Final answer:
The innovation of inverting the order of the middle movements is not found in Haydn's Joke Quartet.
Step-by-step explanation:
The Joke Quartet, also known as Haydn's Quartet in E flat major, Op. 33, No. 2, is a string quartet composed by Joseph Haydn in 1781. This particular quartet is known for its humorous and playful elements, but it does not include the innovation of inverting the order of the middle movements. The other two innovations mentioned, the omission of the slow movement and the scherzo replacing the minuet dance movement, can be found in the Joke Quartet.