High Quality Content by WIKIPEDIA articles! In probability and statistics, the noncentral t-distribution (also known as the singly noncentral t-distribution) generalizes Student`s t-distribution using a noncentrality parameter. Like the central t-distribution, the noncentral t-distribution is primarily used in statistical inference, although it may also be used in robust modeling for data. In particular, the noncentral t-distribution arises in power analysis.