×

Nonparametric \(k\)-sample tests with panel count data. (English) Zbl 1436.62158

Summary: We study the nonparametric \(k\)-sample test problem with panel count data. The asymptotic normality of a smooth functional of the nonparametric maximum pseudo-likelihood estimator [J. A. Wellner and Y. Zhang, Ann. Stat. 28, No. 3, 779–814 (2000; Zbl 1105.62372)] is established under some mild conditions. We construct a class of easy-to-implement nonparametric tests for comparing mean functions of \(k\) populations based on this asymptotic normality. We conduct various simulations to validate and compare the tests. The simulations show that the tests perform quite well and generally have good power to detect differences among the mean functions. The method is illustrated with a real-life example.

MSC:

62G10 Nonparametric hypothesis testing
62G20 Asymptotic properties of nonparametric inference
62E20 Asymptotic distribution theory in statistics

Citations:

Zbl 1105.62372
PDFBibTeX XMLCite
Full Text: DOI