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Compute degrees of freedom according to the Barnard-Rubin formula.

Usage

rubin_df(v_com, var_b, var_t, M)

Arguments

v_com

Positive number representing the degrees of freedom in the complete-data analysis.

var_b

Between-variance of point estimate across multiply imputed datasets.

var_t

Total-variance of point estimate according to Rubin's rules.

M

Number of imputations.

Value

Degrees of freedom according to Barnard-Rubin formula. See Barnard-Rubin (1999).

Details

The computation takes into account limit cases where there is no missing data (i.e. the between-variance var_b is zero) or where the complete-data degrees of freedom is set to Inf. Moreover, if v_com is given as NA, the function returns Inf.

References

Barnard, J. and Rubin, D.B. (1999). Small sample degrees of freedom with multiple imputation. Biometrika, 86, 948-955.