Synopsis
The analysis of covariance is a wonderful, clever, perhaps ingenious and inspirational technique for using statistical projections to adjust predictor variables in groups which are biased due to inequities in variables initially used to create these groups. In biology, psychology, sociology, business, psycho-dynamics in human relations, and medicine, for example, groups used in experiments are often not equated on initial variables which can be experimentally controlled. Therefore, these inequities on initial variables ordinarily would bias results when different treatments are applied to these groups. However, using analysis of covariance, through a fascinating statistical application of projections, these diverse groups can be balanced through solely statistical means, to give highly accurate group comparisons.
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