This study was conducted in accordance with the principles of the Declaration of Helsinki. The research protocol was reviewed and approved by the Medical Ethics Committee of Jiujiang First People’s Hospital (Approval No.: JJSDYRMYY-YXLL-2026-058, dated May 18th, 2026). As this was a retrospective analysis of anonymized clinical data with no direct patient intervention, the ethics committee waived the requirement for written informed consent. All patient data were de-identified prior to analysis, and the research team committed to protecting patient confidentiality throughout the study.
Research subjects
This study retrospectively included patients who underwent thyroidectomy and concurrent central lymph node dissection at our institution from January 2022 to December 2023. During this period, a total of 412 patients underwent thyroid surgery for various thyroid diseases. Among these, 289 had a postoperative pathological diagnosis of thyroid carcinoma (including papillary, follicular, medullary, and undifferentiated types). After excluding non-papillary thyroid carcinoma subtypes (n = 75), 214 patients with PTC comprised the pre-matching cohort. Following 1:1 propensity score matching, 98 matched pairs (196 patients) were retained for the matched-cohort analyses. The patient selection and matching process is illustrated in Figure 1.
All included patients underwent their first thyroid surgery without any prior invasive procedures other than fine-needle aspiration biopsy, and the biopsy results did not affect inclusion. All patients underwent preoperative ultrasound-guided fine-needle aspiration biopsy (US-FNAB) of the dominant or most suspicious thyroid nodule(s) prior to surgery. FNAB was performed using a 22- to 25-gauge needle under real-time ultrasound guidance, with at least two passes per nodule to obtain adequate cellular material19,20. For patients with multinodular goiter, the nodule with the most suspicious ultrasound features—including microcalcifications, irregular margins, hypoechogenicity, taller-than-wide shape, or capsular contact—was selected for FNAB; additional nodules were biopsied if they exhibited suspicious features independent of the dominant nodule21. FNAB cytology was reported according to The Bethesda System for Reporting Thyroid Cytopathology (TBSRTC), with categories ranging from Bethesda II (benign) to Bethesda VI (malignant)22. Surgical intervention was recommended for patients with cytology diagnostic of or suspicious for malignancy (Bethesda V–VI), while decisions for Bethesda III–IV (indeterminate) lesions were made on a case-by-case basis, incorporating ultrasound features, nodule size, and patient preference. The final surgical plan—including the extent of thyroidectomy and the need for central lymph node dissection—was determined by the multidisciplinary team based on preoperative cytology, ultrasound findings, and clinical evaluation, with intraoperative frozen section used selectively to guide the extent of resection when cytology was indeterminate. Patients were excluded if they had a history of previous thyroid surgery or neck radiotherapy, concurrent other types of thyroid malignancies or head and neck tumors, or preoperative imaging suggesting lateral cervical lymph node or distant metastasis. All cases underwent postoperative paraffin embedding and hematoxylin-eosin (HE) staining and were independently diagnosed as PTC by two senior pathologists. The pathological diagnosis was based on the 2017 World Health Organization (WHO) classification of thyroid tumors, with core diagnostic features including a typical papillary structure, glassy cell nuclei, nuclear overlap, nuclear grooves, and intranuclear pseudonucleoli23. CLNM was defined as the presence of PTC cell nests or single tumor cell infiltration in lymph node tissue from the central (Ⅵ) region—specifically, the medial part of the recurrent laryngeal nerve, from the upper edge of the thyrohyoid muscle to the upper edge of the innominate artery. Metastatic foci were classified as micro-metastasis (≤2 mm) or macro-metastasis (>2 mm)24,25. The final CLNM gold standard for this study was postoperative pathology; ultrasound was used only as a preoperative assessment tool