Need information on different tests to be known for different Models



I have a question on different tests needed for a model:

Here i mean Tests like “HOSMER LEMESHOW TEST”.

my questions are:

  1. What are the different tests for different models?Is certain test fits most of the model?
  2. What are the advantages of these tests? real time scenario (in companies), how much importance given to these tests?Are they integral part of our modelling?
    4.if there are many tests, pls provide good resource links/guides.