I have calculated Weibull parameters namely, shape parameter and scale parameter using five numerical methods: graphical, moment, maximum likelihood, empirical and energy pattern factor methods. Since I need to compare these methods to find out best method, I need to calculate RMSE and $R^2$ for each method.
But even if I know the formulas for RMSE and $R^2$, I am not being able calculate as I am confused and a bit unfamiliar with the terms used in those formulas. Please refer the following research journal and I want to clearly understand about 'Prediction performance of Weibull distribution model' section of the journal.
My queries regarding 'statistical tests' are:
- How do you calculate 'frequency of weibull' or sometimes it says 'predicted data' ?
- To calculate RMSE and $R^2$, do we use frequency of the data ( observed and predicted) or actual data (e.g wind speed, temperature)?