Categorical data
This is an introduction to pandas categorical data type, including a short comparisonwith R’s factor
.
Categoricals are a pandas data type corresponding to categorical variables instatistics. A categorical variable takes on a limited, and usually fixed,number of possible values (categories; levels in R). Examples are gender,social class, blood type, country affiliation, observation time or rating viaLikert scales.
In contrast to statistical categorical variables, categorical data might have an order (e.g.‘strongly agree’ vs ‘agree’ or ‘first observation’ vs. ‘second observation’), but numericaloperations (additions, divisions, …) are not possible.
All values of categorical data are either in categories or np.nan. Order is defined bythe order of categories, not lexical order of the values. Internally, the data structureconsists of a categories array and an integer array of codes which point to the real value inthe categories array.
The categorical data type is useful in the following cases:
- A string variable consisting of only a few different values. Converting such a stringvariable to a categorical variable will save some memory, see here.
- The lexical order of a variable is not the same as the logical order (“one”, “two”, “three”).By converting to a categorical and specifying an order on the categories, sorting andmin/max will use the logical order instead of the lexical order, see here.
- As a signal to other Python libraries that this column should be treated as a categoricalvariable (e.g. to use suitable statistical methods or plot types).
See also the API docs on categoricals.
Object creation
Series creation
Categorical Series
or columns in a DataFrame
can be created in several ways:
By specifying dtype="category"
when constructing a Series
:
- In [1]: s = pd.Series(["a", "b", "c", "a"], dtype="category")
- In [2]: s
- Out[2]:
- 0 a
- 1 b
- 2 c
- 3 a
- dtype: category
- Categories (3, object): [a, b, c]
By converting an existing Series
or column to a category
dtype:
- In [3]: df = pd.DataFrame({"A": ["a", "b", "c", "a"]})
- In [4]: df["B"] = df["A"].astype('category')
- In [5]: df
- Out[5]:
- A B
- 0 a a
- 1 b b
- 2 c c
- 3 a a
By using special functions, such as cut()
, which groups data intodiscrete bins. See the example on tiling in the docs.
- In [6]: df = pd.DataFrame({'value': np.random.randint(0, 100, 20)})
- In [7]: labels = ["{0} - {1}".format(i, i + 9) for i in range(0, 100, 10)]
- In [8]: df['group'] = pd.cut(df.value, range(0, 105, 10), right=False, labels=labels)
- In [9]: df.head(10)
- Out[9]:
- value group
- 0 65 60 - 69
- 1 49 40 - 49
- 2 56 50 - 59
- 3 43 40 - 49
- 4 43 40 - 49
- 5 91 90 - 99
- 6 32 30 - 39
- 7 87 80 - 89
- 8 36 30 - 39
- 9 8 0 - 9
By passing a pandas.Categorical
object to a Series
or assigning it to a DataFrame
.
- In [10]: raw_cat = pd.Categorical(["a", "b", "c", "a"], categories=["b", "c", "d"],
- ....: ordered=False)
- ....:
- In [11]: s = pd.Series(raw_cat)
- In [12]: s
- Out[12]:
- 0 NaN
- 1 b
- 2 c
- 3 NaN
- dtype: category
- Categories (3, object): [b, c, d]
- In [13]: df = pd.DataFrame({"A": ["a", "b", "c", "a"]})
- In [14]: df["B"] = raw_cat
- In [15]: df
- Out[15]:
- A B
- 0 a NaN
- 1 b b
- 2 c c
- 3 a NaN
Categorical data has a specific category
dtype:
- In [16]: df.dtypes
- Out[16]:
- A object
- B category
- dtype: object
DataFrame creation
Similar to the previous section where a single column was converted to categorical, all columns in aDataFrame
can be batch converted to categorical either during or after construction.
This can be done during construction by specifying dtype="category"
in the DataFrame
constructor:
- In [17]: df = pd.DataFrame({'A': list('abca'), 'B': list('bccd')}, dtype="category")
- In [18]: df.dtypes
- Out[18]:
- A category
- B category
- dtype: object
Note that the categories present in each column differ; the conversion is done column by column, soonly labels present in a given column are categories:
- In [19]: df['A']
- Out[19]:
- 0 a
- 1 b
- 2 c
- 3 a
- Name: A, dtype: category
- Categories (3, object): [a, b, c]
- In [20]: df['B']
- Out[20]:
- 0 b
- 1 c
- 2 c
- 3 d
- Name: B, dtype: category
- Categories (3, object): [b, c, d]
New in version 0.23.0.
Analogously, all columns in an existing DataFrame
can be batch converted using DataFrame.astype()
:
- In [21]: df = pd.DataFrame({'A': list('abca'), 'B': list('bccd')})
- In [22]: df_cat = df.astype('category')
- In [23]: df_cat.dtypes
- Out[23]:
- A category
- B category
- dtype: object
This conversion is likewise done column by column:
- In [24]: df_cat['A']
- Out[24]:
- 0 a
- 1 b
- 2 c
- 3 a
- Name: A, dtype: category
- Categories (3, object): [a, b, c]
- In [25]: df_cat['B']
- Out[25]:
- 0 b
- 1 c
- 2 c
- 3 d
- Name: B, dtype: category
- Categories (3, object): [b, c, d]
Controlling behavior
In the examples above where we passed dtype='category'
, we used the defaultbehavior:
- Categories are inferred from the data.
- Categories are unordered.To control those behaviors, instead of passing
'category'
, use an instanceofCategoricalDtype
.
- In [26]: from pandas.api.types import CategoricalDtype
- In [27]: s = pd.Series(["a", "b", "c", "a"])
- In [28]: cat_type = CategoricalDtype(categories=["b", "c", "d"],
- ....: ordered=True)
- ....:
- In [29]: s_cat = s.astype(cat_type)
- In [30]: s_cat
- Out[30]:
- 0 NaN
- 1 b
- 2 c
- 3 NaN
- dtype: category
- Categories (3, object): [b < c < d]
Similarly, a CategoricalDtype
can be used with a DataFrame
to ensure that categoriesare consistent among all columns.
