Content text 12_02_Binomial Regression.pdf
pacmann.io © 2022 – Pacmann AI 5 Binomial Regression
pacmann.io © 2022 – Pacmann AI 6 Binomial Distribution Let say you apply for a job, you apply 3 times, got accepted 1 time. You are curious whether its good or not. What we can infer in this case : ● We have number of applications → 3 times ● Each application is independent ● We are interested how likely to got accepted 2 times. The phenomenon can be described using Binomial Distribution . To obtain probability of getting 2 jobs from 3 application can be calculated trough its PMF.
pacmann.io © 2022 – Pacmann AI 8 Binomial Distribution In our binomial model what we are going to predict is θi using predictor (Xi ) Is there something wrong with this ? Yes it is ? ● θi is probability which has range from 0 to 1 ● while the result could range from +∞ to -∞ . ● We need link function to shrink θi from +∞ to -∞ to 0 to 1 .