Table 1. The Stimulus Sequences by Circle Position.
n | Sequence | G |
---|---|---|
11 | 4-2-3-2-1-2-1-2-4-1-3-2-1-4-1-3-1-3-2-4-1-3-1-3-1-4-2-4-3-4-2-4-1-3-1-4-2-3-2-4-1-4-2-3-4-3-2-3 | .25 |
14 | 1-2-3-1-3-1-2-1-2-1-3-4-3-4-1-2-4-2-4-2-4-3-1-2-4-3-4-2-4-3-4-3-1-2-3-4-2-1-3-4-2-1-3-1-3-4-2-1 | .40 |
16 | 2-1-4-3-4-3-2-4-1-2-3-2-1-2-1-4-3-4-3-2-3-2-3-2-1-3-2-1-4-1-4-1-4-3-4-1-2-1-4-1-4-3-2-3-2-3-4-1 | .44 |
11 | 4-2-3-4-2-1-3-1-3-1-3-1-3-4-2-4-2-4-2-1-3-1-3-1-3-4-2-3-4-2-1-3-1-3-4-1-2-1-2-4-2-4-2-1-3-4-2-4 | .55 |
11 | 4-3-4-3-4-3-2-1-4-3-2-1-4-3-2-1-4-3-2-1-4-3-2-1-3-2-1-4-3-2-1-3-2-1-2-1-4-3-2-1-2-1-4-3-4-2-1-4 | .68 |
13 | 3-2-3-2-4-1-3-2-4-1-4-1-3-2-3-2-3-2-4-1-3-2-4-1-3-2-3-2-4-1-3-2-4-1-4-1-3-2-4-1-4-1-4-1-4-1-3-2 | .76 |
10 | 2-3-1-4-1-4-1-4-2-3-1-4-2-3-1-4-2-3-1-4-2-3-1-4-2-3-2-3-2-3-2-3-1-4-1-4-2-3-1-4-2-3-1-4-2-3-1-4 | .79 |
15 | 2-3-4-1-2-3-4-1-2-3-2-3-4-1-2-3-4-1-2-3-4-1-2-3-4-1-2-3-4-1-4-1-2-3-4-1-2-3-4-1-2-3-4-1-2-3-4-1 | .89 |
15 | 2-1-3-4-2-1-3-4-2-1-3-4-2-1-3-4-2-1-3-4-2-1-3-4-2-1-3-4-2-1-3-4-2-1-3-4-2-1-3-4-2-1-3-4-2-1-3-4 | 1,0 |
14 | 1-2-4-3-1-2-4-3-1-2-4-3-1-2-4-3-1-2-4-3-1-2-4-3-1-2-4-3-1-2-4-3-1-2-4-3-1-2-4-3-1-2-4-3-1-2-4-3 | 1,0 |
11 | 4-3-2-1-4-3-2-1-4-3-2-1-4-3-2-1-4-3-2-1-4-3-2-1-4-3-2-1-4-3-2-1-4-3-2-1-4-3-2-1-4-3-2-1-4-3-2-1 | 1,0 |
Note. Stimulus sequences were numbered as in Figure 1. n = number of subjects randomly assigned to this training sequence. G is a grammatical regularity score taken from Jamieson and Mewhort’s (2009) study of implicit learning. G = 1 – U(sequence)/U(random) where U(sequence) is equal to the first-order entropy of the sequence. This is simply equal to the entropy of the probability distribution of transitions from positions i to j: -ΣiΣjpijlog(pij), where pij is the probability that position i will transition to symbol j. U(random) is equal to the first-order entropy of a fully random transition matrix Ri,j (excluding where i = j).