and not for grouping26,27. Preoperative high-resolution neck ultrasound examinations (probe frequency 7.5–12 MHz) were performed by board-certified radiologists with over ten years of experience in thyroid ultrasound as part of routine clinical care, with a single radiologist performing and reporting each examination. For the purposes of this retrospective study, all stored ultrasound images were independently re-reviewed by two senior radiologists (each with >10 years of thyroid ultrasound experience) who were blinded to the patients’clinical information and pathological outcomes. Inter-observer disagreements were resolved by consensus discussion to reach a final decision on each ultrasound feature. This dual-review approach was implemented specifically for the research data collection phase to minimize interpretation bias and enhance the reliability of preoperative ultrasound feature extraction, consistent with methodological practices in similar retrospective thyroid ultrasound studies28,29. The final CLNM gold standard for this study was postoperative pathology; ultrasound was used only as a preoperative assessment tool and not for grouping. Ultrasound criteria suggestive of metastatic central lymph nodes included short diameter >5 mm, short-to-long diameter ratio <2, absence or eccentric thickening of the lymph node hilum, presence of microcalcification (point-like hyperechoic foci ≤1 mm), cystic change, or peripheral blood flow signal (Adler grade ≥2). As part of routine preoperative evaluation for all patients undergoing thyroid surgery at our institution, serum thyroid function and autoantibody panels were measured in the fasting morning state. TgAb and TPOAb were included in this panel based on established clinical guidelines, which recommend testing for thyroid autoantibodies in patients with thyroid nodules, particularly when serum TSH is elevated, to assess for underlying autoimmune thyroid disease such as Hashimoto’s thyroiditis30,31. Given that Hashimoto’s thyroiditis is frequently associated with papillary thyroid carcinoma and may influence tumor behavior32, preoperative TgAb and TPOAb status provides valuable information for both diagnostic evaluation and prognostic stratification33. Additionally, preoperative TgAb measurement establishes a baseline for postoperative thyroglobulin monitoring, as TgAb interference can affect the accuracy of Tg assays in follow-up surveillance34. Serum TSH, TgAb, and TPOAb levels were measured using chemiluminescence methods, with results referenced to our laboratory’s normal ranges (TSH: 0.35–4.94µ IU/mL; TgAb positive: >115 IU/mL; TPOAb positive: >34 IU/mL).
After applying the inclusion and exclusion criteria, 214 eligible patients comprised the pre-matching cohort. Following 1:1 propensity score matching (PSM), 98 matched pairs (196 patients), comprising 98 CLNM-positive and 98 CLNM-negative patients, were retained for the matched-cohort analyses. No patients were lost to follow-up for the primary outcome, as all pathological data were obtained from the same hospitalization episode.
Exclusion and inclusion criteria
Inclusion criteria35,36: age ≥ 18 years; underwent high-resolution thyroid and cervical lymph node ultrasound examinations at the study hospital before surgery, with complete ultrasound images and reports; no preoperative imaging (ultrasound or computed tomography) findings suggestive of lateral cervical lymph node metastasis (levels II–V) or distant metastasis, as such patients would require lateral neck dissection beyond the central compartment, potentially confounding the analysis of predictors of central compartment metastasis; and complete clinicopathological and ultrasound data, with no missing key variables.
Exclusion criteria35,37,38,39: other types of malignant thyroid tumors, such as medullary carcinoma, undifferentiated carcinoma, or follicular carcinoma, or other tumors in the head and neck region; a history of thyroid surgery or neck radiotherapy; distant metastasis or lateral cervical lymph node metastasis detected before surgery that required an expanded resection scope; pregnancy or lactation; and suboptimal ultrasound or pathological image quality that precluded accurate diagnosis.
