Non-Parametric: Sign Test

Question 1

What are the hypotheses for one sample sign test?

Answer 1

H⁰:ŋ= median value
H¹:ŋ≠”
ŋ>”
ŋ<”

Question 2

What are the hypotheses for paired sign test?

Answer 2

H⁰:ŋD=0
H¹:ŋD≠0
ŋD>0
ŋD<0

Question 3

How do you find the TS for one sample sign test?

Answer 3

• Calculate signed diff. between each value and stated median
• Count no. + and - signs
• Both are TS - use smaller but both will give same answer

Question 4

How do you find TS for paired sign test?

Answer 4

• Calculate signed diff. between each pair
• Count no. + and - signs
• TS is the smaller total

Question 5

How to find CV?

Answer 5

Use B(n,0.5)

Question 6

Assumptions for both one and paired sample sign tests?

Answer 6

• Data follows no known distribution
• Samples taken randomly
• Samples taken independently (Randomise order to minimise bias