Table 1.
Minimum number of cells per condition that are needed to distinguish underlying orientation or direction selectivity index differences for two noise models.
| OI base + Δ | If readout is OI | If readout is 1-CirVar | ||||
|---|---|---|---|---|---|---|
| 0.95 | 0.99 | 0.999 | 0.95 | 0.99 | 0.999 | |
| 0.5 + 0.1 | 16/100 | 37/190 | 201/365 | 9/43 | 16/85 | 26/130 |
| 0.5 + 0.2 | 6/20 | 13/40 | 40/80 | 5/6 | 7/15 | 12/28 |
| 0.5 + 0.3 | 5/6 | 8/15 | 19/21 | 5/4 | 5/6 | 8/9 |
| DI base + Δ | If readout is DI | If readout is 1-DirCirVar | ||||
| 0.95 | 0.99 | 0.999 | 0.95 | 0.99 | 0.999 | |
| 0.15 + 0.1 | 103/1k | 183/2k | 313/3k | 38/181 | 69/324 | 117/519 |
| 0.15 + 0.2 | 26/145 | 48/265 | 74/410 | 10/40 | 18/64 | 29/112 |
| 0.15 + 0.3 | 11/45 | 21/80 | 34/145 | 5/12 | 9/23 | 15/40 |
| 0.3 + 0.1 | 84/291 | 152/521 | 233/950 | 30/80 | 56/147 | 92/250 |
| 0.3 + 0.2 | 20/58 | 39/109 | 64/170 | 9/20 | 15/36 | 24/61 |
| 0.3 + 0.3 | 10/22 | 18/41 | 31/75 | 5/10 | 8/14 | 13/21 |
| 0.5 + 0.1 | 76/131 | 141/241 | 218/384 | 26/43 | 43/76 | 82/140 |
| 0.5 + 0.2 | 20/30 | 37/50 | 59/110 | 8/10 | 13/20 | 22/31 |
| 0.5 + 0.3 | 10/11 | 17/20 | 27/35 | 5/5 | 7/10 | 12/14 |
The top three rows assume that the control group has an underlying OI that is 0.5, and the experimental group has the increment indicated in each row. The bottom rows assume that the control group has an underlying DI that is 0.15, 0.3, or 0.5 as specified, and the experimental group has the increment indicated in each row. The middle and right columns show the minimum cells that are needed to distinguish the control and experimental groups with a T-test at several confidence levels (0.95, 0.99, 0.999) if the experimenter is calculating OI (or DI) values as a readout (middle columns), or if the experimenter is calculating 1-CirVar (or 1-DirCirVar) values (right columns). The number of cells indicated is the number of cells required per condition (control or experimental), so twice this number would be required for a total experiment. Two noise models were used. In the data points to the left of the slash, 40% noise was added to the responses. In the data points to the right of the slash, “2-photon OGB-1AM” noise was used; that is, noise = 20% + 10 * response. Angle step size was 22.5°. Note that many fewer cells are needed to evaluate changes in orientation and direction selectivity if 1-CirVar or 1-DirCirVar is used as a readout as compared to OI or DI.