Location | Comparison | Data Structure | Type of Test | Observed Power |
---|---|---|---|---|

a | Task-relatedness in monkey R and S | Normally distributed | Wilcoxon rank-sum | R: 2.89 × 10^{−206} – 0.0481; S: 3.79 × 10^{−102} – 0.0498 |

b | Single-unit selectivity in monkey R | Normally distributed | 2-factor ANOVA | Location: 2.08 × 10^{−58} – 0.0486; Direction: 1.16 × 10^{−12} – 0.0496 |

Single-unit selectivity in monkey S | Normally distributed | 2-factor ANOVA | Location: 3.13 × 10^{−5} – 0.0496; Direction: 7.54 × 10^{−38} – 0.0445 | |

c, f | Location selectivity vs. chance in monkey R (c) and S (f) | Normally distributed | χ^{2} test | R: 8.29 × 10^{−10}; S: 0.6972 |

d, g | Direction selectivity vs. chance in monkey R (d) and S (g) | Normally distributed | χ^{2} test | R: 0.0019; S: 4.13 × 10^{−10} |

e, h | Overlapping selectivity vs. chance in monkey R (e) and S (h) | Normally distributed | χ^{2} test | R: 0.0040; S: 0.1016 |

i | Latency of significant difference in responses to preferred and nonpreferred location in monkey R and S | Normally distributed | Student’s t test | R: T = 12.36 ± 5.09; p = 2.46 × 10^{−45} – 0.0235; S: T = 4.15 ± 1.61; p = 2.98 × 10^{−8} – 0.0486 |

j | Latency of difference in responses to directions in monkey R and S | Normally distributed | Student’s t test | R: T = 7.14 ± 2.98; p = 4.63 × 10^{−21} – 0.0461; S: T = 11.41 ± 3.57; p = 4.79 × 10^{−37} – 0.0253 |

k, o | Decoding attended location using BSU approach vs. chance in monkey R (k) and S (o) | Normally distributed | Exact test | R: <0.01; S: >0.2400 |

l, p | Decoding attended location using BE approach vs. chance in monkey R (l) and S (p) | Normally distributed | Exact test | R: <0.01; S: >0.08 |

m, n | Decoding location from decorrelated BE (m) and BSU (n) ensembles in monkey R | Normally distributed | Paired t test | BE: p = 0.0091 – 0.0489; BSU: p = 0.2074 |

q, r | Decoding direction from decorrelated BE (q) and BSU (r) ensembles in monkey S | Normally distributed | Paired t test | BE: p = 1.59 × 10^{−4} – 0.0495; BSU: p = 0.0373 – 0.0499 |

s | Comparing BE Nmax decoding performance in monkey S to chance | Normally distributed | Exact test | 0.8000 |

t, u | Decoding motion direction using BSU approach vs. chance in monkey R (t) and S (u) | Normally distributed | Exact test | R: <0.01; S: <0.01 |

v, w | Decoding motion direction using BE approach vs. chance in monkey R (v) and S (w) | Normally distributed | Exact test | R: <0.01; S: <0.01 |

x, y | Decoding location from decorrelated BE ensembles in monkey R (x) and S (y) | Normally distributed | Paired t test | R: p = 1.43x10^{−4} – 0.0469S: p = 6.19x10^{−5} – 0.0458 |

z, aa | Comparing location decoding between animals using BE (z) and BSU (aa) | Normally distributed | Unpaired t test | BE: 5.69 × 10^{−7} – 2.99 × 10^{−4}; BSU: 1.05 × 10^{−5} – 4.02 × 10^{−4} |

bb, cc | Comparing motion direction decoding between animals using BE (bb) and BSU (cc) | Normally distributed | Unpaired t test | BE: 2.74 × 10^{−6} – 0.0080; BSU: 1.46 × 10^{−5} – 0.0191 |

dd, ee | Comparing max. location decoding performance between ensemble types in monkey R (dd) and S (ee) | Normally distributed | Wilcoxon signed-rank | R: 0.1250; S: 0.0625 |

ff, gg | Comparing max. direction decoding performance between ensemble types in monkey R (ff) and S (gg) | Normally distributed | Wilcoxon rank-sum | R: 0.1250; S: 0.0625 |

hh | Comparing maximum location decoding performance between ensemble types for each recording session | Normally distributed | Wilcoxon signed-rank | 0.0039 |

ii | Comparing maximum direction decoding performance between ensemble types for each recording session | Normally distributed | Wilcoxon signed-rank | 0.0039 |

jj | Comparing ensemble sizes with maximum decoding performance across stimulus features | Normally distributed | Wilcoxon signed-rank | 0.0198 |

kk | Comparing ensemble sizes with 90% of maximum decoding performance across stimulus features | Normally distributed | Wilcoxon signed-rank | 0.0293 |

ll, mm | Decoding attended location across all trial outcomes vs. chance in monkey R (ll) and S (mm) | Normally distributed | Exact test | R: <0.01; S: 0.2840 |

nn, oo | Decoding location across all hit trials vs. chance in monkey R (nn) and S (oo) | Normally distributed | Exact test | R: <0.01; S: 0.0160 |

pp, qq | Decoding location across all error trials vs. chance in monkey R (pp) and S (qq) | Normally distributed | Exact test | R: 0.4300; S: 0.3760 |

rr, ss | Decoding location across all false positive trials vs. chance in monkey R (rr) and S (ss) | Normally distributed | Exact test | R: 0.4600; S: 0.6600 |

tt, uu | Decoding motion direction in across all outcomes vs. chance in monkey R (tt) and S (uu) | Normally distributed | Exact test | R: <0.01; S: <0.01 |

vv ww | Decoding motion direction across all hit trials vs. chance in monkey R (vv) and S (ww) | Normally distributed | Exact test | R: <0.01; S: <0.01 |

xx, yy | Decoding motion direction across all error trials vs. chance in monkey R (xx) and S (yy) | Normally distributed | Exact test | R: 0.5500; S: <0.01 |

zz, aaa | Decoding motion direction in false positive trials vs. chance in monkey R (zz) and S (aaa) | Normally distributed | Exact test | R: 0.3850; S: <0.01 |

Superscript letters refer to the statistical tests in figures, Results, and Tables 2 and 3.