?Not reproducedResults, Comparison of anterior versus posterior sites, paragraph 1; Figure 7C and legendrests on an assumption
The peri-movement space captures preparatory tuning at both anterior and posterior sites, with normalized performance only slightly different from that of random halves of the data, slightly better at anterior sites.
The ability of the peri-movement space to capture tuning also held for both anterior and posterior sites ( Figure 7C ). ... Normalized performance was only slightly different than if we down-selected the data randomly.
Results, Comparison of anterior versus posterior sites, paragraph 1; Figure 7C and legend
Under the main reading, with the upper limit from the preparatory PCA space of all units in each subset at k = 6, normalized performance is 0.597 for the anterior array (55 included units) and 0.382 for the posterior array (37), against 0.620 for random halves, ratios of 0.963 and 0.615. Anterior is within the 10% bound and posterior is not; posterior is below the 5th percentile of the 40 random halves (0.512 to 0.751, SD 0.079). Anterior is better than posterior, as the paper reports. The criterion is met in 2 of 16 combinations of readings (upper limit with or without the unit being fit, at k = 6 or best k, space once or refit, trial selection, T-matrix units), both with the space refit and the unit kept in its upper-limit space; with the space computed once it fails under both upper-limit readings. With the unit left out, the ratios are 0.817 and 0.847 under the main reading otherwise, but the random halves exceed the upper limit in 11 of 40 halves (95th percentile 1.252, SD 0.190), and under the per-axis selection at k = 6 the random-half mean is -0.826 with SD 10.8. The outcome rests on the space being computed once, as for fig6-dimensionality-trend.
How the test differed from the paper’s method
- Assumed array of each unit from the id prefix, as for results-ap-location-no-effect; with a binary location, the median split gives the two arrays.
- The upper-limit space is "derived from the preparatory activity of all neurons (T was c×n with each row containing the mean preparatory activity for every neuron)" and "provides a rough upper limit on performance" (Supplemental Experimental Procedures, Estimating the upper limit). No exclusion of the unit being fit is stated, where the Methods state one for the peri-movement space ("all neurons except the neuron whose preparatory activity we were trying to capture"), so the main reading keeps the unit in its upper-limit space. Left out, the random halves exceed the upper limit. Both readings are run and every row counts. Whether the space is taken at k = 6 or its best k is open in the claims file; both are run.
- Random halves are 20 random splits of all units, 40 halves; the paper does not say how many.
- Judged on J-array alone, where Figure 7C averages the datasets.