Bibliographic record
Abstract
Dear Sir, The paper by Gotzsche and Jorgensen1 contains a number of inaccuracies and omissions in its criticism of my work and that of my colleagues.2 Firstly, Gotzsche and Jorgensen take exception to the quoted 50% improvement in breast cancer survival in screen-detected cancers. They omit to mention that the approximate 50% improvement is after correction for lead time and length bias – before correction, the figure was a 70% improvement.3,4 Secondly, they claim that the 28% reduction in breast cancer mortality in England in the screened ages compared to other ages did not occur. They are mistaken. Table 1 shows breast cancer mortality by epoch in ages 50–69 and in all other age groups. While mortality rose by 2% in the latest period compared to the earliest for all other age groups, it fell by 27% in the age group 50–69. The relative risk of breast cancer mortality is therefore: Table 1 Breast cancer mortality in England by age group and epoch That, is a 28% reduction compared to other age groups. In the published analysis, the estimate was age-adjusted, but I give the crude analysis here so that readers can see where the estimate comes from. Gotzsche and Jorgensen's criticisms are particularly error-prone on the subject of over-diagnosis. It might be illuminating to contrast our approach2 with that of Jorgensen and Gotzsche.5 Both teams attempted to estimate overdiagnosis by calculation of expected incidence of breast cancer in the screening epoch based on trends observed in the pre-screening epoch. However, the methods differed at each stage, as follows: Data Sources: Duffy et al. used data on numbers of cases and populations at risk in England from Cancer Registry data.2 Jorgensen and Gotzsche estimated rates for England and Wales from a published graph. Changes in Incidence Independent of Screening: Duffy et al. took full account of these changes by correcting for the 7% increase above expected values at ages below the target age group for screening.2 Jorgensen and Gotzsche failed to do so.5 Method of analysis: Duffy et al. used poisson regression, as is the correct procedure for rate data.2,6 Jorgensen and Gotzsche used linear regression, which is incorrect.5 Data selection: Duffy et al. used all pre-screening and screening epoch data available.2 Jorgensen and Gotzsche excluded the three years of highest incidence in the pre-screening period, and only included the year of highest incidence in their screening epoch data, 1999.5 This inflated their estimate of overdiagnosis. Adjustment for lead time: Duffy et al. subtracted the deficit in incidence above the screening age from the excess observed in screening ages.2 Jorgensen and Gotzsche failed to do so.5 To be fair, they claimed not to observe a deficit. This is partly because in 1999 too few women above the screening age range had been screened in the past, but also because of their failure to fully adjust for changes in incidence independent of screening, as noted in point 2 above. Ductal Carcinoma in situ (DCIS): In the absence of data, Duffy et al. restricted estimation to invasive disease, although in the same paper, they estimated overdiagnosis including DCIS in a randomized trial.2 Like Duffy et al, Jorgensen and Gotzsche had no data on DCIS in the UK, so they assumed a result which was not observed.5 From the above, it can be seen that our modest estimate of overdiagnosis has more reliability than the implausibly high estimate of Jorgensen and Gotzsche. Gotzsche and Jorgensen make a number of further errors in defence of their estimate, including: failure to acknowledge that in the 1990's in the age range for screening, a full paper (not an abstract as stated by Gotzsche and Jorgensen),7 has shown that around 40% of tumours were screen-detected; citation of figures from 2006 to justify their estimate for 1999; and misinterpretation of those figures from 2006, as pointed out previously.8 More importantly, one should not lose sight of the benefit of the NHS Breast Screening Programme and the fact that the only randomized trial with more than 25 years of follow-up, shows that the quoted benefit of one breast cancer death prevented for every 400 women screened is accurate and may even underestimate the benefit.9
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.184 | 0.550 |
| Meta-epidemiology (narrow) | 0.003 | 0.002 |
| Meta-epidemiology (broad) | 0.005 | 0.003 |
| Bibliometrics | 0.011 | 0.011 |
| Science and technology studies | 0.006 | 0.046 |
| Scholarly communication | 0.016 | 0.015 |
| Open science | 0.013 | 0.010 |
| Research integrity | 0.029 | 0.058 |
| Insufficient payload (model declined to judge) | 0.008 | 0.010 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".