Tables of Percentage Points of the Non-Central t-Distribution.
STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH
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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 rootf 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
- Statistics and Probability