I have a binomial experiment whereby I’m comparing the diagnostic accuracy of Test 1 against Test 2.

Test 2 comprises of two parts (A and B), with both parts completed a binomial response is given. Yes there is the disease or No there isn’t a disease. However Test 2 is expensive to complete both parts (A+B). So Test 1 comprises of only completing part (A) of Test 2.

The aim of this research is to know is there a statistically significant difference in diagnostic accuracy of Test 1 in comparison to Test 2 when looking at disease type 1 and disease type 2.

I’ve started by comparing each participant’s results from Test 1 (part A) against Test 2 (A+B combined) in order to determine the True Positive, True Negative, False positive and False negative and gone on to work out the sensitivity, specificity and accuracy.

Which statistical test would be most appropriate to calculate if I want to know if there is a statistically significant difference in the diagnostic accuracy of the two test? I'm not sure if I can assume that any difference in accuracy would indicate a statistically significant difference?