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Mathematica > Data Manipulation > Statistical Data Analysis > Exploratory Data Analysis > BinLists >

Mathematica > Mathematics and Algorithms > Statistical Data Analysis > Exploratory Data Analysis > BinLists >

BinLists

gives lists of the elements

whose values lie in successive integer bins.

BinLists

gives lists of the elements

whose values lie in successive bins of width dx.

BinLists

gives lists of the

that lie in successive bins of width dx from

BinLists

gives lists of the

that lie in the intervals

, ....

BinLists

gives an array of lists where the first index corresponds to x bins, the second to y, and so on.

MORE INFORMATION

BinLists drops elements whose values do not correspond to real numbers.

Within each bin, elements appear in the same order as in the original data.

BinLists takes the bin boundaries to be integer multiples of dx, with the first bin starting at Ceiling[Min[data]-dx, dx] and the last bin ending at Floor[Max[data]+dx, dx].

BinLists[data] is equivalent to BinLists.

BinLists is equivalent to BinLists.

In BinLists, elements are placed in bin i when their values satisfy .

In the form BinLists, the at each end can be Infinity and Infinity.

If the do not form an increasing sequence, they are automatically sorted by BinLists.

In BinLists, elements are put in bin i when their values satisfy .

If data consists of length-n sublists, then n bin specifications must be given, and BinLists yields an array of lists of depth n.

BinLists works with SparseArray objects.

EXAMPLES

CLOSE ALL

Basic Examples (3)

Make lists of elements in bins of width 1 from 0 to 10:

List elements in a sequence of ranges:

List elements in bins of a specified width:

Make lists of elements in bins of width 1 from 0 to 10:

In[1]:=

Out[1]=

List elements in a sequence of ranges:

In[1]:=

Out[1]=

List elements in bins of a specified width:

In[1]:=

Out[1]=

Scope (6)

List squares mod 3 and 5 in two-dimensional unit bins:

List random pairs in bins of width 0.25 in both dimensions:

List multidimensional data in ranges:

Bin data in any dimension:

Bin data, ignoring values that are not real:

Bin data of any precision:

Applications (1)

Visualize two-dimensional data in bins:

Properties & Relations (1)

The length of BinLists is equivalent to the results from BinCounts:

Possible Issues (1)

Binning intervals are closed on the left: