# Parity plot

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A **parity plot** is a [scatterplot](/source/Scatterplot) that compares a set of results from a computational model against benchmark data. Each point has coordinates (*x*, *y*), where *x* is a benchmark value and *y* is the corresponding value from the model.[1]

A line of the equation *y* = *x*, representing perfect model performance, is sometimes added as a reference. Where the model successfully reproduces a benchmark, that point will lie on the line.

Parity plots are found in scientific papers and reports, when the author wishes to validate a model in a visual way. However, when the data have a wide range, the large scale makes important discrepancies invisible and the model appears better than it actually is. In that case, a plot of model errors [(*y* − *x*) vs. *x*] is better for evaluating the performance of the model.

## See also

- [Q–Q plot](/source/Q%E2%80%93Q_plot)

## References

1. **[^](#cite_ref-1)** Rhinehart, R. R. (2016). Nonlinear Regression Modeling for Engineering Applications: Modeling, Model Validation, and Enabling Design of Experiments. Deutschland: Wiley. Page 251 [https://www.google.de/books/edition/Nonlinear_Regression_Modeling_for_Engine/LonIDAAAQBAJ?hl=de&gbpv=1&dq=%22parity%20plot%22%20definition%20statistic&pg=PA251](https://www.google.de/books/edition/Nonlinear_Regression_Modeling_for_Engine/LonIDAAAQBAJ?hl=de&gbpv=1&dq=%22parity%20plot%22%20definition%20statistic&pg=PA251)

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