Hello, you have one independent factor "food price" and one dependent factor "food security", in this case i think that one way ANOVA should be fine, if you are collecting data more than once "example, in January, March" so you have to do ANOVA between groups and within groups, some times this called two way ANOVA.
Hi. you can receive to your aim by demand function analysis and elasticity derivation. so, you have one factor for food security, i recommend, Based on the study of Zhihao ZHENG and Shida Rastegari HENNEBERRY, You can use the energy Intake (calorie) as an indicator of food security. Then you need to calculate your nutrition elasticity. Finally, you can check the price effect on food security.
Food security is here response variable. It is therefore required to define food security first. Then, try to measure food security based on that definition and regress with price, income and other socio-economic variables that may affect food security. Generally, food security definition includes four dimension - food availability, food accessibility, food utilization and stabilization.
There is no possible model that can answer this question generally. The situations in Pakistan, Sierra Leone, Zambia for example are completely different in many, many ways. You have to start by building a model of the food and agriculture sector for your country - which is not easy. You have to take into account the sociology of agriculture - who produces food, what makes them sell it, etc. and what happens when they become buyers instead of sellers. And take into account transport, storage, climate risks, etc etc. You may be able to borrow small bits of theory from studies on other countries to tackle some of your sub- markets, but that is all. It is seriously difficult work, and takes years. Have you looked at what has been done in your country, by government and by the agencies who have more resources and expertise than the universities?