The sample size should be considered carefully when designing a competing-risks analysis. If the proportion of competing events is greater than 10%, a Cox regression analysis can be severely affected by bias(18) that overestimates the event incidence and poorly estimates the HRs. The present study included 1205 DOC patients, representing almost half of the deaths, and so we used a competing-risks model that could avoid this bias to obtain more accurate prognostic factors for thyroid carcinoma. Competing-risks regression approaches focus on two definitions of hazard: SD and CS. The SD model is useful for predicting an individual’s risk or when allocating resources, while the CS model may be better suited for studying the etiology of diseases(19). Since these two models have their own unique underlying mechanisms, it is necessary to provide the results obtained from SD and CS models simultaneously. Koller et al.(20) proposed that a SD model tends to estimate the disease risk and prognosis, which is more suitable for establishing a clinical prediction model and risk scores. It is obvious that the HRs obtained in the present SD model were the most valuable, since this model focuses on the direct assessment of actual risks and therefore also the prognosis and medical decision-making.
The Cox regression analysis showed that there was no significant difference between tumor sizes of > 1 and ≤1 cm, and that being black was a risk factor in the thyroid carcinoma patients. However, the competing-risks model produced the opposite results. There is a considerable amount of evidence that tumor size is an important prognostic factor for thyroid carcinoma(21). Meanwhile, the effect of race in predicting thyroid cancer death was inconclusive in our competing-risks model. In could be that the Cox analysis overestimated the HR value for race, resulting in a false-positive result.
All three methods applied in this study indicated that older age, FTC, MTC, and ATC (all vs PTC), AJCC stages II, III, and IV (all vs stage I), liver metastasis, and lung metastasis were detrimental prognostic factors. It is well known that age > 45 years, extrathyroidal invasion, distant metastasis, large tumor, vascular invasion, and poor differentiated histology are detrimental prognostic factors(4, 22, 23).
We found that the female-specific mortality was lower than the male-specific mortality in all three methods, even though the incidence rate is higher in females than males(24). There are conflicting reports on the effect of sex on mortality. Ito and Miyauchi(25) and Lin et al.(26) found that a larger proportion of male than female patients died of thyroid cancer, whereas Nguyen et al.(27) found the opposite result. Bray et al.(24) reported that the mortality rates were similar in the sexes, based on global cancer statistics published in 2018. It is possible that any effect of sex on mortality is related to geography and race. More evidence is needed on the effect of sex on thyroid-cancer-specific death.
All three methods utilized in our study indicated that having the regional lymph nodes removed and examined by the pathologist was a significant protective factor for thyroid-cancer-specific death. There is no report in the literature on whether having regional lymph nodes examined affects the prognosis of thyroid cancer, while there is substantial evidence that local lymph node metastasis is a significant risk factor for thyroid-cancer-related death(28–32). This means that removing and examining the lymph nodes during surgery can improve the prognosis. As described in Shi et al.(33) and Merrill and Johnson(34), we also found that being married has a positive effect on the prognosis of thyroid cancer in all three analysis methods.
The standard treatment for thyroid cancer is surgery followed by radioactive iodine or observation. Chemotherapy is only considered if the patient has any of the following conditions: (1) clinically significant disease and evidence of disease progression, (2) a symptomatic tumor burden that cannot be managed with localized treatments or other medical treatment, or (3) the tumor threatens vital structures and cannot be managed with localized treatments(35). Still, the effects of chemotherapy have not been proven(36–39). We found that receiving surgery and radiation therapy were protective factors, while chemotherapy was a risk factor for this disease.
While the above-mentioned factors have been demonstrated to be independent factors for the prognosis of thyroid cancer in three analysis methods, compared to the SD model, Cox regression overrated the prognostic effect of almost all of the variables we investigated, including age, sex, marital state, surgery status, radiation status, and metastasis, as also described by Pintilie(18).