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functions.py
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import numpy as np
import pandas as pd
from statsmodels.formula.api import ols
import os
from scipy.stats import pearsonr
from sklearn import preprocessing
def load_data(year_start,year_end):
data = pd.read_csv('../data_processed/data_processed.csv',sep=';',low_memory=False)
data = data[(data['fyear']>=year_start)&(data['fyear']<=year_end)].reset_index(drop=True)
# Checking if all is unique
unique_company_id = data.groupby(['company_id','fyear']).size().reset_index()
temp = unique_company_id[0].unique()
if len(temp)!=1:
print('WARNING: not all company_id-fyear unique')
return data
# https://stackoverflow.com/questions/25571882/pandas-columns-correlation-with-statistical-significance
def calculate_pvalues(df):
df = df.dropna()._get_numeric_data()
dfcols = pd.DataFrame(columns=df.columns)
pvalues = dfcols.transpose().join(dfcols, how='outer')
for r in df.columns:
for c in df.columns:
pvalues[r][c] = round(pearsonr(df[r], df[c])[1], 4)
return pvalues
def make_descriptives(temp_df):
df_descriptives = pd.DataFrame()
df_descriptives['Mean'] = np.mean(temp_df,axis=0)
df_descriptives['Std'] = np.std(temp_df,axis=0)
df_descriptives['Min'] = np.min(temp_df,axis=0)
df_descriptives['1 per'] = np.nanquantile(temp_df,0.01,axis=0)
df_descriptives['5 per'] = np.nanquantile(temp_df,0.05,axis=0)
df_descriptives['25 per'] = np.nanquantile(temp_df,0.25,axis=0)
df_descriptives['50 per'] = np.nanquantile(temp_df,0.50,axis=0)
df_descriptives['75 per'] = np.nanquantile(temp_df,0.75,axis=0)
df_descriptives['95 per'] = np.nanquantile(temp_df,0.95,axis=0)
df_descriptives['99 per'] = np.nanquantile(temp_df,0.99,axis=0)
df_descriptives['Max'] = np.max(temp_df,axis=0)
return df_descriptives
def add_tailing_zeros_decimals(num,num_decimals):
while len(num[num.rfind('.')+1:])!=num_decimals:
num = num+'0'
return num
def shift_row_to_bottom(col_to_shift,df):
idx = df.index.tolist()
idx.remove(col_to_shift)
df = df.reindex(idx + [col_to_shift])
return df
def model_preparing(X,y,data):
df = pd.concat([X,data['company_id']],axis=1)
df = pd.concat([df,y],axis=1)
for i in X.columns:
if i == X.columns[0]:
string_formula = str(y.name) +' ~ '+i
else:
string_formula = string_formula+' + '+str(i)
return df,string_formula
def regression_rrw(var,data,results_df,model_number,do_standardize,num_decimals,fixed_effects_year,fixed_effects_industry,WCM_proxy):
y = data[var[0]]
X = data[var[1:]]
if do_standardize:
if model_number == '2':
coefs_to_standardize = [
'lnSalesAINT',
'lnSalesEINT',
'lnSalesGDP',
'lnSales'+WCM_proxy,
'DlnSalesAINT',
'DlnSalesEINT',
'DlnSalesGDP',
'DlnSales'+WCM_proxy]
num_in_list = 0
for i in coefs_to_standardize:
num_in_list = num_in_list+int(i in var)
if num_in_list!=len(coefs_to_standardize):
print('ERROR: not all coefficients to standardize is present')
X.loc[:,coefs_to_standardize] = pd.DataFrame(preprocessing.scale(X[coefs_to_standardize]), columns = coefs_to_standardize)
# Add fixed effects
if fixed_effects_year:
temp = pd.get_dummies(data['fyear'].astype(int)).iloc[:,:-1]
for i in temp.columns:
temp=temp.rename(columns = {i:'dy'+str(i)})
X = pd.concat([X,temp],axis=1)
if fixed_effects_industry:
temp = pd.get_dummies(data['industry']).iloc[:,:-1]
for i in temp.columns:
temp=temp.rename(columns = {i:'di'+str(i)})
X = pd.concat([X,temp],axis=1)
df,string_formula = model_preparing(X,y,data)
model = ols(formula=string_formula,data=df).fit(cov_type='cluster', cov_kwds={'groups': df['company_id']})
list_variables = ['Intercept'] + var[1:]
series_coef = pd.Series(dtype=object)
series_t_val = pd.Series(dtype=object)
for i in list_variables:
coef = np.round(model.params[i],num_decimals).astype(str)
coef = add_tailing_zeros_decimals(coef,num_decimals)
series_coef[i] = coef
tval = np.round(model.tvalues[i],num_decimals).astype(str)
tval = add_tailing_zeros_decimals(tval,num_decimals)
pval = model.pvalues[i]
if pval<0.001:
tval = tval+'****'
elif pval<0.01:
tval = tval+'***'
elif pval<0.05:
tval = tval+'**'
elif pval<0.10:
tval = tval+'*'
series_t_val[i] = tval
# Number of observations
series_coef['No. of obs.'] = thousand_seperator(X.shape[0])
# R squared
series_coef['R2'] = np.round(model.rsquared,num_decimals).astype(str)
# Fixed effects
if fixed_effects_year:
series_coef['Year fixed effects'] = 'Yes'
else:
series_coef['Year fixed effects'] = 'No'
if fixed_effects_industry:
series_coef['Industry fixed effects'] = 'Yes'
else:
series_coef['Industry fixed effects'] = 'No'
# Merging coefficient and pvalue results
series_results = pd.concat([series_coef,series_t_val],axis=1)
series_results.columns = ['Model ('+model_number+')','T-test']
# Renaming coefficients
series_results = series_results.rename(index={'Intercept': 'beta0'})