- In [31]: from pandas.api.types import CategoricalDtype
- In [32]: df = pd.DataFrame({'A': list('abca'), 'B': list('bccd')})
- In [33]: cat_type = CategoricalDtype(categories=list('abcd'),
- ....: ordered=True)
- ....:
- In [34]: df_cat = df.astype(cat_type)
- In [35]: df_cat['A']
- Out[35]:
- 0 a
- 1 b
- 2 c
- 3 a
- Name: A, dtype: category
- Categories (4, object): [a < b < c < d]
- In [36]: df_cat['B']
- Out[36]:
- 0 b
- 1 c
- 2 c
- 3 d
- Name: B, dtype: category
- Categories (4, object): [a < b < c < d]
Note
To perform table-wise conversion, where all labels in the entire DataFrame
are used ascategories for each column, the categories
parameter can be determined programmatically bycategories = pd.unique(df.to_numpy().ravel())
.
If you already have codes
and categories
, you can use thefrom_codes()
constructor to save the factorize stepduring normal constructor mode:
- In [37]: splitter = np.random.choice([0, 1], 5, p=[0.5, 0.5])
- In [38]: s = pd.Series(pd.Categorical.from_codes(splitter,
- ....: categories=["train", "test"]))
- ....:
Regaining original data
To get back to the original Series
or NumPy array, useSeries.astype(original_dtype)
or np.asarray(categorical)
:
- In [39]: s = pd.Series(["a", "b", "c", "a"])
- In [40]: s
- Out[40]:
- 0 a
- 1 b
- 2 c
- 3 a
- dtype: object
- In [41]: s2 = s.astype('category')
- In [42]: s2
- Out[42]:
- 0 a
- 1 b
- 2 c
- 3 a
- dtype: category
- Categories (3, object): [a, b, c]
- In [43]: s2.astype(str)
- Out[43]:
- 0 a
- 1 b
- 2 c
- 3 a
- dtype: object
- In [44]: np.asarray(s2)
- Out[44]: array(['a', 'b', 'c', 'a'], dtype=object)
Note
In contrast to R’s factor function, categorical data is not converting input values tostrings; categories will end up the same data type as the original values.
Note
In contrast to R’s factor function, there is currently no way to assign/change labels atcreation time. Use categories to change the categories after creation time.
CategoricalDtype
Changed in version 0.21.0.
A categorical’s type is fully described by
categories
: a sequence of unique values and no missing valuesordered
: a booleanThis information can be stored in aCategoricalDtype
.Thecategories
argument is optional, which implies that the actual categoriesshould be inferred from whatever is present in the data when thepandas.Categorical
is created. The categories are assumed to be unorderedby default.
- In [45]: from pandas.api.types import CategoricalDtype
- In [46]: CategoricalDtype(['a', 'b', 'c'])
- Out[46]: CategoricalDtype(categories=['a', 'b', 'c'], ordered=None)
- In [47]: CategoricalDtype(['a', 'b', 'c'], ordered=True)
- Out[47]: CategoricalDtype(categories=['a', 'b', 'c'], ordered=True)
- In [48]: CategoricalDtype()
- Out[48]: CategoricalDtype(categories=None, ordered=None)
A CategoricalDtype
can be used in any place pandasexpects a dtype. For example pandas.read_csv()
,pandas.DataFrame.astype()
, or in the Series
constructor.
Note
As a convenience, you can use the string 'category'
in place of aCategoricalDtype
when you want the default behavior ofthe categories being unordered, and equal to the set values present in thearray. In other words, dtype='category'
is equivalent todtype=CategoricalDtype()
.
Equality semantics
Two instances of CategoricalDtype
compare equalwhenever they have the same categories and order. When comparing twounordered categoricals, the order of the categories
is not considered.
- In [49]: c1 = CategoricalDtype(['a', 'b', 'c'], ordered=False)
- # Equal, since order is not considered when ordered=False
- In [50]: c1 == CategoricalDtype(['b', 'c', 'a'], ordered=False)
- Out[50]: True
- # Unequal, since the second CategoricalDtype is ordered
- In [51]: c1 == CategoricalDtype(['a', 'b', 'c'], ordered=True)
- Out[51]: False
All instances of CategoricalDtype
compare equal to the string 'category'
.
- In [52]: c1 == 'category'
- Out[52]: True
Warning
Since dtype='category'
is essentially CategoricalDtype(None, False)
,and since all instances CategoricalDtype
compare equal to 'category'
,all instances of CategoricalDtype
compare equal to aCategoricalDtype(None, False)
, regardless of categories
orordered
.
Description
Using describe()
on categorical data will produce similaroutput to a Series
or DataFrame
of type string
.
- In [53]: cat = pd.Categorical(["a", "c", "c", np.nan], categories=["b", "a", "c"])
- In [54]: df = pd.DataFrame({"cat": cat, "s": ["a", "c", "c", np.nan]})
- In [55]: df.describe()
- Out[55]:
- cat s
- count 3 3
- unique 2 2
- top c c
- freq 2 2
- In [56]: df["cat"].describe()
- Out[56]:
- count 3
- unique 2
- top c
- freq 2
- Name: cat, dtype: object
Working with categories
Categorical data has a categories and a ordered property, which list theirpossible values and whether the ordering matters or not. These properties areexposed as s.cat.categories
and s.cat.ordered
. If you don’t manuallyspecify categories and ordering, they are inferred from the passed arguments.
- In [57]: s = pd.Series(["a", "b", "c", "a"], dtype="category")
- In [58]: s.cat.categories
- Out[58]: Index(['a', 'b', 'c'], dtype='object')
- In [59]: s.cat.ordered
- Out[59]: False
It’s also possible to pass in the categories in a specific order:
- In [60]: s = pd.Series(pd.Categorical(["a", "b", "c", "a"],
- ....: categories=["c", "b", "a"]))
- ....:
- In [61]: s.cat.categories
- Out[61]: Index(['c', 'b', 'a'], dtype='object')
- In [62]: s.cat.ordered
- Out[62]: False
Note
New categorical data are not automatically ordered. You must explicitlypass ordered=True
to indicate an ordered Categorical
.
Note
The result of unique()
is not always the same as Series.cat.categories
,because Series.unique()
has a couple of guarantees, namely that it returns categoriesin the order of appearance, and it only includes values that are actually present.
