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Minimum sample size for multinomial classifier

@Matthew_Sharp wrote:

I need to build a multinomial classification model based on responses collected from an email survey we are planning to send out.
I need to understand the minimum volume of responders I need to build a robust model.
There are 4 classes that need to be predicted.

Can anyone give a simple explanation and formula for calculating the minimum sample size required for building a robust multiple classification model?

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