# Essential Basic Functionality
Here we discuss a lot of the essential functionality common to the pandas data structures. Here’s how to create some of the objects used in the examples from the previous section:
In [1]: index = pd.date_range('1/1/2000', periods=8)
In [2]: s = pd.Series(np.random.randn(5), index=['a', 'b', 'c', 'd', 'e'])
In [3]: df = pd.DataFrame(np.random.randn(8, 3), index=index,
...: columns=['A', 'B', 'C'])
...:
In [4]: wp = pd.Panel(np.random.randn(2, 5, 4), items=['Item1', 'Item2'],
...: major_axis=pd.date_range('1/1/2000', periods=5),
...: minor_axis=['A', 'B', 'C', 'D'])
...:
# Head and Tail
To view a small sample of a Series or DataFrame object, use the head() (opens new window) and tail() (opens new window) methods. The default number of elements to display is five, but you may pass a custom number.
In [5]: long_series = pd.Series(np.random.randn(1000))
In [6]: long_series.head()
Out[6]:
0 -2.211372
1 0.974466
2 -2.006747
3 -0.410001
4 -0.078638
dtype: float64
In [7]: long_series.tail(3)
Out[7]:
997 -0.196166
998 0.380733
999 -0.275874
dtype: float64
# Attributes and Underlying Data
pandas objects have a number of attributes enabling you to access the metadata
- shape: gives the axis dimensions of the object, consistent with ndarray
- Axis labels
- Series: index (only axis)
- DataFrame: index (rows) and columns
- Panel: items, major_axis, and minor_axis
Note, these attributes can be safely assigned to!
In [8]: df[:2]
Out[8]:
A B C
2000-01-01 -0.173215 0.119209 -1.044236
2000-01-02 -0.861849 -2.104569 -0.494929
In [9]: df.columns = [x.lower() for x in df.columns]
In [10]: df
Out[10]:
a b c
2000-01-01 -0.173215 0.119209 -1.044236
2000-01-02 -0.861849 -2.104569 -0.494929
2000-01-03 1.071804 0.721555 -0.706771
2000-01-04 -1.039575 0.271860 -0.424972
2000-01-05 0.567020 0.276232 -1.087401
2000-01-06 -0.673690 0.113648 -1.478427
2000-01-07 0.524988 0.404705 0.577046
2000-01-08 -1.715002 -1.039268 -0.370647
Pandas objects (Index (opens new window), Series (opens new window), DataFrame (opens new window)) can be thought of as containers for arrays, which hold the actual data and do the actual computation. For many types, the underlying array is a numpy.ndarray (opens new window). However, pandas and 3rd party libraries may extend NumPy’s type system to add support for custom arrays (see dtypes (opens new window)).
To get the actual data inside a Index (opens new window) or Series (opens new window), use the .array
property
In [11]: s.array
Out[11]:
<PandasArray>
[ 0.46911229990718628, -0.28286334432866328, -1.5090585031735124,
-1.1356323710171934, 1.2121120250208506]
Length: 5, dtype: float64
In [12]: s.index.array
Out[12]:
<PandasArray>
['a', 'b', 'c', 'd', 'e']
Length: 5, dtype: object
array (opens new window) will always be an ExtensionArray (opens new window). The exact details of what an ExtensionArray is and why pandas uses them is a bit beyond the scope of this introduction. See dtypes (opens new window) for more.
If you know you need a NumPy array, use to_numpy() (opens new window) or numpy.asarray()
.
In [13]: s.to_numpy()
Out[13]: array([ 0.4691, -0.2829, -1.5091, -1.1356, 1.2121])
In [14]: np.asarray(s)
Out[14]: array([ 0.4691, -0.2829, -1.5091, -1.1356, 1.2121])
When the Series or Index is backed by an ExtensionArray (opens new window), to_numpy() (opens new window) may involve copying data and coercing values. See dtypes (opens new window) for more.
to_numpy() (opens new window) gives some control over the dtype of the resulting numpy.ndarray (opens new window). For example, consider datetimes with timezones. NumPy doesn’t have a dtype to represent timezone-aware datetimes, so there are two possibly useful representations:
- An object-dtype numpy.ndarray (opens new window) with Timestamp (opens new window) objects, each with the correct tz
- A
datetime64[ns]
-dtype numpy.ndarray (opens new window), where the values have been converted to UTC and the timezone discarded
Timezones may be preserved with dtype=object
In [15]: ser = pd.Series(pd.date_range('2000', periods=2, tz="CET"))
In [16]: ser.to_numpy(dtype=object)
Out[16]:
array([Timestamp('2000-01-01 00:00:00+0100', tz='CET', freq='D'),
Timestamp('2000-01-02 00:00:00+0100', tz='CET', freq='D')], dtype=object)
Or thrown away with dtype='datetime64[ns]'
In [17]: ser.to_numpy(dtype="datetime64[ns]")
Out[17]: array(['1999-12-31T23:00:00.000000000', '2000-01-01T23:00:00.000000000'], dtype='datetime64[ns]')
Getting the “raw data” inside a DataFrame (opens new window) is possibly a bit more complex. When your DataFrame
only has a single data type for all the columns, DataFrame.to_numpy() (opens new window) will return the underlying data:
In [18]: df.to_numpy()
Out[18]:
array([[-0.1732, 0.1192, -1.0442],
[-0.8618, -2.1046, -0.4949],
[ 1.0718, 0.7216, -0.7068],
[-1.0396, 0.2719, -0.425 ],
[ 0.567 , 0.2762, -1.0874],
[-0.6737, 0.1136, -1.4784],
[ 0.525 , 0.4047, 0.577 ],
[-1.715 , -1.0393, -0.3706]])
If a DataFrame or Panel contains homogeneously-typed data, the ndarray can actually be modified in-place, and the changes will be reflected in the data structure. For heterogeneous data (e.g. some of the DataFrame’s columns are not all the same dtype), this will not be the case. The values attribute itself, unlike the axis labels, cannot be assigned to.
Note
When working with heterogeneous data, the dtype of the resulting ndarray will be chosen to accommodate all of the data involved. For example, if strings are involved, the result will be of object dtype. If there are only floats and integers, the resulting array will be of float dtype.
In the past, pandas recommended Series.values (opens new window) or DataFrame.values (opens new window) for extracting the data from a Series or DataFrame. You’ll still find references to these in old code bases and online. Going forward, we recommend avoiding .values
and using .array
or .to_numpy().
.values
has the following drawbacks:
- When your Series contains an extension type (opens new window), it’s unclear whether Series.values (opens new window) returns a NumPy array or the extension array. Series.array (opens new window) will always return an ExtensionArray (opens new window), and will never copy data. Series.to_numpy() (opens new window) will always return a NumPy array, potentially at the cost of copying / coercing values.
- When your DataFrame contains a mixture of data types, DataFrame.values (opens new window) may involve copying data and coercing values to a common dtype, a relatively expensive operation. DataFrame.to_numpy() (opens new window), being a method, makes it clearer that the returned NumPy array may not be a view on the same data in the DataFrame.
# Accelerated operations
pandas has support for accelerating certain types of binary numerical and boolean operations using the numexpr library and the bottleneck
libraries.
These libraries are especially useful when dealing with large data sets, and provide large speedups. numexpr uses smart chunking, caching, and multiple cores. bottleneck
is a set of specialized cython routines that are especially fast when dealing with arrays that have nans
.
Here is a sample (using 100 column x 100,000 row DataFrames
):
Operation | 0.11.0 (ms) | Prior Version (ms) | Ratio to Prior |
---|---|---|---|
df1 > df2 | 13.32 | 125.35 | 0.1063 |
df1 * df2 | 21.71 | 36.63 | 0.5928 |
df1 + df2 | 22.04 | 36.50 | 0.6039 |
You are highly encouraged to install both libraries. See the section Recommended Dependencies (opens new window) for more installation info.
These are both enabled to be used by default, you can control this by setting the options:
New in version 0.20.0.
pd.set_option('compute.use_bottleneck', False)
pd.set_option('compute.use_numexpr', False)
# Flexible binary operations
With binary operations between pandas data structures, there are two key points of interest:
- Broadcasting behavior between higher- (e.g. DataFrame) and lower-dimensional (e.g. Series) objects.
- Missing data in computations.
We will demonstrate how to manage these issues independently, though they can be handled simultaneously.
# Matching / broadcasting behavior
DataFrame has the methods add() (opens new window), sub() (opens new window), mul() (opens new window), div() (opens new window) and related functions radd() (opens new window), rsub() (opens new window), … for carrying out binary operations. For broadcasting behavior, Series input is of primary interest. Using these functions, you can use to either match on the index or columns via the axis keyword:
In [19]: df = pd.DataFrame({
....: 'one': pd.Series(np.random.randn(3), index=['a', 'b', 'c']),
....: 'two': pd.Series(np.random.randn(4), index=['a', 'b', 'c', 'd']),
....: 'three': pd.Series(np.random.randn(3), index=['b', 'c', 'd'])})
....:
In [20]: df
Out[20]:
one two three
a 1.400810 -1.643041 NaN
b -0.356470 1.045911 0.395023
c 0.797268 0.924515 -0.007090
d NaN 1.553693 -1.670830
In [21]: row = df.iloc[1]
In [22]: column = df['two']
In [23]: df.sub(row, axis='columns')
Out[23]:
one two three
a 1.757280 -2.688953 NaN
b 0.000000 0.000000 0.000000
c 1.153738 -0.121396 -0.402113
d NaN 0.507782 -2.065853
In [24]: df.sub(row, axis=1)
Out[24]:
one two three
a 1.757280 -2.688953 NaN
b 0.000000 0.000000 0.000000
c 1.153738 -0.121396 -0.402113
d NaN 0.507782 -2.065853
In [25]: df.sub(column, axis='index')
Out[25]:
one two three
a 3.043851 0.0 NaN
b -1.402381 0.0 -0.650888
c -0.127247 0.0 -0.931605
d NaN 0.0 -3.224524
In [26]: df.sub(column, axis=0)
Out[26]:
one two three
a 3.043851 0.0 NaN
b -1.402381 0.0 -0.650888
c -0.127247 0.0 -0.931605
d NaN 0.0 -3.224524
Furthermore you can align a level of a MultiIndexed DataFrame with a Series.
In [27]: dfmi = df.copy()
In [28]: dfmi.index = pd.MultiIndex.from_tuples([(1, 'a'), (1, 'b'),
....: (1, 'c'), (2, 'a')],
....: names=['first', 'second'])
....:
In [29]: dfmi.sub(column, axis=0, level='second')
Out[29]:
one two three
first second
1 a 3.043851 0.000000 NaN
b -1.402381 0.000000 -0.650888
c -0.127247 0.000000 -0.931605
2 a NaN 3.196734 -0.027789
With Panel, describing the matching behavior is a bit more difficult, so the arithmetic methods instead (and perhaps confusingly?) give you the option to specify the broadcast axis. For example, suppose we wished to demean the data over a particular axis. This can be accomplished by taking the mean over an axis and broadcasting over the same axis:
In [30]: major_mean = wp.mean(axis='major')
In [31]: major_mean
Out[31]:
Item1 Item2
A -0.378069 0.675929
B -0.241429 -0.018080
C -0.597702 0.129006
D 0.204005 0.245570
In [32]: wp.sub(major_mean, axis='major')
Out[32]:
<class 'pandas.core.panel.Panel'>
Dimensions: 2 (items) x 5 (major_axis) x 4 (minor_axis)
Items axis: Item1 to Item2
Major_axis axis: 2000-01-01 00:00:00 to 2000-01-05 00:00:00
Minor_axis axis: A to D
And similarly for axis="items"
and axis="minor"
.
Note
I could be convinced to make the axis argument in the DataFrame methods match the broadcasting behavior of Panel. Though it would require a transition period so users can change their code…
Series and Index also support the divmod() (opens new window) builtin. This function takes the floor division and modulo operation at the same time returning a two-tuple of the same type as the left hand side. For example:
In [33]: s = pd.Series(np.arange(10))
In [34]: s
Out[34]:
0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
dtype: int64
In [35]: div, rem = divmod(s, 3)
In [36]: div
Out[36]:
0 0
1 0
2 0
3 1
4 1
5 1
6 2
7 2
8 2
9 3
dtype: int64
In [37]: rem
Out[37]:
0 0
1 1
2 2
3 0
4 1
5 2
6 0
7 1
8 2
9 0
dtype: int64
In [38]: idx = pd.Index(np.arange(10))
In [39]: idx
Out[39]: Int64Index([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], dtype='int64')
In [40]: div, rem = divmod(idx, 3)
In [41]: div
Out[41]: Int64Index([0, 0, 0, 1, 1, 1, 2, 2, 2, 3], dtype='int64')
In [42]: rem
Out[42]: Int64Index([0, 1, 2, 0, 1, 2, 0, 1, 2, 0], dtype='int64')
We can also do elementwise divmod():
In [43]: div, rem = divmod(s, [2, 2, 3, 3, 4, 4, 5, 5, 6, 6])
In [44]: div
Out[44]:
0 0
1 0
2 0
3 1
4 1
5 1
6 1
7 1
8 1
9 1
dtype: int64
In [45]: rem
Out[45]:
0 0
1 1
2 2
3 0
4 0
5 1
6 1
7 2
8 2
9 3
dtype: int64
# Missing data / operations with fill values
In Series and DataFrame, the arithmetic functions have the option of inputting a fill_value, namely a value to substitute when at most one of the values at a location are missing. For example, when adding two DataFrame objects, you may wish to treat NaN as 0 unless both DataFrames are missing that value, in which case the result will be NaN (you can later replace NaN with some other value using fillna
if you wish).
