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Log-linear model
...frequency distributions]] in [[Contingency table|contingency tables]]. Log-linear models can be applied in various fields, including [[Biostatistics|biostati ...al logarithm of the expected frequencies. The general form of a log-linear model for a two-way table is:

3 KB (419 words) - 05:31, 19 March 2024
Linear differential equation
== Linear Differential Equation == A linear differential equation is a type of differential equation that can be expres

4 KB (597 words) - 08:17, 23 February 2024
Linear function
...ious fields, including statistics, physics, economics, and engineering, to model relationships where one variable changes at a constant rate with respect to A '''linear function''' can be understood in the context of a two-dimensional space as

3 KB (432 words) - 07:22, 19 March 2024
Linear growth
...[biology]], [[economics]], and [[mathematics]]. In the context of biology, linear growth is often contrasted with [[exponential growth]], where a quantity in ...owth from late childhood to early adolescence can often be approximated as linear. However, this pattern changes as individuals enter puberty, where growth r

3 KB (391 words) - 14:26, 24 March 2024
Nonlinear regression
...onal data are modeled by a function that is a nonlinear combination of the model parameters and depends on one or more independent variables. The data are f .... In many cases, the model is a nonlinear function of the parameters but a linear function in terms of the independent variables. However, the term "nonlinea

3 KB (437 words) - 06:07, 16 April 2024
Linear programming
...ar relationships]]. It is a special case of [[mathematical optimization]]. Linear programming is a way to optimize operations within certain constraints. It ...s: the objective function and the constraints. The objective function is a linear equation that represents the goal of the problem, such as maximizing profit

3 KB (485 words) - 04:47, 22 April 2024
Multivariate normal distribution
...], [[engineering]], [[biology]], and [[psychology]], due to its ability to model the relationships between several normally distributed variables. * '''Linear Combinations:''' Any linear combination of the variables in a multivariate normal distribution is also

3 KB (419 words) - 03:59, 22 April 2024
Mixed model
...at would otherwise violate the assumptions of traditional models such as [[linear regression]], making them a versatile tool in statistical analysis. A mixed model extends the general linear model (GLM) by incorporating random effects in addition to the fixed effects of t

4 KB (558 words) - 06:17, 16 April 2024
Support-vector machine
...mples into one category or the other, making it a non-probabilistic binary linear classifier. SVM models are closely related to neural networks and have been An SVM model represents examples as points in space, mapped so that the examples of the

4 KB (515 words) - 01:44, 22 March 2024
Matrix (mathematics)
...n be computed from the elements of the matrix and has many applications in linear algebra, geometry, and differential equations. ...the analysis of multivariate data, and in [[Economics]], they are used to model and solve economic problems involving multiple variables and equations.

3 KB (527 words) - 12:31, 16 April 2024
Graph of a function
* '''Linear Functions:''' Represented by straight lines, their general form is f(x) = mx + b, where m is the slope, and b is the y-intercept. * '''Quadratic Functions:''' Represented by parabolas, their general form is f(x) = ax^2 + bx + c, where a, b, and c are constants.

3 KB (384 words) - 20:02, 15 April 2024
Vapnik–Chervonenkis dimension
...in the training data instead of the underlying distribution. Conversely, a model with a too-low VC dimension might underfit the data, failing to capture the ...ework. It helps in understanding the trade-off between the complexity of a model and its ability to generalize well from training data to unseen data.

3 KB (505 words) - 02:55, 22 March 2024
Robust regression
...ghly sensitive to outliers in the data, which can significantly affect the model's estimates and predictions. Robust regression methods are developed to be ...e the regression model disproportionately and skew the results, making the model less accurate or even misleading.

4 KB (518 words) - 18:01, 16 April 2024
Statistical parametric mapping
...s performed by subjects) and the observed brain activity. SPM applies this model voxel-wise across the entire brain volume, generating a statistical map tha ...x is created based on the experimental design and includes regressors that model the expected brain response to the experimental conditions.

4 KB (501 words) - 04:30, 9 April 2024
Directed percolation
In general, percolation theory deals with the movement and filtering of fluids through ==Mathematical Model==

4 KB (530 words) - 11:17, 19 April 2024
VSEPR theory
'''Valence Shell Electron Pair Repulsion (VSEPR) theory''' is a model used in [[chemistry]] to predict the geometry of individual molecules from ...irs and lone pairs of electrons on the central atom. Then, using the VSEPR model, the shape of the molecule can be predicted based on the total number of el

3 KB (410 words) - 04:30, 22 March 2024
Broken line
...terms, a broken line is a piecewise linear continuous function. In a more general sense, broken lines can be used to represent a path or a boundary that chan * In [[computer graphics]], they are used to model objects and environments, especially in vector graphics where shapes are de

2 KB (384 words) - 16:18, 24 March 2024
Autocorrelation
...me series analysis]], autocorrelation is used to determine the appropriate model for forecasting. - [[Breusch-Godfrey test]]: A more general test for autocorrelation that can test for higher-order serial correlations

3 KB (531 words) - 12:36, 19 April 2024
Kirkbride Plan hospitals
...l for patients' recovery. This architectural style is characterized by its linear building structure, often in a V-shape, allowing for maximum sunlight and v ...oposed his model in his 1854 book, "On the Construction, Organization, and General Arrangements of Hospitals for the Insane." Kirkbride's design principles we

3 KB (458 words) - 06:25, 31 March 2024
Graph drawing
...ysis Visualization|thumb]] [[File:Goldner-Harary-linear.svg|Goldner-Harary-linear|thumb]] '''Graph drawing''' is a field of [[mathematics]] and [[computer sc ...uniformity, maximizing the clarity of vertex labeling, and maintaining the general symmetry of the drawing.

4 KB (517 words) - 21:54, 19 April 2024