Joint analysis of panel count and interval-censored data using distribution-free frailty analysis. 2020

Chi-Chung Wen, and Yi-Hau Chen, and Chi-Hong Tseng
Department of Mathematics, Tamkang University, New Taipei City, Taiwan.

We propose a joint analysis of recurrent and nonrecurrent event data subject to general types of interval censoring. The proposed analysis allows for general semiparametric models, including the Box-Cox transformation and inverse Box-Cox transformation models for the recurrent and nonrecurrent events, respectively. A frailty variable is used to account for the potential dependence between the recurrent and nonrecurrent event processes, while leaving the distribution of the frailty unspecified. We apply the pseudolikelihood for interval-censored recurrent event data, usually termed as panel count data, and the sufficient likelihood for interval-censored nonrecurrent event data by conditioning on the sufficient statistic for the frailty and using the working assumption of independence over examination times. Large sample theory and a computation procedure for the proposed analysis are established. We illustrate the proposed methodology by a joint analysis of the numbers of occurrences of basal cell carcinoma over time and time to the first recurrence of squamous cell carcinoma based on a skin cancer dataset, as well as a joint analysis of the numbers of adverse events and time to premature withdrawal from study medication based on a scleroderma lung disease dataset.

UI MeSH Term Description Entries
D008171 Lung Diseases Pathological processes involving any part of the LUNG. Pulmonary Diseases,Disease, Pulmonary,Diseases, Pulmonary,Pulmonary Disease,Disease, Lung,Diseases, Lung,Lung Disease
D009364 Neoplasm Recurrence, Local The local recurrence of a neoplasm following treatment. It arises from microscopic cells of the original neoplasm that have escaped therapeutic intervention and later become clinically visible at the original site. Local Neoplasm Recurrence,Local Neoplasm Recurrences,Locoregional Neoplasm Recurrence,Neoplasm Recurrence, Locoregional,Neoplasm Recurrences, Local,Recurrence, Local Neoplasm,Recurrence, Locoregional Neoplasm,Recurrences, Local Neoplasm,Locoregional Neoplasm Recurrences,Neoplasm Recurrences, Locoregional,Recurrences, Locoregional Neoplasm
D002280 Carcinoma, Basal Cell A malignant skin neoplasm that seldom metastasizes but has potentialities for local invasion and destruction. Clinically it is divided into types: nodular, cicatricial, morphaic, and erythematoid (pagetoid). They develop on hair-bearing skin, most commonly on sun-exposed areas. Approximately 85% are found on the head and neck area and the remaining 15% on the trunk and limbs. (From DeVita Jr et al., Cancer: Principles & Practice of Oncology, 3d ed, p1471) Carcinoma, Basal Cell, Pigmented,Epithelioma, Basal Cell,Rodent Ulcer,Ulcer, Rodent,Basal Cell Carcinoma,Basal Cell Carcinomas,Basal Cell Epithelioma,Basal Cell Epitheliomas,Carcinomas, Basal Cell,Epitheliomas, Basal Cell,Rodent Ulcers,Ulcers, Rodent
D002294 Carcinoma, Squamous Cell A carcinoma derived from stratified SQUAMOUS EPITHELIAL CELLS. It may also occur in sites where glandular or columnar epithelium is normally present. (From Stedman, 25th ed) Carcinoma, Epidermoid,Carcinoma, Planocellular,Carcinoma, Squamous,Squamous Cell Carcinoma,Carcinomas, Epidermoid,Carcinomas, Planocellular,Carcinomas, Squamous,Carcinomas, Squamous Cell,Epidermoid Carcinoma,Epidermoid Carcinomas,Planocellular Carcinoma,Planocellular Carcinomas,Squamous Carcinoma,Squamous Carcinomas,Squamous Cell Carcinomas
D002908 Chronic Disease Diseases which have one or more of the following characteristics: they are permanent, leave residual disability, are caused by nonreversible pathological alteration, require special training of the patient for rehabilitation, or may be expected to require a long period of supervision, observation, or care (Dictionary of Health Services Management, 2d ed). For epidemiological studies chronic disease often includes HEART DISEASES; STROKE; CANCER; and diabetes (DIABETES MELLITUS, TYPE 2). Chronic Condition,Chronic Illness,Chronically Ill,Chronic Conditions,Chronic Diseases,Chronic Illnesses,Condition, Chronic,Disease, Chronic,Illness, Chronic
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D000073496 Frailty A state of increased vulnerability to stressors, following declines in function and reserves across multiple physiologic systems, characterized by MUSCLE WEAKNESS; FATIGUE; slowed motor performance; low physical activity; and unintentional weight loss. Debility,Frailness,Frailty Syndrome,Debilities,Frailties
D012594 Scleroderma, Localized A term used to describe a variety of localized asymmetrical SKIN thickening that is similar to those of SYSTEMIC SCLERODERMA but without the disease features in the multiple internal organs and BLOOD VESSELS. Lesions may be characterized as patches or plaques (morphea), bands (linear), or nodules. Dermatosclerosis,Morphea,Scleroderma, Circumscribed,Frontal Linear Scleroderma en Coup de Sabre,Linear Scleroderma,Scleroderma, Linear,Circumscribed Scleroderma,Localized Scleroderma,Morpheas,Sclerodermas, Localized
D012878 Skin Neoplasms Tumors or cancer of the SKIN. Cancer of Skin,Skin Cancer,Cancer of the Skin,Neoplasms, Skin,Cancer, Skin,Cancers, Skin,Neoplasm, Skin,Skin Cancers,Skin Neoplasm
D015233 Models, Statistical Statistical formulations or analyses which, when applied to data and found to fit the data, are then used to verify the assumptions and parameters used in the analysis. Examples of statistical models are the linear model, binomial model, polynomial model, two-parameter model, etc. Probabilistic Models,Statistical Models,Two-Parameter Models,Model, Statistical,Models, Binomial,Models, Polynomial,Statistical Model,Binomial Model,Binomial Models,Model, Binomial,Model, Polynomial,Model, Probabilistic,Model, Two-Parameter,Models, Probabilistic,Models, Two-Parameter,Polynomial Model,Polynomial Models,Probabilistic Model,Two Parameter Models,Two-Parameter Model

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