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Adjusted Mean Definition

It can be defined as the statistical averages that have been corrected to compensate for data imbalances which are present in data sets that will be removed. They have a large impact on the calculated means of small populations where an adjusted mean can be determined by removing these outlier figures and so it is an also called "least squares means" as they are calculated using multiple regression equations.

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For example, in studying both men and women who participate in a particular behavior or activity, it is to adjust the data to account for the impact of gender on the results and without using adjusted means, results that might be attributable to participating in a certain activity or behavior could be skewed by the impact of participants' gender.

In this example, men, as well as women, would be considered covariates and the type of variable that the researcher cannot control but that affects an experiment's results and by using adjusted means it compensates for the covariates to see what the effect of the activity or behavior would be if there were no differences between the genders.

They are the means that have been corrected for such imbalances and so they are called least squares means as the adjusted means are predicted values from multiple regression equations and hence the name least squares mean. The equation contains categorical predictors that are factors as well as numerical predictors which are covariates.

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The standard practice is to estimate adjusted means by plugging in the mean value of any covariate to estimate the mean response for all combinations of the factors and taking simple means of these estimates over factor levels and those familiar with directly standardized rates will see that this is essentially the same operation.

In order to understand how the adjusted mean is calculated, consider the study of the cholesterol levels of omnivores and vegans and the data for that is given, then the adjusted mean cholesterol level for omnivores is calculated by taking the simple mean of the mean cholesterol levels for male omnivores and female omnivores and similarly for vegans.

The calculations reflect the notion that, instead of the imbalance in sample sizes, the estimates of the cholesterol levels of male and female omnivores and vegans are given as the adjusted means simply average them.

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