In [46]: df
Out[46]:
one two three
a 1.400810 -1.643041 NaN
b -0.356470 1.045911 0.395023
c 0.797268 0.924515 -0.007090
d NaN 1.553693 -1.670830
In [47]: df2
Out[47]:
one two three
a 1.400810 -1.643041 1.000000
b -0.356470 1.045911 0.395023
c 0.797268 0.924515 -0.007090
d NaN 1.553693 -1.670830
In [48]: df + df2
Out[48]:
one two three
a 2.801620 -3.286083 NaN
b -0.712940 2.091822 0.790046
c 1.594536 1.849030 -0.014180
d NaN 3.107386 -3.341661
In [49]: df.add(df2, fill_value=0)
Out[49]:
one two three
a 2.801620 -3.286083 1.000000
b -0.712940 2.091822 0.790046
c 1.594536 1.849030 -0.014180
d NaN 3.107386 -3.341661
# Flexible Comparisons
Series and DataFrame have the binary comparison methods eq
, ne
, lt
, gt
, le
, and ge
whose behavior is analogous to the binary arithmetic operations described above:
In [50]: df.gt(df2)
Out[50]:
one two three
a False False False
b False False False
c False False False
d False False False
In [51]: df2.ne(df)
Out[51]:
one two three
a False False True
b False False False
c False False False
d True False False
These operations produce a pandas object of the same type as the left-hand-side input that is of dtype bool
. These boolean objects can be used in indexing operations, see the section on Boolean indexing (opens new window).
# Boolean Reductions
You can apply the reductions: empty (opens new window), any() (opens new window), all() (opens new window), and bool() (opens new window) to provide a way to summarize a boolean result.
In [52]: (df > 0).all()
Out[52]:
one False
two False
three False
dtype: bool
In [53]: (df > 0).any()
Out[53]:
one True
two True
three True
dtype: bool
You can reduce to a final boolean value.
In [54]: (df > 0).any().any()
Out[54]: True
You can test if a pandas object is empty, via the empty (opens new window) property.
In [55]: df.empty
Out[55]: False
In [56]: pd.DataFrame(columns=list('ABC')).empty
Out[56]: True
To evaluate single-element pandas objects in a boolean context, use the method bool():
In [57]: pd.Series([True]).bool()
Out[57]: True
In [58]: pd.Series([False]).bool()
Out[58]: False
In [59]: pd.DataFrame([[True]]).bool()
Out[59]: True
In [60]: pd.DataFrame([[False]]).bool()
Out[60]: False
::: Warning Warning
You might be tempted to do the following:
>>> if df:
... pass
Or
>>> df and df2
These will both raise errors, as you are trying to compare multiple values.:
ValueError: The truth value of an array is ambiguous. Use a.empty, a.any() or a.all().
:::
See gotchas (opens new window) for a more detailed discussion.
# Comparing if objects are equivalent
Often you may find that there is more than one way to compute the same result. As a simple example, consider df + df
and df * 2
. To test that these two computations produce the same result, given the tools shown above, you might imagine using (df + df == df * 2).all()
. But in fact, this expression is False:
In [61]: df + df == df * 2
Out[61]:
one two three
a True True False
b True True True
c True True True
d False True True
In [62]: (df + df == df * 2).all()
Out[62]:
one False
two True
three False
dtype: bool
Notice that the boolean DataFrame df + df == df * 2
contains some False values! This is because NaNs do not compare as equals:
In [63]: np.nan == np.nan
Out[63]: False
So, NDFrames (such as Series, DataFrames, and Panels) have an equals() (opens new window) method for testing equality, with NaNs in corresponding locations treated as equal.
In [64]: (df + df).equals(df * 2)
Out[64]: True
Note that the Series or DataFrame index needs to be in the same order for equality to be True:
In [65]: df1 = pd.DataFrame({'col': ['foo', 0, np.nan]})
In [66]: df2 = pd.DataFrame({'col': [np.nan, 0, 'foo']}, index=[2, 1, 0])
In [67]: df1.equals(df2)
Out[67]: False
In [68]: df1.equals(df2.sort_index())
Out[68]: True
# Comparing array-like objects
You can conveniently perform element-wise comparisons when comparing a pandas data structure with a scalar value:
In [69]: pd.Series(['foo', 'bar', 'baz']) == 'foo'
Out[69]:
0 True
1 False
2 False
dtype: bool
In [70]: pd.Index(['foo', 'bar', 'baz']) == 'foo'
Out[70]: array([ True, False, False], dtype=bool)
Pandas also handles element-wise comparisons between different array-like objects of the same length:
In [71]: pd.Series(['foo', 'bar', 'baz']) == pd.Index(['foo', 'bar', 'qux'])
Out[71]:
0 True
1 True
2 False
dtype: bool
In [72]: pd.Series(['foo', 'bar', 'baz']) == np.array(['foo', 'bar', 'qux'])
Out[72]:
0 True
1 True
2 False
dtype: bool
Trying to compare Index
or Series
objects of different lengths will raise a ValueError:
In [55]: pd.Series(['foo', 'bar', 'baz']) == pd.Series(['foo', 'bar'])
ValueError: Series lengths must match to compare
In [56]: pd.Series(['foo', 'bar', 'baz']) == pd.Series(['foo'])
ValueError: Series lengths must match to compare
Note that this is different from the NumPy behavior where a comparison can be broadcast:
In [73]: np.array([1, 2, 3]) == np.array([2])
Out[73]: array([False, True, False], dtype=bool)
or it can return False if broadcasting can not be done:
In [74]: np.array([1, 2, 3]) == np.array([1, 2])
Out[74]: False
# Combining overlapping data sets
A problem occasionally arising is the combination of two similar data sets where values in one are preferred over the other. An example would be two data series representing a particular economic indicator where one is considered to be of “higher quality”. However, the lower quality series might extend further back in history or have more complete data coverage. As such, we would like to combine two DataFrame objects where missing values in one DataFrame are conditionally filled with like-labeled values from the other DataFrame. The function implementing this operation is combine_first() (opens new window), which we illustrate:
In [75]: df1 = pd.DataFrame({'A': [1., np.nan, 3., 5., np.nan],
....: 'B': [np.nan, 2., 3., np.nan, 6.]})
....:
In [76]: df2 = pd.DataFrame({'A': [5., 2., 4., np.nan, 3., 7.],
....: 'B': [np.nan, np.nan, 3., 4., 6., 8.]})
....:
In [77]: df1
Out[77]:
A B
0 1.0 NaN
1 NaN 2.0
2 3.0 3.0
3 5.0 NaN
4 NaN 6.0
In [78]: df2
Out[78]:
A B
0 5.0 NaN
1 2.0 NaN
2 4.0 3.0
3 NaN 4.0
4 3.0 6.0
5 7.0 8.0
In [79]: df1.combine_first(df2)
Out[79]:
A B
0 1.0 NaN
1 2.0 2.0
2 3.0 3.0
3 5.0 4.0
4 3.0 6.0
5 7.0 8.0
# General DataFrame Combine
The combine_first() (opens new window) method above calls the more general DataFrame.combine() (opens new window). This method takes another DataFrame and a combiner function, aligns the input DataFrame and then passes the combiner function pairs of Series (i.e., columns whose names are the same).
So, for instance, to reproduce combine_first() (opens new window) as above:
In [80]: def combiner(x, y):
....: return np.where(pd.isna(x), y, x)
....:
# Descriptive statistics
There exists a large number of methods for computing descriptive statistics and other related operations on Series (opens new window), DataFrame (opens new window), and Panel (opens new window). Most of these are aggregations (hence producing a lower-dimensional result) like sum() (opens new window), mean() (opens new window), and quantile() (opens new window), but some of them, like cumsum() (opens new window) and cumprod() (opens new window), produce an object of the same size. Generally speaking, these methods take an axis argument, just like ndarray .{sum, std, …}, but the axis can be specified by name or integer:
- Series: no axis argument needed
- DataFrame: “index” (axis=0, default), “columns” (axis=1)
- Panel: “items” (axis=0), “major” (axis=1, default), “minor” (axis=2)
For example:
In [81]: df
Out[81]:
one two three
a 1.400810 -1.643041 NaN
b -0.356470 1.045911 0.395023
c 0.797268 0.924515 -0.007090
d NaN 1.553693 -1.670830
In [82]: df.mean(0)
Out[82]:
one 0.613869
two 0.470270
three -0.427633
dtype: float64
In [83]: df.mean(1)
Out[83]:
a -0.121116
b 0.361488
c 0.571564
d -0.058569
dtype: float64
All such methods have a skipna
option signaling whether to exclude missing data (True
by default):
In [84]: df.sum(0, skipna=False)
Out[84]:
one NaN
two 1.881078
three NaN
dtype: float64
In [85]: df.sum(axis=1, skipna=True)
Out[85]:
a -0.242232
b 1.084464
c 1.714693
d -0.117137
dtype: float64
Combined with the broadcasting / arithmetic behavior, one can describe various statistical procedures, like standardization (rendering data zero mean and standard deviation 1), very concisely:
In [86]: ts_stand = (df - df.mean()) / df.std()
In [87]: ts_stand.std()
Out[87]:
one 1.0
two 1.0
three 1.0
dtype: float64
In [88]: xs_stand = df.sub(df.mean(1), axis=0).div(df.std(1), axis=0)
In [89]: xs_stand.std(1)
Out[89]:
a 1.0
b 1.0
c 1.0
d 1.0
dtype: float64
Note that methods like cumsum() (opens new window) and cumprod() (opens new window) preserve the location of NaN values. This is somewhat different from expanding() (opens new window) and rolling() (opens new window). For more details please see this note (opens new window).
In [90]: df.cumsum()
Out[90]:
one two three
a 1.400810 -1.643041 NaN
b 1.044340 -0.597130 0.395023
c 1.841608 0.327385 0.387933
d NaN 1.881078 -1.282898
Here is a quick reference summary table of common functions. Each also takes an optional level parameter which applies only if the object has a hierarchical index (opens new window).
Function | Description |
---|---|
count | Number of non-NA observations |
sum | Sum of values |
mean | Mean of values |
mad | Mean absolute deviation |
median | Arithmetic median of values |
min | Minimum |
max | Maximum |
mode | Mode |
abs | Absolute Value |
prod | Product of values |
std | Bessel-corrected sample standard deviation |
var | Unbiased variance |
sem | Standard error of the mean |
skew | Sample skewness (3rd moment) |
kurt | Sample kurtosis (4th moment) |
quantile | Sample quantile (value at %) |
cumsum | Cumulative sum |
cumprod | Cumulative product |
cummax | Cumulative maximum |
cummin | Cumulative minimum |
Note that by chance some NumPy methods, like mean
, std
, and sum
, will exclude NAs on Series input by default:
In [91]: np.mean(df['one'])
Out[91]: 0.6138692844180106
In [92]: np.mean(df['one'].to_numpy())
Out[92]: nan
Series.nunique() (opens new window) will return the number of unique non-NA values in a Series:
In [93]: series = pd.Series(np.random.randn(500))
In [94]: series[20:500] = np.nan
In [95]: series[10:20] = 5
In [96]: series.nunique()
Out[96]: 11
# Summarizing data: describe
There is a convenient describe() (opens new window) function which computes a variety of summary statistics about a Series or the columns of a DataFrame (excluding NAs of course):
In [97]: series = pd.Series(np.random.randn(1000))
In [98]: series[::2] = np.nan
In [99]: series.describe()
Out[99]:
count 500.000000
mean -0.020695
std 1.011840
min -2.683763
25% -0.709297
50% -0.070211
75% 0.712856
max 3.160915
dtype: float64
In [100]: frame = pd.DataFrame(np.random.randn(1000, 5),
.....: columns=['a', 'b', 'c', 'd', 'e'])
.....:
In [101]: frame.iloc[::2] = np.nan
In [102]: frame.describe()
Out[102]:
a b c d e
count 500.000000 500.000000 500.000000 500.000000 500.000000
mean 0.026515 0.022952 -0.047307 -0.052551 0.011210
std 1.016752 0.980046 1.020837 1.008271 1.006726
min -3.000951 -2.637901 -3.303099 -3.159200 -3.188821
25% -0.647623 -0.593587 -0.709906 -0.691338 -0.689176
50% 0.047578 -0.026675 -0.029655 -0.032769 -0.015775
75% 0.723946 0.771931 0.603753 0.667044 0.652221
max 2.740139 2.752332 3.004229 2.728702 3.240991
You can select specific percentiles to include in the output:
In [103]: series.describe(percentiles=[.05, .25, .75, .95])
Out[103]:
count 500.000000
mean -0.020695
std 1.011840
min -2.683763
5% -1.641337
25% -0.709297
50% -0.070211
75% 0.712856
95% 1.699176
max 3.160915
dtype: float64
By default, the median is always included.
For a non-numerical Series object, describe() (opens new window) will give a simple summary of the number of unique values and most frequently occurring values:
In [104]: s = pd.Series(['a', 'a', 'b', 'b', 'a', 'a', np.nan, 'c', 'd', 'a'])
In [105]: s.describe()
Out[105]:
count 9
unique 4
top a
freq 5
dtype: object
Note that on a mixed-type DataFrame object, describe() (opens new window) will restrict the summary to include only numerical columns or, if none are, only categorical columns:
In [106]: frame = pd.DataFrame({'a': ['Yes', 'Yes', 'No', 'No'], 'b': range(4)})
In [107]: frame.describe()
Out[107]:
b
count 4.000000
mean 1.500000
std 1.290994
min 0.000000
25% 0.750000
50% 1.500000
75% 2.250000
max 3.000000
This behavior can be controlled by providing a list of types as include/exclude
arguments. The special value all
can also be used:
In [108]: frame.describe(include=['object'])
Out[108]:
a
count 4
unique 2
top Yes
freq 2
In [109]: frame.describe(include=['number'])
Out[109]:
b
count 4.000000
mean 1.500000
std 1.290994
min 0.000000
25% 0.750000
50% 1.500000
75% 2.250000
max 3.000000
In [110]: frame.describe(include='all')
Out[110]:
a b
count 4 4.000000
unique 2 NaN
top Yes NaN
freq 2 NaN
mean NaN 1.500000
std NaN 1.290994
min NaN 0.000000
25% NaN 0.750000
50% NaN 1.500000
75% NaN 2.250000
max NaN 3.000000
That feature relies on select_dtypes (opens new window). Refer to there for details about accepted inputs.
