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mean()
The mean() function computes the mean of a variable. Example: # Calculate the mean of Thumb mean(Fingers$Thumb) # Alt: use 'data =' argument instead of '$' (produces same output) mean(~Thumb, data = Fingers) Example output:
mean
Mean is the average, the number in the distribution that balances the residuals.
grand mean
Grand mean is the mean for everyone in the sample.
variance
Variance is also called MS, Mean Square; approximated by the sum of squares (SS) divided by the degrees of freedom (i.e., n-1); the MSE from the empty model can be thought of as roughly the average squared deviation.
sqrt()
The sqrt() function computes the square root of a value. Example 1: # Calculate the square root of 157 sqrt(157) Example output: Example 2: # Use sqrt() to get the standard deviation around the mean of Thumb empty_model <- lm(Thumb ~ NULL, data = ...