diff --git a/test/projection/projected_to_categorical_tests.jl b/test/projection/projected_to_categorical_tests.jl
new file mode 100644
index 0000000..2915362
--- /dev/null
+++ b/test/projection/projected_to_categorical_tests.jl
@@ -0,0 +1,62 @@
+@testitem "Simple projection to `Categorical`" begin
+    using BayesBase, ExponentialFamily, Distributions, JET
+    using ExponentialFamilyProjection
+
+    include("./projected_to_setuptests.jl")
+
+    @testset let distribution = Categorical([1/3, 1/3, 1/3])
+        @test test_projection_convergence(distribution)
+    end
+
+    @testset let distribution = Categorical([1/4, 1/2, 1/4])
+        @test test_projection_convergence(distribution)
+    end
+
+    @testset let distribution = Categorical([1/16, 1/2, 1/4, 3/16])
+        @test test_projection_convergence(distribution)
+    end
+
+    @testset let distribution = Categorical([1/12, 1/3, 1/12, 1/6, 1/3])
+        @test test_projection_convergence(distribution)
+    end
+
+ 
+end
+
+
+@testitem "Project a product of `Categorical` and `Categorical` to `Categorical`" begin
+    using BayesBase, ExponentialFamily, Distributions
+
+    include("./projected_to_setuptests.jl")
+
+    @testset let distribution = ProductOf(Categorical([3/7, 2/7, 2/7]), Categorical([1/8, 3/8, 1/2]))
+        test_projection_convergence(distribution, to = Categorical, dims = (), conditioner = 3)
+    end
+end
+
+
+
+@testitem "MLE" begin
+    using BayesBase, ExponentialFamily, Distributions, JET
+    using ExponentialFamilyProjection
+
+    include("./projected_to_setuptests.jl")
+
+    @testset let distribution = Categorical([1/3, 1/3, 1/3])
+        @test test_projection_mle(distribution)
+    end
+
+    @testset let distribution = Categorical([1/6, 3/6, 2/6])
+        @test test_projection_mle(distribution)
+    end
+
+    @testset let distribution = Categorical([1/16, 1/2, 1/4, 3/16])
+        @test test_projection_mle(distribution)
+    end
+
+    @testset let distribution = Categorical([1/12, 1/3, 1/12, 1/6, 1/3])
+        @test test_projection_mle(distribution)
+    end
+
+ 
+end
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