References
Periodicals
- Baker, G. A., “Comparison of Pearsonian Approximations with Exact Sampling Distributions of Means and Variances in Samples from Populations Composed of the Sums of Normal Populations,”, Annals of Mathematical Statistics, Vol. 11, 1940, pp. 219–224.
- Baker, G. A., “Distribution of the Means of Samples of n Drawn at Random from a Population Represented by a Gram-Charlier Series,”, Annals of Mathematical Statistics, Vol. 1, 1930, pp. 199–204.
- Baker, G. A., “Random Sampling from Non-homogeneous Populations,”, Metron, Vol. 8, 1930, pp. 67–87.
- Baker, G. A., “The Relation between the Means and Variances, Means Squared and Variances in Samples from Combinations of Normal Populations,”, Annals of Mathematical Statistics, Vol. 2, 1931, pp. 333–354.
- Berry, A. C., “The Accuracy of the Gaussian Approximation to the Sum of Independent Variates,”, Transactions of the American Mathematical Society, Vol. 49, 1941, pp. 122–136.
- Berz, F., “On the Cumulative Effect of Chance Deviations,” Journal of the Royal Statistical Society (B), Vol. 16, 1954, pp. 269–284.
- Bose, R. C., “On the Distribution of the Means of Samples Drawn from a Bessel Function Population,”, Sankhyā, Vol. 3, 1938, pp. 262–264.
- Bradley, J. V., “Studies in Research Methodology,”8 Dissertation Abstracts (B), Vol. 28, 1968, pp. 4815–4816.
- Brown, G. W. and Tukey, J. W., “Some Distributions of Sample Means,”, Annals of Mathematical Statistics, Vol. 17, 1946, pp. 1–12.
- Camp, B. H., “Problems in Sampling,”, Journal of the American Statistical Association, Vol. 18, 1923, pp. 964–977.
- Carlson, J. L., “A Study of the Distribution of Means Estimated from Small Samples by the Method of Maximum Likelihood for Pearson's Type II Curve,”, Annals of Mathematical Statistics, Vol. 3, 1932, pp. 86–107.
- Cheriyan, K. C., “Distribution of Certain Frequency Constants in Samples from Non-normal Populations,”, Sankhyā, Vol. 7, 1945, pp. 159–166.
- Chernoff, H., “Large-sample Theory: Parametric Case,”, Annals of Mathematical Statistics, Vol. 27, 1956, pp. 1–22.
- Church, A. E. R., “On the Means and Squared Standard Deviations of Small Samples from Any Population,”, Biometrika, Vol. 18, 1926, pp. 321–394.
- Craig, C. C., “Note on the Distribution of Means of Samples of N Drawn from a Type A Population,”, Annals of Mathematical Statistics, Vol. 2, 1931, pp. 99–101.
- Craig, C. C., “Sampling When the Parent Population Is of Pearson's Type III,”, Biometrika, Vol. 21, 1929, pp. 287–293.
- Cramer, H., “Sur un Nouveau Théorème-Limite de la Théorie des Probabilités,” Actualités Scientifiques el Industrielles, No. 736, Paris: Hermann & Cie, 1938.
- Dunlap, Hilda F., “An Empirical Determination of the Distribution of Means, Standard Deviations and Correlation Coefficients Drawn from Rectangular Populations,” Annals of Mathematical Statistics, Vol.2, 1931, pp. 66–81.
- Francis, V. J., “On the Distribution of the Sum of n Sample Values Drawn from a Truncated Normal Population,” Journal of the Royal Statistical Society (B), Vol. 8, 1946, pp. 223–232.
- Greenwood, M. and White, J. D. C., “A Biometric Study of Phagocytosis with Special Reference to the ‘Opsonic Index.”’ Biometrika, Vol. 6, 1908, pp. 376–401.
- Hall, P., “The Distribution of Means for Samples of Size N Drawn from a Population in Which the Variate Takes Values Between 0 and 1, All Such Values Being Equally Probable,” (with an editorial note by E. S. Pearson), Biometrika, Vol. 19, 1927, pp. 240–245.
- Holzinger, K. J. and Church, A. E. R., “On the Means of Samples from a U-Shaped Population,” Biometrika, Vol. 20A (1928), pp. 361–388.
- Irwin, J. O., “On the Frequency Distribution of the Means of Samples from a Population Having Any Law of Frequency with Finite Moments, with Special Reference to Pearson's Type II,”, Biometrika, Vol. 19, 1927, pp. 225–239.
- Irwin, J. O., “On the Frequency Distribution of the Means of Samples of Populations of Certain of Pearson's Types,”, Metron, Vol. 8, 1930, pp. 51–105.
- Kullback, S., “An Application of Characteristic Functions to the Distribution Problem of Statistics,”, Annals of Mathematical Statistics, Vol. 5, 1934, pp. 263–307.
- Rider, P. R., “On Small Samples from Certain Non-normal Universes,”, Annals of Mathematical Statistics, Vol. 2, 1931, pp. 48–65.
- Rider, P. R., “On the Distribution of the Ratio of Mean to Standard Deviation in Small Samples from Non-normal Universes,”, Biometrika, Vol. 21, 1929, pp. 124–143.
- Severo, N. C. and Olds, E. G., “A Comparison of Tests on the Mean of a Logarithmico-normal Distribution with Known Variance,”, Annals of Mathematical Statistics, Vol. 27, 1956, pp. 670–686.
- Shewhart, W. A. and Winters, F. W., “Small Samples—New Experimental Results,”, Journal of the American Statistical Association, Vol. 23, 1928, pp. 144–153.
- Sophister, “Discussion of Small Samples Drawn from an Infinite Skew Population,” Biometrika, Vol. 20A, 1928, pp. 389–423.
- Student, “The Distribution of the Means of Samples Which Are Not Drawn at Random,”, Biometrika, Vol. 7, 1909, pp. 210–214.
- Tchouproff, A. A., “On the Mathematical Expectation of the Moments of Frequency Distributions,”, Biometrika, Vol. 12, 1918–1919, pp. 140–169 and 185–210, and Vol. 13, 1921, pp. 283–295.
- Teichroew, D., “A History of Distribution Sampling Prior to the Era of the Computer and Its Relevance to Simulation,”, Journal of the American Statistical Association, Vol. 60, 1965, pp. 27–49.
- Treloar, A. E. and Wilder, Marian A., “The Adequacy of ‘Student's’ Criterion of Deviations in Small Sample Means,” Annals of Mathematical Statistics, Vol.5, 1934, pp. 324–341.
- Welker, E. L., “The Distribution of the Mean,”, Annals of Mathematical Statistics, Vol. 18, 1947, pp. 111–117.
- Zahl, S., “Bounds for the Central Limit Theorem Error,”, SIAM Journal of Applied Mathematics, Vol. 14, 1966, pp. 1225–1245.
Books
- Bradley, J. V., Distribution-free Statistical Tests, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1968.
- Shewhart, W. A., The Economic Control of Quality of a Manufactured Product, Van Nostrand, New York, 1931.
- Tukey, J. W., “A Survey of Sampling from Contaminated Distributions,” in Olkin and others (ed.), Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling, Stanford University Press, Stanford, Cal., 1960, pp. 448–485.
Government Report
- Olds, E. G. and Severo, N. C., A Comparison of Tests on the Mean of a Logarithmico-normal Distribution with Known Variance, Wright Air Development Center Technical Note 55-249, December 1955.
Ph.D. Diuertation
- Bradley, J. V., An Empirical Investigation of the Central Limit Theorem Applied to Time Scores, Ph.D. Thesis, Psychology Department, Purdue University, January 1962.