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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 5.

Best case scenario for the Prescribed Optimism 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 five 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 1.6449 2.3263
1.15 q1 ≤1 ≤1 ≤0.93 ≤0.40 ≤0.24 ≤0.12
0.80 q2 ≤1 ≤1 ≤0.45 ≤0.19 ≤0.12 ≤0.059
0.56 q3 ≤1 ≤0.57 ≤0.22 ≤0.10 ≤0.06 ≤0.029
0.24 q4 ≤0.45 ≤0.10 ≤0.041 ≤ 0.018 ≤ 0.011 ≤0.0053