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.. currentmodule:: pandas

Intro to Data Structures

We'll start with a quick, non-comprehensive overview of the fundamental data structures in pandas to get you started. The fundamental behavior about data types, indexing, and axis labeling / alignment apply across all of the objects. To get started, import numpy and load pandas into your namespace:

.. ipython:: python
   :suppress:

   import numpy as np
   from pandas import *
   randn = np.random.randn
   np.set_printoptions(precision=4, suppress=True)
   set_printoptions(precision=4, max_columns=8)

.. ipython:: python

   import numpy as np
   # will use a lot in examples
   randn = np.random.randn
   from pandas import *

Here is a basic tenet to keep in mind: data alignment is intrinsic. The link between labels and data will not be broken unless done so explicitly by you.

We'll give a brief intro to the data structures, then consider all of the broad categories of functionality and methods in separate sections.

When using pandas, we recommend the following import convention:

import pandas as pd

Series

:class:`Series` is a one-dimensional labeled array (technically a subclass of ndarray) capable of holding any data type (integers, strings, floating point numbers, Python objects, etc.). The axis labels are collectively referred to as the index. The basic method to create a Series is to call:

>>> s = Series(data, index=index)

Here, data can be many different things:

  • a Python dict
  • an ndarray
  • a scalar value (like 5)

The passed index is a list of axis labels. Thus, this separates into a few cases depending on what data is:

From ndarray

If data is an ndarray, index must be the same length as data. If no index is passed, one will be created having values [0, ..., len(data) - 1].

.. ipython:: python

   s = Series(randn(5), index=['a', 'b', 'c', 'd', 'e'])
   s
   s.index

   Series(randn(5))

Note

Starting in v0.8.0, pandas supports non-unique index values. In previous version, if the index values are not unique an exception will not be raised immediately, but attempting any operation involving the index will later result in an exception. In other words, the Index object containing the labels "lazily" checks whether the values are unique. The reason for being lazy is nearly all performance-based (there are many instances in computations, like parts of GroupBy, where the index is not used).

From dict

If data is a dict, if index is passed the values in data corresponding to the labels in the index will be pulled out. Otherwise, an index will be constructed from the sorted keys of the dict, if possible.

.. ipython:: python

   d = {'a' : 0., 'b' : 1., 'c' : 2.}
   Series(d)
   Series(d, index=['b', 'c', 'd', 'a'])

Note

NaN (not a number) is the standard missing data marker used in pandas

From scalar value If data is a scalar value, an index must be provided. The value will be repeated to match the length of index

.. ipython:: python

   Series(5., index=['a', 'b', 'c', 'd', 'e'])

Series is ndarray-like

As a subclass of ndarray, Series is a valid argument to most NumPy functions and behaves similarly to a NumPy array. However, things like slicing also slice the index.

.. ipython :: python

    s[0]
    s[:3]
    s[s > s.median()]
    s[[4, 3, 1]]
    np.exp(s)

We will address array-based indexing in a separate :ref:`section <indexing>`.

Series is dict-like

A Series is alike a fixed-size dict in that you can get and set values by index label:

.. ipython :: python

    s['a']
    s['e'] = 12.
    s
    'e' in s
    'f' in s

If a label is not contained, an exception is raised:

>>> s['f']
KeyError: 'f'

Using the get method, a missing label will return None or specified default:

.. ipython:: python

   s.get('f')

   s.get('f', np.nan)

Vectorized operations and label alignment with Series

When doing data analysis, as with raw NumPy arrays looping through Series value-by-value is usually not necessary. Series can be also be passed into most NumPy methods expecting an ndarray.

.. ipython:: python

    s + s
    s * 2
    np.exp(s)

A key difference between Series and ndarray is that operations between Series automatically align the data based on label. Thus, you can write computations without giving consideration to whether the Series involved have the same labels.

.. ipython:: python

    s[1:] + s[:-1]

The result of an operation between unaligned Series will have the union of the indexes involved. If a label is not found in one Series or the other, the result will be marked as missing (NaN). Being able to write code without doing any explicit data alignment grants immense freedom and flexibility in interactive data analysis and research. The integrated data alignment features of the pandas data structures set pandas apart from the majority of related tools for working with labeled data.

Note

In general, we chose to make the default result of operations between differently indexed objects yield the union of the indexes in order to avoid loss of information. Having an index label, though the data is missing, is typically important information as part of a computation. You of course have the option of dropping labels with missing data via the dropna function.

Name attribute

Series can also have a name attribute:

.. ipython:: python

   s = Series(np.random.randn(5), name='something')
   s
   s.name

The Series name will be assigned automatically in many cases, in particular when taking 1D slices of DataFrame as you will see below.

