Further Maths.

How do I preform a single sample sign test? (list of numbers)

1. Ho: median = x

2. H1: median > < or not equal to x

1. X-B(n,0.5) where n is the number of items in the list

2. Work out how many values is above the median for ‘not equal to’ and median is greater

3. Do the same for less than

4. Work out the probability of that or more extreme

5. If its not equal to double it

1. If p is low reject that Hoe (Ho)

How do I preform a Single-Sample Wilcoxon signed rank test? (A list)

1. H0: median = x

2. H1: median = or < or > x. (It being one tailed will only affect the Critical Value)

3. Work out the difference from the mean

4. Do the modulus of that

5. Rank them

6. Add signs

7. W+ and W- and pick the smaller one as T

8. Find the C.V.

9. If T is low, reject that Hoe (Ho)

How do you preform a matched pairs test? (table with two rows)?

1. define d as the difference

2. Ho: median of d is 0

3. H1: median of d is not equal to/</> 0

1. You can either do a sign test or a Wilcoxon signed rank test

How do you preform a Wilcoxon rank-sum test? (two lists with varying lengths)

1. H0: the median is the same

2. H1: the median is different

3. So a table with:

A Rank B Rank

4. Write both list from smallest to biggest. Leave room as if they are all in one column

5. m is the length of smaller list

6. N is the list of the larger list

7. Rm is the sum of the ranks of the smaller list

8. Compare this to m(m+n+1) - Rm

9. Pick the smaller one as W

10. If W is lower than the C.V, reject that Ho

How do you preform a Normal approximation?