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does anyone know if there exists some binary dataset that i can freely download?

If possible, i prefer dataset in textual format and inspired by some real phenomenon.

Thank you in advance,

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There are a number of possibilities for this, please take a look at the literature. I will give you some options below:

The popular Bliss insect data here.

"Modelling binary data" by Collet here.

"Analysis of binary data" by Cox and Snell here

"An Introduction to Generalized Linear Models" by Dobson and Barnett here

Free data sets from JSE here.

In this paper, you can find references to 22 data sets.

In this paper, you can find 31 data sets.

I hope this helps.

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Also see http://hbiostat.org/data, especially data from the Titanic.

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