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Working Group I: The Scientific Basis |
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Appendix 12.3: Pattern Correlation Methods
The pattern correlation methods discussed in this section are closely related to optimal detection with one signal pattern. Pattern correlation studies use either a centred statistic, R, which correlates observed and signal anomalies in space relative to their respective spatial means, or an uncentred statistic, C (Barnett and Schlesinger, 1987), that correlates these fields without removing the spatial means. It has been argued that the latter is better suited for detection, because it includes the response in the global mean, while the former is more appropriate for attribution because it better measures the similarity between spatial patterns. The similarity between the statistics is emphasised by the fact that they can be given similar matrix-vector representations. In the one pattern case, the optimal (regression) estimate of signal amplitude is given by The uncentred statistics may be written similarly as where I is the n where U is the n |
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