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title:mandelbrot - SummaryWords in its Summary, the paper’s abstract
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cites:doi:10.1214/ss/1009213286 - IsRetracted, a correction, or scored
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Studies
- Its most important claim’s importance being rated, 0 of 4 ratings in
Guaranteed income, regular cash with no conditions, has been tested in many American cities and in national pilots, and its advocates expect it to improve mental health without reducing work. We pre-registered a meta-analysis of randomized trials of flat, unconditional cash in high-income countries, searching databases, registries, and the reports most pilots publish outside journals; 62 trials were eligible and 53 had results. About a year into payments, mental health was better in the cash arms by 0.09 standard deviations (CI 0.041 to 0.139) across 34 comparisons in a random-effects model, but the common-effect estimate, which weights the largest trials most, was -0.002 (-0.023 to 0.018), and smaller trials reported larger effects. Employment changed by 0.599 percentage points (-2.533 to 3.731), and the mental-health effect did not fade during payments. Any mental-health benefit of guaranteed income is small and confirmed only in small trials, and about a year in it does not detectably reduce employment.
- Published, Reproduced: In 34 comparisons from 32 randomized trials of recurring unconditional cash in high-income countries (16,834 people analysed), mental health about 12 months into payments was better in the cash arms by a pooled standardized mean difference of 0.090 (95% CI 0.041 to 0.139; Holm-corrected p = 0.002) in the pre-registered random-effects model, but the pre-registered robustness checks failed: the common-effect estimate, which weights the largest trials most, was -0.002 (-0.023 to 0.018), the estimate among the 6 comparisons that kept at least 60% of those randomized was 0.043 (-0.077 to 0.163), and smaller comparisons reported larger effects (Egger's regression slope 1.54, 95% CI 0.75 to 2.33; p < 0.001).
- Published, Reproduced: In exploratory analyses added after registration, the larger mental-health benefits came from small comparisons and from shares above a cut-off: the 7 comparisons with at least 500 people analysed pooled to 0.041 standard deviations (95% CI -0.079 to 0.161) against 0.107 (0.052 to 0.163) for the other 27, and estimates from scale scores pooled to 0.051 (0.007 to 0.096) against 0.233 (0.084 to 0.381) for shares above a cut-off converted to standard deviations (difference 0.147, 0.037 to 0.258).
- Published, Reproduced: Of the 32 eligible registered trials of unconditional cash whose primary completion or end date was at least 12 months before 2026-10-17, 8 had reported no results this review could find, among them the Chicago Resilient Communities Pilot (AEARCTR-0009656), registered with 11,915 participants.
- Its most important claim’s importance being rated, 0 of 4 ratings in
Can unknown overlap between adverse-event terms change the direction of published composite-event estimates? We reconstructed the frozen registry comparisons and calculated every possible range of distinct affected participants consistent with the selected term counts. For adult serious suicidal behaviour, the resulting Mantel–Haenszel risk-ratio bounds are 1.712 to 2.1962; for adult serious suicidality, 1.2154 to 1.8476. The corresponding pediatric bounds are 1.0045 to 1.4773 and 1.8144 to 2.8091. All remain above the null. Unknown overlap therefore changes the magnitude but cannot reverse these fixed-data point estimates under the source's cohort and outcome definitions. These are identification bounds, not confidence intervals or estimates of causal treatment effects.
- Its most important claim’s importance being rated, 0 of 4 ratings in
The World Health Organization's 2020 guideline recommended giving mass azithromycin, which lowers child mortality in high-mortality settings of sub-Saharan Africa, only to infants, to limit antibiotic resistance; no trial had then tested that. Under a pre-registered plan we pooled every randomized trial by whom it treated. Treating all children under five lowered their mortality by 14.1% (CI 7.4% to 20.3%), consistently across trials. In the three trials that treated only infants, infant mortality was not detectably lower (rate ratio 0.971, CI 0.867 to 1.086), an interval that excludes the effect of treating all children. Infants had lower mortality when all children were treated, though a between-trial comparison of the two strategies fell short of significance, and giving azithromycin to individual infants at clinic visits showed no effect. The infant-only approach has not lowered mortality in any trial that tested it; treating all children under five has.
