Table 1 Required sample sizes (N) per group in a group comparison design as a function of the number of fMRI volumes (influencing precision) and the expected size of the raw group difference in MSE.
From: On the estimation of brain signal entropy from sparse neuroimaging data
Amount of Data | Scale | MSE Precision | Estimated group-wise N required to achieve a specific raw group difference in MSE of: | ||||
|---|---|---|---|---|---|---|---|
0.05 | 0.10 | 0.15 | |||||
Statistical Power (1− β ) | 0.80 | 10 × 16 | 1 | 0.09 | 51 | 13 | 6 |
5 | 1.80 | >1000 | >1000 | >1000 | |||
10 × 32 | 1 | 0.08 | 41 | 11 | 5 | ||
5 | 0.55 | >1000 | 474 | 211 | |||
10 × 64 | 1 | 0.07 | 31 | 8 | 4 | ||
5 | 0.25 | 392 | 98 | 44 | |||
885 | 1 | 0.06 | 23 | 6 | 3 | ||
5 | 0.10 | 63 | 16 | 7 | |||
0.90 | 10 × 16 | 1 | 0.09 | 68 | 17 | 8 | |
5 | 1.80 | >1000 | >1000 | >1000 | |||
10 × 32 | 1 | 0.08 | 54 | 14 | 6 | ||
5 | 0.55 | >1000 | 635 | 282 | |||
10 × 64 | 1 | 0.07 | 42 | 11 | 5 | ||
5 | 0.25 | 525 | 132 | 59 | |||
885 | 1 | 0.06 | 31 | 8 | 4 | ||
5 | 0.10 | 84 | 21 | 10 | |||
0.95 | 10 × 16 | 1 | 0.09 | 85 | 22 | 10 | |
5 | 1.80 | >1000 | >1000 | >1000 | |||
10 × 32 | 1 | 0.08 | 67 | 17 | 8 | ||
5 | 0.55 | >1000 | 785 | 349 | |||
10 × 64 | 1 | 0.07 | 51 | 13 | 6 | ||
5 | 0.25 | 649 | 163 | 73 | |||
885 | 1 | 0.06 | 38 | 10 | 5 | ||
5 | 0.10 | 104 | 26 | 12 | |||
