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Random Number Generator

Adapted from:
RandomNumberGenerator.java * * Copyright (c) 2000 by Sundar Dorai-Raj
author Sundar Dorai-Raj

Linear Math Class

Adapted from:
Author Mark Hale
Created 31. Juli 2001
Version 2.0

Bitmap Export

Brightstat uses BitmapExporter v1.6 by Mario Klingemann

Class Matrix

Adapted from:
Class Matrix for matrix operations needed for statistical computations
Author: Mehmet Hakan Satman, 2005
Homepage: www.mhsatman.com

Studentized Range Algorithm

Adapted from:
Algorithm AS190 from
Algorithm AS 190.1
Algorithm AS 190.2 Appl. Statist. (1983) Vol.32, No. 2
Translated by B. Narasimhan
And also from:
Alan Miller Date: 1999-04-02 Time: 20:07:46

CDF Normal-Distribution

Algorithm AS66 Applied Statistics (1973) vol22 no.3
Adapted from:
pnorm.js * * Copyright (c) 2000 by Sundar Dorai-Raj
author Sundar Dorai-Raj

CDF T-Distribution

"Applied Statistics Algorithms" (1985), P. Griffiths and I. D. Hill, editors
Adapted from:
pt.js * * Copyright (c) 2000 by Sundar Dorai-Raj
author Sundar Dorai-Raj

CDF Beta-Distribution

Bosten and Battiste (1974). Remark on Algorithm 179, CACM 17, p153, (1974).
Adapted from:
pbeta.js * * Copyright (c) 2000 by Sundar Dorai-Raj
author Sundar Dorai-Raj

CDF F-Distribution

"Applied Statistics Algorithms" (1985), P. Griffiths and I. D. Hill, editors
Adapted from:
pf.js * * Copyright (c) 2000 by Sundar Dorai-Raj
author Sundar Dorai-Raj

CDF Chisquare Distribution

Posten, H. (1989) American Statistician 43 p. 261-265
Adapted from:
pchisq.js * * Copyright (c) 2000 by Sundar Dorai-Raj
author Sundar Dorai-Raj

ICDF T-Distribution

Hill, G. W. (1970). CACM Algorithm 395: Student's t-distribution, Communications of the ACM, 13 (10), 617 – 619.
Adapted from:
qt.js * * Copyright (c) 2000 by Sundar Dorai-Raj
author Sundar Dorai-Raj

CDF Kolmogorov Smirnov

Adapted from:
Miller, L. H. (1956). Table of percentage points of Kolmogorov Statistics. Journal of the American Statistical Association, 51 (273), 111-121.

Sweep Algorithm

Dempster, A.P. (1969). Elements of Continuous Multivariate Analysis. Reading, Mass.:Addison-Wesley.

Bibliography

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Bortz, J. (2005). Statistik für Human- und Sozialwissenschaftler (6th Edition). Heidelberg: Springer Medizin Verlag.


Cohen, J. (1960). A coefficient of agreement for nominal scales. Educational and Psychological Measurement 20, 37 – 46.


Cohen, J. (1968). Multiple regression as a general data-analytic system. Psychol. Bull., 70, 426 – 443.


Conover, W.J. (1999). Practical nonparametric Statistics.(3rd edition). Wiley.


Cox, D. R. (1972). Regression models and life-table. J. Stat. Soc. B., 34, 187 – 220.


Cox, D.R. & Snell, E.J. (1989). The Analysis of Binary Data.(2nd edition). London: Chapman and Hall.


Cronbach, L.J. (1951). Coefficient alpha and the initial structure of tests. Psychometrika, 16 (3), 297 – 334.


Dallal, G.E. & Wilkinson, L. (1986). An analytic approximation to the distribution of Lilliefor’s test statistic for normality. The American Statistician, 40 (4), 294 – 296 (Correction: 41: 248), – .


Dempster, A.P. (1969). Elements of Continuous Multivariate Analysis. Reading, Mass.:Addison-Wesley.


Duncan, D.B. (1955). Multiple range and multiple F tests. Biometrics, 11, 1 – 42.


Fisher, R.A. (1925). Statistical Methods for Research Workers. Oliver and Boyd.


Huynh, H. & Feldt, L. S. (1976). Estimation of the Box correction for degrees of freedom from sample data in randomised block and split-plot designs. Journal of Educational Statistics, 1, 69 – 82.


