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Yearly Archives: 2022

James-Stein estimators

James-Stein estimators : James-Stein estimators are statistical methods that are used to improve the accuracy of point estimates. These estimators are named after Charles James and William Stein, who first developed them in the 1950s. One example of a James-Stein estimator is the shrinkage estimator. This estimator is used when there are multiple data points […]

Jackknife

Jackknife : Jackknife is a statistical method used to estimate the bias and variance of a population statistic. It involves repeatedly leaving out one or more observations from a dataset and calculating the statistic of interest on each subset. The estimates from each subset are then compared to determine the overall bias and variance of […]

Jaccard coefficient

Jaccard coefficient : The Jaccard coefficient is a measure of similarity between two sets of data. It is calculated by taking the intersection of the two sets (the number of elements that are common to both sets) and dividing it by the union of the two sets (the total number of unique elements in both […]

Iterative proportional fitting

Iterative proportional fitting : Iterative proportional fitting, also known as raking, is a statistical method used to adjust survey data to match known population characteristics. This is done in order to ensure that the survey results accurately represent the entire population, rather than just the sample of individuals who were surveyed. One example of iterative […]

Iteratively reweighted least squares (IRLS)

Iteratively reweighted least squares (IRLS) : Iteratively reweighted least squares (IRLS) is an algorithm used to solve optimization problems that involve fitting a model to data by minimizing the sum of squared errors. It is an iterative method, meaning that it repeats a series of steps until it arrives at a satisfactory solution. One way […]

Iteration

Iteration : Iteration is a common concept in both computer programming and mathematics, and it refers to the repetition of a certain process or algorithm. In other words, it is the act of repeating a set of instructions or calculations until a specific condition is met. Iteration allows for the efficient and effective completion of […]

Iterated conditional modes algorithm (ICM)

Iterated conditional modes algorithm (ICM) : Iterated conditional modes (ICM) is an algorithm used in probabilistic graphical models, specifically in the context of Markov random fields (MRFs). The goal of the algorithm is to find a local maximum of the probability distribution over the MRF variables, known as the maximum a posteriori (MAP) estimate. To […]

Iterated bootstrap

Iterated bootstrap : The iterated bootstrap is a statistical method that involves resampling a dataset with replacement to generate multiple new datasets, each of which is used to estimate the sampling distribution of a statistic. This process is repeated multiple times to create a large number of estimates, which are then used to provide a […]

Item-total correlation

Item-total correlation : Item-total correlation is a statistical measure that describes the relationship between individual items (or variables) and the sum of all items in a set. This measure is often used in psychological research to assess the internal consistency and reliability of survey or test items. For example, imagine that you are administering a […]

Item-response theory

Item-response theory : Item response theory (IRT) is a mathematical and statistical model that is used to measure individuals’ abilities, attitudes, or other psychological characteristics. IRT is commonly used in educational and psychological assessments, such as standardized tests, to evaluate how well an individual has mastered a particular concept or skill. One of the key […]