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Table 1 Fractional polynomial functions and associated logarithmic HRs for age at diagnosis, tumour size, number of positive nodes, tumour grade and mode of detection by oestrogen receptor status

From: An updated PREDICT breast cancer prognostication and treatment benefit prediction model with independent validation

Prognostic factor

Function

Log HR

P value

ER-negative breast cancer specific mortality

 Age

= age − 56.325

0.00894

0.025

 Tumour size, mm

= (size/100)1/2 − 0.5090

2.109

<0.0001

 Number of positive nodes

=1/[(nodes + 1)/10] 1/2 − 1.72

−0.705

<0.0001

 Grade

= grade

0.259

0.028

ER-positive breast cancer-specific mortality

 Age 1

= (age/10)−2 − 0.0287

34.53

0.001

 Age 2

= (age/10)−2 × ln(age/10) − 0.0510

−34.20

0.001

 Tumour size, mm

= ln(size/100) + 1.5452

0.7531

<0.0001

 Number of positive nodes

= ln((nodes + 1)/10) + 1.3876

0.7069

<0.0001

 Grade

= grade

0.7467

<0.0001

 Screen-detected

screen detected = 1

−0.2763

0.016

Non-breast cancer mortality

 Age

= (age/10)2 − 34.234

0.0698

<0.0001

  1. ER Oestrogen receptor