On flight day 9, 10 of 25 Rat1 units (0.40) have spatial information above the 95th percentile of 500 circular-shift shuffles on the Escher staircase (binomial p = 1.6e-7 against 0.05), and 2 of 28 Rat2 units (0.071, p = 0.41). By the criterion Rat1 is above chance but below 0.5 and Rat2 is not above chance, so neither the reproduced nor the partially reproduced rule is met. Repeats with 2000 shuffles and five other seeds give 10 or 11 of 25 for Rat1 and 2 of 28 for Rat2, and the run of 200 shuffles in the data check gives 10 and 2; 5 Rat1 units have p between 0.01 and 0.1. The outcome is the same as in 001754-knierim-2000-01, which recorded 12 of 25 for Rat1 (11 to 13 over seven runs); on the earlier version's files the notebook gives 11 or 12 of 25 for Rat1 and 2 or 3 of 28 for Rat2 over five seeds. Every real spike has a sample at its own time in both versions; the draft's trace adds samples at the other rat's spike times in each window, so shifted spikes find a sample more often and the shuffles change. Shifted spikes are now dropped about as often in Rat2's FD9 ES epoch (median 0.058) as in Rat1's (0.060), against 0.306 to 0.307 and 0.074 to 0.075 on the earlier version's files, and a count-matched variant gives 12 of 25 (0.48) for Rat1 and 2 of 28 for Rat2. With each unit's spikes replaced by a Poisson train of the same mean count, 9 of 122 flight ES units are significant (0.074, binomial p = 0.16 against 0.05), and 12 of 125 (0.096, p = 0.023) when each spike is moved to its nearest position sample, which reproduces the real drop rates; per session the false-positive fraction is 0 to 0.21, and in the judged sessions 0.160 and 0.154 for Rat1 and 0.037 and 0.214 for Rat2. Against these fractions Rat1's 10 of 25 is still above chance (p = 0.0035 and 0.0026) and Rat2's 2 of 28 is not (p = 0.28 and 0.99), so the outcome is the same, though the criterion's 0.05 is below the false-positive fraction of some sessions. With each unit's real train reversed in time within its epoch, which keeps its bursts and changes in rate and breaks its relation to the position, 2 of 122 flight ES units are significant (1 of 25 in Rat1's FD9 session, 0 of 27 in Rat2's), and Rat3's ES1 trains against the ES2 trace and the reverse give 0 of 16 and 0 of 19, so with real temporal structure the test is conservative. A unit's 95th percentile of the shuffles is nearly the same for its reversed train (Spearman rho 0.995), 1.7 to 2.3 times that of a Poisson train of the same count per session, and higher the fewer 10 s periods hold its spikes (rho -0.874 with the effective fraction of 10 s bins filled) and the fewer spikes it has (rho -0.601); the two explain 80% of its variance on a log scale. Rat2's FD9 units are the most clumped (median 0.145 of the bins, against 0.190 to 0.358 in the other sessions) and have the highest median 95th percentile (3.572). The test has less power for such units, and its power was not measured, so a low fraction, Rat2's especially, is weak evidence against a spatial code; the criterion's rule decides the outcome. The trace moves as a tracked animal would in Rat2's windows (median step 0.50 pixels and path length 33.0 pixels per second in its FD9 ES window), and units of neither rat are selective in any MC window (0 to 2 of 11 to 32), so neither settles whose position it is. Rat2's units are not selective with the trace in any window (1 of 16 and 2 of 28 in their own ES epochs, 0 of 15 and 0 of 41 in Rat1's), and Rat1's units are selective in Rat2's FD4 ES epoch (10 of 15), so the trace in Rat2's epochs may not be Rat2's position; the files say it is taken to be, and that the source does not name the animal tracked. On flight day 4, 11 of 20 Rat1 units, 1 of 16 Rat2 units, and 11 of 16 and 1 of 19 Rat3 units in its ES1 and ES2 epochs are significant. In MC epochs 0 to 2 units per session are significant. The "three orthogonal surfaces" part of the abstract is tested apart, and blocked.
How the test differed from the paper’s method
- The paper's Methods were not available; the selection (50 spikes at a known position), the 32 x 32 binning, the shuffle and the thresholds are common choices fixed in the claims file.
- Occupancy is the original analysis's occupancy map for the epoch, and shuffled spikes take the nearest position sample within 0.25 s, as the dandiset gives position only at spike times. A spike whose nearest sample is the lost position is dropped.
- Robust is read as at least half of the units significant in each flight day 9 session.
- Rat2's flight day 9 session is judged although whose position the trace holds in it could not be established.