Tables of Percentage Points of the Non-Central t-Distribution.
Abstract
The technical report presents a table of the percentage points of the non-central t-distribution. Denote the degrees of freedom of the non-central t-distribution by f and the non-centrality parameter by delta. The percentage points, t sub o (f, delta, epsilon), are tabulated as a function of Delta = delta /square root(f) = 0.0 (.1) 3.5, f = 4 (1) 10, 12, 18, 24, 36, 48, and probability levels epsilon = .001, .005, .010, .025, .050 (.05) .250, .500, .750, .800 (.05) .950, .975, .990, .995. This work enables the direct calculation of t sub o (f, delta, epsilon) and facilitates the computation of delta (f, t, epsilon), and covers a wider range of epsilon and delta than any other existing table except for the Johnson and Welch approximation method. Among its many uses is getting a confidence bound on the population of a normal distribution, with unknown parameters falling below (above) a preassigned limit, and solving other problems in sampling inspection by variables. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 13, 1972
- Accession Number
- AD0752780
Entities
People
- Heebok Park
Organizations
- Stanford University