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What are some toy models I can use in R?

C W
Hi everyone,

I am searching for some toy models in R.  My goal is do to model checking.

For example,

My data come from statistical model N(5, 2), with n=100, call this model_1
Then, I add bias to that data with N(3, 1), with n=100, call this model_2

Ultimately, I want to see model_1+ model_2 gives good prediction or perhaps
parameter estimation.

I think this is a pretty standard statistical analysis problem?

How do people on this list deal with it?  Any suggestions?

Thank you,

Mike