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The calculation will yield a plot that demonstrates if there is a causality amongst the two inputs, X and Y, and at what lags it is critical.

if cross-correlation is the right statistic in this article or whether I ought to use A few other form of design?

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Hope that can help. I'm worried I do not operate in SPSS so I can't help you there (I operate in R myself). If yow will discover a method to in shape ARMA designs in SPSS and get the residuals, you should be able to utilize the cross-correlation function over the residuals for your personal statistic.