Research methodology
All ultrasound examinations in this study were conducted in the ultrasound department of our hospital. A color Doppler ultrasound diagnostic system equipped with a high-frequency linear array probe (frequency range 6–15 MHz) was used for all preoperative examinations, with the center frequency preset at 7.5–12 MHz to obtain optimal resolution for superficial tissues. All subjects were in the supine position, with pillows placed behind the neck and both shoulders to allow the neck to be moderately extended and fully expose the anterior cervical region. After applying an adequate amount of ultrasound coupling agent on the contact surface of the probe, the probe was gently placed on the skin surface of the anterior neck, and extra pressure was avoided to prevent compression of the thyroid tissue, which could result in image distortion. The scanning sequence was as follows: cross-sectional scanning and longitudinal scanning: during cross-sectional scanning, the probe was moved from the upper pole of the thyroid from top to bottom, observing the left lobe, right lobe and isthmus of the thyroid until the lower pole disappeared; during longitudinal scanning, the probe was made to perform a series of longitudinal sections along the long axis of the thyroid from the inner side to the outer side, covering the entire thyroid lobe. For each nodule in the thyroid, the maximum diameter was measured (taking the largest value among three measurements, accurate to 0.1 mm), and the following morphological characteristics were recorded: multifocality (distinguishing single lesion from two or more lesions), tumor location (whether contacting or adhering to the capsule, defined as the tumor edge being close to or exceeding the thyroid capsule line; and whether located in the isthmus), boundary (clear or unclear), shape (regular or irregular), internal echo (low echo, equal echo or high echo, with the surrounding normal thyroid tissue as a reference), and calcification type (no calcification, microcalcification, i.e., point-like strong echo with a diameter ≤ 1 mm without posterior acoustic shadow, or coarse calcification, i.e., diameter > 1 mm with posterior acoustic shadow or arc-shaped calcification). Under the color Doppler mode, the blood flow signals within and around the nodule were graded according to the Adler semi-quantitative classification method: 0 grade for no blood flow signal, 1 grade for a small amount of blood flow (visible 1–2 point-like or short rod-like blood flow), 2 grade for moderate blood flow (visible 3–4 point-like or one long vessel), 3 grade for abundant blood flow (visible 4 or more point-like or two or more long vessels)26. At the same time, the lymph node conditions in the neck were systematically evaluated, with a focus on the central area (Zone VI) and other lymph nodes in the neck, recording the short diameter (mm), ratio of short to long diameter, presence or absence of lymph node hilum structure or eccentric thickening, presence or absence of microcalcification or cystic change, and blood flow distribution pattern, etc.
All patients had 3–5 mL of peripheral venous blood collected from the elbow vein in the fasting state in the early morning before the operation. The blood was injected into a vacuum blood collection tube without an anticoagulant. It was left at room temperature to stand for 30 min until the blood clots fully contracted. Then, it was centrifuged at 1350 × g for 10 min to separate the serum. Serum TSH levels were quantitatively measured using a fully automatic chemiluminescence immunoassay analyzer with the corresponding chemiluminescence kit, employing a double-antibody sandwich chemiluminescence method. The sensitivity of TSH detection was 0.01 µIU/mL. The reference range of this laboratory was 0.35–4.94 µIU/mL. The intra-assay coefficient of variation was <5%, and the inter-assay coefficient of variation was <8%. TgAb and TPOAb levels were measured using a fully automatic chemiluminescence immunoassay analyzer with the corresponding reagent kits, based on an indirect chemiluminescence method. The positive definition threshold of TgAb was >115 IU/mL, and the positive definition threshold of TPOAb was >34 IU/mL. Quality control samples were tested daily to ensure inter-assay stability.
