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I have a data on the weekly percentage of the total quarter bookings. The data looks as follows (note: weekly percentages add up to 100 for each quarter) : enter image description here (not real data)

I used the Ljung-box test to see if the data resemble random data. The Ljung-box test give me a very high p-value (0.7), indicating that the data resembles complete random data.

However if I use the actual numbers of the weekly bookings (not percentage of total quarterly), I get a fairly low p-value in the Ljung-box test, indicating that the data is not random.

Question: Is this expected when using percentages of the total? If so, why?

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