Table 4.
Performance of our final predictors in predicting breast cancer using Fine and Gray Competing Risk Regression in Nurses’ Health Study stratified by age.a, b
| Breast cancer risk factors | NHS Ages 55–74 (n=53,362) |
NHS Ages 75+ (n=19,704) |
||||
|---|---|---|---|---|---|---|
| Beta | HR | p-value | Beta | HR | p-value | |
| Age at study entryb | 0.15 | 0.92 | ||||
| 55–59 | 0.00 | 1.00 | - | - | - | - |
| 60–64 | 0.14 | 1.15 | 0.14 | - | - | - |
| 65–69 | 0.20 | 1.22 | 0.04 | - | - | - |
| 70–74 | 0.22 | 1.25 | 0.03 | - | - | - |
| 75–80 | - | - | - | 0.00 | 1.00 | - |
| 80+ | - | - | - | −0.01 | 0.99 | 0.92 |
| Postmenopausal hormone use | <0.0001 | 0.002 | ||||
| never user | 0.00 | 1.00 | - | 0.00 | 1.00 | - |
| past E-alone user, <5 years | −0.06 | 0.95 | 0.66 | 0.07 | 1.07 | 0.68 |
| past E-alone user, 5+ years | −0.13 | 0.88 | 0.19 | 0.06 | 1.06 | 0.69 |
| past E+P user, <5 years | −0.01 | 0.99 | 0.92 | −0.04 | 0.96 | 0.82 |
| past E+P user, 5+ years | 0.12 | 1.13 | 0.14 | 0.10 | 1.10 | 0.57 |
| current E-alone user | 0.15 | 1.16 | 0.12 | 0.56 | 1.75 | 0.0006 |
| current E+P user | 0.80 | 2.22 | <.0001 | 0.91 | 2.49 | 0.003 |
| unknown type of use | 0.01 | 1.01 | 0.91 | −0.03 | 0.97 | 0.85 |
|
Number of 1st degree relatives with history of breast cancer and age at diagnosis |
<0.0001 | <0.0001 | ||||
| None | 0.00 | 1.00 | - | 0.00 | 1.00 | - |
| 1, diagnosed age<50 | 0.38 | 1.46 | 0.0006 | 0.48 | 1.62 | 0.008 |
| 1, diagnosed age >50/unknown | 0.29 | 1.34 | <.0001 | 0.17 | 1.19 | 0.19 |
| 2+, at least 1 diagnosed age <50 | 0.92 | 2.52 | <.0001 | 0.91 | 2.49 | 0.0004 |
| 2+, 2+ diagnosed age>50/unknown | 0.53 | 1.69 | 0.02 | 0.78 | 2.18 | 0.001 |
| History of breast biopsy | <0.0001 | 0.05 | ||||
| 0 | 0.00 | 1.00 | - | 0.00 | 1.00 | - |
| 1 | 0.38 | 1.46 | <.0001 | 0.17 | 1.18 | 0.11 |
| 2+ | 0.46 | 1.59 | <.0001 | 0.48 | 1.62 | 0.04 |
|
Highest Body Mass Index (BMI) in past 10 years |
0.0001 | 0.004 | ||||
| <20 kg/m2 | −0.25 | 0.78 | 0.22 | −1.05 | 0.35 | 0.01 |
| 20–24 kg/m2 | 0.00 | 1.00 | - | 0.00 | 1.00 | - |
| 25–29 kg/m2 | 0.17 | 1.18 | 0.009 | 0.24 | 1.28 | 0.02 |
| 30+ kg/m2 | 0.30 | 1.35 | <.0001 | 0.24 | 1.27 | 0.07 |
| Unknown | 0.20 | 1.22 | 0.78 | 0.95 | 2.59 | 0.19 |
| Age at menopause (years) | 0.003 | <0.0001 | ||||
| <45 | −0.36 | 0.70 | 0.0007 | −0.44 | 0.64 | 0.05 |
| 45–49 | 0.00 | 1.00 | - | 0.00 | 1.00 | - |
| 50–54 | 0.01 | 1.01 | 0.91 | 0.22 | 1.24 | 0.06 |
| 55+ | 0.08 | 1.08 | 0.39 | 0.48 | 1.61 | 0.006 |
| Unknown | −0.19 | 0.83 | 0.45 | −9.49 | 0 | <.0001 |