# Index of Min/Max Values
The idxmin() (opens new window) and idxmax() (opens new window) functions on Series and DataFrame compute the index labels with the minimum and maximum corresponding values:
In [111]: s1 = pd.Series(np.random.randn(5))
In [112]: s1
Out[112]:
0 -0.068822
1 -1.129788
2 -0.269798
3 -0.375580
4 0.513381
dtype: float64
In [113]: s1.idxmin(), s1.idxmax()
Out[113]: (1, 4)
In [114]: df1 = pd.DataFrame(np.random.randn(5, 3), columns=['A', 'B', 'C'])
In [115]: df1
Out[115]:
A B C
0 0.333329 -0.910090 -1.321220
1 2.111424 1.701169 0.858336
2 -0.608055 -2.082155 -0.069618
3 1.412817 -0.562658 0.770042
4 0.373294 -0.965381 -1.607840
In [116]: df1.idxmin(axis=0)
Out[116]:
A 2
B 2
C 4
dtype: int64
In [117]: df1.idxmax(axis=1)
Out[117]:
0 A
1 A
2 C
3 A
4 A
dtype: object
When there are multiple rows (or columns) matching the minimum or maximum value, idxmin() (opens new window) and idxmax() (opens new window) return the first matching index:
In [118]: df3 = pd.DataFrame([2, 1, 1, 3, np.nan], columns=['A'], index=list('edcba'))
In [119]: df3
Out[119]:
A
e 2.0
d 1.0
c 1.0
b 3.0
a NaN
In [120]: df3['A'].idxmin()
Out[120]: 'd'
Note
idxmin
and idxmax
are called argmin
and argmax
in NumPy.
# Value counts (histogramming) / Mode
The value_counts() (opens new window) Series method and top-level function computes a histogram of a 1D array of values. It can also be used as a function on regular arrays:
In [121]: data = np.random.randint(0, 7, size=50)
In [122]: data
Out[122]:
array([6, 4, 1, 3, 4, 4, 4, 6, 5, 2, 6, 1, 0, 4, 3, 2, 5, 3, 4, 0, 5, 3, 0,
1, 5, 0, 1, 5, 3, 4, 1, 2, 3, 2, 4, 6, 1, 4, 3, 5, 2, 1, 2, 4, 1, 6,
3, 6, 3, 3])
In [123]: s = pd.Series(data)
In [124]: s.value_counts()
Out[124]:
4 10
3 10
1 8
6 6
5 6
2 6
0 4
dtype: int64
In [125]: pd.value_counts(data)
Out[125]:
4 10
3 10
1 8
6 6
5 6
2 6
0 4
dtype: int64
Similarly, you can get the most frequently occurring value(s) (the mode) of the values in a Series or DataFrame:
In [126]: s5 = pd.Series([1, 1, 3, 3, 3, 5, 5, 7, 7, 7])
In [127]: s5.mode()
Out[127]:
0 3
1 7
dtype: int64
In [128]: df5 = pd.DataFrame({"A": np.random.randint(0, 7, size=50),
.....: "B": np.random.randint(-10, 15, size=50)})
.....:
In [129]: df5.mode()
Out[129]:
A B
0 0 -9
# Discretization and quantiling
Continuous values can be discretized using the cut() (opens new window) (bins based on values) and qcut() (opens new window) (bins based on sample quantiles) functions:
In [130]: arr = np.random.randn(20)
In [131]: factor = pd.cut(arr, 4)
In [132]: factor
Out[132]:
[(1.27, 2.31], (0.231, 1.27], (-0.809, 0.231], (-1.853, -0.809], (1.27, 2.31], ..., (0.231, 1.27], (-0.809, 0.231], (-1.853, -0.809], (1.27, 2.31], (0.231, 1.27]]
Length: 20
Categories (4, interval[float64]): [(-1.853, -0.809] < (-0.809, 0.231] < (0.231, 1.27] < (1.27, 2.31]]
In [133]: factor = pd.cut(arr, [-5, -1, 0, 1, 5])
In [134]: factor
Out[134]:
[(1, 5], (0, 1], (-1, 0], (-5, -1], (1, 5], ..., (1, 5], (-1, 0], (-5, -1], (1, 5], (0, 1]]
Length: 20
Categories (4, interval[int64]): [(-5, -1] < (-1, 0] < (0, 1] < (1, 5]]
qcut() (opens new window) computes sample quantiles. For example, we could slice up some normally distributed data into equal-size quartiles like so:
In [135]: arr = np.random.randn(30)
In [136]: factor = pd.qcut(arr, [0, .25, .5, .75, 1])
In [137]: factor
Out[137]:
[(-2.219, -0.669], (-0.669, 0.00453], (0.367, 2.369], (0.00453, 0.367], (0.367, 2.369], ..., (0.00453, 0.367], (0.367, 2.369], (0.00453, 0.367], (-0.669, 0.00453], (0.367, 2.369]]
Length: 30
Categories (4, interval[float64]): [(-2.219, -0.669] < (-0.669, 0.00453] < (0.00453, 0.367] <
(0.367, 2.369]]
In [138]: pd.value_counts(factor)
Out[138]:
(0.367, 2.369] 8
(-2.219, -0.669] 8
(0.00453, 0.367] 7
(-0.669, 0.00453] 7
dtype: int64
We can also pass infinite values to define the bins:
In [139]: arr = np.random.randn(20)
In [140]: factor = pd.cut(arr, [-np.inf, 0, np.inf])
In [141]: factor
Out[141]:
[(0.0, inf], (-inf, 0.0], (-inf, 0.0], (-inf, 0.0], (-inf, 0.0], ..., (-inf, 0.0], (-inf, 0.0], (0.0, inf], (-inf, 0.0], (-inf, 0.0]]
Length: 20
Categories (2, interval[float64]): [(-inf, 0.0] < (0.0, inf]]
# Function application
To apply your own or another library’s functions to pandas objects, you should be aware of the three methods below. The appropriate method to use depends on whether your function expects to operate on an entire DataFrame
or Series
, row- or column-wise, or elementwise.
- Tablewise Function Application (opens new window): pipe() (opens new window)
- Row or Column-wise Function Application (opens new window): apply() (opens new window)
- Aggregation API (opens new window): agg() (opens new window) and transform() (opens new window)
- Applying Elementwise Functions (opens new window): applymap() (opens new window)
# Tablewise Function Application
DataFrames
and Series
can of course just be passed into functions. However, if the function needs to be called in a chain, consider using the pipe() (opens new window) method. Compare the following
# f, g, and h are functions taking and returning ``DataFrames``
>>> f(g(h(df), arg1=1), arg2=2, arg3=3)
with the equivalent
>>> (df.pipe(h)
... .pipe(g, arg1=1)
... .pipe(f, arg2=2, arg3=3))
Pandas encourages the second style, which is known as method chaining. pipe
makes it easy to use your own or another library’s functions in method chains, alongside pandas’ methods.
In the example above, the functions f
, g
, and h each expected the DataFrame
as the first positional argument. What if the function you wish to apply takes its data as, say, the second argument? In this case, provide pipe
with a tuple of (callable, data_keyword)
. .pipe
will route the DataFrame
to the argument specified in the tuple.
For example, we can fit a regression using statsmodels. Their API expects a formula first and a DataFrame
as the second argument, data
. We pass in the function, keyword pair (sm.ols, 'data')
to pipe:
In [142]: import statsmodels.formula.api as sm
In [143]: bb = pd.read_csv('data/baseball.csv', index_col='id')
In [144]: (bb.query('h > 0')
.....: .assign(ln_h=lambda df: np.log(df.h))
.....: .pipe((sm.ols, 'data'), 'hr ~ ln_h + year + g + C(lg)')
.....: .fit()
.....: .summary()
.....: )
.....:
Out[144]:
<class 'statsmodels.iolib.summary.Summary'>
"""
OLS Regression Results
==============================================================================
Dep. Variable: hr R-squared: 0.685
Model: OLS Adj. R-squared: 0.665
Method: Least Squares F-statistic: 34.28
Date: Tue, 12 Mar 2019 Prob (F-statistic): 3.48e-15
Time: 22:38:35 Log-Likelihood: -205.92
No. Observations: 68 AIC: 421.8
Df Residuals: 63 BIC: 432.9
Df Model: 4
Covariance Type: nonrobust
===============================================================================
coef std err t P>|t| [0.025 0.975]
-------------------------------------------------------------------------------
Intercept -8484.7720 4664.146 -1.819 0.074 -1.78e+04 835.780
C(lg)[T.NL] -2.2736 1.325 -1.716 0.091 -4.922 0.375
ln_h -1.3542 0.875 -1.547 0.127 -3.103 0.395
year 4.2277 2.324 1.819 0.074 -0.417 8.872
g 0.1841 0.029 6.258 0.000 0.125 0.243
==============================================================================
Omnibus: 10.875 Durbin-Watson: 1.999
Prob(Omnibus): 0.004 Jarque-Bera (JB): 17.298
Skew: 0.537 Prob(JB): 0.000175
Kurtosis: 5.225 Cond. No. 1.49e+07
==============================================================================
Warnings:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The condition number is large, 1.49e+07. This might indicate that there are
strong multicollinearity or other numerical problems.
"""
The pipe method is inspired by unix pipes and more recently dplyr (opens new window) and magrittr (opens new window), which have introduced the popular (%>%) (read pipe) operator for R (opens new window). The implementation of pipe here is quite clean and feels right at home in python. We encourage you to view the source code of pipe() (opens new window).
# Row or Column-wise Function Application
Arbitrary functions can be applied along the axes of a DataFrame using the apply() (opens new window) method, which, like the descriptive statistics methods, takes an optional axis
argument:
In [145]: df.apply(np.mean)
Out[145]:
one 0.613869
two 0.470270
three -0.427633
dtype: float64
In [146]: df.apply(np.mean, axis=1)
Out[146]:
a -0.121116
b 0.361488
c 0.571564
d -0.058569
dtype: float64
In [147]: df.apply(lambda x: x.max() - x.min())
Out[147]:
one 1.757280
two 3.196734
three 2.065853
dtype: float64
In [148]: df.apply(np.cumsum)
Out[148]:
one two three
a 1.400810 -1.643041 NaN
b 1.044340 -0.597130 0.395023
c 1.841608 0.327385 0.387933
d NaN 1.881078 -1.282898
In [149]: df.apply(np.exp)
Out[149]:
one two three
a 4.058485 0.193391 NaN
b 0.700143 2.845991 1.484418
c 2.219469 2.520646 0.992935
d NaN 4.728902 0.188091
The apply() (opens new window) method will also dispatch on a string method name.
In [150]: df.apply('mean')
Out[150]:
one 0.613869
two 0.470270
three -0.427633
dtype: float64
In [151]: df.apply('mean', axis=1)
Out[151]:
a -0.121116
b 0.361488
c 0.571564
d -0.058569
dtype: float64
The return type of the function passed to apply() (opens new window) affects the type of the final output from DataFrame.apply
for the default behaviour:
- If the applied function returns a
Series
, the final output is aDataFrame
. The columns match the index of theSeries
returned by the applied function. - If the applied function returns any other type, the final output is a
Series
.
This default behaviour can be overridden using the result_type
, which accepts three options: reduce
, broadcast
, and expand
. These will determine how list-likes return values expand (or not) to a DataFrame
.
apply() (opens new window) combined with some cleverness can be used to answer many questions about a data set. For example, suppose we wanted to extract the date where the maximum value for each column occurred:
In [152]: tsdf = pd.DataFrame(np.random.randn(1000, 3), columns=['A', 'B', 'C'],
.....: index=pd.date_range('1/1/2000', periods=1000))
.....:
In [153]: tsdf.apply(lambda x: x.idxmax())
Out[153]:
A 2000-06-10
B 2001-07-04
C 2002-08-09
dtype: datetime64[ns]
You may also pass additional arguments and keyword arguments to the apply() (opens new window) method. For instance, consider the following function you would like to apply:
def subtract_and_divide(x, sub, divide=1):
return (x - sub) / divide
You may then apply this function as follows:
df.apply(subtract_and_divide, args=(5,), divide=3)
Another useful feature is the ability to pass Series methods to carry out some Series operation on each column or row:
In [154]: tsdf
Out[154]:
A B C
2000-01-01 -0.652077 -0.239118 0.841272
2000-01-02 0.130224 0.347505 -0.385666
2000-01-03 -1.700237 -0.925899 0.199564
2000-01-04 NaN NaN NaN
2000-01-05 NaN NaN NaN
2000-01-06 NaN NaN NaN
2000-01-07 NaN NaN NaN
2000-01-08 0.339319 -0.978307 0.689492
2000-01-09 0.601495 -0.630417 -1.040079
2000-01-10 1.511723 -0.427952 -0.400154
In [155]: tsdf.apply(pd.Series.interpolate)
Out[155]:
A B C
2000-01-01 -0.652077 -0.239118 0.841272
2000-01-02 0.130224 0.347505 -0.385666
2000-01-03 -1.700237 -0.925899 0.199564
2000-01-04 -1.292326 -0.936380 0.297550
2000-01-05 -0.884415 -0.946862 0.395535
2000-01-06 -0.476503 -0.957344 0.493521
2000-01-07 -0.068592 -0.967825 0.591507
2000-01-08 0.339319 -0.978307 0.689492
2000-01-09 0.601495 -0.630417 -1.040079
2000-01-10 1.511723 -0.427952 -0.400154
Finally, apply() (opens new window) takes an argument raw which is False by default, which converts each row or column into a Series before applying the function. When set to True, the passed function will instead receive an ndarray object, which has positive performance implications if you do not need the indexing functionality.
