| fit_bunching | R Documentation | 
Fit bunching model to (binned) data and estimate excess mass.
fit_bunching(thedata, themodelformula, binwidth, notch = FALSE, zD_bin = NA)
| thedata | (binned) data that includes all variables necessary for fitting the model. | 
| themodelformula | formula to fit. | 
| binwidth | a numeric value for the width of each bin. | 
| notch | whether analysis is for a kink or notch. Default is FALSE (kink). | 
| zD_bin | the bin marking the upper end of the dominated region (notch case). | 
fit_bunching returns a list of the following results:
| coefficients | The coefficients from the fitted model. | 
| residuals | The residuals from the fitted model. | 
| cf_density | The estimated counterfactual density. | 
| bunchers_excess | The estimate of the excess mass (not normalized). | 
| cf_bunchers | The counterfactual estimate of counts in the bunching region. | 
| b_estimate | The estimate of the normalized excess mass. | 
| bins_bunchers | The number of bins in the bunching region. | 
| model_formula | The model formula used for fitting. | 
| B_zl_zstar | The count of bunchers in the bunching region below and up to zstar. | 
| B_zstar_zu | The count of bunchers in the bunching region above zstar. | 
| alpha | The estimated fraction of bunchers in the dominated region (only in notch case.) | 
| zD_bin | The value of the bin which zD falls in. | 
bunchit, prep_data_for_fit
data(bunching_data)
binned_data <- bin_data(z_vector = bunching_data$kink, zstar = 10000,
                        binwidth = 50, bins_l = 20, bins_r = 20)
prepped_data <- prep_data_for_fit(binned_data, zstar = 10000, binwidth = 50,
                                  bins_l = 20, bins_r = 20, poly = 4)
fitted <- fit_bunching(thedata = prepped_data$data_binned,
                       themodelformula = prepped_data$model_formula,
                       binwidth = 50)
# extract coefficients
fitted$coefficients
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