Examining the influence of global health crises, pandemic responses, and international health organizations on state sovereignty, public health policies, and collaborative efforts within the realm of international relations in Political Science and International Relations (PSIR) requires a comprehensive analysis of various strategies. Below are some strategies that can be used to examine this influence:

1. Comparative Analysis:
- Conduct a comparative analysis of different countries' responses to global health crises, such as the COVID-19 pandemic, to understand the impact on state sovereignty and public health policies.
- Compare the policies and measures adopted by countries with varying levels of state sovereignty and assess the effectiveness of these policies in mitigating the crisis.
- Analyze the role of international health organizations, such as the World Health Organization (WHO), in guiding and influencing national responses.

2. Case Studies:
- Undertake case studies of specific global health crises, such as the Ebola outbreak in West Africa, to understand the impact on state sovereignty, public health policies, and collaborative efforts.
- Analyze the response of international health organizations, regional bodies, and individual states in managing the crisis, and assess the implications for state sovereignty and collaborative efforts.

3. Policy Analysis:
- Analyze national public health policies and their alignment with international health guidelines and recommendations.
- Assess the influence of international health organizations on the formulation and implementation of these policies.
- Examine the trade-offs between state sovereignty and adherence to global health standards in the context of public health emergencies.

4. Stakeholder Analysis:
- Identify and analyze the key stakeholders involved in global health crises and pandemic responses, including states, international health organizations, non-governmental organizations, and the private sector.
- Assess their roles, interests, and power dynamics in shaping state sovereignty, public health policies, and collaborative efforts.
- Evaluate the effectiveness of collaborative efforts in addressing global health crises and the challenges faced in coordinating international responses.

5. Historical Analysis:
- Conduct a historical analysis of past global health crises and their impact on state sovereignty, public health policies, and collaborative efforts.
- Identify patterns and trends in the relationship between global health crises, state sovereignty, and international cooperation.
- Understand how lessons from previous crises have influenced the response to current health emergencies.

By employing these strategies, a comprehensive examination of the influence of global health crises, pandemic responses, and international health organizations on state sovereignty, public health policies, and collaborative efforts within the realm of international relations can be achieved in PSIR.