This seems like the easiest of the suggested blog topics; of course applied research is more valuable that theoretical research! I really don’t see the point of research if you’re never going to do anything practical with it. Of course all research, applied or not, will only every be a theory, as theories can never be 100% proved or disproved, however at least applied research tries to carry on finding more and more information to add to the underlying theory and can be put into practise for the benefit of others.
Good examples of applied research include medicine, cognitive behavioural therapy and ways to improve the growth of crops. http://www.lbl.gov/Education/ELSI/Frames/research-applied-history-f.html
Applied research can be used to improve all areas of society, and because of this I do believe it to be more valuable overall. However, there are some areas where theory is necessary in order to help the applied research. For example; doctors must know the theory behind illness and disease in order to be able to apply the right medicine to treat patients. This is one of many cases where theoretical research is valuable, however it needs to be used in harmony with applied research.
In fact both types of research depend on each other to work and be of any value, as theory needs to be established to create application, and application needs a theory behind it to exist. Nevertheless, applied research still makes more of a difference, practically, to the improvement of society, health and agriculture and therefore is more valuable.