All the surgeries were performed by the same senior surgical team of the thyroid department of our hospital. The surgical methods were individually decided based on the preoperative ultrasound assessment and the intraoperative frozen pathological results, including thyroid lobectomy + isthmus resection or total thyroidectomy. All the enrolled patients underwent concurrent central region (Zone VI) lymph node dissection. The open surgical approach adopted a low anterior arc-shaped incision (Kocher incision), approximately 4–6 cm in length, which sequentially cut through the skin, subcutaneous tissue, and sternocleidomastoid muscle, and longitudinally separated the strap muscles along the cervical line to expose the thyroid gland. The choice between hemithyroidectomy (unilateral lobectomy with isthmectomy) and total thyroidectomy was individualized based on preoperative FNAB cytology (Bethesda category), tumor size (>4 cm favoring total thyroidectomy), multifocality, presence of capsular invasion on ultrasound, bilateral or contralateral nodules, patient age, and patient preference, in accordance with the 2015 American Thyroid Association guidelines21 and the Chinese guidelines for the diagnosis and treatment of thyroid nodules and differentiated thyroid cancer40. For patients with unilateral, unifocal PTC without high-risk features, hemithyroidectomy was generally preferred; total thyroidectomy was reserved for patients with bilateral disease, multifocal involvement, tumor size >4 cm, extra-thyroidal extension, or clinically involved cervical lymph.
Regarding the extent of central lymph node dissection, all patients underwent at least an ipsilateral central compartment (Level VI) lymph node dissection. For patients with preoperative evidence of bilateral central lymph node metastasis on ultrasound, or those undergoing total thyroidectomy for bilateral disease, bilateral central compartment dissection was performed41. The central compartment dissection boundaries were standardized as follows: superiorly to the hyoid bone, inferiorly to the innominate artery, laterally to the common carotid artery, and posteriorly to the prevertebral fascia, encompassing the pretracheal, paratracheal, and prelaryngeal lymph nodes42,43. Patients with preoperative ultrasound findings suspicious for lateral neck lymph node metastasis (Levels II–V) underwent additional lateral neck dissection; these patients were excluded from the current analysis to maintain a homogeneous cohort focused on central compartment metastasis prediction. During the operation, the recurrent laryngeal nerve was routinely exposed and protected, and the nerve function integrity was confirmed using a nerve monitoring device. Through fine anatomical techniques, the parathyroid glands and their blood supply were preserved in situ, and those that could not be preserved in situ were transplanted autogenously. The scope of the central region dissection was defined as follows: superiorly to the hyoid bone, inferiorly to the upper edge of the innominate artery, laterally to the medial margin of the common carotid artery, and medially to the tracheoesophageal groove44. After complete resection of the thyroid tissue, it is sent to the pathology department. For patients undergoing total thyroidectomy, bilateral central lymph nodes are also dissected. The specimen is immediately placed in 10% neutral formalin fixative after being removed from the body and sent for examination.
The thyroid and lymph node tissue specimens submitted for examination were processed in the pathology department following standardized procedures. After the tissue specimens were fixed in 10% neutral formalin for no less than 48 h, they were routinely dehydrated and embedded in paraffin. During the paraffin embedding process, liquid paraffin (melting point 56–58 °C) was poured into the embedding mold, and the wax-coated tissue blocks were placed flat along the predetermined cutting plane on the bottom of the mold. After the paraffin solidified, the wax blocks were trimmed to retain an appropriate amount of paraffin around the tissue to facilitate sectioning. The wax blocks were sectioned into 4–5 µm thick slices using a fully automatic rotary microtome. The sections were floated in a 40 °C constant temperature water bath to fully flatten them, then transferred to a non-removable glass slide, and placed in a 60 °C drying oven for 30 min to ensure the tissue adhered firmly. The routine HE staining steps include: xylene decolorization (2 times, each 10 min), gradient ethanol rehydration (2 times with 100% ethanol, 2 times with 95% ethanol, 1 time with 80% ethanol, each 3 min), safranin staining (5–10 min), 1% hydrochloric acid ethanol differentiation (a few seconds), tap water re-blotting (10–15 min), eosin staining (1–3 min), gradient ethanol dehydration, xylene clearing, and neutral gum mounting. The pathological diagnosis was independently reviewed and agreed upon by two senior pathologists without knowing the clinical and ultrasound data. The diagnosis of PTC was based on the 2017 WHO classification of thyroid tumors. The typical pathological features include papillary structure, opacified nuclei, nuclear overlap, nuclear grooves, and intranuclear pseudonucleoli. CLNM was defined as the presence of at least one lymph node containing a PTC cell nest or single tumor cell infiltration in the examined lymph nodes of the VI region through pathological examination. The size of the metastatic lesion was classified as micro-metastasis (≤2 mm) or macro-metastasis (>2 mm). In this study, the presence or absence of metastasis (yes/no) was used as the primary outcome variable45,46.
