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The “play of chance” is described and sources of bias in how data are prepared for analysis (grouping and categorization) is a common source of bias. Multiple comparison bias is another frequently observed bias but problems with a companion bias – subgroup analysis – are less well known. Statistical analysis depends on having independent observations, or some method of accounting for dependency, and this too is a commonplace error and source of bias; it especially threatens meta-analyses. Bias is introduced when the wrong statistical unit is analyzed because “clustering” in the data has been ignored, reducing independency.
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