SUMX2PY2()

Syntax. SUMX2PY2(array_x,array_y)

Definition. This function returns the sum of the sum of squares of corresponding values in two arrays. The sum of the sum of squares is a common term in many statistical calculations (see Figure 16-36).

Arguments

• array_x (required) The first array or range of values

• array_y (required) The second array or range of values

Background. The arguments should be numbers, names, arrays, or references containing numbers.

If an array or a reference argument contains text, logical values, or empty cells, those values are ignored. However, cells with the value zero are included.

If array_x and array_y have a different number of values, the SUMX2PY2() function returns the #N/A error.

The equation for the sum of the difference of squares is:

Σ(x² – y²)

The solution of this equation is built for the example (see Figure 16-36) as follows:

1. In two specified ranges:

   • Range A: 4, 5

   • Range B: 2, 3

   The square number is calculated for each value:

   • Range A: 16, 25

   • Range B: 4, 9

2. The square numbers of all ranges are added:

   • Range A: 41

   • Range B: 13

3. The sums are added (see Figure 16-36):

   41 + 13 = 54

Figure 16-36. Square sum of array components.

See Also

SUMPRODUCT(), SUMX2MY2(), SUMXMY2()

Sample Files

Use the SUMXY worksheet in the Chapter16.xls or Chapter16.xlsx sample file. The sample files are found in the Chapter16 folder. For more information about the sample files, see the section titled Using the Sample Files.