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
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...
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squares Partial least squares regression Partial leverage Partial regression plot Partial residual plot Particle filter Partition of sums of squares Parzen...
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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...
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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...
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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...
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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...
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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)...
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unobserved quantity) measures the average of the squares of the errors—that is, the average squared difference between the estimated values and the actual...
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expected mean squares (EMS) are the expected values of certain statistics arising in partitions of sums of squares in the analysis of variance (ANOVA)...
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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
that for least squares. Least squares problems fall into two categories: linear or ordinary least squares and nonlinear least squares, depending on whether...
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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...
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according to Stigler. These include hypothesis testing, the partitioning of sums of squares, experimental techniques and the additive model. Laplace was...
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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
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
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...
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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...
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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...
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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