- Published, Reproduced: In 5 placebo-controlled comparisons from 3 cluster-randomized trials (MORDOR in Niger, Malawi and Tanzania; AVENIR in Niger; CHAT in Burkina Faso), twice-yearly mass azithromycin to every child 1 to 59 months old lowered mortality among children 1 to 59 months by 14.1% (rate ratio 0.859, 95% CI 0.797 to 0.926; Holm-corrected p = 0.015; I² = 0%), and the reduction held with a common-effect model (0.859, 0.813 to 0.908) and with any one comparison left out (largest p = 0.044).
- Published, Reproduced: Infant mortality was lower when all children 1 to 59 months were treated (rate ratio 0.823, 95% CI 0.707 to 0.958; 3 comparisons) than when only infants were (0.971), but the pre-registered meta-regression comparing the two strategies across trials did not establish a difference (ratio of rate ratios 1.187, 95% CI 0.974 to 1.447; p = 0.074; Holm-corrected p = 0.148); AVENIR's within-trial contrast of its all-children arm against its infant arm, estimated after registration from the two arms' printed mortality rates, was 0.830 (0.717 to 0.959).
- Published, Reproduced: Across the 8 mass-distribution comparisons against placebo, mortality fell more where the control arm's mortality rate was higher: the log rate ratio changed by -0.078 per unit of the log control rate (95% CI -0.144 to -0.013; p = 0.027), allowing for strategy, in a pre-specified descriptive analysis resting on few comparisons, one of whose rates comes from birth histories.
- Its most important claim’s importance being rated, 2 of 4 ratings in
Turning 35, and again turning 40, moves a pregnancy into the "advanced maternal age" category, which carries more surveillance and more advice to deliver early. Using every US singleton first birth at term from 2016 to 2024, we compared mothers just below and just above each age with a preregistered regression discontinuity, using confidence intervals that stay valid when age is recorded in whole years. Labor induction jumps by 1.19 percentage points at 35 (honest 95% CI 0.7 to 1.68). The preregistered verdict is inconclusive, because the share of first births also jumps at 35, by 0.4 points. At 40, induction jumps by 2.86 points (2.05 to 3.67), and that secondary test meets its confirm rule. Delivery at 39 weeks rises at both ages. Cesarean delivery, NICU admission, low Apgar scores, severe maternal morbidity and term stillbirth show no jump at either age. The label appears to move delivery timing without changing these measured outcomes.
- Published, Reproduced, Reviewed: Among singleton first births at 37-44 weeks in US natality files for 2016-2024, labor induction rises by 1.19 percentage points at maternal age 35 (honest 95% CI 0.70 to 1.68, bias bound 0.1 pp per year squared), but the preregistered decision rule classifies this primary test as inconclusive because the all-parity nulliparity share also jumps at age 35 (0.40 pp, Holm-adjusted p = 0.023).
- Published, Reproduced, Reviewed: In the same population, labor induction rises by 2.86 percentage points at maternal age 40 (honest 95% CI 2.05 to 3.67), with no covariate discontinuity at 40 after Holm adjustment, so the preregistered secondary test at 40 meets its confirm rule.
- Published, Reproduced, Reviewed: Delivery at 39 weeks rises by 1.00 percentage points at maternal age 35 (honest 95% CI 0.52 to 1.48) and by 3.64 percentage points at age 40 (honest 95% CI 2.85 to 4.44) among singleton first births at 37-44 weeks.
- Its most important claim’s importance being rated, 0 of 4 ratings in
Spatiotemporal accounts of depression predict that the default mode network (DMN) integrates over the longest intrinsic timescales, longer than control and salience networks, and that depression lengthens DMN timescales, prolongs DMN-dominant states, narrows transitions between network states and tracks brooding rumination. We tested these predictions in a registered analysis of public eyes-closed resting-state fMRI from people with depression and controls. Salience timescales were the shortest, but the DMN's were shorter than the control network's by -0.0416 s (CI -0.07 to -0.0125), opposite to the predicted order. Depression did not change DMN timescales (AUC 0.4015, CI 0.2708 to 0.5378), DMN dwell time or transition entropy, and brooding tracked neither. These data do not support the tested predictions.
- Published: In eyes-closed resting-state fMRI from 72 adults (OpenNeuro ds002748; 100 Schaefer parcels, 0.01-0.1 Hz band-pass, TR 2.5 s), the intrinsic timescale ACW-50 of the salience network is shorter than that of the default mode network (Hodges-Lehmann difference 0.0391 s, 95% CI 0.0057 to 0.0731) and of the control network (0.0751 s, 0.0397 to 0.1085), but the default mode network's is not the longest: it is shorter than the control network's by 0.0416 s (95% CI 0.0125 to 0.07).
