Preheat oven to 350°F. Lightly coat two baking sheets with nonstick cooking spray.
In a bowl, combine flour, baking soda, cinnamon, ginger, allspice, and salt.
In the bowl of a stand mixer (or in a large bowl using an electric mixer), beat margarine until smooth. Add Splenda Brown Sugar Blend, molasses, and egg white. Mix slowly to incorporate, then beat until smooth.
Gradually mix in dry ingredients until well blended. Dough will be soft but not sticky.
Using your palms, roll dough into ¾-inch balls (1 level teaspoon). Place on prepared pans about 2 inches apart. Use the back of a fork to press down on tops of cookies, making a crosshatch pattern.
Bake for 8 minutes, or until edges are set. Cool slightly, then transfer to a wire rack to cool completely.