unstack - Unstack data from one variable into multiple variables - MATLAB (original) (raw)

Unstack data from one variable into multiple variables

Syntax

Description

[U](#btzaco8-1-U) = unstack([S](#btzaco8-1-S),[vars](#btzaco8-1-vars),[ivar](#btzaco8-1-ivar)) converts the table or timetable, S, to an equivalent table or timetable, U, that is unstacked. vars specifies variables in S, each of which is unstacked into multiple variables in U. In general, U contains more variables, but fewer rows, than S.

The ivar input argument specifies the variable inS that unstack uses as an indicator variable. The values in ivar determine which variables inU contain elements taken from vars after unstacking.

The unstack function treats the remaining variables differently in tables and timetables.

You cannot unstack the row names of a table, or the row times of a timetable, or specify either as the indicator variable. You can specify row names or row times as constant variables with the 'ConstantVariables' argument.

example

[U](#btzaco8-1-U) = unstack([S](#btzaco8-1-S),[vars](#btzaco8-1-vars),[ivar](#btzaco8-1-ivar),[Name,Value](#namevaluepairarguments)) converts the table or timetable S with additional options specified by one or more Name,Value pair arguments.

For example, you can specify how unstack converts variables from S to variables in U.

[[U](#btzaco8-1-U),[is](#btzaco8-1-is)] = unstack(___) also returns an index vector, is, indicating the correspondence between rows in U and rows in S. You can use any of the previous input arguments.

example

Examples

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Separate One Variable into Three Variables

Create a table indicating the amount of snowfall in various towns for various storms. Specify the towns using a categorical array, since there are a fixed set of town names in this table.

Storm = [3;3;1;3;1;1;4;2;4;2;4;2]; Town = categorical({'Natick';'Worcester';'Natick';'Boston';'Boston';'Worcester';... 'Boston';'Natick';'Worcester';'Worcester';'Natick';'Boston'}); Snowfall = [0;3;5;5;9;10;12;13;15;16;17;21];

S = table(Storm,Town,Snowfall)

S=12×3 table Storm Town Snowfall _____ _________ ________

  3      Natick           0   
  3      Worcester        3   
  1      Natick           5   
  3      Boston           5   
  1      Boston           9   
  1      Worcester       10   
  4      Boston          12   
  2      Natick          13   
  4      Worcester       15   
  2      Worcester       16   
  4      Natick          17   
  2      Boston          21   

S contains three snowfall entries for each storm, one for each town. S is in stacked format, with Town having the categorical data type. Table variables that have the categorical data type are useful indicator variables and grouping variables for unstacking.

Separate the variable Snowfall into three variables, one for each town specified in the variable, Town. The output table, U, is in unstacked format.

U = unstack(S,'Snowfall','Town')

U=4×4 table Storm Boston Natick Worcester _____ ______ ______ _________

  3         5         0          3    
  1         9         5         10    
  4        12        17         15    
  2        21        13         16    

Each row in U contains data from rows in S that have the same value in the grouping variable, Storm. The order of the unique values in Storm determines the order of the data in U.

Apply Aggregation Function to Each Group

Unstack data and apply an aggregation function to multiple rows in the same group that have the same values in the indicator variable.

Create a timetable containing data on the price of two stocks over two days. To specify the row times, use datetime values. Specify the names of the stocks using a categorical array since this timetable has a fixed set of stock names.

Date = [repmat(datetime('2008-04-12'),6,1);... repmat(datetime('2008-04-13'),5,1)]; Stock = categorical({'Stock1';'Stock2';'Stock1';'Stock2';... 'Stock2';'Stock2';'Stock1';'Stock2';... 'Stock2';'Stock1';'Stock2'}); Price = [60.35;27.68;64.19;25.47;28.11;27.98;... 63.85;27.55;26.43;65.73;25.94];

S = timetable(Date,Stock,Price)

S=11×2 timetable Date Stock Price ___________ ______ _____

12-Apr-2008    Stock1    60.35
12-Apr-2008    Stock2    27.68
12-Apr-2008    Stock1    64.19
12-Apr-2008    Stock2    25.47
12-Apr-2008    Stock2    28.11
12-Apr-2008    Stock2    27.98
13-Apr-2008    Stock1    63.85
13-Apr-2008    Stock2    27.55
13-Apr-2008    Stock2    26.43
13-Apr-2008    Stock1    65.73
13-Apr-2008    Stock2    25.94

S contains two prices for Stock1 during the first day and four prices for Stock2 during the first day.

