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. Author manuscript; available in PMC: 2020 Nov 1.
Published in final edited form as: Psychol Rev. 2019 Aug 15;126(6):865–879. doi: 10.1037/rev0000156

Table 4.

Best case scenario for Foroughi et al’s memory theory under the assumption that everyone in a subpopulation of size p satisfies the theory without exception. Each of the bottom four rows contains the effect size d and upper bounds on qi, the proportion of variance attributed to individual differences, for six different values of p.

p 0.6 0.7 0.8 0.9 0.95 0.99
d zp 0.2533 0.5244 0.8416 1.2816 1.6499 2.3263
0.85 q1 ≤1 ≤1 ≤0.51 ≤0.22 ≤0.13 ≤0.067
0.9 q2 ≤1 ≤1 ≤0.57 ≤0.25 ≤0.15 ≤0.075
0.7 q3 ≤1 ≤0.89 ≤0.35 ≤0.15 ≤0.09 ≤0.045
0.73 q4 ≤ 1 ≤0.97 ≤0.38 ≤0.16 ≤0.10 ≤0.049