An Application of Pairwise Independence of Random Variables to Regression Analysis
Canadian mathematical bulletin, Tome 18 (1975) no. 3, pp. 397-404

Voir la notice de l'article provenant de la source Cambridge University Press

The exact probability of making an error at the first stage of a stepwise regression is found, both when the independent variables are fixed and when they are random. The probabilities differ in the two cases because the random variables involved are pairwise independent but not jointly independent.
Schaufele, Ronald A. An Application of Pairwise Independence of Random Variables to Regression Analysis. Canadian mathematical bulletin, Tome 18 (1975) no. 3, pp. 397-404. doi: 10.4153/CMB-1975-073-5
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[1] 1. Anderson, T. W., An introduction to multivariate statistical analysis, Wiley, 1958. Google Scholar

[2] 2. Cramer, Harald, Mathematical methods of statistics, Princeton University Press, 1946. Google Scholar

[3] 3. Draper, N. R., Guttman, I., and Kanemasu, A., The distribution of certain regression statistics y Biometrika, 1971, 58 295-298. Google Scholar

[4] 4. Draper, Norman and Smith, Harry, Applied regression analysis, Wiley, 1966. Google Scholar

[5] 5. Feller, W., An introduction to probability theory and its applications (2nd edition), Wiley, 1957. Google Scholar

[6] 6. Geisser, Seymour and Mantel, Nathan, Pairwise independence of jointly dependent variables, Ann. Math. Statist., 1965, 36 1313-17. Google Scholar

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