DataFrame

DataFrame is a 2-dimensional labeled data structure with columns of potentially different types. You can think of it like a spreadsheet or SQL table, or a dict of Series objects. It is generally the most commonly used pandas object. Like Series, DataFrame accepts many different kinds of input:

  • Dict of 1D ndarrays, lists, dicts, or Series
  • 2-D numpy.ndarray
  • Structured or record ndarray
  • A Series
  • Another DataFrame

Along with the data, you can optionally pass index (row labels) and columns (column labels) arguments. If you pass an index and / or columns, you are guaranteeing the index and / or columns of the resulting DataFrame. Thus, a dict of Series plus a specific index will discard all data not matching up to the passed index.

If axis labels are not passed, they will be constructed from the input data based on common sense rules.

From dict of Series or dicts

The result index will be the union of the indexes of the various Series. If there are any nested dicts, these will be first converted to Series. If no columns are passed, the columns will be the sorted list of dict keys.

.. ipython:: python

    d = {'one' : Series([1., 2., 3.], index=['a', 'b', 'c']),
         'two' : Series([1., 2., 3., 4.], index=['a', 'b', 'c', 'd'])}
    df = DataFrame(d)
    df

    DataFrame(d, index=['d', 'b', 'a'])
    DataFrame(d, index=['d', 'b', 'a'], columns=['two', 'three'])

The row and column labels can be accessed respectively by accessing the index and columns attributes:

Note

When a particular set of columns is passed along with a dict of data, the passed columns override the keys in the dict.

.. ipython:: python

   df.index
   df.columns

From dict of ndarrays / lists

The ndarrays must all be the same length. If an index is passed, it must clearly also be the same length as the arrays. If no index is passed, the result will be range(n), where n is the array length.

.. ipython:: python

   d = {'one' : [1., 2., 3., 4.],
        'two' : [4., 3., 2., 1.]}
   DataFrame(d)
   DataFrame(d, index=['a', 'b', 'c', 'd'])

From structured or record array

This case is handled identically to a dict of arrays.

.. ipython:: python

   data = np.zeros((2,),dtype=[('A', 'i4'),('B', 'f4'),('C', 'a10')])
   data[:] = [(1,2.,'Hello'),(2,3.,"World")]

   DataFrame(data)
   DataFrame(data, index=['first', 'second'])
   DataFrame(data, columns=['C', 'A', 'B'])

Note

DataFrame is not intended to work exactly like a 2-dimensional NumPy ndarray.

From a list of dicts

.. ipython:: python

   data2 = [{'a': 1, 'b': 2}, {'a': 5, 'b': 10, 'c': 20}]
   DataFrame(data2)
   DataFrame(data2, index=['first', 'second'])
   DataFrame(data2, columns=['a', 'b'])

From a Series

The result will be a DataFrame with the same index as the input Series, and with one column whose name is the original name of the Series (only if no other column name provided).

Missing Data

Much more will be said on this topic in the :ref:`Missing data <missing_data>` section. To construct a DataFrame with missing data, use np.nan for those values which are missing. Alternatively, you may pass a numpy.MaskedArray as the data argument to the DataFrame constructor, and its masked entries will be considered missing.

Alternate Constructors

DataFrame.from_dict

DataFrame.from_dict takes a dict of dicts or a dict of array-like sequences and returns a DataFrame. It operates like the DataFrame constructor except for the orient parameter which is 'columns' by default, but which can be set to 'index' in order to use the dict keys as row labels.

DataFrame.from_records

DataFrame.from_records takes a list of tuples or an ndarray with structured dtype. Works analogously to the normal DataFrame constructor, except that index maybe be a specific field of the structured dtype to use as the index. For example:

.. ipython:: python

   data
   DataFrame.from_records(data, index='C')

DataFrame.from_items

DataFrame.from_items works analogously to the form of the dict constructor that takes a sequence of (key, value) pairs, where the keys are column (or row, in the case of orient='index') names, and the value are the column values (or row values). This can be useful for constructing a DataFrame with the columns in a particular order without having to pass an explicit list of columns:

.. ipython:: python

   DataFrame.from_items([('A', [1, 2, 3]), ('B', [4, 5, 6])])

If you pass orient='index', the keys will be the row labels. But in this case you must also pass the desired column names:

.. ipython:: python

   DataFrame.from_items([('A', [1, 2, 3]), ('B', [4, 5, 6])],
                        orient='index', columns=['one', 'two', 'three'])

Column selection, addition, deletion

You can treat a DataFrame semantically like a dict of like-indexed Series objects. Getting, setting, and deleting columns works with the same syntax as the analogous dict operations:

.. ipython:: python

   df['one']
   df['three'] = df['one'] * df['two']
   df['flag'] = df['one'] > 2
   df

Columns can be deleted or popped like with a dict:

.. ipython:: python

   del df['two']
   three = df.pop('three')
   df

When inserting a scalar value, it will naturally be propagated to fill the column:

.. ipython:: python

   df['foo'] = 'bar'
   df

When inserting a Series that does not have the same index as the DataFrame, it will be conformed to the DataFrame's index:

.. ipython:: python

   df['one_trunc'] = df['one'][:2]
   df

You can insert raw ndarrays but their length must match the length of the DataFrame's index.

