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Exploring Data

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Analysis of Neural Data

Part of the book series: Springer Series in Statistics ((SSS))

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Abstract

Data analysis involves both manipulation, via formulas and computations, and interpretation of the results. During the period immediately following World War II, particularly in the United States, statistical theory was consumed with the logic of statistical inference and decision-making. Against this backdrop, John Tukey revolted.

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Notes

  1. 1.

    The normal distribution is also called the Gaussian distribution.

  2. 2.

    As we point out in Chapters 7–10, statistical procedures often require statistical summaries (such as the least-squares estimates \(\hat{\beta }_0\) and \(\hat{\beta }_1\) on p. 12) to be normally distributed rather than the data themselves.

  3. 3.

    Of all the values \(A\) in the function \(f(x)=A^x\), the value \(A=e\) makes the derivative of \(f(x)\) exactly equal to \(f(x)\) itself. For other values of \(A\) a constant must be introduced, which would make calculus-based formulas more complicated.

  4. 4.

    See also the related work on power laws by Anderson and Schooler (1991).

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Correspondence to Robert E. Kass .

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Kass, R.E., Eden, U.T., Brown, E.N. (2014). Exploring Data. In: Analysis of Neural Data. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9602-1_2

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