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. 2021 May 27;12:3195. doi: 10.1038/s41467-021-23424-1

Table 1.

Generalized mixed-effects models on individual and aggregated errors.

Effect Estimate Fitted Brier score SE t p
(A) Individual forecasting error as a function of forecast type
Intercept −2.14224 0.1173915 0.24230 −8.841 <2e − 16
Initial 0.62237 0.2187395 0.09040 6.884 5.81e − 12
Revised 0.69532 0.2352946 0.08947 7.772 7.73e − 15
Final 0.23849 0.1490093 0.09979 2.390 0.0169
(B) Individual forecasting error as a function of diversity and group size
Intercept −1.96631 0.139972 0.30877 −6.368 1.91e − 10
Final 0.20997 0.1726759 0.07814 2.687 0.00720
Diverse −0.37285 0.1189339 0.20278 −1.839 0.06595
Small −0.20011 0.1413602 0.20094 −0.996 0.31932
Diverse:small 0.82956 0.2231896 0.29025 2.858 0.00426
(C) Aggregated forecasting error as a function of forecast type
Intercept −1.8387 0.1590198 0.2508 −7.331 2.29e − 13
Initial 0.6815 0.3143683 0.2293 2.972 0.00296
Revised 0.5999 0.2897372 0.2301 2.607 0.00913
Final −0.1281 0.1398955 0.2964 −0.432 0.66557
(D) Aggregated forecasting error as a function of Diversity and Modularity
Intercept −1.76627 0.1709691 0.33428 −5.284 1.27e − 07
Final −0.06877 0.15960632 0.15360 −0.448 0.65434
Diverse −0.56382 0.09082084 0.23514 −2.398 0.01649
Modular −0.82268 0.07010727 0.26515 −3.103 0.00192
Diverse:modular 0.93267 0.10137943 0.38254 2.438 0.01477

Table of analysis on forecasting errors (in Brier scores) for individual (A–B) and aggregated measures (C–D), and as a function of forecast type (A–C) and condition (B–D). Baselines for each factor: consensus, homogeneous, large/non-modular. The effect of final forecasts on individual errors (A) and the effects of composite diversity and the interaction between composite diversity and modularity (D) did not survive a Bonferroni correction. Boldface: p < 0.05; italics: p < 0.10. Tables B–C represent exploratory analyses. Hypotheses in tables A and D were preregistered. All analyses were also repeated with binarized accuracy (Supplementary Tables 1114) and logit link function (Supplementary Table 15). For convenience, all tests refer to two-sided hypotheses and were calculated with the lmerTest package in R63.