Greenhouse, S.W. & Geisser, S. (1959). On methods in the analysis of profile data. Psychometrika, 24, 95 – 112.


Griffiths, P. & Hill, I. D. eds. (1985). Applied Statistics Algorithms. Longman Higher Education.


Guttman, L. (1945). A basis for analyzing test-retest reliability. Psychometrika, 10 (4), 255 – 282.


Hill, G.W. (1970). CACM Algorithm 395: Student's t-distribution, Communications of the ACM, 13 (10), 617 – 619.


Hill, I.D. (1973). Algorithm AS66: The normal integral. Applied Statistics, 22, 424.


Huynh, H. & Feldt, L.S. (1976). Estimation of the box correction for degrees of freedom from sample data in randomized block and splitplot designs. J. Educ. Stat., 1, 69 – 82.


Kaplan, E. L. & Meier, P. (1958). Nonparametric estimation from incomplete observations. J. of the American Statistical Association, 53, 1958, 457 – 48.


Kendall, M.G. (1955). Rank Correlation Methods. New York: Hafner Publishing Co.


Kristof, W. (1963). The statistical theory of stepped-up reliability coefficients when a test has been divided into several equivalent parts. Psychometrika, 28 (3), 221 – 238.


Kristof, W. (1969). Estimation of true score and error variance for tests under various equivalence assumptions. Psychometrika, 34 (4), 489 – 507.


Kruskal, W.H. & Wallis, W.A. (1952). Use of ranks in one-criterion variance analysis. Journal of the American Statistical Association, 47 (260), 583 – 621.


Levene, H. (1960). In Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling, I. Olkin et al. eds., Stanford University Press, pp. 278-292.


Lilliefors, H.W. (1967). On the Kolmogorov-Smirnov tests for normality with mean and variance unknown. Journal of the American Statistical Association, 62, 399 – 402.


Lund, R.E. & Lund, J.R. (1983). AS 190, Probabilities and Upper Quantiles for the Studentized Range. Applied Statistics, 34.


Mann, H.B. & Whitney, D.R. (1947). On a test of whether one of 2 random variables is stochastically larger than the other. Annals of Mathematical Statistics, 18, 50 – 60.


McGraw, K.O. & Wong, S.P. (1996). Forming inferences about some intraclass correlation coefficients. Psychological Methods, 1 (1), 30 – 46.


McNemar, Q. (1969). Psychological Statistics. New York: Wiley.


Miller, L.H. (1956). Table of percentage points of Kolmogorov Statistics. Journal of the American Statistical Association, 51 (273), 111-121.


Nagelkerke, N.J.D. (1991). A note on the general definition of the coefficient of determination. Biometrika, 78 (3), 691-692.


Novick, M.R. & Lewis, C. (1967). Coefficient alpha and the reliability of composite measurements. Psychometrika, 32 (1), 1 – 13.


Pearson, K. (1907). On further Methods of determining correlation. Draper’s Company Memoirs. Series IV.


Peizer, D.B. & Pratt, J.W. (1968). A normal approximation for binomial, F, beta and other common related tail probabilities. Journal of the American Statistical Association, 63, 1416 – 1456.


Posten, H. (1989) American Statistician 43 p. 261-265.


Schaich, H.E. & Hamerle, A. (1984). Verteilungsfreie statistische Prüfverfahren, Berlin.


Scheffé, H.A. (1953). A method of judging all contrasts in the analysis of variance. Biometrika, 40, 87 – 104.


Scheffé, H.A. (1963). The analysis of variance. New York, John Wiley & Sons, Inc.


Shrout, P.E. & Fleiss, J.L. (1979). Intraclass correlations: Uses in assessing reliability. Psychological Bulletin, 86, 420 – 428.


Spearman, C. (1904). “General Intelligence”, objectively determined and measured. American Journal of Psychology, 15, 201 – 293.


Tarone, R.E. (1975). Test for trent in life table analysis. Biometrika, 62, 679 – 682.


Tarone, R.E. & Ware, J.H. (1977). On distribution-free tests for equality of survival distributions. Biometrika, 64, 156 – 160.


Tukey, J.W. (1977). Exploratory data analysis. Reading, Mass. Addison-Wesley.


Wilcoxon, F. (1945). Individual comparisons by ranking methods. Biometrics Bulletin, 1, 80 – 83.


Winer, B.J. (1971). Statistical principles in experimental design, 2nd Edition, New York: McGraw-Hill.




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