# Signs, Ranks, and Signed Ranks

The following are used in testing non-parametric statistics.

#### What is a

#### What is a

#### What is an

#### What is a

#### What is a

#### What is a *sign*?

- a value $\in \{0, 1\}$ assigned to each member of a data-set
- If the data-member is greater than the test-value, it's assigned a 1. Otherwise it gets a 0.

#### What is a *rank*?

- The number representing a data points' place in the ordered set (1-based index)
- If multiple points have the same value each is reassigned the mean of their original Ranks.

#### What is an *absolute rank*?

- Each point is reassigned its absolute value
- Then the set is Ranked

#### What is a *signed rank*?

- Assign a 1 to each data point greater than the test-value.
- Assign a 0 to the remaining points.
- Find the
*absolute rank*. -
For each point, assign it a
*signed rank*:\[SignedRank = Sign \times AbsoluteRank\]

#### What is a *rank sum*?

- the sum of all the ranks for a data-set.

*Source: Statistics II for Dummies*