# Aggregation API
New in version 0.20.0.
The aggregation API allows one to express possibly multiple aggregation operations in a single concise way. This API is similar across pandas objects, see groupby API (opens new window), the window functions API (opens new window), and the resample API (opens new window). The entry point for aggregation is DataFrame.aggregate() (opens new window), or the alias DataFrame.agg() (opens new window).
We will use a similar starting frame from above:
In [156]: tsdf = pd.DataFrame(np.random.randn(10, 3), columns=['A', 'B', 'C'],
.....: index=pd.date_range('1/1/2000', periods=10))
.....:
In [157]: tsdf.iloc[3:7] = np.nan
In [158]: tsdf
Out[158]:
A B C
2000-01-01 0.396575 -0.364907 0.051290
2000-01-02 -0.310517 -0.369093 -0.353151
2000-01-03 -0.522441 1.659115 -0.272364
2000-01-04 NaN NaN NaN
2000-01-05 NaN NaN NaN
2000-01-06 NaN NaN NaN
2000-01-07 NaN NaN NaN
2000-01-08 -0.057890 1.148901 0.011528
2000-01-09 -0.155578 0.742150 0.107324
2000-01-10 0.531797 0.080254 0.833297
Using a single function is equivalent to papply() (opens new window). You can also pass named methods as strings. These will return a Series of the aggregated output:
In [159]: tsdf.agg(np.sum)
Out[159]:
A -0.118055
B 2.896420
C 0.377923
dtype: float64
In [160]: tsdf.agg('sum')
Out[160]:
A -0.118055
B 2.896420
C 0.377923
dtype: float64
# these are equivalent to a ``.sum()`` because we are aggregating
# on a single function
In [161]: tsdf.sum()
Out[161]:
A -0.118055
B 2.896420
C 0.377923
dtype: float64
Single aggregations on a Series
this will return a scalar value:
In [162]: tsdf.A.agg('sum')
Out[162]: -0.11805495013260869
# Aggregating with multiple functions
You can pass multiple aggregation arguments as a list. The results of each of the passed functions will be a row in the resulting DataFrame
. These are naturally named from the aggregation function.
In [163]: tsdf.agg(['sum'])
Out[163]:
A B C
sum -0.118055 2.89642 0.377923
Multiple functions yield multiple rows:
In [164]: tsdf.agg(['sum', 'mean'])
Out[164]:
A B C
sum -0.118055 2.896420 0.377923
mean -0.019676 0.482737 0.062987
On a Series
, multiple functions return a Series
, indexed by the function names:
In [165]: tsdf.A.agg(['sum', 'mean'])
Out[165]:
sum -0.118055
mean -0.019676
Name: A, dtype: float64
Passing a lambda
function will yield a <lambda>
named row:
In [166]: tsdf.A.agg(['sum', lambda x: x.mean()])
Out[166]:
sum -0.118055
<lambda> -0.019676
Name: A, dtype: float64
Passing a named function will yield that name for the row:
In [167]: def mymean(x):
.....: return x.mean()
.....:
In [168]: tsdf.A.agg(['sum', mymean])
Out[168]:
sum -0.118055
mymean -0.019676
Name: A, dtype: float64
# Aggregating with a dict
Passing a dictionary of column names to a scalar or a list of scalars, to DataFrame.agg allows you to customize which functions are applied to which columns. Note that the results are not in any particular order, you can use an OrderedDict
instead to guarantee ordering.
In [169]: tsdf.agg({'A': 'mean', 'B': 'sum'})
Out[169]:
A -0.019676
B 2.896420
dtype: float64
Passing a list-like will generate a DataFrame
output. You will get a matrix-like output of all of the aggregators. The output will consist of all unique functions. Those that are not noted for a particular column will be NaN
:
In [170]: tsdf.agg({'A': ['mean', 'min'], 'B': 'sum'})
Out[170]:
A B
mean -0.019676 NaN
min -0.522441 NaN
sum NaN 2.89642
# Mixed Dtypes
When presented with mixed dtypes that cannot aggregate, .agg
will only take the valid aggregations. This is similar to how groupby .agg
works.
In [171]: mdf = pd.DataFrame({'A': [1, 2, 3],
.....: 'B': [1., 2., 3.],
.....: 'C': ['foo', 'bar', 'baz'],
.....: 'D': pd.date_range('20130101', periods=3)})
.....:
In [172]: mdf.dtypes
Out[172]:
A int64
B float64
C object
D datetime64[ns]
dtype: object
In [173]: mdf.agg(['min', 'sum'])
Out[173]:
A B C D
min 1 1.0 bar 2013-01-01
sum 6 6.0 foobarbaz NaT
# Custom describe
With .agg()
is it possible to easily create a custom describe function, similar to the built in describe function (opens new window).
In [174]: from functools import partial
In [175]: q_25 = partial(pd.Series.quantile, q=0.25)
In [176]: q_25.__name__ = '25%'
In [177]: q_75 = partial(pd.Series.quantile, q=0.75)
In [178]: q_75.__name__ = '75%'
In [179]: tsdf.agg(['count', 'mean', 'std', 'min', q_25, 'median', q_75, 'max'])
Out[179]:
A B C
count 6.000000 6.000000 6.000000
mean -0.019676 0.482737 0.062987
std 0.408577 0.836785 0.420419
min -0.522441 -0.369093 -0.353151
25% -0.271782 -0.253617 -0.201391
median -0.106734 0.411202 0.031409
75% 0.282958 1.047213 0.093315
max 0.531797 1.659115 0.833297
# Transform API
New in version 0.20.0.
The transform() (opens new window) method returns an object that is indexed the same (same size) as the original. This API allows you to provide multiple operations at the same time rather than one-by-one. Its API is quite similar to the .agg
API.
We create a frame similar to the one used in the above sections.
In [180]: tsdf = pd.DataFrame(np.random.randn(10, 3), columns=['A', 'B', 'C'],
.....: index=pd.date_range('1/1/2000', periods=10))
.....:
In [181]: tsdf.iloc[3:7] = np.nan
In [182]: tsdf
Out[182]:
A B C
2000-01-01 -1.219234 -1.652700 -0.698277
2000-01-02 1.858653 -0.738520 0.630364
2000-01-03 -0.112596 1.525897 1.364225
2000-01-04 NaN NaN NaN
2000-01-05 NaN NaN NaN
2000-01-06 NaN NaN NaN
2000-01-07 NaN NaN NaN
2000-01-08 -0.527790 -1.715506 0.387274
2000-01-09 -0.569341 0.569386 0.134136
2000-01-10 -0.413993 -0.862280 0.662690
Transform the entire frame. .transform()
allows input functions as: a NumPy function, a string function name or a user defined function.
In [183]: tsdf.transform(np.abs)
Out[183]:
A B C
2000-01-01 1.219234 1.652700 0.698277
2000-01-02 1.858653 0.738520 0.630364
2000-01-03 0.112596 1.525897 1.364225
2000-01-04 NaN NaN NaN
2000-01-05 NaN NaN NaN
2000-01-06 NaN NaN NaN
2000-01-07 NaN NaN NaN
2000-01-08 0.527790 1.715506 0.387274
2000-01-09 0.569341 0.569386 0.134136
2000-01-10 0.413993 0.862280 0.662690
In [184]: tsdf.transform('abs')
Out[184]:
A B C
2000-01-01 1.219234 1.652700 0.698277
2000-01-02 1.858653 0.738520 0.630364
2000-01-03 0.112596 1.525897 1.364225
2000-01-04 NaN NaN NaN
2000-01-05 NaN NaN NaN
2000-01-06 NaN NaN NaN
2000-01-07 NaN NaN NaN
2000-01-08 0.527790 1.715506 0.387274
2000-01-09 0.569341 0.569386 0.134136
2000-01-10 0.413993 0.862280 0.662690
In [185]: tsdf.transform(lambda x: x.abs())
Out[185]:
A B C
2000-01-01 1.219234 1.652700 0.698277
2000-01-02 1.858653 0.738520 0.630364
2000-01-03 0.112596 1.525897 1.364225
2000-01-04 NaN NaN NaN
2000-01-05 NaN NaN NaN
2000-01-06 NaN NaN NaN
2000-01-07 NaN NaN NaN
2000-01-08 0.527790 1.715506 0.387274
2000-01-09 0.569341 0.569386 0.134136
2000-01-10 0.413993 0.862280 0.662690
Here transform() (opens new window) received a single function; this is equivalent to a ufunc application.
In [186]: np.abs(tsdf)
Out[186]:
A B C
2000-01-01 1.219234 1.652700 0.698277
2000-01-02 1.858653 0.738520 0.630364
2000-01-03 0.112596 1.525897 1.364225
2000-01-04 NaN NaN NaN
2000-01-05 NaN NaN NaN
2000-01-06 NaN NaN NaN
2000-01-07 NaN NaN NaN
2000-01-08 0.527790 1.715506 0.387274
2000-01-09 0.569341 0.569386 0.134136
2000-01-10 0.413993 0.862280 0.662690
Passing a single function to .transform()
with a Series
will yield a single Series
in return.
In [187]: tsdf.A.transform(np.abs)
Out[187]:
2000-01-01 1.219234
2000-01-02 1.858653
2000-01-03 0.112596
2000-01-04 NaN
2000-01-05 NaN
2000-01-06 NaN
2000-01-07 NaN
2000-01-08 0.527790
2000-01-09 0.569341
2000-01-10 0.413993
Freq: D, Name: A, dtype: float64
# Transform with multiple functions
Passing multiple functions will yield a column MultiIndexed DataFrame. The first level will be the original frame column names; the second level will be the names of the transforming functions.
In [188]: tsdf.transform([np.abs, lambda x: x + 1])
Out[188]:
A B C
absolute <lambda> absolute <lambda> absolute <lambda>
2000-01-01 1.219234 -0.219234 1.652700 -0.652700 0.698277 0.301723
2000-01-02 1.858653 2.858653 0.738520 0.261480 0.630364 1.630364
2000-01-03 0.112596 0.887404 1.525897 2.525897 1.364225 2.364225
2000-01-04 NaN NaN NaN NaN NaN NaN
2000-01-05 NaN NaN NaN NaN NaN NaN
2000-01-06 NaN NaN NaN NaN NaN NaN
2000-01-07 NaN NaN NaN NaN NaN NaN
2000-01-08 0.527790 0.472210 1.715506 -0.715506 0.387274 1.387274
2000-01-09 0.569341 0.430659 0.569386 1.569386 0.134136 1.134136
2000-01-10 0.413993 0.586007 0.862280 0.137720 0.662690 1.662690
Passing multiple functions to a Series will yield a DataFrame. The resulting column names will be the transforming functions.
In [189]: tsdf.A.transform([np.abs, lambda x: x + 1])
Out[189]:
absolute <lambda>
2000-01-01 1.219234 -0.219234
2000-01-02 1.858653 2.858653
2000-01-03 0.112596 0.887404
2000-01-04 NaN NaN
2000-01-05 NaN NaN
2000-01-06 NaN NaN
2000-01-07 NaN NaN
2000-01-08 0.527790 0.472210
2000-01-09 0.569341 0.430659
2000-01-10 0.413993 0.586007
# Transforming with a dict
Passing a dict of functions will allow selective transforming per column.
In [190]: tsdf.transform({'A': np.abs, 'B': lambda x: x + 1})
Out[190]:
A B
2000-01-01 1.219234 -0.652700
2000-01-02 1.858653 0.261480
2000-01-03 0.112596 2.525897
2000-01-04 NaN NaN
2000-01-05 NaN NaN
2000-01-06 NaN NaN
2000-01-07 NaN NaN
2000-01-08 0.527790 -0.715506
2000-01-09 0.569341 1.569386
2000-01-10 0.413993 0.137720
Passing a dict of lists will generate a MultiIndexed DataFrame with these selective transforms.
In [191]: tsdf.transform({'A': np.abs, 'B': [lambda x: x + 1, 'sqrt']})
Out[191]:
A B
absolute <lambda> sqrt
2000-01-01 1.219234 -0.652700 NaN
2000-01-02 1.858653 0.261480 NaN
2000-01-03 0.112596 2.525897 1.235272
2000-01-04 NaN NaN NaN
2000-01-05 NaN NaN NaN
2000-01-06 NaN NaN NaN
2000-01-07 NaN NaN NaN
2000-01-08 0.527790 -0.715506 NaN
2000-01-09 0.569341 1.569386 0.754577
2000-01-10 0.413993 0.137720 NaN
# Applying Elementwise Functions
Since not all functions can be vectorized (accept NumPy arrays and return another array or value), the methods applymap() (opens new window) on DataFrame and analogously map() (opens new window) on Series accept any Python function taking a single value and returning a single value. For example:
In [192]: df4
Out[192]:
one two three
a 1.400810 -1.643041 NaN
b -0.356470 1.045911 0.395023
c 0.797268 0.924515 -0.007090
d NaN 1.553693 -1.670830
In [193]: def f(x):
.....: return len(str(x))
.....:
In [194]: df4['one'].map(f)
Out[194]:
a 18
b 19
c 18
d 3
Name: one, dtype: int64
In [195]: df4.applymap(f)
Out[195]:
one two three
a 18 19 3
b 19 18 19
c 18 18 21
d 3 18 19
Series.map() (opens new window) has an additional feature; it can be used to easily “link” or “map” values defined by a secondary series. This is closely related to merging/joining functionality (opens new window):
In [196]: s = pd.Series(['six', 'seven', 'six', 'seven', 'six'],
.....: index=['a', 'b', 'c', 'd', 'e'])
.....:
In [197]: t = pd.Series({'six': 6., 'seven': 7.})
In [198]: s
Out[198]:
a six
b seven
c six
d seven
e six
dtype: object
In [199]: s.map(t)
Out[199]:
a 6.0
b 7.0
c 6.0
d 7.0
e 6.0
dtype: float64
# Reindexing and altering labels
reindex() (opens new window) is the fundamental data alignment method in pandas. It is used to implement nearly all other features relying on label-alignment functionality. To reindex means to conform the data to match a given set of labels along a particular axis. This accomplishes several things:
- Reorders the existing data to match a new set of labels
- Inserts missing value (NA) markers in label locations where no data for that label existed
- If specified, fill data for missing labels using logic (highly relevant to working with time series data)
Here is a simple example:
In [200]: s = pd.Series(np.random.randn(5), index=['a', 'b', 'c', 'd', 'e'])
In [201]: s
Out[201]:
a -0.368437
b -0.036473
c 0.774830
d -0.310545
e 0.709717
dtype: float64
In [202]: s.reindex(['e', 'b', 'f', 'd'])
Out[202]:
e 0.709717
b -0.036473
f NaN
d -0.310545
dtype: float64
Here, the f label was not contained in the Series and hence appears as NaN
in the result.
