I have a dichotomous outcome (not cancer/cancer) and I want to analyze the influence of 5 different variables (2 continous and 3 categorical) in predicting one of the outcomes (cancer). For that I ran a binomial logistic regression on SPSS and I got the following results:

- Wald test was statistically significant

- Omnibus model was also statistically significant

- Hosmer and Lemeshow was not statistically significant (which I learned is good)

- I got about 80% corret prediction in the second classification table (it was about 65% in the first classification table)

Up until this point my model seems good to predict the outcome right?

My problem is when I go to the last table (variables in the equation), none of my variables are significant. I ran the test with each variable isolated and two of them are significant, but when I run the test with all variables together they loose significance.

So is my model not good after all? Should I only run the test with my 2 significant variables? (I tried that and 1 of the 2 looses statistical significance). My sample size is 50, could this influence the test?

Bare with me that my statistics class didn't really go into details about logistic models, only regression in general and all I know is basically from watching youtube tutorials.

Any help is apreciated!