Whathappens to the Ricci curvature, the scalar curvature, and Einstein tensor if I change the signs in the def of the Riemann curvature tensor?

Question

I noticed some books define the Riemann curvature tensor with opposite signs on all $3$ terms. I wonder what happens to the Ricci curvature, the scalar curvature, and the Einstein tensor when using one or other definition? Would they also change sign? And if I change the signs of the metric from mostly plus to mostly minus?