tiedrank — Rank observations using average ranks for ties.

tiedrank(X) assigns ascending average ranks to numeric observations and preserves the input shape. [R,tieadj] = tiedrank(X) also returns tie adjustment terms.

Syntax

R = tiedrank(X)
[R, tieadj] = tiedrank(X)

Inputs

NameTypeRequiredDefaultDescription
XAnyYesInput data array.

Returns

NameTypeDescription
RNumericArrayAverage ranks for tied observations.
tieadjNumericArrayTie adjustment terms for rank-based statistics.

Returned values from tiedrank depend on how many outputs the caller requests.

Errors

IdentifierWhenMessage
RunMat:tiedrank:InvalidArgumentInputs, dimensions, probabilities, or options are malformed.order statistics: invalid argument
RunMat:tiedrank:InternalInternal tensor conversion or allocation fails.order statistics: internal error

How tiedrank works

  • Equal values receive the average of their occupied ranks.
  • NaN inputs remain NaN in the output.
  • Vector inputs are ranked across all elements.
  • Matrix inputs are ranked independently within each column.
  • N-dimensional inputs are ranked along the second dimension.
  • tieadj is a scalar for vector inputs and has the ranked dimension collapsed to length one for array inputs.

Example

Average tied ranks

r = tiedrank([10 20 20 NaN])

Using tiedrank with coding agents

Open a RunMat example with live inputs, then ask the agent to explain how tiedrank changes the result.

Run a small tiedrank example, explain the result, then change one input and compare the output.

FAQ

How are ties handled?

All observations in a tie group receive the average rank for that group. The second output reports the sum of t^3 - t terms for tie groups in each ranked slice.

Open-source implementation

Unlike proprietary runtimes, every RunMat function is open-source. Read exactly how tiedrank is executed, line by line, in Rust.

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