The data extraction was conducted by two independent researchers using standardized data collection forms to retrospectively retrieve data from the hospital’s electronic medical record system and PACS system. The collected data included all the aforementioned clinical and ultrasound indicators. For controversial ultrasound imaging features, a third senior ultrasound physician made the arbitration. The data quality was controlled by combining double data entry verification and logical validation. Variables with a missing rate exceeding 5% were excluded, and a multiple imputation method was used to handle a small number of missing values. All statistical analyses were performed using SPSS.
Observation indicators
The observation indicators of this study were divided into three categories: preoperative clinical indicators, preoperative ultrasound imaging indicators, and postoperative pathological outcome indicators. All indicators were collected and determined based on standardized operating procedures.
Preoperative clinical indicators included age, gender, BMI, preoperative serum TSH, TgAb, and TPOAb. Age was recorded in years and was treated as both a continuous variable (unit: years) and a categorical variable (divided into <55 years and ≥55 years groups based on 55 years). BMI was calculated based on the height (accurate to 0.1 cm) and weight (accurate to 0.1 kg) measured in the preoperative morning fasting state, using the formula of weight divided by the square of height (kg/m2). It was used as both a continuous variable, and stratified analysis was conducted based on the Chinese adult overweight standard at 24 kg/m2. TSH was detected by the chemiluminescence method, and the original value was recorded (unit: mIU/L). The TSH cutoff of 2.5 mIU/L was selected based on multiple lines of evidence. First, several independent studies have identified preoperative serum TSH ≥2.5 mIU/L as an independent predictor of central lymph node metastasis in PTC patients47,48. In a cohort of 162 patients with papillary thyroid microcarcinoma, serum TSH level ≥2.5 mIU/L was shown to be an independent predictor for CLNM in multivariate analysis19. Besler et al. reported that the prevalence of central metastasis was significantly higher in patients with TSH ≥2.5 mIU/L (p = 0.009), and preoperative TSH level was determined as an independent predictive risk factor for central neck metastases (p = 0.012)48. Second, from a biological standpoint, TSH exerts trophic effects on thyroid follicular cells via the TSH receptor pathway; elevated TSH promotes thyroid cell proliferation and may facilitate tumor progression and lymphatic spread49. Third, 2.5 mIU/L represents the upper quartile or median value of the normal TSH reference range (0.35–4.94 mIU/L) in our institutional laboratory and has been used as a clinically meaningful threshold in prior studies from our center. The TSH level was also analyzed as a continuous variable in supplementary analyses to evaluate its dose-response relationship with CLNM. The continuous form was also retained for sensitivity analysis. TgAb and TPOAb were defined as positive when >115 IU/mL and >34 IU/mL, respectively, and were considered negative when lower or equal to the above thresholds.