Create a timetable containing separate variables for each stock and one row for each day. Use Date (the vector of row times) as the grouping variable and apply the aggregation function, @mean, to the numeric values from the variable, Price, for each group.

[U,is] = unstack(S,'Price','Stock',... 'AggregationFunction',@mean)

U=2×2 timetable Date Stock1 Stock2 ___________ ______ ______

12-Apr-2008    62.27     27.31 
13-Apr-2008    64.79     26.64 

U contains the average price for each stock grouped by date.

is identifies the index of the first value for each group of rows in S. The first value for the group with the date April 13, 2008, is in the seventh row of S.

Input Arguments

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S — Input table

table | timetable

Input table, specified as a table or a timetable. S must contain data variables to unstack, vars, and an indicator variable, ivar. The remaining variables inS can be treated as either grouping variables or constant variables.

vars — Variables in S to unstack

positive integer | vector of positive integers | string array | character vector | cell array of character vectors | pattern scalar | logical vector

Variables in S to unstack, specified as a positive integer, vector of positive integers, string array, character vector, cell array of character vectors, pattern scalar, or logical vector.

ivar — Indicator variable in S

positive integer | character vector | string scalar

Indicator variable in S, specified as a positive integer, a character vector, or a string scalar. The values in the variable specified by ivar indicate which variables inU contain elements taken from the variables specified by vars.

The variable specified by ivar can be a numeric vector, logical vector, character array, cell array of character vectors, string array, or categorical vector.

Name-Value Arguments

Specify optional pairs of arguments asName1=Value1,...,NameN=ValueN, where Name is the argument name and Value is the corresponding value. Name-value arguments must appear after other arguments, but the order of the pairs does not matter.

Before R2021a, use commas to separate each name and value, and enclose Name in quotes.

Example: 'AggregationFunction',@mean applies the aggregation function mean to the values invars.

GroupingVariables — Grouping variables in S that define groups of rows

positive integer | vector of positive integers | string array | character vector | cell array of character vectors | pattern scalar | logical vector

Grouping variables in S that define groups of rows, specified as the comma-separated pair consisting of'GroupingVariables' and a positive integer, vector of positive integers, string array, character vector, cell array of character vectors, pattern scalar, or logical vector. Each group of rows inS becomes one row in U.

If the grouping variables have missing values, thenunstack excludes the corresponding rows of the input table. It groups data and unstacks results without data from those rows. Missing values can be:

To include rows where the grouping variables have missing values, consider using the groupsummary function instead.

S can have row labels along its first dimension. IfS is a table, then it can have row names as the labels. If S is a timetable, then it must have row times as the labels. unstack can treat row labels as grouping variables.

ConstantVariables — Variables constant within a group

positive integer | vector of positive integers | string array | character vector | cell array of character vectors | pattern scalar | logical vector

Variables constant within a group, specified as the comma-separated pair consisting of 'ConstantVariables' and a positive integer, vector of positive integers, string array, character vector, cell array of character vectors, pattern scalar, or logical vector.

The values for these variables in U are taken from the first row in each group in S.

You can include the row names or row times of S when you specify the value of'ConstantVariables'.

NewDataVariableNames — Names for new data variables in U

cell array of character vectors | string array

Names for the new data variables in U, specified as the comma-separated pair consisting of'NewDataVariableNames' and a cell array of character vectors or string array.

If you do not specify 'NewDataVariableNames', thenunstack creates names for the new data variables in U based on values in the indicator variable specified by ivar.

AggregationFunction — Aggregation function to apply to data variables

@sum (numeric data) or@unique (nonnumeric data) (default) | function handle

Aggregation function to apply to data variables, specified as the comma-separated pair consisting of'AggregationFunction' and a function handle.unstack applies this function to rows from the same group that have the same value in ivar. The function must aggregate the data values into one output value.

If you do not specify the value of'AggregationFunction', thenunstack uses different default aggregation functions depending on data type.

If there are no data values to aggregate, because there are no data values corresponding to a given indicator value inivar after unstacking, thenunstack must fill an empty element in the unstacked output table. In that case, unstack either fills in a missing value or calls the user-supplied aggregation function with an empty array as input. In the latter case, the value that unstack fills in depends on what the aggregation function returns when there is no data to aggregate.

