if x = 2 Reject H 0 with probability 8 1 if x = 3 α = 0.10, Power = 0.30.
Background image of page 2
H 0 : θ Θ 0 vs. H 1 : θ Θ 1 Θ 0 Θ 1 = . Reject
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 4

08_03 - STAT 410 Examples for 08/03/2009 Summer 2009...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online