A Study of SCH 58235 (Ezetimibe) When Added to Ongoing Therapy With a Statin in Participants With Primary Hypercholesterolemia, Known Coronary Heart Disease, or Multiple Cardiovascular Risk Factors (P02173)

Inclusion Criteria * Currently taking an approved and stable (for at least 6 weeks prior to screening) daily dose of a statin and by history had taken \>80% of daily doses for the preceding 6 weeks * Have a negative pregnancy test * Agree to practice an effective barrier method of birth control during the study if of childbearing potential * Females receiving hormonal therapy, including hormone replacement, any estrogen antagonist/agonist, or oral contraceptives, maintain a stable dose and regimen for at least 8 weeks and be willing to continue the same regimen for the duration of the study * Must verify previous instruction on an National Cholesterol Education Program (NCEP) Step 1 diet or similar diet and must maintain a stable diet regimen for the duration of the study * Weight stability ( ± 2 kg) for at least 6 weeks prior to entry into the study Exclusion Criteria * History of mental instability, drug/alcohol abuse within the past 5 years, or major psychiatric illness not adequately controlled and stable on pharmacotherapy * Previously enrolled to any study evaluating ezetimibe * Pregnant or lactating * Consumes greater than 14 alcoholic drinks/week * Taking a lipid-altering agent (other than statins) in previous 6 weeks * Taking Oral corticosteroids, unless the corticosteroids were for replacement therapy to treat pituitary/adrenal disease and were treated with a stable regimen for at least the previous 6 weeks * Treatment with psyllium, other fiber-based laxatives, and other over-the-counter (OTC) therapies that affect serum lipids, unless treated with a stable regimen for at least 6 weeks * Taking orlistat * Taking cyclosporine * Use of any investigational drugs within 30 days * Treatment with agents with known interactions with statins including antifungal azoles (itraconazole and ketoconazole), macrolide antibiotics (erythromycin and clarithromycin) and nefazodone or with other potent agents that could significantly interfere with cytochrome P-450 system * Congestive heart failure New York Heart Association (NYHA) Class III or IV * Uncontrolled cardiac arrhythmias * Myocardial infarction, coronary artery bypass surgery or angioplasty within 3 months * Unstable or severe peripheral artery disease within 3 months * Unstable angina pectoris * Disorders of the hematologic, digestive or central nervous systems including cerebrovascular disease and degenerative disease that would limit study evaluation or participation * Poorly controlled or newly diagnosed (within 3 months) diabetes mellitus, or change in antidiabetic pharmacotherapy (i.e., change in dosage \[with the exception of ± 10 units of insulin\] or addition of new medication) within 3 months * Uncontrolled endocrine or metabolic disease known to influence serum lipids or lipoproteins (i.e., secondary causes of hyperlipidemia). Clinically euthyroid participants on replacement doses of thyroid hormone are eligible for enrollment if thyroid stimulating hormone (TSH) is within the normal range * Impaired renal function, nephrotic syndrome, or other renal disease * Active or chronic hepatobiliary or hepatic disease * Positive for human immunodeficiency virus (HIV) * Cancer within the past 5 years (except for basal cell carcinoma)