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Algorithm 396: Student's t-Quantiles

Published: 01 October 1970 Publication History
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    References

    [1]
    GOSSET, W. S. (Student). On the probable error of a mean. Biometrika 6 (1908), 1.
    [2]
    HILL, G. W., AND DAVIS, A. W. Generalized asymptotic expansions of Cornish-Fisher type. Ann. Math. Statist. 39, 4(1968), 1264.
    [3]
    HILL, G. W. Progress results on asymptotic approximations for Student's t. Unpublished manuscript, Oct. 1969.
    [4]
    FISHER, R. A. Expansion of "Student's" integral in powers of n-L Metron, 5 (1926), 109-112.
    [5]
    MoRRis, J. Algorithm 321, t-test. Comm. ACM 11 (Feb. 1968), 115.
    [6]
    ABRAMOWITZ, M., AND STEGUN, I. A. (Eds.) Handbook of Mathematical Functions. Appl. Math. Ser. Vol. 55, Nat. Bur. Stand., US Govt. Printing Off., Washington, D.C., 1965, p. 948.
    [7]
    LEVINE, D. A. Algorithm 344, Student's t-distribution. Comm. ACM 12 (Jan. 1969), 37.
    [8]
    IBBETSON, D. Algorithm 209, Gauss. Comm. A CM 6 (Oct. 1963), 616.
    [9]
    HILL, I. D., AND JOYCE, S. A. Algorithm 304, Normal. Comm. ACM 10 (June 1967), 374.
    [10]
    SMIRNOV, N.V. Tables for the Distribution and Density Functions of t-Distribution. Pergamon Press, New York, 1961.
    [11]
    HILL, G. W. Algorithm 395, Student's t-distribution Comm. ACM 18 (Oct. 1970), 617--618.
    [12]
    HILL, G.W. Progress results on asymptotic approximations for Student's t. Unpublished manuscript, Oct. 1969.
    [13]
    FISHER, R. A., AND YATES, F. Statistical Tables for Biological Agricultural and Medical Research. Oliver and Boyd, London.
    [14]
    SmRNOV, N.V. Tables for the Distribution and Density Functions of t-Distribution. Pergamon Press, New York, 1961.
    [15]
    FEDERIGHI, E .T . Extended tables of the percentage points of Student's t-distribution. J. Amer. Stat. Assoc. 554 (1959), 683-688.
    [16]
    CHANG, S. K., AND GILL, A. Algorithmic solution of the change-making problem. J. ACM 17 (Jan. 1970) 113-122
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    BERGE, C., AND GHOUILA-HouRI, A. Programmes, Jeux et Reseaux de Transport. Dunod, Paris, 1962, pp. 179-182.
    [18]
    BERGE, C., AND GHOUILA-HouRI, A. Programming, Games and Transportation Networks. Methuen, London, and Wiley, New York, 1965, pp. 177-180.
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    KRUSKAL, J. B., JR. On the shortest spanning subtree of a graph and the travelling salesman problem. Proc. Amer. Math. Soc. 7 (1956) 48--50.
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    OBRUCA, A. Algorithm 1. Mintree. Computer Bull. (Sept. 1964) 67.
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    KNUTH, D .E . The Art of Computer Programming, Vol I Fundamental Algorithms. Addison-Wesley, Reading, Mass., 1968. pp. 370-371.
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    BAUER, F. L. Algorithm 60, Romberg integration. Comm. ACM 4 (June 1961), 255.
    [23]
    FAINWEATHER, G. Algorithm 351, Modified Romberg quadrature. Comm. ACM 12 (June 1969), 324-325.
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    KRASUN, A. M., AND PRAGEH, W. Remark on Romberg quadrature. Comm. ACM 8 (Apr. 1965), 236-237.
    [25]
    NUBIK, R.N. Algorithm 257, Havie integrator. Comm. ACM 8 (June 1965), 381.
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    PERLIS, A. J ., AND SAMELSON, K. Preliminary report-international algebraic language. Comm. ACM 1 (Dec. 1958), 8-22.
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    RUTISHAUSER, H. Description of Algol 60. In Handbook for Automatic Computation, Vol. 1. Springer-Verlag, New York, 1967, Parta, pp. 105-106.

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    Published In

    cover image Communications of the ACM
    Communications of the ACM  Volume 13, Issue 10
    Oct. 1970
    127 pages
    ISSN:0001-0782
    EISSN:1557-7317
    DOI:10.1145/355598
    Issue’s Table of Contents
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    New York, NY, United States

    Publication History

    Published: 01 October 1970
    Published in CACM Volume 13, Issue 10

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    Author Tags

    1. asymptotic expansion
    2. quantile
    3. student's t-statistic

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    • (2023)Search-Based Optimisation of LLM Learning Shots for Story Point EstimationSearch-Based Software Engineering10.1007/978-3-031-48796-5_9(123-129)Online publication date: 8-Dec-2023
    • (2016)Multi-objective software effort estimationProceedings of the 38th International Conference on Software Engineering10.1145/2884781.2884830(619-630)Online publication date: 14-May-2016

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