Some times we want to conduct a reliability study on some diagnostic modality for a specific disease but the gold standard for the diagnosis of that disease is either invasive procedure or surgery. which is not justified to be performed on normal individuals (control group). In such a case is it justified to take control group as negative of the gold standard?
For example:
We want to diagnose Infantile Hypertrophoid pyloric stenosis (IHPS) with the help of ultrasound but the gold standard for its diagnosis is surgery. If we perform Ultrasound of 50-infants with projectile vomiting and the sonographic findings of 40 of them are likely for IHPS and 10 for normal. But after surgery (Gold-Standard) 38- were confirmed as IHPS but 2 were false positive. Now we want to perform ultrasound of 50-normal (control). Is it justified to put all the 50 normal infant as True negative and false positive as 0 of the gold Standard, To perform chi-Square statistics?