- In [63]: s = pd.Series(list('babc')).astype(CategoricalDtype(list('abcd')))
- In [64]: s
- Out[64]:
- 0 b
- 1 a
- 2 b
- 3 c
- dtype: category
- Categories (4, object): [a, b, c, d]
- # categories
- In [65]: s.cat.categories
- Out[65]: Index(['a', 'b', 'c', 'd'], dtype='object')
- # uniques
- In [66]: s.unique()
- Out[66]:
- [b, a, c]
- Categories (3, object): [b, a, c]
Renaming categories
Renaming categories is done by assigning new values to theSeries.cat.categories
property or by using therename_categories()
method:
- In [67]: s = pd.Series(["a", "b", "c", "a"], dtype="category")
- In [68]: s
- Out[68]:
- 0 a
- 1 b
- 2 c
- 3 a
- dtype: category
- Categories (3, object): [a, b, c]
- In [69]: s.cat.categories = ["Group %s" % g for g in s.cat.categories]
- In [70]: s
- Out[70]:
- 0 Group a
- 1 Group b
- 2 Group c
- 3 Group a
- dtype: category
- Categories (3, object): [Group a, Group b, Group c]
- In [71]: s = s.cat.rename_categories([1, 2, 3])
- In [72]: s
- Out[72]:
- 0 1
- 1 2
- 2 3
- 3 1
- dtype: category
- Categories (3, int64): [1, 2, 3]
- # You can also pass a dict-like object to map the renaming
- In [73]: s = s.cat.rename_categories({1: 'x', 2: 'y', 3: 'z'})
- In [74]: s
- Out[74]:
- 0 x
- 1 y
- 2 z
- 3 x
- dtype: category
- Categories (3, object): [x, y, z]
Note
In contrast to R’s factor, categorical data can have categories of other types than string.
Note
Be aware that assigning new categories is an inplace operation, while most other operationsunder Series.cat
per default return a new Series
of dtype category.
Categories must be unique or a ValueError is raised:
- In [75]: try:
- ....: s.cat.categories = [1, 1, 1]
- ....: except ValueError as e:
- ....: print("ValueError:", str(e))
- ....:
- ValueError: Categorical categories must be unique
Categories must also not be NaN
or a ValueError is raised:
- In [76]: try:
- ....: s.cat.categories = [1, 2, np.nan]
- ....: except ValueError as e:
- ....: print("ValueError:", str(e))
- ....:
- ValueError: Categorial categories cannot be null
Appending new categories
Appending categories can be done by using theadd_categories()
method:
- In [77]: s = s.cat.add_categories([4])
- In [78]: s.cat.categories
- Out[78]: Index(['x', 'y', 'z', 4], dtype='object')
- In [79]: s
- Out[79]:
- 0 x
- 1 y
- 2 z
- 3 x
- dtype: category
- Categories (4, object): [x, y, z, 4]
Removing categories
Removing categories can be done by using theremove_categories()
method. Values which are removedare replaced by np.nan
.:
- In [80]: s = s.cat.remove_categories([4])
- In [81]: s
- Out[81]:
- 0 x
- 1 y
- 2 z
- 3 x
- dtype: category
- Categories (3, object): [x, y, z]
Removing unused categories
Removing unused categories can also be done:
- In [82]: s = pd.Series(pd.Categorical(["a", "b", "a"],
- ....: categories=["a", "b", "c", "d"]))
- ....:
- In [83]: s
- Out[83]:
- 0 a
- 1 b
- 2 a
- dtype: category
- Categories (4, object): [a, b, c, d]
- In [84]: s.cat.remove_unused_categories()
- Out[84]:
- 0 a
- 1 b
- 2 a
- dtype: category
- Categories (2, object): [a, b]
Setting categories
If you want to do remove and add new categories in one step (which has somespeed advantage), or simply set the categories to a predefined scale,use set_categories()
.
- In [85]: s = pd.Series(["one", "two", "four", "-"], dtype="category")
- In [86]: s
- Out[86]:
- 0 one
- 1 two
- 2 four
- 3 -
- dtype: category
- Categories (4, object): [-, four, one, two]
- In [87]: s = s.cat.set_categories(["one", "two", "three", "four"])
- In [88]: s
- Out[88]:
- 0 one
- 1 two
- 2 four
- 3 NaN
- dtype: category
- Categories (4, object): [one, two, three, four]
Note
Be aware that Categorical.set_categories()
cannot know whether some category is omittedintentionally or because it is misspelled or (under Python3) due to a type difference (e.g.,NumPy S1 dtype and Python strings). This can result in surprising behaviour!
Sorting and order
If categorical data is ordered (s.cat.ordered == True
), then the order of the categories has ameaning and certain operations are possible. If the categorical is unordered, .min()/.max()
will raise a TypeError
.
- In [89]: s = pd.Series(pd.Categorical(["a", "b", "c", "a"], ordered=False))
- In [90]: s.sort_values(inplace=True)
- In [91]: s = pd.Series(["a", "b", "c", "a"]).astype(
- ....: CategoricalDtype(ordered=True)
- ....: )
- ....:
- In [92]: s.sort_values(inplace=True)
- In [93]: s
- Out[93]:
- 0 a
- 3 a
- 1 b
- 2 c
- dtype: category
- Categories (3, object): [a < b < c]
- In [94]: s.min(), s.max()
- Out[94]: ('a', 'c')
You can set categorical data to be ordered by using asordered()
or unordered by using as_unordered()
. These will bydefault return a _new object.
- In [95]: s.cat.as_ordered()
- Out[95]:
- 0 a
- 3 a
- 1 b
- 2 c
- dtype: category
- Categories (3, object): [a < b < c]
- In [96]: s.cat.as_unordered()
- Out[96]:
- 0 a
- 3 a
- 1 b
- 2 c
- dtype: category
- Categories (3, object): [a, b, c]
Sorting will use the order defined by categories, not any lexical order present on the data type.This is even true for strings and numeric data:
- In [97]: s = pd.Series([1, 2, 3, 1], dtype="category")
- In [98]: s = s.cat.set_categories([2, 3, 1], ordered=True)
- In [99]: s
- Out[99]:
- 0 1
- 1 2
- 2 3
- 3 1
- dtype: category
- Categories (3, int64): [2 < 3 < 1]
- In [100]: s.sort_values(inplace=True)
- In [101]: s
- Out[101]:
- 1 2
- 2 3
- 0 1
- 3 1
- dtype: category
- Categories (3, int64): [2 < 3 < 1]
- In [102]: s.min(), s.max()
- Out[102]: (2, 1)
Reordering
Reordering the categories is possible via the Categorical.reorder_categories()
andthe Categorical.set_categories()
methods. For Categorical.reorder_categories()
, allold categories must be included in the new categories and no new categories are allowed. This willnecessarily make the sort order the same as the categories order.
