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Exactly...
To sum it up, you need to do pre and post-test, by evaluating whatever component of training you decide to focus on (weight loss, body mass gain, flexibility, speed, power, etc...).
Make sure the tests are valid, reliable, and practical..
it depends on your goals.
If your goal is to increase your strength than it would be useful to have some strength tests that you do before and after certain period of training, or you can just simple monitore how much are you progressing week after week without any direct tests.So if the weights on the bar increases you are progressing, if you lift the same weights for months without any progression than you probably need different training approach.
if your goal is to lose weight and to lower body fat percentage than you should measure your weight and body fat, again, before and after some time of training and dieting.You could also take some before and after pictures.
Its really depends on what you want to accomplish and to adjust the monitoring of training process acordingly.