series_results = series_results.rename(index={'lnSales': 'beta1'})
series_results = series_results.rename(index={'DlnSales': 'beta2'})
series_results = series_results.rename(index={'lnSalesAINT': 'gamma_1^1'})
series_results = series_results.rename(index={'lnSalesEINT': 'gamma_1^2'})
series_results = series_results.rename(index={'lnSalesGDP': 'gamma_1^3'})
series_results = series_results.rename(index={'lnSales'+WCM_proxy: 'gamma_1^4'})
series_results = series_results.rename(index={'DlnSalesAINT': 'gamma_2^1'})
series_results = series_results.rename(index={'DlnSalesEINT': 'gamma_2^2'})
series_results = series_results.rename(index={'DlnSalesGDP': 'gamma_2^3'})
series_results = series_results.rename(index={'DlnSales'+WCM_proxy: 'gamma_2^4'})
series_results = series_results.rename(index={'lnSalesPrev': 'beta3'})
series_results = series_results.rename(index={'DlnSalesPrev': 'beta4'})
series_results = series_results.rename(index={'beta_1I': 'beta_1^I'})
series_results = series_results.rename(index={'beta_2I': 'beta_2^I'})
series_results = series_results.rename(index={'beta_1D': 'beta_1^D'})
series_results = series_results.rename(index={'beta_2D': 'beta_2^D'})
results_df = pd.concat([results_df,series_results],axis=1)
return results_df
def make_ratio(numerator,denumerator):
ratio = [None]*len(numerator)
for i in range(len(numerator)):
if denumerator[i]==0:
if numerator[i]>0:
ratio[i] = np.inf
elif numerator[i]<0:
ratio[i] = -np.inf
else: # numerator[i]==0:
ratio[i] = 0
else:
ratio[i] = numerator[i] / denumerator[i]
ratio = pd.Series(ratio)
# Setting inf and -inf to maximum and minimum, respectively, values
ratio = ratio.replace(np.inf,np.max(ratio[ratio != np.inf]))
ratio = ratio.replace(-np.inf,np.max(ratio[ratio != -np.inf]))
return ratio
def winsorize_rrw(data,variables_to_winsorize,interval_winsorizing_ratios):
for var in variables_to_winsorize:
lower = data[var].quantile(interval_winsorizing_ratios[0])
upper = data[var].quantile(interval_winsorizing_ratios[1])
data[var] = data[var].clip(lower=lower, upper=upper)
return data
def exclude_missing_prev_year(num_prev,data,sample_selection_series):
col_name_1 = 'Excluding if no firm-year observation the previous year'
col_name_2 = 'Excluding if no firm-year observation the two previous years'
if (num_prev==1)|(num_prev==2):
ind = pd.isnull(data['sales_prev'])==False
data = data[ind]
data = data.reset_index(drop=True) # Reset index
sample_selection_series[col_name_1] = thousand_seperator(np.sum(ind==False))
if num_prev==2:
ind = pd.isnull(data['sales_prev_prev'])==False
data = data[ind]
data = data.reset_index(drop=True) # Reset index
sample_selection_series[col_name_2] = thousand_seperator(np.sum(ind==False))
else:
sample_selection_series[col_name_2] = None
if (num_prev!=1)&(num_prev!=2):
print('ERROR defining num_prev in function exclude_missing_prev_year()')
return data,sample_selection_series
def thousand_seperator(number):
return "{:,.0f}".format(number)
def removing_zero_and_negative_ratios(var_log,var_CCC,data,sample_selection_series,WCM_proxy):
obs_before = data.shape[0]
for var in var_log:
ind = data[var]<=0
ind = ind | (data[var].isnull())
data = data[ind==False]
data = data.reset_index(drop=True) # Reset index
col_name = 'Excluding zero for accounting items used in log-ratios'
sample_selection_series[col_name] = thousand_seperator(obs_before-data.shape[0])
col_name = 'Excluding zero for accounting items used as denominator in '+WCM_proxy
if len(var_CCC)>0:
obs_before = data.shape[0]
for var in var_CCC['num']:
ind = data[var].isnull()
data = data[ind==False]
data = data.reset_index(drop=True) # Reset index
for var in var_CCC['denum']:
ind = data[var]<=0
ind = ind | (data[var].isnull())
data = data[ind==False]
data = data.reset_index(drop=True) # Reset index
sample_selection_series[col_name] = thousand_seperator(obs_before-data.shape[0])
else:
sample_selection_series[col_name] = None
return data,sample_selection_series
def sample_selection(data,num_prev,var_log,var_CCC,model_number,sample_selection_table,WCM_proxy):
sample_selection_series = pd.Series(dtype=float)
text_initial_sample = 'All firm-years of non-financial firms'
sample_selection_series[text_initial_sample] = thousand_seperator(data.shape[0])
# we include only firm-year observations of firms where
# also a firm-year from the previous accounting year is available
data,sample_selection_series = exclude_missing_prev_year(num_prev,data,sample_selection_series)
# Removing zero and negative
data,sample_selection_series = removing_zero_and_negative_ratios(var_log,var_CCC,data,sample_selection_series,WCM_proxy)
# Adding final sample size and merging with table
sample_selection_series['Final sample'] = thousand_seperator(data.shape[0])
sample_selection_table['Model '+model_number] = sample_selection_series
return data,sample_selection_table