# ArbitraryNumberImputer#

The `ArbitraryNumberImputer()`

replaces missing data with an arbitrary numerical
value determined by the user. It works only with numerical variables.

The `ArbitraryNumberImputer()`

can find and impute all numerical variables
automatically. Alternatively, you can pass a list of the variables you want to impute
to the `variables`

parameter.

You can impute all variables with the same number, in which case you need to define
the variables to impute in the `variables`

parameter and the imputation number in
`arbitrary_number`

parameter. For example, you can impute varA and varB with 99
like this:

```
transformer = ArbitraryNumberImputer(
variables = ['varA', 'varB'],
arbitrary_number = 99
)
Xt = transformer.fit_transform(X)
```

You can also impute different variables with different numbers. To do this, you need to
pass a dictionary with the variable names and the numbers to use for their imputation
to the `imputer_dict`

parameter. For example, you can impute varA with 1 and varB
with 99 like this:

```
transformer = ArbitraryNumberImputer(
imputer_dict = {'varA' : 1, 'varB': 99]
)
Xt = transformer.fit_transform(X)
```

Below a code example using the House Prices Dataset (more details about the dataset here).

First, let’s load the data and separate it into train and test:

```
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from sklearn.model_selection import train_test_split
from feature_engine.imputation import ArbitraryNumberImputer
# Load dataset
data = pd.read_csv('houseprice.csv')
# Separate into train and test sets
X_train, X_test, y_train, y_test = train_test_split(
data.drop(['Id', 'SalePrice'], axis=1),
data['SalePrice'],
test_size=0.3,
random_state=0,
)
```

Now we set up the `ArbitraryNumberImputer()`

to impute 2 variables from the
dataset with the number -999:

```
# set up the imputer
arbitrary_imputer = ArbitraryNumberImputer(
arbitrary_number=-999,
variables=['LotFrontage', 'MasVnrArea'],
)
# fit the imputer
arbitrary_imputer.fit(X_train)
```

With `fit()`

, the transformer does not learn any parameter. It just assigns the imputation
values to each variable, which can be found in the attribute `imputer_dict_`

.

With transform, we replace the missing data with the arbitrary values both in train and test sets:

```
# transform the data
train_t= arbitrary_imputer.transform(X_train)
test_t= arbitrary_imputer.transform(X_test)
```

Note that after the imputation, if the percentage of missing values is relatively big, the variable distribution will differ from the original one (in red the imputed variable):

```
fig = plt.figure()
ax = fig.add_subplot(111)
X_train['LotFrontage'].plot(kind='kde', ax=ax)
train_t['LotFrontage'].plot(kind='kde', ax=ax, color='red')
lines, labels = ax.get_legend_handles_labels()
ax.legend(lines, labels, loc='best')
```

## More details#

In the following Jupyter notebook you will find more details on the functionality of the
`ArbitraryNumberImputer()`

, including how to select numerical variables automatically.
You will also see how to navigate the different attributes of the transformer.

All notebooks can be found in a dedicated repository.