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

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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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     author = {Schaufele, Ronald A.},
     title = {An {Application} of {Pairwise} {Independence} of {Random} {Variables} to {Regression} {Analysis}},
     journal = {Canadian mathematical bulletin},
     pages = {397--404},
     year = {1975},
     volume = {18},
     number = {3},
     doi = {10.4153/CMB-1975-073-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-073-5/}
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