With a DataFrame, you can simultaneously reindex the index and columns:
In [203]: df
Out[203]:
one two three
a 1.400810 -1.643041 NaN
b -0.356470 1.045911 0.395023
c 0.797268 0.924515 -0.007090
d NaN 1.553693 -1.670830
In [204]: df.reindex(index=['c', 'f', 'b'], columns=['three', 'two', 'one'])
Out[204]:
three two one
c -0.007090 0.924515 0.797268
f NaN NaN NaN
b 0.395023 1.045911 -0.356470
You may also use reindex
with an axis
keyword:
In [205]: df.reindex(['c', 'f', 'b'], axis='index')
Out[205]:
one two three
c 0.797268 0.924515 -0.007090
f NaN NaN NaN
b -0.356470 1.045911 0.395023
Note that the Index
objects containing the actual axis labels can be shared between objects. So if we have a Series and a DataFrame, the following can be done:
In [206]: rs = s.reindex(df.index)
In [207]: rs
Out[207]:
a -0.368437
b -0.036473
c 0.774830
d -0.310545
dtype: float64
In [208]: rs.index is df.index
Out[208]: True
This means that the reindexed Series’s index is the same Python object as the DataFrame’s index.
New in version 0.21.0.
DataFrame.reindex() (opens new window) also supports an “axis-style” calling convention, where you specify a single labels
argument and the axis
it applies to.
In [209]: df.reindex(['c', 'f', 'b'], axis='index')
Out[209]:
one two three
c 0.797268 0.924515 -0.007090
f NaN NaN NaN
b -0.356470 1.045911 0.395023
In [210]: df.reindex(['three', 'two', 'one'], axis='columns')
Out[210]:
three two one
a NaN -1.643041 1.400810
b 0.395023 1.045911 -0.356470
c -0.007090 0.924515 0.797268
d -1.670830 1.553693 NaN
See also
MultiIndex / Advanced Indexing (opens new window) is an even more concise way of doing reindexing.
Note
When writing performance-sensitive code, there is a good reason to spend some time becoming a reindexing ninja: many operations are faster on pre-aligned data. Adding two unaligned DataFrames internally triggers a reindexing step. For exploratory analysis you will hardly notice the difference (because reindex has been heavily optimized), but when CPU cycles matter sprinkling a few explicit reindex calls here and there can have an impact.
# Reindexing to align with another object
You may wish to take an object and reindex its axes to be labeled the same as another object. While the syntax for this is straightforward albeit verbose, it is a common enough operation that the reindex_like() (opens new window) method is available to make this simpler:
In [211]: df2
Out[211]:
one two
a 1.400810 -1.643041
b -0.356470 1.045911
c 0.797268 0.924515
In [212]: df3
Out[212]:
one two
a 0.786941 -1.752170
b -0.970339 0.936783
c 0.183399 0.815387
In [213]: df.reindex_like(df2)
Out[213]:
one two
a 1.400810 -1.643041
b -0.356470 1.045911
c 0.797268 0.924515
# Aligning objects with each other with align
The align() (opens new window) method is the fastest way to simultaneously align two objects. It supports a join
argument (related to joining and merging (opens new window)):
join='outer'
: take the union of the indexes (default)join='left'
: use the calling object’s indexjoin='right'
: use the passed object’s indexjoin='inner'
: intersect the indexes
It returns a tuple with both of the reindexed Series:
In [214]: s = pd.Series(np.random.randn(5), index=['a', 'b', 'c', 'd', 'e'])
In [215]: s1 = s[:4]
In [216]: s2 = s[1:]
In [217]: s1.align(s2)
Out[217]:
(a -0.610263
b -0.170883
c 0.367255
d 0.273860
e NaN
dtype: float64, a NaN
b -0.170883
c 0.367255
d 0.273860
e 0.314782
dtype: float64)
In [218]: s1.align(s2, join='inner')
Out[218]:
(b -0.170883
c 0.367255
d 0.273860
dtype: float64, b -0.170883
c 0.367255
d 0.273860
dtype: float64)
In [219]: s1.align(s2, join='left')
Out[219]:
(a -0.610263
b -0.170883
c 0.367255
d 0.273860
dtype: float64, a NaN
b -0.170883
c 0.367255
d 0.273860
dtype: float64)
For DataFrames, the join method will be applied to both the index and the columns by default:
In [220]: df.align(df2, join='inner')
Out[220]:
( one two
a 1.400810 -1.643041
b -0.356470 1.045911
c 0.797268 0.924515, one two
a 1.400810 -1.643041
b -0.356470 1.045911
c 0.797268 0.924515)
You can also pass an axis
option to only align on the specified axis:
In [221]: df.align(df2, join='inner', axis=0)
Out[221]:
( one two three
a 1.400810 -1.643041 NaN
b -0.356470 1.045911 0.395023
c 0.797268 0.924515 -0.007090, one two
a 1.400810 -1.643041
b -0.356470 1.045911
c 0.797268 0.924515)
If you pass a Series to DataFrame.align() (opens new window), you can choose to align both objects either on the DataFrame’s index or columns using the axis
argument:
In [222]: df.align(df2.iloc[0], axis=1)
Out[222]:
( one three two
a 1.400810 NaN -1.643041
b -0.356470 0.395023 1.045911
c 0.797268 -0.007090 0.924515
d NaN -1.670830 1.553693, one 1.400810
three NaN
two -1.643041
Name: a, dtype: float64)
# Filling while reindexing
reindex() (opens new window) takes an optional parameter method
which is a filling method chosen from the following table:
Method | Action |
---|---|
pad / ffill | Fill values forward |
bfill / backfill | Fill values backward |
nearest | Fill from the nearest index value |
We illustrate these fill methods on a simple Series:
In [223]: rng = pd.date_range('1/3/2000', periods=8)
In [224]: ts = pd.Series(np.random.randn(8), index=rng)
In [225]: ts2 = ts[[0, 3, 6]]
In [226]: ts
Out[226]:
2000-01-03 -0.082578
2000-01-04 0.768554
2000-01-05 0.398842
2000-01-06 -0.357956
2000-01-07 0.156403
2000-01-08 -1.347564
2000-01-09 0.253506
2000-01-10 1.228964
Freq: D, dtype: float64
In [227]: ts2
Out[227]:
2000-01-03 -0.082578
2000-01-06 -0.357956
2000-01-09 0.253506
dtype: float64
In [228]: ts2.reindex(ts.index)
Out[228]:
2000-01-03 -0.082578
2000-01-04 NaN
2000-01-05 NaN
2000-01-06 -0.357956
2000-01-07 NaN
2000-01-08 NaN
2000-01-09 0.253506
2000-01-10 NaN
Freq: D, dtype: float64
In [229]: ts2.reindex(ts.index, method='ffill')
Out[229]:
2000-01-03 -0.082578
2000-01-04 -0.082578
2000-01-05 -0.082578
2000-01-06 -0.357956
2000-01-07 -0.357956
2000-01-08 -0.357956
2000-01-09 0.253506
2000-01-10 0.253506
Freq: D, dtype: float64
In [230]: ts2.reindex(ts.index, method='bfill')
Out[230]:
2000-01-03 -0.082578
2000-01-04 -0.357956
2000-01-05 -0.357956
2000-01-06 -0.357956
2000-01-07 0.253506
2000-01-08 0.253506
2000-01-09 0.253506
2000-01-10 NaN
Freq: D, dtype: float64
In [231]: ts2.reindex(ts.index, method='nearest')
Out[231]:
2000-01-03 -0.082578
2000-01-04 -0.082578
2000-01-05 -0.357956
2000-01-06 -0.357956
2000-01-07 -0.357956
2000-01-08 0.253506
2000-01-09 0.253506
2000-01-10 0.253506
Freq: D, dtype: float64
These methods require that the indexes are ordered increasing or decreasing.
Note that the same result could have been achieved using fillna (opens new window) (except for method='nearest'
) or interpolate (opens new window):
In [232]: ts2.reindex(ts.index).fillna(method='ffill')
Out[232]:
2000-01-03 -0.082578
2000-01-04 -0.082578
2000-01-05 -0.082578
2000-01-06 -0.357956
2000-01-07 -0.357956
2000-01-08 -0.357956
2000-01-09 0.253506
2000-01-10 0.253506
Freq: D, dtype: float64
reindex() (opens new window) will raise a ValueError if the index is not monotonically increasing or decreasing. fillna() (opens new window) and interpolate() (opens new window) will not perform any checks on the order of the index.
# Limits on filling while reindexing
The limit
and tolerance
arguments provide additional control over filling while reindexing. Limit specifies the maximum count of consecutive matches:
In [233]: ts2.reindex(ts.index, method='ffill', limit=1)
Out[233]:
2000-01-03 -0.082578
2000-01-04 -0.082578
2000-01-05 NaN
2000-01-06 -0.357956
2000-01-07 -0.357956
2000-01-08 NaN
2000-01-09 0.253506
2000-01-10 0.253506
Freq: D, dtype: float64
In contrast, tolerance specifies the maximum distance between the index and indexer values:
In [234]: ts2.reindex(ts.index, method='ffill', tolerance='1 day')
Out[234]:
2000-01-03 -0.082578
2000-01-04 -0.082578
2000-01-05 NaN
2000-01-06 -0.357956
2000-01-07 -0.357956
2000-01-08 NaN
2000-01-09 0.253506
2000-01-10 0.253506
Freq: D, dtype: float64
Notice that when used on a DatetimeIndex
, TimedeltaIndex
or PeriodIndex
, tolerance
will coerced into a Timedelta
if possible. This allows you to specify tolerance with appropriate strings.
# Dropping labels from an axis
A method closely related to reindex
is the drop() (opens new window) function. It removes a set of labels from an axis:
In [235]: df
Out[235]:
one two three
a 1.400810 -1.643041 NaN
b -0.356470 1.045911 0.395023
c 0.797268 0.924515 -0.007090
d NaN 1.553693 -1.670830
In [236]: df.drop(['a', 'd'], axis=0)
Out[236]:
one two three
b -0.356470 1.045911 0.395023
c 0.797268 0.924515 -0.007090
In [237]: df.drop(['one'], axis=1)
Out[237]:
two three
a -1.643041 NaN
b 1.045911 0.395023
c 0.924515 -0.007090
d 1.553693 -1.670830
Note that the following also works, but is a bit less obvious / clean:
In [238]: df.reindex(df.index.difference(['a', 'd']))
Out[238]:
one two three
b -0.356470 1.045911 0.395023
c 0.797268 0.924515 -0.007090
# Renaming / mapping labels
The rename() (opens new window) method allows you to relabel an axis based on some mapping (a dict or Series) or an arbitrary function.
In [239]: s
Out[239]:
a -0.610263
b -0.170883
c 0.367255
d 0.273860
e 0.314782
dtype: float64
In [240]: s.rename(str.upper)
Out[240]:
A -0.610263
B -0.170883
C 0.367255
D 0.273860
E 0.314782
dtype: float64
If you pass a function, it must return a value when called with any of the labels (and must produce a set of unique values). A dict or Series can also be used:
In [241]: df.rename(columns={'one': 'foo', 'two': 'bar'},
.....: index={'a': 'apple', 'b': 'banana', 'd': 'durian'})
.....:
Out[241]:
foo bar three
apple 1.400810 -1.643041 NaN
banana -0.356470 1.045911 0.395023
c 0.797268 0.924515 -0.007090
durian NaN 1.553693 -1.670830
If the mapping doesn’t include a column/index label, it isn’t renamed. Note that extra labels in the mapping don’t throw an error.
New in version 0.21.0.
DataFrame.rename() (opens new window) also supports an “axis-style” calling convention, where you specify a single mapper and the axis to apply that mapping to.
In [242]: df.rename({'one': 'foo', 'two': 'bar'}, axis='columns')
Out[242]:
foo bar three
a 1.400810 -1.643041 NaN
b -0.356470 1.045911 0.395023
c 0.797268 0.924515 -0.007090
d NaN 1.553693 -1.670830
In [243]: df.rename({'a': 'apple', 'b': 'banana', 'd': 'durian'}, axis='index')
Out[243]:
one two three
apple 1.400810 -1.643041 NaN
banana -0.356470 1.045911 0.395023
c 0.797268 0.924515 -0.007090
durian NaN 1.553693 -1.670830
The rename() (opens new window) method also provides an inplace
named parameter that is by default False and copies the underlying data. Pass inplace=True
to rename the data in place.
New in version 0.18.0.
Finally, rename() (opens new window) also accepts a scalar or list-like for altering the Series.name
attribute.
