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. Author manuscript; available in PMC: 2023 Oct 6.
Published in final edited form as: Cancer Epidemiol Biomarkers Prev. 2023 Jun 1;32(6):741–743. doi: 10.1158/1055-9965.EPI-22-1307

Table 2.

Projection of Prostate Cancer Mortality Reduction in a Hypothetical Screening Trial Ignoring and Preserving Subtypes According to their Distribution Among Late-Stage Diagnoses

Box 1: Inputs to Mortality Reduction Projection
Low Grade High Grade Total
(A) Years of follow-up 10
(B) Incidence Hazard 0.005
(C) Distribution of Cases
 Early Stage 66% 13% 80%
 Late Stage 8% 13% 20%
 Total 74% 26% 100%
(D) Mortality Hazard
 Early Stage 0.017 0.087 0.026
 Late Stage 0.161 0.258 0.209
 Total 0.026 0.138 0.045
Box 2: Mortality Reduction Projection
Low Grade High Grade Total
(E) Stage Shift Multiplier 0.399 0.292 0.437
(F) Stage Shift 11% 19% 30%
Mortality Reduction
(G)  Projected Ignoring Grade 13%
(H)  Projected Preserving Grade 5% 5% 10%
(I)  Absolute Difference +3%
(J)  Relative Difference +31%

(A) Years of follow-up for hypothetical trial

(B) Incidence hazard of prostate cancer estimated from SEER (9 registries, Nov 2004 submission) for men ages 50–59 years in 1980–1984

(C) Distribution of cases from SEER for men diagnosed ages 50–59 years in 1980–1984

(D) Hazard of mortality following diagnosis, derived from SEER 10-year survival rates, assuming a constant hazard of mortality.

(E) Stage-shift multipliers calculated as in Owens et al. [5], see formulas G and H in that text. The inputs to these values are the length of follow-up (A), overall incidence rate of the disease (B), the rates at which the disease is diagnosed in each stage (C), and stage-specific survival rates (D). The calculation is performed with all grades combined, and then separately by grade using the corresponding inputs. This value is used below to convert a percent reduction in late-stage disease (F) to a percent reduction in disease-specific mortality (G, H).

(F) Percent reduction in late-stage cases. Hypothetical value of 30% in screening arm, allocated between grades proportional to late-stage case mix (C).

(G) = (E) × (F) in total

(H) = (E) × (F) for each grade separately and summed across grades

(I) and (J) Absolute and relative differences of projection in total compared to projection by grades