• 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
  • 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
  • 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
  • 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 (1,661 words) - 00:00, 2 May 2022
  • 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
  • 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 (3,388 words) - 18:27, 25 October 2024
  • squares Partial least squares regression Partial leverage Partial regression plot Partial residual plot Particle filter Partition of sums of squares Parzen...
    87 KB (8,285 words) - 04:29, 7 October 2024
  • 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}...
    35 KB (6,568 words) - 22:33, 8 July 2024
  • 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
  • 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 (1,013 words) - 19:42, 28 October 2024
  • 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
  • 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
  • of two distinct isolated primes (2 and 503); unusual number; square-free number; number of compositions (ordered partitions) of 22 into squares; sum of...
    158 KB (25,925 words) - 04:37, 24 October 2024
  • is divergent. By Fermat's theorem on sums of two squares, it follows that the sum of reciprocals of numbers of the form   a 2 + b 2   , {\displaystyle...
    15 KB (2,133 words) - 13:49, 14 September 2024
  • 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 (4,364 words) - 22:48, 7 August 2024
  • 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 (1,122 words) - 01:46, 23 September 2024
  • unobserved quantity) measures the average of the squares of the errors—that is, the average squared difference between the estimated values and the actual...
    24 KB (3,827 words) - 09:26, 11 June 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
  • 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...
    281 KB (22,268 words) - 23:16, 21 October 2024
  • Thumbnail for Least squares
    that for least squares. Least squares problems fall into two categories: linear or ordinary least squares and nonlinear least squares, depending on whether...
    39 KB (5,586 words) - 05:22, 16 October 2024
  • 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
  • according to Stigler. These include hypothesis testing, the partitioning of sums of squares, experimental techniques and the additive model. Laplace was...
    56 KB (7,597 words) - 13:54, 12 August 2024
  • D_{\text{oct/wat}}=\log _{10}\left(\sum _{I=0}^{M}f^{I}P_{\text{oct/wat}}^{I}\right),} which sums the individual partition coefficients (not their logarithms)...
    57 KB (6,373 words) - 07:40, 20 October 2024
  • 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 (14,894 words) - 14:02, 24 October 2024
  • 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...
    24 KB (4,048 words) - 11:06, 17 October 2024
  • list of algebraic number theory topics Unimodular lattice Fermat's theorem on sums of two squares Proofs of Fermat's theorem on sums of two squares Riemann...
    10 KB (937 words) - 23:04, 14 September 2024
  • 23, sphenic number, number of partitions of 38 into nonprime parts 806 = 2 × 13 × 31, sphenic number, nontotient, totient sum for first 51 integers, happy...
    22 KB (3,851 words) - 10:39, 19 August 2024
  • Thumbnail for Ordinary least squares
    In statistics, ordinary least squares (OLS) is a type of linear least squares method for choosing the unknown parameters in a linear regression model...
    64 KB (9,005 words) - 22:00, 20 October 2024
  • 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...
    32 KB (4,754 words) - 00:54, 26 January 2024
  • Durfee square is an attribute of an integer partition. A partition of n has a Durfee square of size s if s is the largest number such that the partition contains...
    4 KB (449 words) - 08:10, 9 June 2024