Pool together the results from M complete-data analyses according to Rubin's rules. See details.
rubin_rules(ests, ses, v_com, method)A list containing:
est_point: the pooled point estimate according to Little-Rubin (2002).
var_t: total variance according to Little-Rubin (2002).
df: degrees of freedom according to the selected method.
Numeric vector containing the point estimates from the complete-data analyses.
Numeric vector containing the standard errors from the complete-data analyses.
Positive number representing the degrees of freedom in the complete-data analysis.
Degrees-of-freedom approximation to use: "barnard-rubin" applies
the Barnard-Rubin (1999) small-sample adjustment and "rubin" applies
Rubin's (1987) original approximation.
rubin_rules applies Rubin's rules (Rubin, 1987) for pooling together
the results from a multiple imputation procedure. The pooled point estimate est_point is
is the average across the point estimates from the complete-data analyses (given by the input argument ests).
The total variance var_t is the sum of two terms representing the within-variance
and the between-variance (see Little-Rubin (2002)). The function
also returns df, the estimated pooled degrees of freedom according to the
selected method, which can be used for inference based on the t-distribution.
Barnard, J. and Rubin, D.B. (1999). Small sample degrees of freedom with multiple imputation. Biometrika, 86, 948-955
Roderick J. A. Little and Donald B. Rubin. Statistical Analysis with Missing Data, Second Edition. John Wiley & Sons, Hoboken, New Jersey, 2002. [Section 5.4]
Rubin, D.B. (1987). Multiple Imputation for Nonresponse in Surveys. John Wiley & Sons, New York. [Section 3.3]
rubin_df() for the degrees of freedom estimation.