Tschuprowst

---
name: tschuprowst
description: Compute the TschuprowsT metric — provided by torchmetrics. Use when the user has predictions and ground-truth and needs to compute TschuprowsT, or asks how to score with TschuprowsT.
metadata:
  skill_kind: metric
  source_lib: torchmetrics
  import_path: torchmetrics.TschuprowsT
  source: library_introspection
---

# tschuprowst

> Metric `TschuprowsT` from `torchmetrics` (torchmetrics.TschuprowsT)

## When to invoke this skill

The user has predictions + ground truth and asks to evaluate with TschuprowsT, or
mentions `torchmetrics.TschuprowsT` directly, or wants the standard torchmetrics implementation.

## Reference signature

```python
from torchmetrics import TschuprowsT

# TschuprowsT(num_classes: int, bias_correction: bool = True, nan_strategy: Literal['replace', 'drop'] = 'replace', nan_replace_value: Optional[float] = 0.0, **kwargs: Any) -> None
```

## Library docstring

```
Compute `Tschuprow's T`_ statistic measuring the association between two categorical (nominal) data series.

.. math::
    T = \sqrt{\frac{\chi^2 / n}{\sqrt{(r - 1) * (k - 1)}}}

where

.. math::
    \chi^2 = \sum_{i,j} \ frac{\left(n_{ij} - \frac{n_{i.} n_{.j}}{n}\right)^2}{\frac{n_{i.} n_{.j}}{n}}

where :math:`n_{ij}` denotes the number of times the values :math:`(A_i, B_j)` are observed with :math:`A_i, B_j`
represent frequencies of values in ``preds`` and ``target``, respectively. Tschuprow's T is a symmetric coefficient,
i.e. :math:`T(preds, target) = T(target, preds)`, so order of input arguments does not matter. The output values
lies in [0, 1] with 1 meaning the perfect association.

As input to ``forward`` and ``update`` the metric accepts the following input:

- ``preds`` (:class:`~torch.Tensor`): Either 1D or 2D tensor of categorical (nominal) data from the first data
  series with shape ``(batch_size,)`` or ``(batch_size, num_classes)``, respectively.
- ``target`` (:class:`~torch.Tensor`): Either 1D or 2D tensor of categorical (nominal) data from the second data
  series with shape ``(batch_size,)`` or ``(batch_size, num_classes)``, respectively.

As output of ``forward`` and ``compute`` the metric returns the following output:

- ``tschuprows_t`` (:class:`~torch.Tensor`): Scalar tensor containing the Tschuprow's T statistic.

Args:
    num_classes: Integer specifying the number of classes
    bias_correction: Indication of whether to use bias correction.
    nan_strategy: Indication of whether to replace or drop ``NaN`` values
    nan_replace_value: Value to replace ``NaN``s when ``nan_strategy = 'replace'``
    kwargs: Additional keyword arguments, see :ref:`Metric kwargs` for more info.

Raises:
    ValueError:
        If `nan_strategy` is not one of `'replace'` and `'drop'`
    ValueError:
        If `nan_strategy` is equal to `'replace'` and `nan_replace_value` is not an `int` or `float`

Example::

    >>> from torch import randint
    >>> from torchmetrics.nominal import TschuprowsT
    >>> preds = randint(0, 4, (100,))
    >>> target = (preds + torch.randn(100)).round().clamp(0, 4)
    >>> tschuprows_t = TschuprowsT(num_classes=5)
    >>> ts
```

## Quick recipe

```python
import torchmetrics as _m
score = _m.TschuprowsT(y_true, y_pred)
```

## Don'ts

- Don't reimplement when the library version handles edge cases (NaN, ties, empty inputs) better than a hand-rolled formula.
- Always check the library version's argument order — sklearn is `(y_true, y_pred)` while torchmetrics is `(preds, target)`.