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Appendix B: Combined Statistics
S T A T I S T I C S
Combined Statistics for Imputed Data sets
Pressing the Combined tab in a data page displays the statistics computed using the results of
the M analyses. Each statistic is first combined across the M results. Each displayed statistic is
then followed by a series of diagnostics useful in assessing the effect of the missing data on the
statistical result.
For example, if the mean is computed in a Descriptive Statistics output, the associated combined
statistics for the mean include:
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The average of the M computed means, its total variance Τm , and its total
standard error
Τm .
The Diagnostics include:
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The between imputation variance (Bm), the between imputation standard error
(sqrt(Bm)), the relative increase in variance due to missing data(rm), sqrt(rm), and
the fraction of information missing due to missing data γ .
The statistics that are combined for each analysis are listed below.
Descriptive Statistics
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Mean, C.I. for mean, Standard deviation, Standard error of mean, Variance
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Coefficient of variation, Skewness, Kurtosis, Median, Quartiles
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Interquartile range, Proportion
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Serial Correction
t and Non-parametric Tests
Descriptive Statistics
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Means
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Standard deviations
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Standard errors of the means
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Confidence intervals for the means
Two-group
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Pooled Variance t-test including t- value, df and p-values
Imputation User Manual 51