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Nonadiabatic strong-field ionization of atoms in circularly polarized laser fields has been used successfully for producing the spin-polarized electrons. We applied those analytical ionization rate formulas in [Ingo Barth and Olga Smirnova, Phys. Rev. A 88, 013401 (2013)] to study more systematically the generation of spin-polarized electrons through strong-field ionization of Kr and Xe atoms in right circularly polarized laser pulses and confirmed that photoelectron energy distributions are quite different for different spin states and the spin polarization of electrons depends sensitively on photoelectron energies. Furthermore, we also show that electrons with up to 100% spin polarization can achieve at the low-energy part of the energy spectra and the energy-integrated spin polarization can be well controlled by adjusting laser intensities and angular frequencies. [ABSTRACT FROM AUTHOR]