The preoperative ultrasound imaging indicators were independently evaluated and agreed upon by two senior ultrasound physicians without knowing the pathological results. The following features were extracted. Tumor maximum diameter: Measure the longest diameter of the nodule on the thyroid cross-sectional or longitudinal sectional images, accurate to 0.1 mm, and divide it into two groups: ≤1 cm and >1 cm. Multifocality: Classify the thyroid lesions based on the total number of lesions as single-focal (only one nodule) or multiple-focal (two or more nodules). Tumor location: Assess whether it contacts the thyroid capsule (defined as the nodule edge closely adhering or breaking through the thyroid capsule line, classified as yes or no) and whether it is located in the isthmus (yes or no). Boundary: Classified as a clear boundary (the nodule and the surrounding normal thyroid tissue have a clear demarcation) and an unclear boundary (the demarcation is blurred or serrated, infiltrative). Shape: Classified as regular (the nodule is round, oval, or approximately circular, with smooth edges) and irregular (the nodule is lobulated, spatulate, or angulated). Internal echo: Refer to the echo of the surrounding normal thyroid parenchyma as a reference, classified as hypoechoic (lower than normal parenchyma), isoechoic (approximately normal parenchyma), and hyperechoic (higher than normal parenchyma). Calcification type: Classified as no calcification, microcalcification (point-like strong echo with a diameter ≤1 mm, without posterior acoustic shadowing), and coarse calcification (diameter >1 mm, nodular, sheet-like, or arc-shaped strong echo, often accompanied by posterior acoustic shadowing). Blood flow signal grading: Adopt the Adler semi-quantitative grading method. Observe the internal and peripheral blood flow distribution in the nodule under the color Doppler mode, with 0 grade indicating no blood flow signal, 1 grade indicating a small amount of blood flow (visible 1–2 point-like or short rod-like blood flow), 2 grade indicating moderate blood flow (visible 3–4 point-like or one long vessel), and 3 grade indicating abundant blood flow (visible 4 or more point-like or two or more long vessels).
The key assessment of ultrasound features of cervical lymph nodes focuses on the central region (Zone VI) lymph nodes. The following parameters are recorded: the short diameter of the lymph node (taking the vertical diameter perpendicular to the long axis on the cross-section of the lymph node, accurate to 0.1 mm); the ratio of long diameter to short diameter (the ratio of the long diameter to the short diameter, divided into two categories: ≥2 and <2); the lymph node structure (divided into presence, disappearance or eccentric thickening); whether there are microcalcifications (point-like strong echo) or cystic changes (anechoic area); the blood flow distribution pattern (divided into no blood flow, lymph node type blood flow, peripheral type blood flow or mixed type blood flow). These lymph node features are used as candidate variables in univariate analysis, but the main outcome of this study is based on postoperative pathology as the gold standard, and ultrasound is only used as a preoperative assessment tool.
The postoperative pathological outcome indicators were the dependent variables in this study, namely the status of CLNM. The definition is as follows: The lymph node tissues from the VI area that were sent for examination after surgery were stained with HE. Two senior pathologists conducted a double-blind examination of the slides. If thyroid papillary cancer cell nests or single tumor cell infiltration were found in at least one lymph node, it was determined as CLNM positive; otherwise, it was negative. The number of metastatic lymph nodes and the maximum diameter of the metastatic lesion (divided into micro-metastasis ≤2 mm and macro-metastasis >2 mm) were also recorded. However, the main analysis used binary variables (presence or absence) as the outcome. In addition, the pathological subtype of the primary lesion (classic type, follicular type, high cell type, etc.), tumor size (compared with ultrasound measurement values), multifocality, extracapsular invasion, and extrathyroidal invasion were recorded to assist in grouping and sensitivity analysis. All observation indicators were entered into standardized tables during data extraction. For patients with multiple lesions, the ultrasound indicators were based on the characteristics of the largest lesion.
Sample size calculation
Given the retrospective nature of this study, the sample size was determined based on the available case volume during the study period (January 2022 to December 2023), which yielded 214 eligible patients before propensity score matching. Prior to PSM, we performed a prospective power analysis for the anticipated unmatched cohort: assuming a CLNM incidence of approximately 45% based on our institutional data and literature reports, with a two-sided α = 0.05, power (1–β) = 0.80, and an estimated odds ratio of 2.0 for the primary predictors, a minimum of 170 patients (85 per group) would be required to detect the specified effect.