- In [103]: s = pd.Series([1, 2, 3, 1], dtype="category")
- In [104]: s = s.cat.reorder_categories([2, 3, 1], ordered=True)
- In [105]: s
- Out[105]:
- 0 1
- 1 2
- 2 3
- 3 1
- dtype: category
- Categories (3, int64): [2 < 3 < 1]
- In [106]: s.sort_values(inplace=True)
- In [107]: s
- Out[107]:
- 1 2
- 2 3
- 0 1
- 3 1
- dtype: category
- Categories (3, int64): [2 < 3 < 1]
- In [108]: s.min(), s.max()
- Out[108]: (2, 1)
Note
Note the difference between assigning new categories and reordering the categories: the firstrenames categories and therefore the individual values in the Series
, but if the firstposition was sorted last, the renamed value will still be sorted last. Reordering means that theway values are sorted is different afterwards, but not that individual values in theSeries
are changed.
Note
If the Categorical
is not ordered, Series.min()
and Series.max()
will raiseTypeError
. Numeric operations like +
, -
, *
, /
and operations based on them(e.g. Series.median()
, which would need to compute the mean between two values if the lengthof an array is even) do not work and raise a TypeError
.
Multi column sorting
A categorical dtyped column will participate in a multi-column sort in a similar manner to other columns.The ordering of the categorical is determined by the categories
of that column.
- In [109]: dfs = pd.DataFrame({'A': pd.Categorical(list('bbeebbaa'),
- .....: categories=['e', 'a', 'b'],
- .....: ordered=True),
- .....: 'B': [1, 2, 1, 2, 2, 1, 2, 1]})
- .....:
- In [110]: dfs.sort_values(by=['A', 'B'])
- Out[110]:
- A B
- 2 e 1
- 3 e 2
- 7 a 1
- 6 a 2
- 0 b 1
- 5 b 1
- 1 b 2
- 4 b 2
Reordering the categories
changes a future sort.
- In [111]: dfs['A'] = dfs['A'].cat.reorder_categories(['a', 'b', 'e'])
- In [112]: dfs.sort_values(by=['A', 'B'])
- Out[112]:
- A B
- 7 a 1
- 6 a 2
- 0 b 1
- 5 b 1
- 1 b 2
- 4 b 2
- 2 e 1
- 3 e 2
Comparisons
Comparing categorical data with other objects is possible in three cases:
- Comparing equality (
==
and!=
) to a list-like object (list, Series, array,…) of the same length as the categorical data. - All comparisons (
==
,!=
,>
,>=
,<
, and<=
) of categorical data toanother categorical Series, whenordered==True
and the categories are the same. - All comparisons of a categorical data to a scalar.
All other comparisons, especially “non-equality” comparisons of two categoricals with differentcategories or a categorical with any list-like object, will raise a TypeError
.
Note
Any “non-equality” comparisons of categorical data with a Series
, np.array
, list
orcategorical data with different categories or ordering will raise a TypeError
because customcategories ordering could be interpreted in two ways: one with taking into account theordering and one without.
- In [113]: cat = pd.Series([1, 2, 3]).astype(
- .....: CategoricalDtype([3, 2, 1], ordered=True)
- .....: )
- .....:
- In [114]: cat_base = pd.Series([2, 2, 2]).astype(
- .....: CategoricalDtype([3, 2, 1], ordered=True)
- .....: )
- .....:
- In [115]: cat_base2 = pd.Series([2, 2, 2]).astype(
- .....: CategoricalDtype(ordered=True)
- .....: )
- .....:
- In [116]: cat
- Out[116]:
- 0 1
- 1 2
- 2 3
- dtype: category
- Categories (3, int64): [3 < 2 < 1]
- In [117]: cat_base
- Out[117]:
- 0 2
- 1 2
- 2 2
- dtype: category
- Categories (3, int64): [3 < 2 < 1]
- In [118]: cat_base2
- Out[118]:
- 0 2
- 1 2
- 2 2
- dtype: category
- Categories (1, int64): [2]
Comparing to a categorical with the same categories and ordering or to a scalar works:
- In [119]: cat > cat_base
- Out[119]:
- 0 True
- 1 False
- 2 False
- dtype: bool
- In [120]: cat > 2
- Out[120]:
- 0 True
- 1 False
- 2 False
- dtype: bool
Equality comparisons work with any list-like object of same length and scalars:
- In [121]: cat == cat_base
- Out[121]:
- 0 False
- 1 True
- 2 False
- dtype: bool
- In [122]: cat == np.array([1, 2, 3])
- Out[122]:
- 0 True
- 1 True
- 2 True
- dtype: bool
- In [123]: cat == 2
- Out[123]:
- 0 False
- 1 True
- 2 False
- dtype: bool
This doesn’t work because the categories are not the same:
- In [124]: try:
- .....: cat > cat_base2
- .....: except TypeError as e:
- .....: print("TypeError:", str(e))
- .....:
- TypeError: Categoricals can only be compared if 'categories' are the same. Categories are different lengths
If you want to do a “non-equality” comparison of a categorical series with a list-like objectwhich is not categorical data, you need to be explicit and convert the categorical data back tothe original values:
- In [125]: base = np.array([1, 2, 3])
- In [126]: try:
- .....: cat > base
- .....: except TypeError as e:
- .....: print("TypeError:", str(e))
- .....:
- TypeError: Cannot compare a Categorical for op __gt__ with type <class 'numpy.ndarray'>.
- If you want to compare values, use 'np.asarray(cat) <op> other'.
