Participants will be randomly assigned to one of two treatment groups: they will take one capsule a day of either alendronate or placebo (a look-alike capsule that has no active ingredient). They will take the capsules for 6 months, stop for 6 months, then take them for another 6 months and then go off them for 6 months. They will then remain off the drug or placebo for an additional 12 months and complete the study with a final follow-up visit at 36 months. While taking alendronate or placebo, patients will also take calcium and vitamin D to prevent secondary hyperparathyroidism-a side effect of alendronate in which the bone does not release enough calcium.