Dear fellow R users,
I am struggling with the task of quantifying the statistical significance of 
changes in a discrete distribution over time.  If I was to measure e.g. the age 
distribution of people entering a building on a daily basis, I would naturally 
observe fluctuations in that distribution. Clearly, small variations would be 
interpreted as "sampling noise" whereas major shifts would indicate sth. more 
substantial. How would I quantify this ? 
Would a ChiSquare test be an appropriate test for testing overall stationarity 
? Or a two-way ANOVA decomposition ?
Also, what if wanted to test specific days for significant deviation from my 
Null model instead of overall ?
I am familiar with univariate time series change point detection algorithms but 
am not clear on how to translate these tools to the constrained/multivariate 
distribution setting.

Thanking you!

Markus

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