Eileen T. Kennedy, president of the Smart Choices board and the dean of the Friedman School of Nutrition Science and Policy at Tufts University, said the program’s criteria were based on government dietary guidelines and widely accepted nutritional standards.

Image Foods with the Smart Choices checkmark include sugar-laden cereals like Froot Loops, mayonnaise and Fudgsicle bars. Credit... G. Paul Burnett/The New York Times

She said the program was also influenced by research into consumer behavior. That research showed that, while shoppers wanted more information, they did not want to hear negative messages or feel their choices were being dictated to them.

“The checkmark means the food item is a ‘better for you’ product, as opposed to having an x on it saying ‘Don’t eat this,’ ” Dr. Kennedy said. “Consumers are smart enough to deduce that if it doesn’t have the checkmark, by implication it’s not a ‘better for you’ product. They want to have a choice. They don’t want to be told ‘You must do this.’ ”

Dr. Kennedy, who is not paid for her work on the program, defended the products endorsed by the program, including sweet cereals. She said Froot Loops was better than other things parents could choose for their children.

“You’re rushing around, you’re trying to think about healthy eating for your kids and you have a choice between a doughnut and a cereal,” Dr. Kennedy said, evoking a hypothetical parent in the supermarket. “So Froot Loops is a better choice.”

Froot Loops qualifies for the label because it meets standards set by the Smart Choices Program for fiber and Vitamins A and C, and because it does not exceed limits on fat, sodium and sugar. It contains the maximum amount of sugar allowed under the program for cereals, 12 grams per serving, which in the case of Froot Loops is 41 percent of the product, measured by weight. That is more sugar than in many popular brands of cookies.

“Froot Loops is an excellent source of many essential vitamins and minerals and it is also a good source of fiber with only 12 grams of sugar,” said Celeste A. Clark, senior vice president of global nutrition for Kellogg’s, which makes Froot Loops. “You cannot judge the nutritional merits of a food product based on one ingredient.”