Preheat the oven to 350°F and spray a 8- or 9-inch pan with cooking spray.
Prepare the cardamom crumb by mixing softened room temperature butter, brown sugar, flour, salt, ginger, and cardamom in a medium bowl until ingredients are well combined with some small pieces and some large chunks.
Make the yellow cake base: In a large mixing bowl, whisk together the oil, yogurt, milk, eggs, sugar, and vanilla until completely smooth.
Sprinkle the flour, salt, and baking powder over the top of the wet ingredients. Stir with a flexible spatula until combined and there are no visible flour streaks.
Pour half of the yellow cake batter into the prepared pan. Sprinkle the batter with half of the cardamom crumb mixture.
Drizzle the remaining cake batter over the crumb in a mostly even layer. Spread the batter with the spatula if needed to get an even layer.
Sprinkle the cake with the remaining cardamom crumb mixture for an even coating.
Bake for 35-45 minutes, until the top is golden and a toothpick inserted in the center of the coffee cake comes out clean.
Allow the cake to cool for 25-30 minutes and then slice into 12 squares.
Nutrition facts are sometimes provided below and are calculated using an online calculator. With specific brands of ingredients and additions, omissions, or substitutions the nutrition facts may change. We encourage you to use your own nutrition facts calculator to obtain the most accurate nutrition facts for your meal.