In [244]: s.rename("scalar-name")
Out[244]:
a -0.610263
b -0.170883
c 0.367255
d 0.273860
e 0.314782
Name: scalar-name, dtype: float64
New in version 0.24.0.
The methods rename_axis() (opens new window) and rename_axis() (opens new window) allow specific names of a MultiIndex to be changed (as opposed to the labels).
In [245]: df = pd.DataFrame({'x': [1, 2, 3, 4, 5, 6],
.....: 'y': [10, 20, 30, 40, 50, 60]},
.....: index=pd.MultiIndex.from_product([['a', 'b', 'c'], [1, 2]],
.....: names=['let', 'num']))
.....:
In [246]: df
Out[246]:
x y
let num
a 1 1 10
2 2 20
b 1 3 30
2 4 40
c 1 5 50
2 6 60
In [247]: df.rename_axis(index={'let': 'abc'})
Out[247]:
x y
abc num
a 1 1 10
2 2 20
b 1 3 30
2 4 40
c 1 5 50
2 6 60
In [248]: df.rename_axis(index=str.upper)
Out[248]:
x y
LET NUM
a 1 1 10
2 2 20
b 1 3 30
2 4 40
c 1 5 50
2 6 60
# Iteration
The behavior of basic iteration over pandas objects depends on the type. When iterating over a Series, it is regarded as array-like, and basic iteration produces the values. Other data structures, like DataFrame and Panel, follow the dict-like convention of iterating over the “keys” of the objects.
In short, basic iteration (for i in object
) produces:
- Series: values
- DataFrame: column labels
- Panel: item labels
Thus, for example, iterating over a DataFrame gives you the column names:
In [249]: df = pd.DataFrame({'col1': np.random.randn(3),
.....: 'col2': np.random.randn(3)}, index=['a', 'b', 'c'])
.....:
In [250]: for col in df:
.....: print(col)
.....:
col1
col2
Pandas objects also have the dict-like iteritems() (opens new window) method to iterate over the (key, value) pairs.
To iterate over the rows of a DataFrame, you can use the following methods:
- iterrows() (opens new window): Iterate over the rows of a DataFrame as (index, Series) pairs. This converts the rows to Series objects, which can change the dtypes and has some performance implications.
- itertuples() (opens new window): Iterate over the rows of a DataFrame as namedtuples of the values. This is a lot faster than iterrows() (opens new window), and is in most cases preferable to use to iterate over the values of a DataFrame.
::: Warning Warning Iterating through pandas objects is generally slow. In many cases, iterating manually over the rows is not needed and can be avoided with one of the following approaches:
- Look for a vectorized solution: many operations can be performed using built-in methods or NumPy functions, (boolean) indexing, …
- When you have a function that cannot work on the full DataFrame/Series at once, it is better to use apply() (opens new window) instead of iterating over the values. See the docs on function application (opens new window).
- If you need to do iterative manipulations on the values but performance is important, consider writing the inner loop with cython or numba. See the enhancing performance (opens new window) section for some examples of this approach. :::
Warning
Warning You should never modify something you are iterating over. This is not guaranteed to work in all cases. Depending on the data types, the iterator returns a copy and not a view, and writing to it will have no effect!
For example, in the following case setting the value has no effect:
In [251]: df = pd.DataFrame({'a': [1, 2, 3], 'b': ['a', 'b', 'c']})
In [252]: for index, row in df.iterrows():
.....: row['a'] = 10
.....:
In [253]: df
Out[253]:
a b
0 1 a
1 2 b
2 3 c
# iteritems
Consistent with the dict-like interface, iteritems() (opens new window) iterates through key-value pairs:
- Series: (index, scalar value) pairs
- DataFrame: (column, Series) pairs
- Panel: (item, DataFrame) pairs
For example:
In [254]: for item, frame in wp.iteritems():
.....: print(item)
.....: print(frame)
.....:
Item1
A B C D
2000-01-01 -1.157892 -1.344312 0.844885 1.075770
2000-01-02 -0.109050 1.643563 -1.469388 0.357021
2000-01-03 -0.674600 -1.776904 -0.968914 -1.294524
2000-01-04 0.413738 0.276662 -0.472035 -0.013960
2000-01-05 -0.362543 -0.006154 -0.923061 0.895717
Item2
A B C D
2000-01-01 0.805244 -1.206412 2.565646 1.431256
2000-01-02 1.340309 -1.170299 -0.226169 0.410835
2000-01-03 0.813850 0.132003 -0.827317 -0.076467
2000-01-04 -1.187678 1.130127 -1.436737 -1.413681
2000-01-05 1.607920 1.024180 0.569605 0.875906
# iterrows
iterrows() (opens new window) allows you to iterate through the rows of a DataFrame as Series objects. It returns an iterator yielding each index value along with a Series containing the data in each row:
In [255]: for row_index, row in df.iterrows():
.....: print(row_index, row, sep='\n')
.....:
0
a 1
b a
Name: 0, dtype: object
1
a 2
b b
Name: 1, dtype: object
2
a 3
b c
Name: 2, dtype: object
Note
Because iterrows() (opens new window) returns a Series for each row, it does not preserve dtypes across the rows (dtypes are preserved across columns for DataFrames). For example,
In [256]: df_orig = pd.DataFrame([[1, 1.5]], columns=['int', 'float'])
In [257]: df_orig.dtypes
Out[257]:
int int64
float float64
dtype: object
In [258]: row = next(df_orig.iterrows())[1]
In [259]: row
Out[259]:
int 1.0
float 1.5
Name: 0, dtype: float64
All values in row
, returned as a Series, are now upcasted to floats, also the original integer value in column x:
In [260]: row['int'].dtype
Out[260]: dtype('float64')
In [261]: df_orig['int'].dtype
Out[261]: dtype('int64')
To preserve dtypes while iterating over the rows, it is better to use itertuples() (opens new window) which returns namedtuples of the values and which is generally much faster than iterrows() (opens new window).
For instance, a contrived way to transpose the DataFrame would be:
In [262]: df2 = pd.DataFrame({'x': [1, 2, 3], 'y': [4, 5, 6]})
In [263]: print(df2)
x y
0 1 4
1 2 5
2 3 6
In [264]: print(df2.T)
0 1 2
x 1 2 3
y 4 5 6
In [265]: df2_t = pd.DataFrame({idx: values for idx, values in df2.iterrows()})
In [266]: print(df2_t)
0 1 2
x 1 2 3
y 4 5 6
# itertuples
The itertuples() (opens new window) method will return an iterator yielding a namedtuple for each row in the DataFrame. The first element of the tuple will be the row’s corresponding index value, while the remaining values are the row values.
For instance:
In [267]: for row in df.itertuples():
.....: print(row)
.....:
Pandas(Index=0, a=1, b='a')
Pandas(Index=1, a=2, b='b')
Pandas(Index=2, a=3, b='c')
This method does not convert the row to a Series object; it merely returns the values inside a namedtuple. Therefore, itertuples() (opens new window) preserves the data type of the values and is generally faster as iterrows() (opens new window).
Note
The column names will be renamed to positional names if they are invalid Python identifiers, repeated, or start with an underscore. With a large number of columns (>255), regular tuples are returned.
# .dt accessor
Series has an accessor to succinctly return datetime like properties for the values of the Series, if it is a datetime/period like Series. This will return a Series, indexed like the existing Series.
# datetime
In [268]: s = pd.Series(pd.date_range('20130101 09:10:12', periods=4))
In [269]: s
Out[269]:
0 2013-01-01 09:10:12
1 2013-01-02 09:10:12
2 2013-01-03 09:10:12
3 2013-01-04 09:10:12
dtype: datetime64[ns]
In [270]: s.dt.hour
Out[270]:
0 9
1 9
2 9
3 9
dtype: int64
In [271]: s.dt.second
Out[271]:
0 12
1 12
2 12
3 12
dtype: int64
In [272]: s.dt.day
Out[272]:
0 1
1 2
2 3
3 4
dtype: int64
This enables nice expressions like this:
In [273]: s[s.dt.day == 2]
Out[273]:
1 2013-01-02 09:10:12
dtype: datetime64[ns]
You can easily produces tz aware transformations:
In [274]: stz = s.dt.tz_localize('US/Eastern')
In [275]: stz
Out[275]:
0 2013-01-01 09:10:12-05:00
1 2013-01-02 09:10:12-05:00
2 2013-01-03 09:10:12-05:00
3 2013-01-04 09:10:12-05:00
dtype: datetime64[ns, US/Eastern]
In [276]: stz.dt.tz
Out[276]: <DstTzInfo 'US/Eastern' LMT-1 day, 19:04:00 STD>
You can also chain these types of operations:
In [277]: s.dt.tz_localize('UTC').dt.tz_convert('US/Eastern')
Out[277]:
0 2013-01-01 04:10:12-05:00
1 2013-01-02 04:10:12-05:00
2 2013-01-03 04:10:12-05:00
3 2013-01-04 04:10:12-05:00
dtype: datetime64[ns, US/Eastern]
You can also format datetime values as strings with Series.dt.strftime() (opens new window) which supports the same format as the standard strftime() (opens new window).
# DatetimeIndex
In [278]: s = pd.Series(pd.date_range('20130101', periods=4))
In [279]: s
Out[279]:
0 2013-01-01
1 2013-01-02
2 2013-01-03
3 2013-01-04
dtype: datetime64[ns]
In [280]: s.dt.strftime('%Y/%m/%d')
Out[280]:
0 2013/01/01
1 2013/01/02
2 2013/01/03
3 2013/01/04
dtype: object
# PeriodIndex
In [281]: s = pd.Series(pd.period_range('20130101', periods=4))
In [282]: s
Out[282]:
0 2013-01-01
1 2013-01-02
2 2013-01-03
3 2013-01-04
dtype: period[D]
In [283]: s.dt.strftime('%Y/%m/%d')
Out[283]:
0 2013/01/01
1 2013/01/02
2 2013/01/03
3 2013/01/04
dtype: object
The .dt
accessor works for period and timedelta dtypes.
# period
In [284]: s = pd.Series(pd.period_range('20130101', periods=4, freq='D'))
In [285]: s
Out[285]:
0 2013-01-01
1 2013-01-02
2 2013-01-03
3 2013-01-04
dtype: period[D]
In [286]: s.dt.year
Out[286]:
0 2013
1 2013
2 2013
3 2013
dtype: int64
In [287]: s.dt.day
Out[287]:
0 1
1 2
2 3
3 4
dtype: int64
# timedelta
In [288]: s = pd.Series(pd.timedelta_range('1 day 00:00:05', periods=4, freq='s'))
In [289]: s
Out[289]:
0 1 days 00:00:05
1 1 days 00:00:06
2 1 days 00:00:07
3 1 days 00:00:08
dtype: timedelta64[ns]
In [290]: s.dt.days
Out[290]:
0 1
1 1
2 1
3 1
dtype: int64
In [291]: s.dt.seconds
Out[291]:
0 5
1 6
2 7
3 8
dtype: int64
In [292]: s.dt.components
Out[292]:
days hours minutes seconds milliseconds microseconds nanoseconds
0 1 0 0 5 0 0 0
1 1 0 0 6 0 0 0
2 1 0 0 7 0 0 0
3 1 0 0 8 0 0 0
Note
Series.dt
will raise a TypeError
if you access with a non-datetime-like values.
# Vectorized string methods
Series is equipped with a set of string processing methods that make it easy to operate on each element of the array. Perhaps most importantly, these methods exclude missing/NA values automatically. These are accessed via the Series’s str attribute and generally have names matching the equivalent (scalar) built-in string methods. For example:
In [293]: s = pd.Series(['A', 'B', 'C', 'Aaba', 'Baca', np.nan, 'CABA', 'dog', 'cat'])
In [294]: s.str.lower()
Out[294]:
0 a
1 b
2 c
3 aaba
4 baca
5 NaN
6 caba
7 dog
8 cat
dtype: object
Powerful pattern-matching methods are provided as well, but note that pattern-matching generally uses regular expressions (opens new window) by default (and in some cases always uses them).
Please see Vectorized String Methods (opens new window) for a complete description.
# Sorting
Pandas supports three kinds of sorting: sorting by index labels, sorting by column values, and sorting by a combination of both.
# By Index
The Series.sort_index() (opens new window) and DataFrame.sort_index() (opens new window) methods are used to sort a pandas object by its index levels.
In [295]: df = pd.DataFrame({
.....: 'one': pd.Series(np.random.randn(3), index=['a', 'b', 'c']),
.....: 'two': pd.Series(np.random.randn(4), index=['a', 'b', 'c', 'd']),
.....: 'three': pd.Series(np.random.randn(3), index=['b', 'c', 'd'])})
.....:
In [296]: unsorted_df = df.reindex(index=['a', 'd', 'c', 'b'],
.....: columns=['three', 'two', 'one'])
.....:
In [297]: unsorted_df
Out[297]:
three two one
a NaN -0.867293 0.050162
d 1.215473 -0.051744 NaN
c -0.421091 -0.712097 0.953102
b 1.205223 0.632624 -1.534113
# DataFrame
In [298]: unsorted_df.sort_index()
Out[298]:
three two one
a NaN -0.867293 0.050162
b 1.205223 0.632624 -1.534113
c -0.421091 -0.712097 0.953102
d 1.215473 -0.051744 NaN
In [299]: unsorted_df.sort_index(ascending=False)
Out[299]:
three two one
d 1.215473 -0.051744 NaN
c -0.421091 -0.712097 0.953102
b 1.205223 0.632624 -1.534113
a NaN -0.867293 0.050162
In [300]: unsorted_df.sort_index(axis=1)
Out[300]:
one three two
a 0.050162 NaN -0.867293
d NaN 1.215473 -0.051744
c 0.953102 -0.421091 -0.712097
b -1.534113 1.205223 0.632624
# Series
In [301]: unsorted_df['three'].sort_index()
Out[301]:
a NaN
b 1.205223
c -0.421091
d 1.215473
Name: three, dtype: float64
# By Values
The Series.sort_values() (opens new window) method is used to sort a Series by its values. The DataFrame.sort_values() (opens new window) method is used to sort a DataFrame by its column or row values. The optional by parameter to DataFrame.sort_values() (opens new window) may used to specify one or more columns to use to determine the sorted order.