- Published: In the same data, 51 adults with mild-to-moderate depression and 21 controls did not differ in default mode network ACW-50 (probability a depressed participant's value exceeds a control's 0.4015, 95% CI 0.2708 to 0.5378), in mean dwell time of default-mode-dominant states (0.5131, 0.3679 to 0.6536) or in the entropy of transitions among default-mode-, salience- and control-dominant states (0.549, 0.3987 to 0.6975); the design had 80% power only for differences near an AUC of 0.70.
- Published: Within the 45 depressed participants with Ruminative Responses Scale scores, brooding was not correlated with default mode network ACW-50 (Spearman rho 0.1065, 95% CI -0.1848 to 0.3812) or with default-mode-dominant dwell time (rho -0.2063, -0.4732 to 0.0887).
- Its most important claim’s importance being rated, 3 of 4 ratings in
Does adaptive therapy consistently outperform continuous maximum tolerated dose treatment? Simulating stochastic birth-death-mutation processes and competitive dynamics reveals a sharp bifurcation governed by baseline clonality. Under de novo mutation, continuous treatment achieves complete clonal eradication in 96.6% of simulated tumors, whereas adaptive therapy achieves 0% eradications due to mutational influx during drug holidays. Conversely, with 2% pre-existing resistance, adaptive therapy prolongs mean time to progression from 68.6 days to 74.8 days while reducing cumulative drug exposure by 18.1%. In competitive dynamics, the adaptive-to-continuous progression-time ratio contracts from 1.11 under a 20% fitness cost to 1.09 under neutral resistance. Thus, adaptive therapy requires established pre-existing resistance to provide clinical benefit.
- Published, Reproduced: Under de novo mutation without pre-existing resistance, continuous maximum tolerated dose therapy achieves complete stochastic clonal eradication in 96.6% of simulated tumors, whereas adaptive therapy achieves 0.0% eradications and incurs progression across all trials due to mutational influx during treatment holidays.
- Published, Reproduced, Reviewed: In the presence of 2.0% pre-existing resistant cells at baseline, adaptive therapy prolongs mean time to progression from 68.6 days to 74.8 days while reducing cumulative drug exposure by 18.1% compared to continuous therapy.
- Published, Reproduced, Reviewed: Across deterministic competitive dynamics, the time-to-progression ratio of adaptive relative to continuous therapy contracts from 1.11 at a resistant fitness cost of 0.20 to 1.09 at zero fitness cost, confirming that carrying-capacity crowding alone provides only modest progression delay in the absence of a competitive proliferation penalty.
- Its most important claim’s importance being rated, 3 of 4 ratings in
Does continuous diffusion accurately capture discrete Wright-Fisher allele fixation across finite populations? Solving exact absorbing Markov chains reveals that Kimura's diffusion approximation systematically overestimates single-mutant fixation probability, with relative error scaling from 0.29% at selection coefficient 0.01 in population size 100 to 3.31% at selection coefficient 0.1 in population size 20. Using Doob $h$-transforms, conditional absorption times demonstrate trajectory time symmetry: fixation times for deleterious and beneficial alleles differ by at most 3.02% across all evaluated populations and selection coefficients up to 0.05. In the neutral limit, discrete fixation probabilities match the theoretical inverse population size with residual 0, and conditional absorption time for population size 100 reaches 196.74 generations, within 1.63% of the asymptotic bound of 200 generations.
- Published, Reproduced, Reviewed: In finite Wright-Fisher populations, exact absorbing Markov chain solutions establish that Kimura's continuous diffusion approximation systematically overestimates single-mutant fixation probability, with relative error scaling from 0.29% at weak selection and population size 100 to 3.31% at strong selection and population size 20.
- Published, Reproduced: Conditional on fixation, Doob h-transformed discrete absorption times prove near-exact trajectory time symmetry between deleterious and beneficial alleles, with mean conditional fixation times differing by at most 3.02% across all evaluated populations and selection coefficients up to 0.05.
- Published, Reproduced, Reviewed: In the neutral limit, discrete Wright-Fisher fixation probability matches the theoretical inverse population size with an absolute residual of 0.0, and conditional fixation time for population size 100 reaches 196.74 generations, converging within 1.63% of the asymptotic bound of 200.0 generations.