Since Spearman published two studies in 1904, classical test theory (CTT) had been developed and matured, and the concept of reliability had also been established. Among the methods proposed to estimate the reliability, the coefficient alpha proposed by Cronbach (1951) had emerged to be the most popular one. However, most of those who employed coefficient alpha to estimate the test reliability may not be familiar to the theory foundation. In this paper, the nature and limitation of coefficient alpha had been explicated; and some other reliability estimates, such as,λ₁,λ₂,λ₃,λ₄,λ₅,λ₆,β,ωₜ,ωₕ,and Θ were also introduced. It is suggested that when reporting the reliability for an empirical study, other indices should be presented together with coefficient alpha.