| Age at first birth (years) and parity | 0.01 | 0.68 | ||||
| Nulliparous | 0.20 | 1.23 | 0.09 | −0.07 | 0.93 | 0.80 |
| <25, 1–2 children/unknown | 0.00 | 1.00 | - | 0.00 | 1.00 | - |
| <25, 3+ children | −0.10 | 0.90 | 0.18 | 0.24 | 1.28 | 0.19 |
| 25–29, 1–2 children/unknown | 0.01 | 1.01 | 0.92 | 0.24 | 1.27 | 0.25 |
| 25–29, 3+ children | −0.08 | 0.92 | 0.37 | 0.12 | 1.13 | 0.52 |
| 30+, 1–2 children/unknown | 0.24 | 1.28 | 0.04 | 0.33 | 1.40 | 0.14 |
| 30+, 3+ children | 0.20 | 1.23 | 0.26 | 0.21 | 1.24 | 0.40 |
| unknown age at first birth | −0.12 | 0.89 | 0.57 | 0.23 | 1.26 | 0.55 |
|
Average alcohol use per day (highest use in past 10 years) |
<0.0001 | 0.89 | ||||
| 0 gm/day | 0.00 | 1.00 | - | 0.00 | 1.00 | - |
| 1–4.9 gm/day | 0.02 | 1.02 | 0.73 | 0.06 | 1.06 | 0.65 |
| 5–14.9 gm/day | 0.18 | 1.20 | 0.02 | 0.06 | 1.06 | 0.66 |
| 15+ gm/day | 0.34 | 1.41 | <.0001 | 0.0002 | 1 | 1.00 |
| Unknown | 0.01 | 1.01 | 0.94 | 0.22 | 1.25 | 0.34 |
| Cigarette use | 0.027 | 0.90 | ||||
| Never | 0.00 | 1.00 | - | 0.00 | 1.00 | - |
| Past | −0.08 | 0.92 | 0.14 | −0.05 | 0.95 | 0.61 |
| Current | 0.17 | 1.19 | 0.06 | −0.12 | 0.89 | 0.63 |
| Unknown | −0.93 | 0.40 | 0.36 | −0.43 | 0.65 | 0.67 |
| Mammogram in past 2 years‡ | 0.68 | 0.06 | ||||
| No | 0.00 | 1.00 | - | 0.00 | 1.00 | - |
| Yes | −0.01 | 0.99 | 0.92 | 0.26 | 1.30 | 0.07 |
| Unknown | 0.12 | 1.12 | 0.48 | −0.23 | 0.79 | 0.48 |
| Comorbidityb | ||||||
| Limited in moderate daily activity | 0.02 | 0.001 | ||||
| not at all limited | 0.00 | 1.00 | - | 0.00 | 1.00 | - |
| limited | −0.10 | 0.91 | 0.10 | −0.34 | 0.71 | 0.0002 |
| Unknown | −0.40 | 0.67 | 0.01 | −0.39 | 0.68 | 0.27 |
| Diabetes | 0.06 | 1.06 | 0.48 | 0.24 | 1.27 | 0.07 |
| Myocardial infarction | −0.16 | 0.85 | 0.45 | −0.50 | 0.61 | 0.09 |
| Stroke | −0.25 | 0.78 | 0.31 | −0.44 | 0.65 | 0.14 |
| Emphysema | −0.10 | 0.90 | 0.34 | −0.06 | 0.94 | 0.71 |
| Congestive heart failure | 0.11 | 1.12 | 0.55 | −0.18 | 0.83 | 0.41 |
| c-statistics (95% CI) | 0.62 (0.60–0.63) | 0.64 (0.62–0.66) | ||||
| AIC | 34383.02 | 9845.98 | ||||
Akaike Information Criterion (AIC) -is a function of the log-likelihood that adds a penalty of 2 for each additional factor.
Fine and Gray competing risk regression (CRR) allows for estimating the probability of breast cancer conditional on competing risk-free survival. Specifically, CRR assigns a weight less than one to participants that have experienced a competing risk event or are loss to follow up and these weights decline with increasing time from the competing event and the event of interest.