Non Parametric Hypothesis Test

Question 1

Assumptions of Sign test

Answer 1

The sample is random

There are no assumptions

Question 2

State the hypothesis of sign test

Answer 2

H0 : h =

H1 : h<
h>
h=\

Question 3

Declare the test of sign test

Answer 3

Use a _ tailed Sign test at the _ % level using B(n,0.5)

Question 4

How do you find Test stat in sign test

Answer 4

Find all the +
Find all the -

Use the one with the smaller number

Question 5

What is the critical region for sign test

Answer 5

P value
Only use lower value

Question 6

What are the assumptions of Wilcoxon signed rank test

Answer 6

The population must have a symmetrical distribution

The sample must be random

Question 7

What is the hypothesis for wilcoxon signed rank test

Answer 7

H0 : h =

H1 : h<
h>
h=\

Question 8

Declare the test for wilcoxon signed rank test

Answer 8

Use a _ tailed wilcoxon sighed rank test at the _% level using n= (number of non zero differences)

Question 9

How to find the Test Stat in wilcoxon rank test

Answer 9

Subtract n of each value
Ignore any differences
Rank all the differences in order of size
T+ = add up all the ranks from positive differences
T- = add up the ranks from all the negative differences

T.S = lowest number from the + or -

Question 10

Define the variables for paired sign test

Answer 10

Let x be
Let y be

Let D = X-Y or Y-X

Question 11

State the hypothesis of Paired Sign test

Answer 11

H0 : hD = 0

H1 : hD > 0
hD < 0
hD =\ 0

Question 12

Declare the test of a Paired sign test

Answer 12

Use a _ tailed paired sign test at the _ % levels using B(n, 0.5)

Question 13

How do you find the test stat of paired sign test

Answer 13

Find the +
Find the -

Use the one with smallest number

Question 14

How do you find the critical value of Paired sign test

Answer 14

P value

Question 15

State the variables of a paired wilcoxon signed rank test

Answer 15

Let x be
Let y be

Let D = X-Y or Y-X

Question 16

State the hypothesis for paired wilcoxon signed rank test

Answer 16

H0 : hD = 0

H1 : hD > 0
hD < 0
hD =\ 0

Question 17

Declare the hypothesis of a wilcoxon signed rank test

Answer 17

Use a _ tailed paired wilcoxon signed rank test at the _ % levels using n =

Question 18

How to find test stat for paired wilcoxon signed rank test

Answer 18

Subtract n of each value
Ignore any differences
Rank all the differences in order of size
T+ = add up all the ranks from positive differences
T- = add up the ranks from all the negative differences

T.S = lowest number from the + or -

Question 19

What is the critical region for paired wilcoxon signed rank

Answer 19

Long line with two ends

Only use lower tail

Question 20

Assumption of wilcoxon rank sum test

Answer 20

Both populations have similar shaped distribution

Populations are independent of each other

Both samples are random

Question 21

State the hypothesis for Wilcoxon rank sum test

Answer 21

H0: hx-hy = 0

H1: hx-hy > 0
hx-hy < 0
hx-hy =\ 0

Question 22

How to find test stat of Wilcoxon rank sum test

Answer 22

First rank the data separately

Then add each of the samples to get a total of Tx and Ty

Then find Ux and Uy by doing the formula

U= T- n(n+1)/
2

Then find the smaller value and use that as the T.S