The most common Mean is the arithmetic mean. If we say ‘Mean’, it is the default for arithmetic mean.
Arithmetic Mean is calculated as the sum of all measurements (all observations) divided by the number of observations in the data set.
- log-transform the original data
- calculate the arithmetic mean of the log-transformed data
- back transform the calculated value to the original scale
The harmonic mean are calculated with the following steps:
Least Squares Mean is a mean estimated from a linear model. Least squares means are adjusted for other terms in the model (like covariates), and are less sensitive to missing data. Theoretically, they are better estimates of the true population mean.
Trimmed Mean may also be called truncated mean and is the arithmetic mean of data values after a certain number or proportion of the highest and/or lowest data values have been discarded. The data values to be discarded can be one-sided or two-sided.
The key for trimmed mean calculation is to determine the percentage of data to be discarded and whether or not the data to be discarded is one-sided or two-sided. The percentage of data to be discarded may be tied to the percentage of missing data.