In [302]: df1 = pd.DataFrame({'one': [2, 1, 1, 1],
.....: 'two': [1, 3, 2, 4],
.....: 'three': [5, 4, 3, 2]})
.....:
In [303]: df1.sort_values(by='two')
Out[303]:
one two three
0 2 1 5
2 1 2 3
1 1 3 4
3 1 4 2
The by parameter can take a list of column names, e.g.:
In [304]: df1[['one', 'two', 'three']].sort_values(by=['one', 'two'])
Out[304]:
one two three
2 1 2 3
1 1 3 4
3 1 4 2
0 2 1 5
These methods have special treatment of NA values via the na_position
argument:
In [305]: s[2] = np.nan
In [306]: s.sort_values()
Out[306]:
0 A
3 Aaba
1 B
4 Baca
6 CABA
8 cat
7 dog
2 NaN
5 NaN
dtype: object
In [307]: s.sort_values(na_position='first')
Out[307]:
2 NaN
5 NaN
0 A
3 Aaba
1 B
4 Baca
6 CABA
8 cat
7 dog
dtype: object
# By Indexes and Values
New in version 0.23.0.
Strings passed as the by
parameter to DataFrame.sort_values() (opens new window) may refer to either columns or index level names.
# Build MultiIndex
In [308]: idx = pd.MultiIndex.from_tuples([('a', 1), ('a', 2), ('a', 2),
.....: ('b', 2), ('b', 1), ('b', 1)])
.....:
In [309]: idx.names = ['first', 'second']
# Build DataFrame
In [310]: df_multi = pd.DataFrame({'A': np.arange(6, 0, -1)},
.....: index=idx)
.....:
In [311]: df_multi
Out[311]:
A
first second
a 1 6
2 5
2 4
b 2 3
1 2
1 1
Sort by ‘second’ (index) and ‘A’ (column)
In [312]: df_multi.sort_values(by=['second', 'A'])
Out[312]:
A
first second
b 1 1
1 2
a 1 6
b 2 3
a 2 4
2 5
Note
Note If a string matches both a column name and an index level name then a warning is issued and the column takes precedence. This will result in an ambiguity error in a future version.
# searchsorted
Series has the searchsorted() (opens new window) method, which works similarly to numpy.ndarray.searchsorted() (opens new window).
In [313]: ser = pd.Series([1, 2, 3])
In [314]: ser.searchsorted([0, 3])
Out[314]: array([0, 2])
In [315]: ser.searchsorted([0, 4])
Out[315]: array([0, 3])
In [316]: ser.searchsorted([1, 3], side='right')
Out[316]: array([1, 3])
In [317]: ser.searchsorted([1, 3], side='left')
Out[317]: array([0, 2])
In [318]: ser = pd.Series([3, 1, 2])
In [319]: ser.searchsorted([0, 3], sorter=np.argsort(ser))
Out[319]: array([0, 2])
# smallest / largest values
Series
has the nsmallest() (opens new window) and nlargest() (opens new window) methods which return the smallest or largest 𝑛 values. For a large Series this can be much faster than sorting the entire Series and calling head(n)
on the result.
In [320]: s = pd.Series(np.random.permutation(10))
In [321]: s
Out[321]:
0 5
1 3
2 2
3 0
4 7
5 6
6 9
7 1
8 4
9 8
dtype: int64
In [322]: s.sort_values()
Out[322]:
3 0
7 1
2 2
1 3
8 4
0 5
5 6
4 7
9 8
6 9
dtype: int64
In [323]: s.nsmallest(3)
Out[323]:
3 0
7 1
2 2
dtype: int64
In [324]: s.nlargest(3)
Out[324]:
6 9
9 8
4 7
dtype: int64
DataFrame
also has the nlargest
and nsmallest
methods.
In [325]: df = pd.DataFrame({'a': [-2, -1, 1, 10, 8, 11, -1],
.....: 'b': list('abdceff'),
.....: 'c': [1.0, 2.0, 4.0, 3.2, np.nan, 3.0, 4.0]})
.....:
In [326]: df.nlargest(3, 'a')
Out[326]:
a b c
5 11 f 3.0
3 10 c 3.2
4 8 e NaN
In [327]: df.nlargest(5, ['a', 'c'])
Out[327]:
a b c
5 11 f 3.0
3 10 c 3.2
4 8 e NaN
2 1 d 4.0
6 -1 f 4.0
In [328]: df.nsmallest(3, 'a')
Out[328]:
a b c
0 -2 a 1.0
1 -1 b 2.0
6 -1 f 4.0
In [329]: df.nsmallest(5, ['a', 'c'])
Out[329]:
a b c
0 -2 a 1.0
1 -1 b 2.0
6 -1 f 4.0
2 1 d 4.0
4 8 e NaN
# Sorting by a MultiIndex column
You must be explicit about sorting when the column is a MultiIndex, and fully specify all levels to by.
In [330]: df1.columns = pd.MultiIndex.from_tuples([('a', 'one'),
.....: ('a', 'two'),
.....: ('b', 'three')])
.....:
In [331]: df1.sort_values(by=('a', 'two'))
Out[331]:
a b
one two three
0 2 1 5
2 1 2 3
1 1 3 4
3 1 4 2
# Copying
The copy() (opens new window) method on pandas objects copies the underlying data (though not the axis indexes, since they are immutable) and returns a new object. Note that it is seldom necessary to copy objects. For example, there are only a handful of ways to alter a DataFrame in-place:
- Inserting, deleting, or modifying a column.
- Assigning to the
index
orcolumns
attributes. - For homogeneous data, directly modifying the values via the
values
attribute or advanced indexing.
To be clear, no pandas method has the side effect of modifying your data; almost every method returns a new object, leaving the original object untouched. If the data is modified, it is because you did so explicitly.
# dtypes
For the most part, pandas uses NumPy arrays and dtypes for Series or individual columns of a DataFrame. NumPy provides support for float
, int
, bool
, timedelta64[ns]
and datetime64[ns]
(note that NumPy does not support timezone-aware datetimes).
Pandas and third-party libraries extend NumPy’s type system in a few places. This section describes the extensions pandas has made internally. See Extension Types (opens new window) for how to write your own extension that works with pandas. See Extension Data Types (opens new window) for a list of third-party libraries that have implemented an extension.
The following table lists all of pandas extension types. See the respective documentation sections for more on each type.
Kind of Data | Data Type | Scalar | Array | Documentation |
---|---|---|---|---|
tz-aware datetime | DatetimeTZDtype (opens new window) | Timestamp (opens new window) | arrays.DatetimeArray (opens new window) | Time Zone Handling (opens new window) |
Categorical | CategoricalDtype (opens new window) | (none) | Categorical (opens new window) | Categorical Data (opens new window) |
period (time spans) | PeriodDtype (opens new window) | Period (opens new window) | arrays.PeriodArray | Time Span Representation (opens new window) |
sparse | SparseDtype (opens new window) | (none) | arrays.SparseArray | Sparse data structures (opens new window) |
intervals | IntervalDtype (opens new window) | Interval (opens new window) | arrays.IntervalArray (opens new window) | IntervalIndex (opens new window) |
nullable integer | Int64Dtype (opens new window), … | (none) | arrays.IntegerArray (opens new window) | Nullable Integer Data Type (opens new window) |
Pandas uses the object
dtype for storing strings.
Finally, arbitrary objects may be stored using the object
dtype, but should be avoided to the extent possible (for performance and interoperability with other libraries and methods. See object conversion (opens new window)).
A convenient dtypes (opens new window) attribute for DataFrame returns a Series with the data type of each column.
In [332]: dft = pd.DataFrame({'A': np.random.rand(3),
.....: 'B': 1,
.....: 'C': 'foo',
.....: 'D': pd.Timestamp('20010102'),
.....: 'E': pd.Series([1.0] * 3).astype('float32'),
.....: 'F': False,
.....: 'G': pd.Series([1] * 3, dtype='int8')})
.....:
In [333]: dft
Out[333]:
A B C D E F G
0 0.278831 1 foo 2001-01-02 1.0 False 1
1 0.242124 1 foo 2001-01-02 1.0 False 1
2 0.078031 1 foo 2001-01-02 1.0 False 1
In [334]: dft.dtypes
Out[334]:
A float64
B int64
C object
D datetime64[ns]
E float32
F bool
G int8
dtype: object
On a Series
object, use the dtype (opens new window) attribute.
In [335]: dft['A'].dtype
Out[335]: dtype('float64')
If a pandas object contains data with multiple dtypes in a single column, the dtype of the column will be chosen to accommodate all of the data types (object
is the most general).
# these ints are coerced to floats
In [336]: pd.Series([1, 2, 3, 4, 5, 6.])
Out[336]:
0 1.0
1 2.0
2 3.0
3 4.0
4 5.0
5 6.0
dtype: float64
# string data forces an ``object`` dtype
In [337]: pd.Series([1, 2, 3, 6., 'foo'])
Out[337]:
0 1
1 2
2 3
3 6
4 foo
dtype: object
The number of columns of each type in a DataFrame
can be found by calling get_dtype_counts() (opens new window).
In [338]: dft.get_dtype_counts()
Out[338]:
float64 1
float32 1
int64 1
int8 1
datetime64[ns] 1
bool 1
object 1
dtype: int64
Numeric dtypes will propagate and can coexist in DataFrames. If a dtype is passed (either directly via the dtype
keyword, a passed ndarray
, or a passed Series
, then it will be preserved in DataFrame operations. Furthermore, different numeric dtypes will NOT be combined. The following example will give you a taste.
Frame(np.random.randn(8, 1), columns=['A'], dtype='float32')
In [340]: df1
Out[340]:
A
0 -1.641339
1 -0.314062
2 -0.679206
3 1.178243
4 0.181790
5 -2.044248
6 1.151282
7 -1.641398
In [341]: df1.dtypes
Out[341]:
A float32
dtype: object
In [342]: df2 = pd.DataFrame({'A': pd.Series(np.random.randn(8), dtype='float16'),
.....: 'B': pd.Series(np.random.randn(8)),
.....: 'C': pd.Series(np.array(np.random.randn(8),
.....: dtype='uint8'))})
.....:
In [343]: df2
Out[343]:
A B C
0 0.130737 -1.143729 1
1 0.289551 2.787500 0
2 0.590820 -0.708143 254
3 -0.020142 -1.512388 0
4 -1.048828 -0.243145 1
5 -0.808105 -0.650992 0
6 1.373047 2.090108 0
7 -0.254395 0.433098 0
In [344]: df2.dtypes
Out[344]:
A float16
B float64
C uint8
dtype: object
# defaults
By default integer types are int64
and float types are float64
, regardless of platform (32-bit or 64-bit). The following will all result in int64
dtypes.
In [345]: pd.DataFrame([1, 2], columns=['a']).dtypes
Out[345]:
a int64
dtype: object
In [346]: pd.DataFrame({'a': [1, 2]}).dtypes
Out[346]:
a int64
dtype: object
In [347]: pd.DataFrame({'a': 1}, index=list(range(2))).dtypes
Out[347]:
a int64
dtype: object
Note that Numpy will choose platform-dependent types when creating arrays. The following WILL result in int32
on 32-bit platform.
In [348]: frame = pd.DataFrame(np.array([1, 2]))
# upcasting
Types can potentially be upcasted when combined with other types, meaning they are promoted from the current type (e.g. int
to float
).
In [349]: df3 = df1.reindex_like(df2).fillna(value=0.0) + df2
In [350]: df3
Out[350]:
A B C
0 -1.510602 -1.143729 1.0
1 -0.024511 2.787500 0.0
2 -0.088385 -0.708143 254.0
3 1.158101 -1.512388 0.0
4 -0.867039 -0.243145 1.0
5 -2.852354 -0.650992 0.0
6 2.524329 2.090108 0.0
7 -1.895793 0.433098 0.0
In [351]: df3.dtypes
Out[351]:
A float32
B float64
C float64
dtype: object
DataFrame.to_numpy() (opens new window) will return the lower-common-denominator of the dtypes, meaning the dtype that can accommodate ALL of the types in the resulting homogeneous dtyped NumPy array. This can force some upcasting.
In [352]: df3.to_numpy().dtype
Out[352]: dtype('float64')
# astype
You can use the astype() (opens new window) method to explicitly convert dtypes from one to another. These will by default return a copy, even if the dtype was unchanged (pass copy=False
to change this behavior). In addition, they will raise an exception if the astype operation is invalid.
Upcasting is always according to the numpy rules. If two different dtypes are involved in an operation, then the more general one will be used as the result of the operation.
In [353]: df3
Out[353]:
A B C
0 -1.510602 -1.143729 1.0
1 -0.024511 2.787500 0.0
2 -0.088385 -0.708143 254.0
3 1.158101 -1.512388 0.0
4 -0.867039 -0.243145 1.0
5 -2.852354 -0.650992 0.0
6 2.524329 2.090108 0.0
7 -1.895793 0.433098 0.0
In [354]: df3.dtypes
Out[354]:
A float32
B float64
C float64
dtype: object
# conversion of dtypes
In [355]: df3.astype('float32').dtypes
Out[355]:
A float32
B float32
C float32
dtype: object
Convert a subset of columns to a specified type using astype() (opens new window).
