Key points are not available for this paper at this time.
K. H. Li, T. E. Raghunathan, D. B. Rubin, Large-Sample Significance Levels from Multiply Imputed Data Using Moment-Based Statistics and an F Reference Distribution, Journal of the American Statistical Association, Vol. 86, No. 416 (Dec., 1991), pp. 1065-1073
Li et al. (Sun,) studied this question.