Mean Lack of Accuracy (MLA)

It estimates the MLA, the systematic error component to the Mean Squared Error (MSE), for a continuous predicted-observed dataset following Correndo et al. (2021).

Usage

MLA(data = NULL, obs, pred, tidy = FALSE, na.rm = TRUE)

Arguments

data

(Optional) argument to call an existing data frame containing the data.

obs

Vector with observed values (numeric).

pred

Vector with predicted values (numeric).

tidy

Logical operator (TRUE/FALSE) to decide the type of return. TRUE returns a data.frame, FALSE returns a list; Default : FALSE.

na.rm

Logic argument to remove rows with missing values (NA). Default is na.rm = TRUE.

Value

an object of class numeric within a list (if tidy = FALSE) or within a data frame (if tidy = TRUE).

Details

The MLA represents the systematic (bias) component of the MSE. It is obtained via a symmetric decomposition of the MSE (invariant to predicted-observed orientation) using a symmetric regression line. The MLA is equal to the sum of systematic differences divided by the sample size (n). The greater the value the greater the bias of the predictions. For the formula and more details, see online-documentation

References

Correndo et al. (2021). Revisiting linear regression to test agreement in continuous predicted-observed datasets. Agric. Syst. 192, 103194. doi:10.1016/j.agsy.2021.103194

Examples

# \donttest{
set.seed(1)
X <- rnorm(n = 100, mean = 0, sd = 10)
Y <- X + rnorm(n=100, mean = 0, sd = 3)
MLA(obs = X, pred = Y)
#> $MLA
#> [1] 0.2095862
#> 
# }