By default, columns get inserted at the end. The insert function is available to insert at a particular location in the columns:

.. ipython:: python

   df.insert(1, 'bar', df['one'])
   df

Indexing / Selection

The basics of indexing are as follows:

Operation Syntax Result
Select column df[col] Series
Select row by label df.xs(label) or df.ix[label] Series
Select row by location (int) df.ix[loc] Series
Slice rows df[5:10] DataFrame
Select rows by boolean vector df[bool_vec] DataFrame

Row selection, for example, returns a Series whose index is the columns of the DataFrame:

.. ipython:: python

   df.xs('b')
   df.ix[2]

Note if a DataFrame contains columns of multiple dtypes, the dtype of the row will be chosen to accommodate all of the data types (dtype=object is the most general).

For a more exhaustive treatment of more sophisticated label-based indexing and slicing, see the :ref:`section on indexing <indexing>`. We will address the fundamentals of reindexing / conforming to new sets of lables in the :ref:`section on reindexing <basics.reindexing>`.

Data alignment and arithmetic

Data alignment between DataFrame objects automatically align on both the columns and the index (row labels). Again, the resulting object will have the union of the column and row labels.

.. ipython:: python

    df = DataFrame(randn(10, 4), columns=['A', 'B', 'C', 'D'])
    df2 = DataFrame(randn(7, 3), columns=['A', 'B', 'C'])
    df + df2

When doing an operation between DataFrame and Series, the default behavior is to align the Series index on the DataFrame columns, thus broadcasting row-wise. For example:

.. ipython:: python

   df - df.ix[0]

In the special case of working with time series data, if the Series is a TimeSeries (which it will be automatically if the index contains datetime objects), and the DataFrame index also contains dates, the broadcasting will be column-wise:

.. ipython:: python

   index = date_range('1/1/2000', periods=8)
   df = DataFrame(randn(8, 3), index=index,
                  columns=['A', 'B', 'C'])
   df
   type(df['A'])
   df - df['A']

Technical purity aside, this case is so common in practice that supporting the special case is preferable to the alternative of forcing the user to transpose and do column-based alignment like so:

.. ipython:: python

   (df.T - df['A']).T

For explicit control over the matching and broadcasting behavior, see the section on :ref:`flexible binary operations <basics.binop>`.

Operations with scalars are just as you would expect:

.. ipython:: python

   df * 5 + 2
   1 / df
   df ** 4

Boolean operators work as well:

.. ipython:: python

   df1 = DataFrame({'a' : [1, 0, 1], 'b' : [0, 1, 1] }, dtype=bool)
   df2 = DataFrame({'a' : [0, 1, 1], 'b' : [1, 1, 0] }, dtype=bool)
   df1 & df2
   df1 | df2
   df1 ^ df2
   -df1

Transposing

To transpose, access the T attribute (also the transpose function), similar to an ndarray:

.. ipython:: python

   # only show the first 5 rows
   df[:5].T

DataFrame interoperability with NumPy functions

Elementwise NumPy ufuncs (log, exp, sqrt, ...) and various other NumPy functions can be used with no issues on DataFrame, assuming the data within are numeric:

.. ipython:: python

   np.exp(df)
   np.asarray(df)

The dot method on DataFrame implements matrix multiplication:

.. ipython:: python

   df.T.dot(df)

Similarly, the dot method on Series implements dot product:

.. ipython:: python

   s1 = Series(np.arange(5,10))
   s1.dot(s1)

DataFrame is not intended to be a drop-in replacement for ndarray as its indexing semantics are quite different in places from a matrix.

Console display

For very large DataFrame objects, only a summary will be printed to the console (here I am reading a CSV version of the baseball dataset from the plyr R package):

.. ipython:: python
   :suppress:

   # force a summary to be printed
   set_printoptions(max_rows=5)

.. ipython:: python

   baseball = read_csv('data/baseball.csv')
   print baseball

.. ipython:: python
   :suppress:

   # restore GlobalPrintConfig
   reset_printoptions()

However, using to_string will return a string representation of the DataFrame in tabular form, though it won't always fit the console width:

.. ipython:: python

   print baseball.ix[-20:, :12].to_string()

DataFrame column types

The four main types stored in pandas objects are float, int, boolean, and object. A convenient dtypes attribute return a Series with the data type of each column:

.. ipython:: python

   baseball.dtypes

The related method get_dtype_counts will return the number of columns of each type:

.. ipython:: python

   baseball.get_dtype_counts()

DataFrame column attribute access and IPython completion

If a DataFrame column label is a valid Python variable name, the column can be accessed like attributes:

.. ipython:: python

   df = DataFrame({'foo1' : np.random.randn(5),
                   'foo2' : np.random.randn(5)})
   df
   df.foo1

The columns are also connected to the IPython completion mechanism so they can be tab-completed:

In [5]: df.fo<TAB>
df.foo1  df.foo2

Panel

Panel is a somewhat less-used, but still important container for 3-dimensional data. The term panel data is derived from econometrics and is partially responsible for the name pandas: pan(el)-da(ta)-s. The names for the 3 axes are intended to give some semantic meaning to describing operations involving panel data and, in particular, econometric analysis of panel data. However, for the strict purposes of slicing and dicing a collection of DataFrame objects, you may find the axis names slightly arbitrary:

  • items: axis 0, each item corresponds to a DataFrame contained inside
  • major_axis: axis 1, it is the index (rows) of each of the DataFrames
  • minor_axis: axis 2, it is the columns of each of the DataFrames

Construction of Panels works about like you would expect:

From 3D ndarray with optional axis labels

.. ipython:: python

   wp = Panel(randn(2, 5, 4), items=['Item1', 'Item2'],
              major_axis=date_range('1/1/2000', periods=5),
              minor_axis=['A', 'B', 'C', 'D'])
   wp


From dict of DataFrame objects

.. ipython:: python

   data = {'Item1' : DataFrame(randn(4, 3)),
           'Item2' : DataFrame(randn(4, 2))}
   Panel(data)

Note that the values in the dict need only be convertible to DataFrame. Thus, they can be any of the other valid inputs to DataFrame as per above.

One helpful factory method is Panel.from_dict, which takes a dictionary of DataFrames as above, and the following named parameters:

Parameter Default Description
intersect False drops elements whose indices do not align
orient items use minor to use DataFrames' columns as panel items

For example, compare to the construction above:

.. ipython:: python

   Panel.from_dict(data, orient='minor')

Orient is especially useful for mixed-type DataFrames. If you pass a dict of DataFrame objects with mixed-type columns, all of the data will get upcasted to dtype=object unless you pass orient='minor':

.. ipython:: python

   df = DataFrame({'a': ['foo', 'bar', 'baz'],
                   'b': np.random.randn(3)})
   df
   data = {'item1': df, 'item2': df}
   panel = Panel.from_dict(data, orient='minor')
   panel['a']
   panel['b']
   panel['b'].dtypes

Note

Unfortunately Panel, being less commonly used than Series and DataFrame, has been slightly neglected feature-wise. A number of methods and options available in DataFrame are not available in Panel. This will get worked on, of course, in future releases. And faster if you join me in working on the codebase.

From DataFrame using to_panel method

This method was introduced in v0.7 to replace LongPanel.to_long, and converts a DataFrame with a two-level index to a Panel.

.. ipython:: python

   midx = MultiIndex(levels=[['one', 'two'], ['x','y']], labels=[[1,1,0,0],[1,0,1,0]])
   df = DataFrame({'A' : [1, 2, 3, 4], 'B': [5, 6, 7, 8]}, index=midx)
   df.to_panel()

Item selection / addition / deletion

Similar to DataFrame functioning as a dict of Series, Panel is like a dict of DataFrames:

.. ipython:: python

   wp['Item1']
   wp['Item3'] = wp['Item1'] / wp['Item2']

The API for insertion and deletion is the same as for DataFrame. And as with DataFrame, if the item is a valid python identifier, you can access it as an attribute and tab-complete it in IPython.

Transposing

A Panel can be rearranged using its transpose method (which does not make a copy by default unless the data are heterogeneous):

.. ipython:: python

   wp.transpose(2, 0, 1)

Indexing / Selection

Operation Syntax Result
Select item wp[item] DataFrame
Get slice at major_axis label wp.major_xs(val) DataFrame
Get slice at minor_axis label wp.minor_xs(val) DataFrame

For example, using the earlier example data, we could do:

.. ipython:: python

    wp['Item1']
    wp.major_xs(wp.major_axis[2])
    wp.minor_axis
    wp.minor_xs('C')

Conversion to DataFrame

A Panel can be represented in 2D form as a hierarchically indexed DataFrame. See the section :ref:`hierarchical indexing <indexing.hierarchical>` for more on this. To convert a Panel to a DataFrame, use the to_frame method:

.. ipython:: python

   panel = Panel(np.random.randn(3, 5, 4), items=['one', 'two', 'three'],
                 major_axis=date_range('1/1/2000', periods=5),
                 minor_axis=['a', 'b', 'c', 'd'])
   panel.to_frame()