In [356]: dft = pd.DataFrame({'a': [1, 2, 3], 'b': [4, 5, 6], 'c': [7, 8, 9]})
In [357]: dft[['a', 'b']] = dft[['a', 'b']].astype(np.uint8)
In [358]: dft
Out[358]:
a b c
0 1 4 7
1 2 5 8
2 3 6 9
In [359]: dft.dtypes
Out[359]:
a uint8
b uint8
c int64
dtype: object
New in version 0.19.0.
Convert certain columns to a specific dtype by passing a dict to astype() (opens new window).
In [360]: dft1 = pd.DataFrame({'a': [1, 0, 1], 'b': [4, 5, 6], 'c': [7, 8, 9]})
In [361]: dft1 = dft1.astype({'a': np.bool, 'c': np.float64})
In [362]: dft1
Out[362]:
a b c
0 True 4 7.0
1 False 5 8.0
2 True 6 9.0
In [363]: dft1.dtypes
Out[363]:
a bool
b int64
c float64
dtype: object
Note
When trying to convert a subset of columns to a specified type using astype() (opens new window) and loc() (opens new window), upcasting occurs.
loc() (opens new window) tries to fit in what we are assigning to the current dtypes, while []
will overwrite them taking the dtype from the right hand side. Therefore the following piece of code produces the unintended result.
In [364]: dft = pd.DataFrame({'a': [1, 2, 3], 'b': [4, 5, 6], 'c': [7, 8, 9]})
In [365]: dft.loc[:, ['a', 'b']].astype(np.uint8).dtypes
Out[365]:
a uint8
b uint8
dtype: object
In [366]: dft.loc[:, ['a', 'b']] = dft.loc[:, ['a', 'b']].astype(np.uint8)
In [367]: dft.dtypes
Out[367]:
a int64
b int64
c int64
dtype: object
# object conversion
pandas offers various functions to try to force conversion of types from the object
dtype to other types. In cases where the data is already of the correct type, but stored in an object array, the DataFrame.infer_objects() (opens new window) and Series.infer_objects() (opens new window) methods can be used to soft convert to the correct type.
In [368]: import datetime
In [369]: df = pd.DataFrame([[1, 2],
.....: ['a', 'b'],
.....: [datetime.datetime(2016, 3, 2),
.....: datetime.datetime(2016, 3, 2)]])
.....:
In [370]: df = df.T
In [371]: df
Out[371]:
0 1 2
0 1 a 2016-03-02 00:00:00
1 2 b 2016-03-02 00:00:00
In [372]: df.dtypes
Out[372]:
0 object
1 object
2 object
dtype: object
Because the data was transposed the original inference stored all columns as object, which infer_objects
will correct.
In [373]: df.infer_objects().dtypes
Out[373]:
0 int64
1 object
2 datetime64[ns]
dtype: object
The following functions are available for one dimensional object arrays or scalars to perform hard conversion of objects to a specified type:
to_numeric() (opens new window) (conversion to numeric dtypes)
In [374]: m = ['1.1', 2, 3] In [375]: pd.to_numeric(m) Out[375]: array([ 1.1, 2. , 3. ])
to_datetime() (opens new window) (conversion to datetime objects)
In [376]: import datetime In [377]: m = ['2016-07-09', datetime.datetime(2016, 3, 2)] In [378]: pd.to_datetime(m) Out[378]: DatetimeIndex(['2016-07-09', '2016-03-02'], dtype='datetime64[ns]', freq=None)
to_timedelta() (opens new window) (conversion to timedelta objects)
In [379]: m = ['5us', pd.Timedelta('1day')] In [380]: pd.to_timedelta(m) Out[380]: TimedeltaIndex(['0 days 00:00:00.000005', '1 days 00:00:00'], dtype='timedelta64[ns]', freq=None)
To force a conversion, we can pass in an errors
argument, which specifies how pandas should deal with elements that cannot be converted to desired dtype or object. By default, errors='raise'
, meaning that any errors encountered will be raised during the conversion process. However, if errors='coerce'
, these errors will be ignored and pandas will convert problematic elements to pd.NaT
(for datetime and timedelta) or np.nan
(for numeric). This might be useful if you are reading in data which is mostly of the desired dtype (e.g. numeric, datetime), but occasionally has non-conforming elements intermixed that you want to represent as missing:
In [381]: import datetime
In [382]: m = ['apple', datetime.datetime(2016, 3, 2)]
In [383]: pd.to_datetime(m, errors='coerce')
Out[383]: DatetimeIndex(['NaT', '2016-03-02'], dtype='datetime64[ns]', freq=None)
In [384]: m = ['apple', 2, 3]
In [385]: pd.to_numeric(m, errors='coerce')
Out[385]: array([ nan, 2., 3.])
In [386]: m = ['apple', pd.Timedelta('1day')]
In [387]: pd.to_timedelta(m, errors='coerce')
Out[387]: TimedeltaIndex([NaT, '1 days'], dtype='timedelta64[ns]', freq=None)
The errors
parameter has a third option of errors='ignore'
, which will simply return the passed in data if it encounters any errors with the conversion to a desired data type:
In [388]: import datetime
In [389]: m = ['apple', datetime.datetime(2016, 3, 2)]
In [390]: pd.to_datetime(m, errors='ignore')
Out[390]: Index(['apple', 2016-03-02 00:00:00], dtype='object')
In [391]: m = ['apple', 2, 3]
In [392]: pd.to_numeric(m, errors='ignore')
Out[392]: array(['apple', 2, 3], dtype=object)
In [393]: m = ['apple', pd.Timedelta('1day')]
In [394]: pd.to_timedelta(m, errors='ignore')
Out[394]: array(['apple', Timedelta('1 days 00:00:00')], dtype=object)
In addition to object conversion, to_numeric() (opens new window) provides another argument downcast
, which gives the option of downcasting the newly (or already) numeric data to a smaller dtype, which can conserve memory:
In [395]: m = ['1', 2, 3]
In [396]: pd.to_numeric(m, downcast='integer') # smallest signed int dtype
Out[396]: array([1, 2, 3], dtype=int8)
In [397]: pd.to_numeric(m, downcast='signed') # same as 'integer'
Out[397]: array([1, 2, 3], dtype=int8)
In [398]: pd.to_numeric(m, downcast='unsigned') # smallest unsigned int dtype
Out[398]: array([1, 2, 3], dtype=uint8)
In [399]: pd.to_numeric(m, downcast='float') # smallest float dtype
Out[399]: array([ 1., 2., 3.], dtype=float32)
As these methods apply only to one-dimensional arrays, lists or scalars; they cannot be used directly on multi-dimensional objects such as DataFrames. However, with apply() (opens new window), we can “apply” the function over each column efficiently:
In [400]: import datetime
In [401]: df = pd.DataFrame([
.....: ['2016-07-09', datetime.datetime(2016, 3, 2)]] * 2, dtype='O')
.....:
In [402]: df
Out[402]:
0 1
0 2016-07-09 2016-03-02 00:00:00
1 2016-07-09 2016-03-02 00:00:00
In [403]: df.apply(pd.to_datetime)
Out[403]:
0 1
0 2016-07-09 2016-03-02
1 2016-07-09 2016-03-02
In [404]: df = pd.DataFrame([['1.1', 2, 3]] * 2, dtype='O')
In [405]: df
Out[405]:
0 1 2
0 1.1 2 3
1 1.1 2 3
In [406]: df.apply(pd.to_numeric)
Out[406]:
0 1 2
0 1.1 2 3
1 1.1 2 3
In [407]: df = pd.DataFrame([['5us', pd.Timedelta('1day')]] * 2, dtype='O')
In [408]: df
Out[408]:
0 1
0 5us 1 days 00:00:00
1 5us 1 days 00:00:00
In [409]: df.apply(pd.to_timedelta)
Out[409]:
0 1
0 00:00:00.000005 1 days
1 00:00:00.000005 1 days
# gotchas
Performing selection operations on integer
type data can easily upcast the data to floating
. The dtype of the input data will be preserved in cases where nans
are not introduced. See also Support for integer NA (opens new window).
In [410]: dfi = df3.astype('int32')
In [411]: dfi['E'] = 1
In [412]: dfi
Out[412]:
A B C E
0 -1 -1 1 1
1 0 2 0 1
2 0 0 254 1
3 1 -1 0 1
4 0 0 1 1
5 -2 0 0 1
6 2 2 0 1
7 -1 0 0 1
In [413]: dfi.dtypes
Out[413]:
A int32
B int32
C int32
E int64
dtype: object
In [414]: casted = dfi[dfi > 0]
In [415]: casted
Out[415]:
A B C E
0 NaN NaN 1.0 1
1 NaN 2.0 NaN 1
2 NaN NaN 254.0 1
3 1.0 NaN NaN 1
4 NaN NaN 1.0 1
5 NaN NaN NaN 1
6 2.0 2.0 NaN 1
7 NaN NaN NaN 1
In [416]: casted.dtypes
Out[416]:
A float64
B float64
C float64
E int64
dtype: object
While float dtypes are unchanged.
In [417]: dfa = df3.copy()
In [418]: dfa['A'] = dfa['A'].astype('float32')
In [419]: dfa.dtypes
Out[419]:
A float32
B float64
C float64
dtype: object
In [420]: casted = dfa[df2 > 0]
In [421]: casted
Out[421]:
A B C
0 -1.510602 NaN 1.0
1 -0.024511 2.787500 NaN
2 -0.088385 NaN 254.0
3 NaN NaN NaN
4 NaN NaN 1.0
5 NaN NaN NaN
6 2.524329 2.090108 NaN
7 NaN 0.433098 NaN
In [422]: casted.dtypes
Out[422]:
A float32
B float64
C float64
dtype: object
# Selecting columns based on dtype
The select_dtypes() (opens new window) method implements subsetting of columns based on their dtype.
First, let’s create a DataFrame (opens new window) with a slew of different dtypes:
In [423]: df = pd.DataFrame({'string': list('abc'),
.....: 'int64': list(range(1, 4)),
.....: 'uint8': np.arange(3, 6).astype('u1'),
.....: 'float64': np.arange(4.0, 7.0),
.....: 'bool1': [True, False, True],
.....: 'bool2': [False, True, False],
.....: 'dates': pd.date_range('now', periods=3),
.....: 'category': pd.Series(list("ABC")).astype('category')})
.....:
In [424]: df['tdeltas'] = df.dates.diff()
In [425]: df['uint64'] = np.arange(3, 6).astype('u8')
In [426]: df['other_dates'] = pd.date_range('20130101', periods=3)
In [427]: df['tz_aware_dates'] = pd.date_range('20130101', periods=3, tz='US/Eastern')
In [428]: df
Out[428]:
string int64 uint8 float64 bool1 bool2 dates category tdeltas uint64 other_dates tz_aware_dates
0 a 1 3 4.0 True False 2019-03-12 22:38:38.692567 A NaT 3 2013-01-01 2013-01-01 00:00:00-05:00
1 b 2 4 5.0 False True 2019-03-13 22:38:38.692567 B 1 days 4 2013-01-02 2013-01-02 00:00:00-05:00
2 c 3 5 6.0 True False 2019-03-14 22:38:38.692567 C 1 days 5 2013-01-03 2013-01-03 00:00:00-05:00
And the dtypes:
In [429]: df.dtypes
Out[429]:
string object
int64 int64
uint8 uint8
float64 float64
bool1 bool
bool2 bool
dates datetime64[ns]
category category
tdeltas timedelta64[ns]
uint64 uint64
other_dates datetime64[ns]
tz_aware_dates datetime64[ns, US/Eastern]
dtype: object
select_dtypes() (opens new window) has two parameters include
and exclude
that allow you to say “give me the columns with these dtypes” (include
) and/or “give the columns without these dtypes” (exclude
).
For example, to select bool columns:
In [430]: df.select_dtypes(include=[bool])
Out[430]:
bool1 bool2
0 True False
1 False True
2 True False
You can also pass the name of a dtype in the NumPy dtype hierarchy (opens new window):
In [431]: df.select_dtypes(include=['bool'])
Out[431]:
bool1 bool2
0 True False
1 False True
2 True False
select_dtypes() (opens new window) also works with generic dtypes as well.
For example, to select all numeric and boolean columns while excluding unsigned integers:
In [432]: df.select_dtypes(include=['number', 'bool'], exclude=['unsignedinteger'])
Out[432]:
int64 float64 bool1 bool2 tdeltas
0 1 4.0 True False NaT
1 2 5.0 False True 1 days
2 3 6.0 True False 1 days
To select string columns you must use the object dtype:
In [433]: df.select_dtypes(include=['object'])
Out[433]:
string
0 a
1 b
2 c
To see all the child dtypes of a generic dtype
like numpy.number
you can define a function that returns a tree of child dtypes:
In [434]: def subdtypes(dtype):
.....: subs = dtype.__subclasses__()
.....: if not subs:
.....: return dtype
.....: return [dtype, [subdtypes(dt) for dt in subs]]
.....:
All NumPy dtypes are subclasses of numpy.generic
:
In [435]: subdtypes(np.generic)
Out[435]:
[numpy.generic,
[[numpy.number,
[[numpy.integer,
[[numpy.signedinteger,
[numpy.int8,
numpy.int16,
numpy.int32,
numpy.int64,
numpy.int64,
numpy.timedelta64]],
[numpy.unsignedinteger,
[numpy.uint8,
numpy.uint16,
numpy.uint32,
numpy.uint64,
numpy.uint64]]]],
[numpy.inexact,
[[numpy.floating,
[numpy.float16, numpy.float32, numpy.float64, numpy.float128]],
[numpy.complexfloating,
[numpy.complex64, numpy.complex128, numpy.complex256]]]]]],
[numpy.flexible,
[[numpy.character, [numpy.bytes_, numpy.str_]],
[numpy.void, [numpy.record]]]],
numpy.bool_,
numpy.datetime64,
numpy.object_]]
Note
Pandas also defines the types category
, and datetime64[ns, tz]
, which are not integrated into the normal NumPy hierarchy and won’t show up with the above function.