- In [127]: np.asarray(cat) > base
- Out[127]: array([False, False, False])
When you compare two unordered categoricals with the same categories, the order is not considered:
- In [128]: c1 = pd.Categorical(['a', 'b'], categories=['a', 'b'], ordered=False)
- In [129]: c2 = pd.Categorical(['a', 'b'], categories=['b', 'a'], ordered=False)
- In [130]: c1 == c2
- Out[130]: array([ True, True])
Operations
Apart from Series.min()
, Series.max()
and Series.mode()
, thefollowing operations are possible with categorical data:
Series
methods like Series.value_counts()
will use all categories,even if some categories are not present in the data:
- In [131]: s = pd.Series(pd.Categorical(["a", "b", "c", "c"],
- .....: categories=["c", "a", "b", "d"]))
- .....:
- In [132]: s.value_counts()
- Out[132]:
- c 2
- b 1
- a 1
- d 0
- dtype: int64
Groupby will also show “unused” categories:
- In [133]: cats = pd.Categorical(["a", "b", "b", "b", "c", "c", "c"],
- .....: categories=["a", "b", "c", "d"])
- .....:
- In [134]: df = pd.DataFrame({"cats": cats, "values": [1, 2, 2, 2, 3, 4, 5]})
- In [135]: df.groupby("cats").mean()
- Out[135]:
- values
- cats
- a 1.0
- b 2.0
- c 4.0
- d NaN
- In [136]: cats2 = pd.Categorical(["a", "a", "b", "b"], categories=["a", "b", "c"])
- In [137]: df2 = pd.DataFrame({"cats": cats2,
- .....: "B": ["c", "d", "c", "d"],
- .....: "values": [1, 2, 3, 4]})
- .....:
- In [138]: df2.groupby(["cats", "B"]).mean()
- Out[138]:
- values
- cats B
- a c 1.0
- d 2.0
- b c 3.0
- d 4.0
- c c NaN
- d NaN
Pivot tables:
- In [139]: raw_cat = pd.Categorical(["a", "a", "b", "b"], categories=["a", "b", "c"])
- In [140]: df = pd.DataFrame({"A": raw_cat,
- .....: "B": ["c", "d", "c", "d"],
- .....: "values": [1, 2, 3, 4]})
- .....:
- In [141]: pd.pivot_table(df, values='values', index=['A', 'B'])
- Out[141]:
- values
- A B
- a c 1
- d 2
- b c 3
- d 4
Data munging
The optimized pandas data access methods .loc
, .iloc
, .at
, and .iat
,work as normal. The only difference is the return type (for getting) andthat only values already in categories can be assigned.
Getting
If the slicing operation returns either a DataFrame
or a column of typeSeries
, the category
dtype is preserved.
- In [142]: idx = pd.Index(["h", "i", "j", "k", "l", "m", "n"])
- In [143]: cats = pd.Series(["a", "b", "b", "b", "c", "c", "c"],
- .....: dtype="category", index=idx)
- .....:
- In [144]: values = [1, 2, 2, 2, 3, 4, 5]
- In [145]: df = pd.DataFrame({"cats": cats, "values": values}, index=idx)
- In [146]: df.iloc[2:4, :]
- Out[146]:
- cats values
- j b 2
- k b 2
- In [147]: df.iloc[2:4, :].dtypes
- Out[147]:
- cats category
- values int64
- dtype: object
- In [148]: df.loc["h":"j", "cats"]
- Out[148]:
- h a
- i b
- j b
- Name: cats, dtype: category
- Categories (3, object): [a, b, c]
- In [149]: df[df["cats"] == "b"]
- Out[149]:
- cats values
- i b 2
- j b 2
- k b 2
An example where the category type is not preserved is if you take one singlerow: the resulting Series
is of dtype object
:
- # get the complete "h" row as a Series
- In [150]: df.loc["h", :]
- Out[150]:
- cats a
- values 1
- Name: h, dtype: object
Returning a single item from categorical data will also return the value, not a categoricalof length “1”.
- In [151]: df.iat[0, 0]
- Out[151]: 'a'
- In [152]: df["cats"].cat.categories = ["x", "y", "z"]
- In [153]: df.at["h", "cats"] # returns a string
- Out[153]: 'x'
Note
The is in contrast to R’s factor function, where factor(c(1,2,3))[1]
returns a single value factor.
To get a single value Series
of type category
, you pass in a list witha single value:
- In [154]: df.loc[["h"], "cats"]
- Out[154]:
- h x
- Name: cats, dtype: category
- Categories (3, object): [x, y, z]
String and datetime accessors
The accessors .dt
and .str
will work if the s.cat.categories
are ofan appropriate type:
- In [155]: str_s = pd.Series(list('aabb'))
- In [156]: str_cat = str_s.astype('category')
- In [157]: str_cat
- Out[157]:
- 0 a
- 1 a
- 2 b
- 3 b
- dtype: category
- Categories (2, object): [a, b]
- In [158]: str_cat.str.contains("a")
- Out[158]:
- 0 True
- 1 True
- 2 False
- 3 False
- dtype: bool
- In [159]: date_s = pd.Series(pd.date_range('1/1/2015', periods=5))
- In [160]: date_cat = date_s.astype('category')
- In [161]: date_cat
- Out[161]:
- 0 2015-01-01
- 1 2015-01-02
- 2 2015-01-03
- 3 2015-01-04
- 4 2015-01-05
- dtype: category
- Categories (5, datetime64[ns]): [2015-01-01, 2015-01-02, 2015-01-03, 2015-01-04, 2015-01-05]
- In [162]: date_cat.dt.day
- Out[162]:
- 0 1
- 1 2
- 2 3
- 3 4
- 4 5
- dtype: int64
Note
The returned Series
(or DataFrame
) is of the same type as if you used the.str.<method>
/ .dt.<method>
on a Series
of that type (and not oftype category
!).
