How to design a mathematical model
Stage 1. Recognition of a real-world problem.
Stage 2. A statistical model is devised.
Stage 3. Model used to make predictions.
Stage 4. (Experimental) data collected.
Stage 5. Comparisons are made against the devised model.
Stage 6. Statistical concepts are used to test how well the model descrbes the real-world problem.
Stage 7. Model is refined.