• The partition of sums of squares is a concept that permeates much of inferential statistics and descriptive statistics. More properly, it is the partitioning...
    9 KB (1,712 words) - 14:49, 9 August 2024
  • sum of squares (RSS), also known as the sum of squared residuals (SSR) or the sum of squared estimate of errors (SSE), is the sum of the squares of residuals...
    6 KB (1,055 words) - 08:31, 1 March 2023
  • elsewhere, sums of squares occur in a number of contexts: For partitioning of variance, see Partition of sums of squares For the "sum of squared deviations"...
    4 KB (704 words) - 22:13, 18 November 2023
  • and the error term.[page needed] The main difference between the sum of squares of the within-subject factors and between-subject factors is that within-subject...
    13 KB (1,666 words) - 19:06, 12 February 2025
  • In additive number theory, Fermat's theorem on sums of two squares states that an odd prime p can be expressed as: p = x 2 + y 2 , {\displaystyle p=x^{2}+y^{2}...
    36 KB (6,609 words) - 11:11, 5 January 2025
  • a sum of squares due to lack of fit, or more tersely a lack-of-fit sum of squares, is one of the components of a partition of the sum of squares of residuals...
    10 KB (1,625 words) - 09:50, 3 March 2023
  • total sum of squares is the sum of the so-called "within-samples" sum of squares and "between-samples" sum of squares, i.e., partitioning of the sum of squares...
    2 KB (297 words) - 08:24, 7 October 2024
  • each of the T i {\displaystyle T_{i}} will be zero. It is now possible to calculate three sums of squares: Individual I = ∑ x 2 {\displaystyle I=\sum x^{2}}...
    5 KB (1,016 words) - 18:44, 16 February 2025
  • Thumbnail for Integer partition
    combinatorics, a partition of a non-negative integer n, also called an integer partition, is a way of writing n as a sum of positive integers. Two sums that differ...
    29 KB (3,396 words) - 22:30, 27 March 2025
  • Integer partition Jacobi's four-square theorem Gauss circle problem P. T. Bateman (1951). "On the Representation of a Number as the Sum of Three Squares" (PDF)...
    10 KB (1,128 words) - 22:46, 4 March 2025
  • In statistics, the explained sum of squares (ESS), alternatively known as the model sum of squares or sum of squares due to regression (SSR – not to be...
    8 KB (1,915 words) - 20:50, 28 February 2024
  • expected mean squares (EMS) are the expected values of certain statistics arising in partitions of sums of squares in the analysis of variance (ANOVA)...
    6 KB (854 words) - 07:39, 15 February 2024
  • squares Partial least squares regression Partial leverage Partial regression plot Partial residual plot Particle filter Partition of sums of squares Parzen...
    87 KB (8,280 words) - 23:04, 12 March 2025
  • according to Stigler. These include hypothesis testing, the partitioning of sums of squares, experimental techniques and the additive model. Laplace was...
    56 KB (7,645 words) - 19:43, 6 February 2025
  • The sum of the reciprocals of the primes of the form 4n + 1 is divergent. By Fermat's theorem on sums of two squares, it follows that the sum of reciprocals...
    16 KB (2,238 words) - 08:34, 22 February 2025
  • matrix, and partition of the sum of squares in statistics problems, especially in the analysis of variance, quotition and partition, two ways of viewing the...
    4 KB (237 words) - 00:57, 26 February 2024
  • Thumbnail for Magic square
    magic square is a multiple of the order of the smaller squares. Such squares can usually be partitioned into smaller non-overlapping magic sub-squares. Inlaid...
    283 KB (22,399 words) - 20:37, 1 April 2025
  • Thumbnail for Partition function (number theory)
    In number theory, the partition function p(n) represents the number of possible partitions of a non-negative integer n. For instance, p(4) = 5 because...
    27 KB (4,352 words) - 05:39, 24 December 2024
  • Thumbnail for Least squares
    In regression analysis, least squares is a parameter estimation method based on minimizing the sum of the squares of the residuals (a residual being the...
    40 KB (5,702 words) - 14:06, 26 February 2025
  • multiway number partitioning is the problem of partitioning a multiset of numbers into a fixed number of subsets, such that the sums of the subsets are...
    33 KB (4,749 words) - 23:31, 9 March 2025
  • of two distinct isolated primes (2 and 503); unusual number; square-free number; number of compositions (ordered partitions) of 22 into squares; sum of...
    146 KB (24,094 words) - 19:03, 31 March 2025
  • Thumbnail for Integral
    integral is defined in terms of Riemann sums of functions with respect to tagged partitions of an interval. A tagged partition of a closed interval [a, b]...
    69 KB (9,283 words) - 19:20, 3 March 2025
  • Thumbnail for United Nations Partition Plan for Palestine
    The United Nations Partition Plan for Palestine was a proposal by the United Nations to partition Mandatory Palestine at the end of the British Mandate...
    123 KB (14,747 words) - 09:55, 26 March 2025
  • : 10–13  and : 3–5  for surveys. The problem of partitioning a rectilinear polygon to a smallest number of squares (in contrast to arbitrary rectangles) is...
    20 KB (2,579 words) - 21:10, 16 March 2025
  • sums to the magic constant, 4 × 4 pandiagonal magic squares are most-perfect magic squares. In addition, the two numbers at the opposite corners of any...
    36 KB (2,450 words) - 18:05, 20 September 2024
  • Thumbnail for Coefficient of determination
    can be measured with two sums of squares formulas: The sum of squares of residuals, also called the residual sum of squares: S S res = ∑ i ( y i − f i...
    45 KB (6,216 words) - 05:14, 27 February 2025
  • Thumbnail for Rank of a partition
    combinatorics, the rank of an integer partition is a certain number associated with the partition. In fact at least two different definitions of rank appear in...
    12 KB (1,359 words) - 00:51, 7 January 2025
  • Thumbnail for Stirling numbers of the second kind
    combinatorics, a Stirling number of the second kind (or Stirling partition number) is the number of ways to partition a set of n objects into k non-empty subsets...
    25 KB (4,313 words) - 09:20, 28 February 2025
  • unobserved quantity) measures the average of the squares of the errors—that is, the average squared difference between the estimated values and the true...
    24 KB (3,821 words) - 18:43, 16 February 2025
  • Thumbnail for Block matrix
    \sum _{i=1}^{p}m_{i}=m} , and ∑ j = 1 q n j = n {\displaystyle \sum _{j=1}^{q}n_{j}=n} . The elements A i j {\displaystyle A_{ij}} of the partition are...
    29 KB (4,799 words) - 22:17, 6 March 2025