not a very good site to look at lol. All right think of it this way, when a new star is being studied. The first question you need to answer is how far the star is from us. So you determine its redshift, then you need to determine its motion, to isolate redshift due to motion, as well as any potential gravitational redshift. This will isolate the cosmological redshift which is due to expansion. Keep in mind you need to confirm that distance by other means other than redshift, often done by types of parallex or using nearby standard candles. Then you measure the stars Luminosity. There is a relation of a stars luminosity to its temperature, however you also need its spectrum analysis to determine the stars composition to correctly determine the stars temperature, both these measurements are affected by the redshift. All forms of redshift can influence these measurements.
Luminosity is often measured in flux where flux is
f=\frac{L}{4\pi r^2}
However cosmologists typically use a scale called magnitudes. The magnitude scale has been developed so that a 5 magnitude change corresponds to a difference of 100 flux.
there is also a luminosity to distance relation
d^2=\frac{L}{4\pi b}
b is the stars apparent brightness.
Other luminosity relations include, luminosity to mass
http://en.wikipedia.org/wiki/Mass–luminosity_relation
but there is also a luminosity to radius to temperature relation. This is primarily the surface temperature of the star, and is an approximation only, knowing the stars composition and volume (Density) can refine the temperature analysis by using the ideal gas laws, however those calculations can get intense. The luminosity to radius to temperature relation is as follows (at least the one I'm familiar with, been a while)
L=R^2*T^4
here is a good article covering distance measurement according to the cosmic distance ladder, as no one method is suitable to confirm redshift at various distance scales.
http://terrytao.files.wordpress.com/2009/09/cosmic-distance-ladder1.pdf
here is a technical detail concerning the various influences on measurements of the intergalactic medium including stars.
"physics of the intergalactic medium" Highly technical but it covers the various measurement methods and possible errors in those measurements as understood today
http://web.physics.ucsb.edu/~phys233/w2014/errata_p1.pdf
Keep in mind the method I described is only an approximation, The physics of the intergalactic medium is far more accurate and refined to temperature vs a stars composition