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A new goodness-of-fit statistic and its application to 21-cm cosmology · Around

2018

A new goodness-of-fit statistic and its application to 21-cm cosmology

Tauscher, Keith, Rapetti, David, Burns, Jack O.

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The reduced chi-squared statistic is a commonly used goodness-of-fit measure, but it cannot easily detect features near the noise level, even when a large amount of data is available.

In this paper, we introduce a new goodness-of-fit measure that we name the reduced psi-squared statistic.
It probes the two-point correlations in the residuals of a fit, whereas chi-squared accounts for only the absolute values of each residual point, not considering the relationship between these points.
The new statistic maintains sensitivity to individual outliers, but is superior to chi-squared in detecting wide, low level features in the presence of a large number of noisy data points.

Built on

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