(AP) – For the first time, a large experiment suggests that trimming dietary fat and eating more fruits and vegetables may lower a woman’s risk of dying of breast cancer.

The results are notable because they come from a rigorous test involving 49,000 women over two decades rather than other studies that try to draw health conclusions from observations about how people eat.

Healthy women who modified their diets for at least eight years and who later developed breast cancer had a 21% lower risk of dying of the disease compared to others who continued to eat as usual.

However, that risk was small to start with and diet’s effect was not huge, so it took 20 years for the difference between the groups to appear. The diet change also did not lower the risk of developing breast cancer, which was the study’s main goal.

Still, doctors say the results show a way women might improve their odds of survival.

“Patients are eager for things that they can do,” said Dr. Jennifer Ligibel of the Dana-Farber Cancer Institute in Boston. “It really suggests that changing your diet, losing weight, exercising, could actually be a treatment.”

She had no role in the study, led by Dr. Rowan Chlebowski of Los Angeles Biomedical Research Institute at Harbor-UCLA Medical Center. He gave results Wednesday in a telephone news conference held by the American Society of Clinical Oncology ahead of its annual meeting later this month.

“We need to take this very seriously” because of the quality of the study, said Dr. Lidia Schapira, a breast cancer expert at Stanford University and spokeswoman for the oncology society. “What we eat matters.”

The results come from the Women’s Health Initiative, a big federally funded study that previously overturned longtime advice on hormone therapy for menopause symptoms.

The diet part of the study enrolled 48,835 women ages 50 to 79 without breast cancer in the 1990s. At the start, they were getting one third of calories from fat.