After 1:1 PSM, 98 matched pairs were successfully retained. To assess whether the matched cohort retained adequate statistical power, we conducted a post hoc power analysis using the paired binary outcome formula [n_pair = (Z_(1-α/2) + Z_(1-β))2 × (OR^(-1/2) + OR^(1/2))2 / (4 × π × (1-π))], where π represents the approximate event rate in the exposed group. With the observed CLNM rate of 50% in the matched cohort and the same α and power parameters, the calculation confirmed that 98 pairs exceeded the minimum requirement of 85 pairs.
Furthermore, even if the true OR were as low as 1.8, the current sample would still provide >75% power. It should be acknowledged that post hoc power analysis has inherent limitations and is primarily used for descriptive purposes rather than confirmatory inference; nonetheless, the consistency between the prospective estimate and the post-matching calculation supports the adequacy of the final sample.
Additionally, for the multivariate logistic regression model incorporating no more than eight independent variables, the empirical rule requiring 10–15 events per variable was satisfied, as the matched cohort contained 98 CLNM-positive events.
Statistical methods
The statistical methods employed a multi-level strategy. Firstly, descriptive statistics were conducted on the raw data. Continuous variables with normal distribution were expressed as mean ± standard deviation, and inter-group comparisons were performed using the independent sample t-test; non-normal distribution variables were expressed as median (interquartile range), and the Mann-Whitney U test was used; categorical variables were expressed as frequency (percentage), and the χ2 test or Fisher’s exact test was adopted. To minimize the influence of observed baseline covariates and control for potential confounding, we employed 1:1 propensity score matching (PSM). Propensity scores were estimated using a non-parsimonious multivariable logistic regression model with CLNM status as the dependent variable. The following baseline covariates were included in the propensity score model based on their clinical relevance and established associations with CLNM in the literature: age (continuous), sex, BMI (continuous), multifocality (binary), maximum tumor diameter (continuous), and capsular contact (binary). We did not include additional covariates (e.g., TSH, microcalcification) in the propensity score model to avoid adjusting for variables that might themselves be mediators of the exposure–outcome relationship, which could introduce overadjustment bias. The choice of a non-parsimonious model, including all clinically relevant covariates regardless of their statistical significance in univariate analysis, followed established recommendations for propensity score estimation to optimize covariate balance. Subsequently, 1:1 nearest-neighbor matching without replacement was performed using a caliper width of 0.2 standard deviations of the logit-transformed propensity score, as recommended by Austin44. Standardized mean differences (SMDs) were calculated for all baseline covariates before and after matching, with an SMD <0.1 considered to indicate adequate balance between the two groups. However, it is important to acknowledge that the selection bias inherent to retrospective designs cannot be entirely eliminated by statistical adjustment alone. To comprehensively address this limitation, we combined PSM with multivariable regression adjustment, generalized estimating equations (GEE) to account for clustering effects, and multiple sensitivity analyses to assess the robustness of our findings against unmeasured confounding. This multi-layered approach does not remove selection bias but rather strengthens the internal validity by ensuring that the association between predictors and CLNM is not merely an artifact of imbalanced covariates. After matching, the cohort was again compared between groups to verify the balance. Univariate logistic regression was performed on the pre-matching cohort to identify candidate predictors (p < 0.10) for the subsequent multivariate model. Propensity score matching was then applied to balance baseline characteristics, and the matched cohort was used for the multivariate logistic regression analysis and all subsequent analyses (GEE, sensitivity analyses, mediation analysis). On this basis, a multivariate binary Logistic regression model (enter method) was constructed to screen independent predictors of CLNM, including variables from univariate analysis with p < 0.10 and factors considered clinically important. In addition to the dichotomized analysis using the 2.5 mIU/L cutoff, TSH was also evaluated as a continuous variable in supplementary analyses. Univariate and multivariate logistic regression models were fitted with TSH entered as a continuous predictor (per 1.0 mIU/L increase). Restricted cubic spline regression with three knots was used to assess potential non-linear