  Domain-wall free-energy $\delta F$, entropy $\delta S$, and the correlation
function, $C_{\rm temp}$, of $\delta F$ are measured independently in the
four-dimensional $\pm J$ Edwards-Anderson (EA) Ising spin glass. The stiffness
exponent $\theta$, the fractal dimension of domain walls $d_{\rm s}$ and the
chaos exponent $\zeta$ are extracted from the finite-size scaling analysis of
$\delta F$, $\delta S$ and $C_{\rm temp}$ respectively well inside the
spin-glass phase. The three exponents are confirmed to satisfy the scaling
relation $\zeta=d_{\rm s}/2-\theta$ derived by the droplet theory within our
numerical accuracy. We also study bond chaos induced by random variation of
bonds, and find that the bond and temperature perturbations yield the universal
chaos effects described by a common scaling function and the chaos exponent.
These results strongly support the appropriateness of the droplet theory for
the description of chaos effect in the EA Ising spin glasses.
