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. Author manuscript; available in PMC: 2012 Feb 1.
Published in final edited form as: J Neural Eng. 2011 Jan 19;8(1):016002. doi: 10.1088/1741-2560/8/1/016002

Table 1.

List of the 33 models considered to describe the effect of the three joint angles Ak, k = 1, 2, 3 on the firing rates of neurons. The notation s(.) is a spline basis with 4 non-parametric degrees of freedom. The notation s(Aj) * s(Ak) means that the main effects s(Aj), s(Ak), and their interaction s(Aj): s(Ak) are included in the model.

Index Model description Variations
1 gi = β0i
2–4 gi = β0i + s(Aj) j = 1, 2, 3
5–6 gi = β0i + s(Aj) + s(Ak) (j, k) = (1, 2), (2, 3)
7–8 gi = β0i + s(Aj) * s(Ak) (j, k) = (1, 2), (2, 3)
9–11 gi = β0i + s(Ȧj) j = 1, 2, 3
12–14 gi = β0i + s(Aj) * s(Ȧj) j = 1, 2, 3
15–18 gi = β0i + s(Aj) * s(Ȧj) + s(Ak) (j, k) = (1, 2), (2, 1), (2, 3), (3, 2)
19–22 gi = β0i + s(Aj) * s(Ak) + s(Ȧk) (j, k) = (1, 2), (2, 1), (2, 3), (3, 2)
23–25 gi = β0i + s(Aj) + s(Ȧj) j = 1, 2, 3
26–27 gi = β0i + s(Aj) * s(Ȧj) + s(Ak) * s(Ȧk) (j, k) = (1, 2), (2, 3)
28–31 gi = β0i + s(Aj) + s(Ȧj) + s(Ak) (j, k) = (1, 2), (2, 1), (2, 3), (3, 2)
32–33 gi = β0i + s(Aj) * s(Ak) + s(Ȧj) + s(Ȧk) (j, k) = (1, 2), (2, 3)