relationships between TSH levels and CLNM risk. To account for the non-independence of observations arising from patients with multiple thyroid nodules or multifocal lesions—where multiple lesions from the same patient are more likely to share similar biological and microenvironmental characteristics than lesions from different patients—we specified patient-level clustering as the unit of correlation in the GEE framework. Specifically, each patient was treated as an independent cluster, and all lesions/nodes from the same patient were considered correlated within that cluster50. A generalized estimating equation (GEE) with an exchangeable working correlation structure was employed for this purpose. The exchangeable structure assumes a constant correlation between any two observations within the same patient cluster51, and is appropriate for the data because there was no a priori expectation that correlations would decay over time or space, as in AR-1 structures. Furthermore, the number of lesions per patient was small and variable, making unstructured correlation matrices impractical due to overparameterization52. The exchangeable structure also provides a parsimonious yet robust approach to accounting for within-patient clustering, yielding asymptotically valid standard error estimates even when the true correlation structure is misspecified. Robust standard errors were estimated. Sensitivity analyses were conducted by refitting the regression model after removing extreme values below the 5th percentile and above the 95th percentile for continuous variables, including age, BMI, and maximum tumor diameter. The analysis was also repeated after reassigning categorical variables, such as changing contact status from yes/no to contact-degree grading and changing the TSH cutoff from 2.5 to 4.0 mIU/L, to determine whether the OR values and confidence intervals changed directionally.
Mediation analysis
To explore the potential pathway through which ultrasound features may be associated with CLNM, we conducted a mediation analysis following the framework proposed by Baron and Kenny42 and further developed by Preacher and Hayes43. Mediation analysis decomposes the total association between an exposure (X) and an outcome (Y) into a direct effect (X → Y) and an indirect effect (X → M → Y) that operates through a mediator variable (M)44. In this study, microcalcification (binary: present vs. absent) was specified as the exposure variable (X), CLNM (binary: positive vs. negative) as the outcome variable (Y), and maximum tumor diameter (>1 cm, binary) as the mediator variable (M). The selection of tumor diameter as the mediator was based on the biological plausibility that microcalcification—often corresponding to psammoma bodies indicative of active tumor proliferation—may be associated with larger tumor size, which in turn increases lymphatic spread risk52.
The mediation model was estimated using a widely used mediation analysis macro for SPSS45, which implements ordinary least squares regression for continuous mediators and logistic regression for binary outcomes. The following effects were estimated: the total effect (c), representing the overall association between microcalcification and CLNM; the direct effect (c’), representing the association between microcalcification and CLNM after accounting for the mediator; and the indirect effect (ab), calculated as the product of the effect of microcalcification on tumor diameter (a) and the effect of tumor diameter on CLNM adjusted for microcalcification (b). The proportion mediated was calculated as (ab / c) × 100%.
Given that the product of coefficients (ab) does not follow a normal distribution, statistical significance of the indirect effect was assessed using bias-corrected bootstrap confidence intervals based on 5,000 resamples53. An indirect effect was considered statistically significant if the 95% bootstrap confidence interval did not include zero54. Due to the retrospective observational design of this study, all mediation results are interpreted as statistical associations rather than causal mechanisms; this interpretation is consistent with the AGReMA (A Guideline for Reporting Mediation Analyses) statement recommendations for observational studies55.
To formally compare the discriminative performance between the combined model and each individual predictor, pairwise comparisons of AUCs were performed using DeLong’s nonparametric method for correlated ROC curves56. The DeLong test evaluates the statistical significance of the difference between two AUCs derived from the same cohort (paired design), accounting for the correlation between the two ROC curves57. A two-sided p-value < 0.05 was considered to indicate a statistically significant difference in AUC between the combined model and each individual predictor.
All statistical analyses were completed using SPSS, and a two-sided p < 0.05 was considered statistically significant.