That depends on the theoratical foundations of your study as well as on research questions of the study.Are you interested in comparing the differences in their budgeting, or the factors that shape their budgeting behaviors .There are so many other aspects that can be studied.so firstly you are supposed to clearly define your topic or in other words operationalize your study.
GRB initiatives seek to create a direct linkage between social and economic policies through the application of a gender analysis to the formulation and implementation of government budgets. A gender analysis can also demonstrate the ways in which social institutions that are seemingly “gender neutral” do in fact bear and transmit gender biases. Gender budget analyses can be applied to gender specific expenditures, expenditures that promote gender equity within the public service and general or mainstream expenditures
If this is a macro-level public policy, public sector budget study then there are lots of sources to consider:
Seguino, S., Folbre, N., Grown, C., Montes, M., & Walters, B. (2009). The global economic crisis, its gender implications, and policy responses. Gender Perspectives on the Financial Crisis Panel at the Fifty-Third Session of the Commission on the Status of Women, United Nations, 7.
Brennan, D. (2007). Babies, budgets, and birthrates: Work/family policy in Australia 1996–2006. Social politics: international studies in gender, state & society, 14(1), 31-57.
Bakker, I. C., & Canadian Centre for Policy Alternatives. (2006). Gender budget initiatives: Why they matter in Canada. Canadian Centre for Policy Alternatives= Centre canadien en politiques alternatives.
Marks Rubin, M., & Bartle, J. R. (2005). Integrating gender into government budgets: A new perspective. Public Administration Review, 65(3), 259-272.
Elson, D. (2004). Engendering Government Budgets in the Context of Globalization (s). International Feminist Journal of Politics, 6(4), 623-642.
Çeagatay, N. (2003). Gender budgets and beyond: feminist fiscal policy in the context of globalisation. Gender & Development, 11(1), 15-24.
True, J. (2003). Mainstreaming gender in global public policy. International Feminist Journal of Politics, 5(3), 368-396.
Sarraf, F. (2003). Gender-responsive government budgeting.
Sharp, R., & Broomhill, R. (2002). Budgeting for equality: The Australian experience. Feminist economics, 8(1), 25-47.
Budlender, D. (2000). The political economy of women's budgets in the South. World Development, 28(7), 1365-1378.
Esim, S. (2000, April). Impact of government budgets on poverty and gender equality. In Inter-Agency Workshop on Improving the Effectiveness of Integrating Gender into Government Budgets, April (pp. 26-27).