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Mean and Mean difference are the two key statistical measures used in the statistical analysis. Both are essential for meta-analysis as well. Mean and Mean difference are used for the interpretation of a large set of values into a single number which explains the heterogeneity and variation among the individual values. However, one of a common challenge in meta-analysis is the unavailability of this data (mean and standard deviation).

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Meta Analysis

Q: How can SD be estimated when only effect estimates with confidence intervals (CI) are available?

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  • The SE can be derived from the CI of the reported difference.
  • If the statistical test is known, the appropriate conversion method should be used.
  • If the test is not specified, sample size can guide formula selection:
    • Sample size ≥ 60 → Use z-distribution (Formula 2).
    • Sample size < 60 → Use t-distribution (Formula 4).
  • Once SE is determined, within-group SD can be estimated using Formula 20.

Formula-2

Formula-4

fromula-20

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