Extended Data Fig. 5: Differences in SLIs cannot be explained by other experimental variables.
From: Allothetic and idiothetic spatial cues control the multiplexed theta phase coding of place cells

a, Schematic of the shuffling test based on theta frequency. SLIs in the same theta frequency bins (same color) were shuffled to create a null distribution of SLIs for each gain group. The same procedure was done for the shuffling based on the other parameters. b, Shuffling analysis to test if the difference in theta frequency (Fig. 3a) can explain the observed SLIs. The difference in the median SLI compared to epoch 1 was computed and tested against the null distribution. The differences in SLI between epoch 1 and the low and high gain groups were larger than the null distribution, demonstrating that the difference in theta frequency cannot explain the observed effect of SLI. Low: P <= 1.00 ×10−3, Mid: P = 0.249, High: P <= 1.00 ×10−3. c, Shuffling analysis to test if the difference in distance traveled by the rat to pass through the field in the lab frame can explain the observed SLIs. The decrease in SLIs in the low and high gain conditions was greater than the null distribution. Low: P <= 1.00 ×10−3, Mid: P = 0.0870, High: P <= 1.00 ×10−3. d, Shuffling analysis to test if the difference in the animal’s speed can explain the observed SLIs. The decrease in SLIs in the low and high gain conditions was greater than the null distribution. Low: P <= 1.00 ×10−3, Mid: P = 0.127, High: P <= 1.00 ×10−3. e, Shuffling analysis to test if the difference in time since the start of the experiment can explain the observed SLIs. Because epoch 1 is temporally segregated from epoch 3 by definition, shuffling was performed only using epoch 3 data. The decrease in SLIs in the low and high gain conditions compared to the mid gain condition was greater than the null distribution. Low: P <= 1.00 ×10−3, Mid: P = 8.00 ×10−3, High: P <= 1.00 ×10−3. Multiple comparisons correction was not applied for these shuffling analyses. **: P < 0.01, ***: P < 0.001.