For multiple measuring instruments to measure the same test at the same time to obtain simultaneous test data, a single-term classification random-effects model was established: yij=μ+μi+eij(i=1,...,n, j=1,...,m), εij, iid.~N(0, σ2j). μi, iid.~N(0, σ20), and εij and μi are independent, i=1,...,n, j=1,...,m. The multivariate statistical analysis method was used to give the equality test H0:σ21=...=σ2m μ. μ, αi, βj are fixed effects, εij, iid.~N(0, σ2) made a consistency test for the systematic error of the instrument, that is, h’0:β1=...=