A recent article (D. J. Moritz and W. A. Satariano, J. Clin. Epidemiol., 46: 443-454 (1993)) used multiple logistic regression to predict whether the stage of breast cancer at diagnosis was advanced or was local for a sample of 444 middle-aged and elderly women. A table referring to a particular set of de- mographic factors reported the estimated odds ratio for the effect of living arrangement (three categories) as 2.02 for spouse versus alone and 1.71 for others versus alone; it reported the effect of income (three categories) as 0.72 for $10,000-24,999 versus < $10000 and 0.41 for $25,000+ versus < $10,000 Interpret these results, and estimate the odds ratios for the third pair of categories for each factor.