Data Manipulation Commands

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The Statistics package provides various functions for manipulating statistical data. These include sorting, searching, and data selection routines. The following is a list of available commands.

Count	compute number/total weight of observations
CountMissing	compute number/total weight of missing values
CumulativeProduct	compute cumulative products
CumulativeSum	compute cumulative sums
EvaluateToFloat	evaluate data using floating-point arithmetic
Excise	remove data items based on density
Join	join data samples
OrderByRank	order data items according to their ranks
Rank	rank data items according to their numeric values
Remove	remove data items satisfying a condition
RemoveInRange	remove data items which belong to the given range
RemoveNonNumeric	remove non-numeric values
Select	select data items satisfying a condition
SelectInRange	select data items which belong to the given range
SelectNonNumeric	select non-numeric values
Shuffle	apply random permutation to a data sample
Sort	sort numeric data
SplitByColumn	split matrix
Tally	compute data frequencies
TallyInto	compute cumulative data frequencies
Trim	trim data set
Winsorize	winsorize data set

•	The ArrayTools package provides a number of useful tools for manipulating rectangular arrays. Here is the list of available commands.

AddAlongDimension	add the elements of an Array
Alias	provide different view of rectangular Matrix, Vector, or Array
AllNonZero	true when the Array has no zero entries
AnyNonZeros	check for non zero Array entries
BlockCopy	copy a block of several segments of elements from one Matrix, Vector, or Array to another
CircularShift	shift Array data
ComplexAsFloat	provide real view of a complex Matrix, Vector, or Array
Concatenate	Array concatenation
Copy	copy portion of Matrix, Vector, or Array to another
DataTranspose	perform in-place data transpose
Diagonal	extract the diagonals from a Matrix or create a diagonal Matrix
Dimensions	size of an Array in each dimension
ElementDivide	element-wise division of Array entries
ElementMultiply	element-wise multiplication of Array entries
ElementPower	element-wise power of Array entries
Fill	fill portion of Matrix, Vector, or Array with specified value
FlipDimension	reverse order of elements in an Array
HasNonZero	true when the Array has a non-zero entry
HasZero	true when the Array has a zero entry
IsEqual	compare Arrays for equality
IsZero	true when the Array has only zero entries
LowerTriangle	return the lower triangular region of a matrix
MultiplyAlongDimension	multiply rows of an array
NumElems	return the number of elements in an Array
Permute	permute dimensions of an Array
PermuteInverse	inverse permute dimensions of an Array
RandomArray	randomly generate scalars, Matrices, and Arrays of values drawn from a uniform or normal distribution
RegularArray	generate an array of numbers with specified spacing in a given range
RemoveSingletonDimensions	remove singleton Array dimensions
Replicate	Array replication
Reshape	create a reshaped copy of a Matrix, Vector, or Array
SearchArray	return the indices of nonzero elements of the given Array
Size	return the size of an Array in each dimension
UpperTriangle	compute the upper triangular Matrix

Examples

X := RTABLE(18446790986270127278, float[8], Vector[row], rectangular, Fortran_order, [], 1, 1 .. 100)

(1)

Select only values between -2 and 2;

Y := RTABLE(18446790986270127878, float[8], Vector[row], rectangular, Fortran_order, [], 1, 1 .. 99)

(2)

Select only values between 5th and 95th percentiles (trim).

Z := RTABLE(18446790986281886654, float[8], Vector[column], rectangular, Fortran_order, [], 1, 1 .. 90)

(3)

Replace extreme points with the values of the 5th or the 95th percentile (whichever is closer).

W := RTABLE(18446790986281887734, float[8], Vector[column], rectangular, Fortran_order, [], 1, 1 .. 100)

(4)

Vector[column]([[-1.30030905411587], [-1.30030905411587], [-1.30030905411587], [-1.30030905411587], [-1.30030905411587], [-1.30030905411587], [-.861665947308802], [-1.19754843404833], [-1.16737308532471], [-1.15469196092625]])

(5)

Sort 2-D array according to the numeric values in the second column.

A := Matrix([[1, sin(1)], [2, sin(2)], [3, sin(3)], [4, sin(4)], [5, sin(5)], [6, sin(6)], [7, sin(7)], [8, sin(8)], [9, sin(9)], [10, sin(10)]])

(6)

(7)

B := Matrix([[5, sin(5)], [4, sin(4)], [10, sin(10)], [6, sin(6)], [3, sin(3)], [9, sin(9)], [7, sin(7)], [1, sin(1)], [2, sin(2)], [8, sin(8)]])

(8)

Matrix([[5., -.9589242747], [4., -.7568024953], [10., -.5440211109], [6., -.2794154982], [3., .1411200081], [9., .4121184852], [7., .6569865987], [1., .8414709848], [2., .9092974268], [8., .9893582466]])