The Bradford Hill criteria serve as guidelines for establishing causative links in epidemiological research. Beyond Strength, Consistency, Specificity, and Temporality, key criteria also include Biological Gradient, Plausibility, Coherence, Experiment, and Analogy. These principles assist scientists in assessing the likelihood of causation in complex biological contexts. Below is a summary of these concepts:

1. Biological Gradient: Also known as the dose-response relationship, this criterion indicates that as exposure increases, so should the risk of the effect. For example, higher levels of cigarette smoke inhalation correspond to a higher risk of lung cancer, demonstrating a clear biological gradient.
2. Plausibility: This requires that the association aligns with current biological knowledge. For instance, the carcinogenic effects of tobacco smoke are biologically plausible, given the known toxic constituents in tobacco and their effects on cells.
3. Coherence: The proposed cause-and-effect relationship should not contradict established knowledge about the disease's biology and progression. For example, the link between HPV (Human Papillomavirus) and cervical cancer aligns coherently with the known progression from HPV infection to cancerous lesions.
4. Experiment: Experimental evidence can support causality. Controlled trials, such as those showing decreased lung cancer rates following smoking cessation, illustrate how intervention studies can clarify causal links.
5. Analogy: When a similar factor is known to cause a particular effect, it may be reasonable to investigate whether a new factor could cause a similar outcome. For instance, once certain chemicals were known to disrupt the endocrine system, scientists were prompted to explore other substances with similar effects.

While not definitive or exhaustive, these criteria provide a robust framework for evaluating causation across various types of studies, guiding researchers through the complexities of epidemiological and public health investigations.