countwts#

Purpose#

Returns a weighted count of the numbers of elements of a vector that fall into specified ranges.

Format#

c = countwts(x, v, w)#
Parameters:

  • x (Nx1 vector) – the numbers to be counted.

  • v (Px1 vector) – the breakpoints specifying the ranges within which counts are to be made. This MUST be sorted in ascending order (lowest to highest).

  • w (Nx1 vector) – weights.

Returns:

c (Px1 vector) –

the weighted counts of the elements of x that fall into the regions:

\[\begin{split}x < v[1],\\ v[1] ≤ x < v[2],\\ \vdots\\ v[p-1] ≤ x < v[p]\end{split}\]

That is, when \(x[i]\) falls into region j, the weight \(w[i]\) is added to the jth counter.

Examples#

// Original data
x = { 1, 3, 2, 4, 1, 3 };

// Weights
w = { .25, 1, .333, .1, .25, 1 };

// Break points
v = { 0, 1, 2, 3, 4 };

// Get counts
c = countwts(x,v,w);

    0.0000000
    0.5000000
c = 0.3330000
    2.0000000
    0.1000000

Remarks#

If any elements of x are greater than the last element of v, they will not be counted.

Missing values are not counted unless there is a missing in v. A missing value in v MUST be the first element in v.

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