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Earth and Space Sciences · 术语表

什么是 Data misfit?

又称: misfit (data)

Definition 31.18 University Earth and Space Sciences — Year 3 · 第 31 章 — Field and Lab Methods III

The misfit of a model to NN data did_i of standard deviations σi\sigma_i is

χ2=∑i=1N(di−di modelσi)2.\chi^2 = \sum_{i=1}^N\left(\frac{d_i - d_i^{\,\mathrm{model}}}{\sigma_i}\right)^2 .

A model that explains the data to within their errors has χ2\chi^2 close to NN; a much larger value means the model is wrong, a much smaller one that it fits the noise.

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