Final answer:
The correct statistical test for comparing the results of three separate medical treatments is one-way ANOVA, provided the underlying assumptions of the test are met.
Step-by-step explanation:
The proper analysis to apply to the results of an experiment comparing 3 separate medical treatments is a one-way ANOVA. This analysis is appropriate as it is used to test whether the means of three or more populations are equal. The main assumptions that must be met for one-way ANOVA include: all populations must be normally distributed; the populations should have equal standard deviations; samples must be randomly and independently selected; and the test should involve one independent variable and one dependent variable. When the assumption of equal variances is violated, as stated in your information, further statistical testing is necessary to validate the analysis before proceeding with one-way ANOVA.