That means, that the returned values from methods and properties on the accessors of aSeries
and the returned values from methods and properties on the accessors of thisSeries
transformed to one of type category will be equal:
- In [163]: ret_s = str_s.str.contains("a")
- In [164]: ret_cat = str_cat.str.contains("a")
- In [165]: ret_s.dtype == ret_cat.dtype
- Out[165]: True
- In [166]: ret_s == ret_cat
- Out[166]:
- 0 True
- 1 True
- 2 True
- 3 True
- dtype: bool
Note
The work is done on the categories
and then a new Series
is constructed. This hassome performance implication if you have a Series
of type string, where lots of elementsare repeated (i.e. the number of unique elements in the Series
is a lot smaller than thelength of the Series
). In this case it can be faster to convert the original Series
to one of type category
and use .str.<method>
or .dt.<property>
on that.
Setting
Setting values in a categorical column (or Series
) works as long as thevalue is included in the categories:
- In [167]: idx = pd.Index(["h", "i", "j", "k", "l", "m", "n"])
- In [168]: cats = pd.Categorical(["a", "a", "a", "a", "a", "a", "a"],
- .....: categories=["a", "b"])
- .....:
- In [169]: values = [1, 1, 1, 1, 1, 1, 1]
- In [170]: df = pd.DataFrame({"cats": cats, "values": values}, index=idx)
- In [171]: df.iloc[2:4, :] = [["b", 2], ["b", 2]]
- In [172]: df
- Out[172]:
- cats values
- h a 1
- i a 1
- j b 2
- k b 2
- l a 1
- m a 1
- n a 1
- In [173]: try:
- .....: df.iloc[2:4, :] = [["c", 3], ["c", 3]]
- .....: except ValueError as e:
- .....: print("ValueError:", str(e))
- .....:
- ValueError: Cannot setitem on a Categorical with a new category, set the categories first
Setting values by assigning categorical data will also check that the categories match:
- In [174]: df.loc["j":"k", "cats"] = pd.Categorical(["a", "a"], categories=["a", "b"])
- In [175]: df
- Out[175]:
- cats values
- h a 1
- i a 1
- j a 2
- k a 2
- l a 1
- m a 1
- n a 1
- In [176]: try:
- .....: df.loc["j":"k", "cats"] = pd.Categorical(["b", "b"],
- .....: categories=["a", "b", "c"])
- .....: except ValueError as e:
- .....: print("ValueError:", str(e))
- .....:
- ValueError: Cannot set a Categorical with another, without identical categories
Assigning a Categorical
to parts of a column of other types will use the values:
- In [177]: df = pd.DataFrame({"a": [1, 1, 1, 1, 1], "b": ["a", "a", "a", "a", "a"]})
- In [178]: df.loc[1:2, "a"] = pd.Categorical(["b", "b"], categories=["a", "b"])
- In [179]: df.loc[2:3, "b"] = pd.Categorical(["b", "b"], categories=["a", "b"])
- In [180]: df
- Out[180]:
- a b
- 0 1 a
- 1 b a
- 2 b b
- 3 1 b
- 4 1 a
- In [181]: df.dtypes
- Out[181]:
- a object
- b object
- dtype: object
Merging
You can concat two DataFrames
containing categorical data together,but the categories of these categoricals need to be the same:
- In [182]: cat = pd.Series(["a", "b"], dtype="category")
- In [183]: vals = [1, 2]
- In [184]: df = pd.DataFrame({"cats": cat, "vals": vals})
- In [185]: res = pd.concat([df, df])
- In [186]: res
- Out[186]:
- cats vals
- 0 a 1
- 1 b 2
- 0 a 1
- 1 b 2
- In [187]: res.dtypes
- Out[187]:
- cats category
- vals int64
- dtype: object
In this case the categories are not the same, and therefore an error is raised:
- In [188]: df_different = df.copy()
- In [189]: df_different["cats"].cat.categories = ["c", "d"]
- In [190]: try:
- .....: pd.concat([df, df_different])
- .....: except ValueError as e:
- .....: print("ValueError:", str(e))
- .....:
The same applies to df.append(df_different)
.
See also the section on merge dtypes for notes about preserving merge dtypes and performance.
Unioning
New in version 0.19.0.
If you want to combine categoricals that do not necessarily have the samecategories, the union_categoricals()
function willcombine a list-like of categoricals. The new categories will be the union ofthe categories being combined.
- In [191]: from pandas.api.types import union_categoricals
- In [192]: a = pd.Categorical(["b", "c"])
- In [193]: b = pd.Categorical(["a", "b"])
- In [194]: union_categoricals([a, b])
- Out[194]:
- [b, c, a, b]
- Categories (3, object): [b, c, a]
By default, the resulting categories will be ordered asthey appear in the data. If you want the categories tobe lexsorted, use sort_categories=True
argument.
- In [195]: union_categoricals([a, b], sort_categories=True)
- Out[195]:
- [b, c, a, b]
- Categories (3, object): [a, b, c]
union_categoricals
also works with the “easy” case of combining twocategoricals of the same categories and order information(e.g. what you could also append
for).
- In [196]: a = pd.Categorical(["a", "b"], ordered=True)
- In [197]: b = pd.Categorical(["a", "b", "a"], ordered=True)
- In [198]: union_categoricals([a, b])
- Out[198]:
- [a, b, a, b, a]
- Categories (2, object): [a < b]
The below raises TypeError
because the categories are ordered and not identical.
- In [1]: a = pd.Categorical(["a", "b"], ordered=True)
- In [2]: b = pd.Categorical(["a", "b", "c"], ordered=True)
- In [3]: union_categoricals([a, b])
- Out[3]:
- TypeError: to union ordered Categoricals, all categories must be the same
New in version 0.20.0.
Ordered categoricals with different categories or orderings can be combined byusing the ignore_ordered=True
argument.
- In [199]: a = pd.Categorical(["a", "b", "c"], ordered=True)
- In [200]: b = pd.Categorical(["c", "b", "a"], ordered=True)
- In [201]: union_categoricals([a, b], ignore_order=True)
- Out[201]:
- [a, b, c, c, b, a]
- Categories (3, object): [a, b, c]
union_categoricals()
also works with aCategoricalIndex
, or Series
containing categorical data, but note thatthe resulting array will always be a plain Categorical
:
- In [202]: a = pd.Series(["b", "c"], dtype='category')
- In [203]: b = pd.Series(["a", "b"], dtype='category')
- In [204]: union_categoricals([a, b])
- Out[204]:
- [b, c, a, b]
- Categories (3, object): [b, c, a]
Note
union_categoricals
may recode the integer codes for categorieswhen combining categoricals. This is likely what you want,but if you are relying on the exact numbering of the categories, beaware.
