How do scientists use the doppler effect to measure the actual motion of stars?

If the light waves are coming more frequently, then we know the star is moving toward earth. if the light waves are coming more slowly, we know the star is moving away. this is because the star gives the illusion that the light waves are coming at a slower pace when in fact, the frequency is the same the whole time

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After spending all that time on the research then by all means modify the hypothesis or aim by reporting such. for example the findings did not bring forth what was expected but brought about different yet interesting findings worth exploring so the hypothesis is changed to reflect this new findings.

i may be way off but.