Result When There Is No Data for Given Indicator Value Fill Value Inserted into Empty Element of Unstacked Table
Aggregation function is one of the default functions. Missing value of the appropriate data type, such as a NaN,NaT, missing string, or undefined categorical value.
Aggregation function is a user-supplied function. When given an empty array as input, it returns an empty array. Missing value of the appropriate data type, such as a NaN,NaT, missing string, or undefined categorical value.Example: If the aggregation function is min, and it returns a 0-by-1 double array, thenunstack inserts aNaN into the output table.
Aggregation function is a user-supplied function. When given an empty array as input, it returns a scalar. Scalar returned from the aggregation function.Example: If the aggregation function is numel and it returns0, thenunstack inserts a0 into the output table.
Aggregation function is a user-supplied function. It returns a vector, matrix, or multidimensional array. unstack raises an error.
Aggregation function raises an error. unstack raises the same error.

VariableNamingRule — Rule for naming variables in U

'modify' (default) | 'preserve'

Rule for naming variables in U, specified as the comma-separated pair consisting of'VariableNamingRule' and either the value'modify' or 'preserve'.

The values of 'VariableNamingRule' specify the following rules for naming variable in the output table or timetable.

Value of'VariableNamingRule' Rule
'modify' (default) Modify names taken from the input table or timetable so that the corresponding variable names in the output are also valid MATLAB® identifiers.
'preserve' Preserve original names taken from the input table or timetable. The corresponding variable names in the output can have any Unicode® characters, including spaces and non-ASCII characters.Note: In some cases,unstack must modify original names even when 'preserve' is the rule. Such cases include:Duplicate namesNames that conflict with table dimension namesNames that conflict with a reserved name.Names whose lengths exceed the value ofnamelengthmax.

Output Arguments

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U — Output table

table | timetable

Output table, returned as a table or a timetable. U contains the unstacked data variables, the grouping variables, and the first value of each group from any constant variables.

The order of the data in U is based on the order of the unique values in the grouping variables.

You can store additional metadata such as descriptions, variable units, variable names, and row names in U. For more information, see the Properties sections of table or timetable.

is — Index to S

column vector

Index to S, returned as a column vector. For each row in U, the index vector, is, identifies the index of the first value in the corresponding group of rows inS.

More About

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Grouping Variables

Grouping variables are utility variables used to group, or categorize, data. Grouping variables are useful for summarizing or visualizing data by group. You can define groups in your table by specifying one or more grouping variables.

A grouping variable can be any of the following:

Rows where the grouping variables have the sames value belong to the same group.

If the grouping variables have missing values, then unstack excludes the corresponding rows of the input table. It groups data and unstacks results without data from those rows. Missing values are values such asNaNs, NaTs, missing strings, and undefined categorical values.

Tips

Extended Capabilities

C/C++ Code Generation

Generate C and C++ code using MATLAB® Coder™.

Usage notes and limitations:

Thread-Based Environment

Run code in the background using MATLAB® backgroundPool or accelerate code with Parallel Computing Toolbox™ ThreadPool.

Version History

Introduced in R2013b

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R2020a: Default aggregation function for nonnumeric data

In R2020a, if you do not specify the 'AggregationFunction' name-value pair argument, then the default aggregation function for nonnumeric data is the unique function. In previous releases, there was no default aggregation function for nonnumeric data, so unstack would raise an error.

R2020a: Behavior changes when the aggregation function has no data to aggregate

In R2020a, there are behavior changes when the aggregation function has no data to aggregate. This situation can occur when there are no data values that correspond to values in the indicator variable after unstacking. In such cases,unstack essentially calls the aggregation function on an empty array.

Value Returned by Aggregation Function When No Data to Aggregate Behavior in R2020a Behavior in Previous Releases
Data variable is numeric and the aggregation function raises an error. unstack raises an error. unstack filled output table element with fill value that is appropriate for the data type (such asNaN for double arrays).
Data variable is nonnumeric and the aggregation function returns an empty array. unstack fills output table element with fill value that is appropriate for the data type (such as"" for string arrays). unstack raised an error.
Data variable is numeric and the aggregation function returns a scalar value (for example, numel returns 0). unstack inserts value returned by the aggregation function. For example, if numel returns 0, then unstack inserts 0 into corresponding table element. unstack fills output table element with fill value that is appropriate for the data type (such asNaN for double arrays).
Data variable is numeric and the aggregation function returns a vector, matrix, or multidimensional array. unstack raises an error. unstack fills output table element with fill value that is appropriate for the data type (such asNaN for double arrays).