- In [205]: c1 = pd.Categorical(["b", "c"])
- In [206]: c2 = pd.Categorical(["a", "b"])
- In [207]: c1
- Out[207]:
- [b, c]
- Categories (2, object): [b, c]
- # "b" is coded to 0
- In [208]: c1.codes
- Out[208]: array([0, 1], dtype=int8)
- In [209]: c2
- Out[209]:
- [a, b]
- Categories (2, object): [a, b]
- # "b" is coded to 1
- In [210]: c2.codes
- Out[210]: array([0, 1], dtype=int8)
- In [211]: c = union_categoricals([c1, c2])
- In [212]: c
- Out[212]:
- [b, c, a, b]
- Categories (3, object): [b, c, a]
- # "b" is coded to 0 throughout, same as c1, different from c2
- In [213]: c.codes
- Out[213]: array([0, 1, 2, 0], dtype=int8)
Concatenation
This section describes concatenations specific to category
dtype. See Concatenating objects for general description.
By default, Series
or DataFrame
concatenation which contains the same categoriesresults in category
dtype, otherwise results in object
dtype.Use .astype
or union_categoricals
to get category
result.
- # same categories
- In [214]: s1 = pd.Series(['a', 'b'], dtype='category')
- In [215]: s2 = pd.Series(['a', 'b', 'a'], dtype='category')
- In [216]: pd.concat([s1, s2])
- Out[216]:
- 0 a
- 1 b
- 0 a
- 1 b
- 2 a
- dtype: category
- Categories (2, object): [a, b]
- # different categories
- In [217]: s3 = pd.Series(['b', 'c'], dtype='category')
- In [218]: pd.concat([s1, s3])
- Out[218]:
- 0 a
- 1 b
- 0 b
- 1 c
- dtype: object
- In [219]: pd.concat([s1, s3]).astype('category')
- Out[219]:
- 0 a
- 1 b
- 0 b
- 1 c
- dtype: category
- Categories (3, object): [a, b, c]
- In [220]: union_categoricals([s1.array, s3.array])
- Out[220]:
- [a, b, b, c]
- Categories (3, object): [a, b, c]
Following table summarizes the results of Categoricals
related concatenations.
arg1 | arg2 | result |
---|---|---|
category | category (identical categories) | category |
category | category (different categories, both not ordered) | object (dtype is inferred) |
category | category (different categories, either one is ordered) | object (dtype is inferred) |
category | not category | object (dtype is inferred) |
Getting data in/out
You can write data that contains category
dtypes to a HDFStore
.See here for an example and caveats.
It is also possible to write data to and reading data from Stata format files.See here for an example and caveats.
Writing to a CSV file will convert the data, effectively removing any information about thecategorical (categories and ordering). So if you read back the CSV file you have to convert therelevant columns back to category and assign the right categories and categories ordering.
- In [221]: import io
- In [222]: s = pd.Series(pd.Categorical(['a', 'b', 'b', 'a', 'a', 'd']))
- # rename the categories
- In [223]: s.cat.categories = ["very good", "good", "bad"]
- # reorder the categories and add missing categories
- In [224]: s = s.cat.set_categories(["very bad", "bad", "medium", "good", "very good"])
- In [225]: df = pd.DataFrame({"cats": s, "vals": [1, 2, 3, 4, 5, 6]})
- In [226]: csv = io.StringIO()
- In [227]: df.to_csv(csv)
- In [228]: df2 = pd.read_csv(io.StringIO(csv.getvalue()))
- In [229]: df2.dtypes
- Out[229]:
- Unnamed: 0 int64
- cats object
- vals int64
- dtype: object
- In [230]: df2["cats"]
- Out[230]:
- 0 very good
- 1 good
- 2 good
- 3 very good
- 4 very good
- 5 bad
- Name: cats, dtype: object
- # Redo the category
- In [231]: df2["cats"] = df2["cats"].astype("category")
- In [232]: df2["cats"].cat.set_categories(["very bad", "bad", "medium",
- .....: "good", "very good"],
- .....: inplace=True)
- .....:
- In [233]: df2.dtypes
- Out[233]:
- Unnamed: 0 int64
- cats category
- vals int64
- dtype: object
- In [234]: df2["cats"]
- Out[234]:
- 0 very good
- 1 good
- 2 good
- 3 very good
- 4 very good
- 5 bad
- Name: cats, dtype: category
- Categories (5, object): [very bad, bad, medium, good, very good]
The same holds for writing to a SQL database with to_sql
.
Missing data
pandas primarily uses the value np.nan to represent missing data. It is bydefault not included in computations. See the Missing Data section.
Missing values should not be included in the Categorical’s categories
,only in the values
.Instead, it is understood that NaN is different, and is always a possibility.When working with the Categorical’s codes
, missing values will always havea code of -1
.
- In [235]: s = pd.Series(["a", "b", np.nan, "a"], dtype="category")
- # only two categories
- In [236]: s
- Out[236]:
- 0 a
- 1 b
- 2 NaN
- 3 a
- dtype: category
- Categories (2, object): [a, b]
- In [237]: s.cat.codes
- Out[237]:
- 0 0
- 1 1
- 2 -1
- 3 0
- dtype: int8
Methods for working with missing data, e.g. isna()
, fillna()
,dropna()
, all work normally:
- In [238]: s = pd.Series(["a", "b", np.nan], dtype="category")
- In [239]: s
- Out[239]:
- 0 a
- 1 b
- 2 NaN
- dtype: category
- Categories (2, object): [a, b]
- In [240]: pd.isna(s)
- Out[240]:
- 0 False
- 1 False
- 2 True
- dtype: bool
- In [241]: s.fillna("a")
- Out[241]:
- 0 a
- 1 b
- 2 a
- dtype: category
- Categories (2, object): [a, b]
Differences to R’s factor
The following differences to R’s factor functions can be observed:
- R’s levels are named categories.
- R’s levels are always of type string, while categories in pandas can be of any dtype.
- It’s not possible to specify labels at creation time. Use
s.cat.rename_categories(new_labels)
afterwards. - In contrast to R’s factor function, using categorical data as the sole input to create anew categorical series will not remove unused categories but create a new categorical serieswhich is equal to the passed in one!
- R allows for missing values to be included in its levels (pandas’ categories). Pandasdoes not allow NaN categories, but missing values can still be in the values.
Gotchas
Memory usage
The memory usage of a Categorical
is proportional to the number of categories plus the length of the data. In contrast,an object
dtype is a constant times the length of the data.
- In [242]: s = pd.Series(['foo', 'bar'] * 1000)
- # object dtype
- In [243]: s.nbytes
- Out[243]: 16000
- # category dtype
- In [244]: s.astype('category').nbytes
- Out[244]: 2016
Note
If the number of categories approaches the length of the data, the Categorical
will use nearly the same ormore memory than an equivalent object
dtype representation.
- In [245]: s = pd.Series(['foo%04d' % i for i in range(2000)])
- # object dtype
- In [246]: s.nbytes
- Out[246]: 16000
- # category dtype
- In [247]: s.astype('category').nbytes
- Out[247]: 20000
Categorical is not a numpy array
Currently, categorical data and the underlying Categorical
is implemented as a Pythonobject and not as a low-level NumPy array dtype. This leads to some problems.
NumPy itself doesn’t know about the new dtype:
- In [248]: try:
- .....: np.dtype("category")
- .....: except TypeError as e:
- .....: print("TypeError:", str(e))
- .....:
- TypeError: data type "category" not understood
- In [249]: dtype = pd.Categorical(["a"]).dtype
- In [250]: try:
- .....: np.dtype(dtype)
- .....: except TypeError as e:
- .....: print("TypeError:", str(e))
- .....:
- TypeError: data type not understood
Dtype comparisons work:
- In [251]: dtype == np.str_
- Out[251]: False
- In [252]: np.str_ == dtype
- Out[252]: False
To check if a Series contains Categorical data, use hasattr(s, 'cat')
:
- In [253]: hasattr(pd.Series(['a'], dtype='category'), 'cat')
- Out[253]: True
- In [254]: hasattr(pd.Series(['a']), 'cat')
- Out[254]: False
Using NumPy functions on a Series
of type category
should not work as _Categoricals_are not numeric data (even in the case that .categories
is numeric).
- In [255]: s = pd.Series(pd.Categorical([1, 2, 3, 4]))
- In [256]: try:
- .....: np.sum(s)
- .....: except TypeError as e:
- .....: print("TypeError:", str(e))
- .....:
- TypeError: Categorical cannot perform the operation sum
Note
If such a function works, please file a bug at https://github.com/pandas-dev/pandas!
dtype in apply
Pandas currently does not preserve the dtype in apply functions: If you apply along rows you geta Series of object
dtype (same as getting a row -> getting one element will return abasic type) and applying along columns will also convert to object. NaN
values are unaffected.You can use fillna
to handle missing values before applying a function.
- In [257]: df = pd.DataFrame({"a": [1, 2, 3, 4],
- .....: "b": ["a", "b", "c", "d"],
- .....: "cats": pd.Categorical([1, 2, 3, 2])})
- .....:
- In [258]: df.apply(lambda row: type(row["cats"]), axis=1)
- Out[258]:
- 0 <class 'int'>
- 1 <class 'int'>
- 2 <class 'int'>
- 3 <class 'int'>
- dtype: object
- In [259]: df.apply(lambda col: col.dtype, axis=0)
- Out[259]:
- a int64
- b object
- cats category
- dtype: object
Categorical index
CategoricalIndex
is a type of index that is useful for supportingindexing with duplicates. This is a container around a Categorical
and allows efficient indexing and storage of an index with a large number of duplicated elements.See the advanced indexing docs for a more detailedexplanation.
Setting the index will create a CategoricalIndex
:
- In [260]: cats = pd.Categorical([1, 2, 3, 4], categories=[4, 2, 3, 1])
- In [261]: strings = ["a", "b", "c", "d"]
- In [262]: values = [4, 2, 3, 1]
- In [263]: df = pd.DataFrame({"strings": strings, "values": values}, index=cats)
- In [264]: df.index
- Out[264]: CategoricalIndex([1, 2, 3, 4], categories=[4, 2, 3, 1], ordered=False, dtype='category')
- # This now sorts by the categories order
- In [265]: df.sort_index()
- Out[265]:
- strings values
- 4 d 1
- 2 b 2
- 3 c 3
- 1 a 4
Side effects
Constructing a Series
from a Categorical
will not copy the inputCategorical
. This means that changes to the Series
will in most caseschange the original Categorical
:
- In [266]: cat = pd.Categorical([1, 2, 3, 10], categories=[1, 2, 3, 4, 10])
- In [267]: s = pd.Series(cat, name="cat")
- In [268]: cat
- Out[268]:
- [1, 2, 3, 10]
- Categories (5, int64): [1, 2, 3, 4, 10]
- In [269]: s.iloc[0:2] = 10
- In [270]: cat
- Out[270]:
- [10, 10, 3, 10]
- Categories (5, int64): [1, 2, 3, 4, 10]
- In [271]: df = pd.DataFrame(s)
- In [272]: df["cat"].cat.categories = [1, 2, 3, 4, 5]
- In [273]: cat
- Out[273]:
- [5, 5, 3, 5]
- Categories (5, int64): [1, 2, 3, 4, 5]
Use copy=True
to prevent such a behaviour or simply don’t reuse Categoricals
:
- In [274]: cat = pd.Categorical([1, 2, 3, 10], categories=[1, 2, 3, 4, 10])
- In [275]: s = pd.Series(cat, name="cat", copy=True)
- In [276]: cat
- Out[276]:
- [1, 2, 3, 10]
- Categories (5, int64): [1, 2, 3, 4, 10]
- In [277]: s.iloc[0:2] = 10
- In [278]: cat
- Out[278]:
- [1, 2, 3, 10]
- Categories (5, int64): [1, 2, 3, 4, 10]
Note
This also happens in some cases when you supply a NumPy array instead of a Categorical
:using an int array (e.g. np.array([1,2,3,4])
) will exhibit the same behavior, while usinga string array (e.g. np.array(["a","b","c","a"])
) will not.