Linear model : Linear model is a mathematical model that represents the relationship between a dependent variable and one or more independent variables by using a linear equation. This model assumes that the relationship between the dependent and independent variables is linear, which means that the change in the dependent variable is directly proportional to […]

Linearizing : Linearizing is a mathematical method used to approximate a non-linear function with a linear one. This can be useful in situations where a non-linear function is difficult to work with, or when a linear approximation is desired for simplicity or ease of calculation. One common example of linearizing is with the exponential function. […]

Linear estimator : A linear estimator is a mathematical model that is used to predict the value of a dependent variable (also known as the output variable) based on one or more independent variables (also known as the input variables). This type of model is called a “linear” estimator because it makes predictions using a […]

What is Linear-by-linear association test ? The linear-by-linear association test is a statistical method used to assess the relationship between two categorical variables. It is a type of chi-squared test that examines whether the observed frequency distribution of the two variables differs significantly from the expected frequency distribution under the assumption of independence. One example of […]

Linear Algebra : Linear algebra is a branch of mathematics that deals with the study of linear equations, vectors, and matrices. It is a crucial part of many fields, including physics, engineering, and computer science, as it allows us to represent and manipulate data in a systematic and efficient way. One of the key concepts […]

Lindley’s paradox : Lindley’s paradox is a statistical concept that describes the tension between Bayesian and frequentist interpretations of probability. This tension arises when a statistical hypothesis is tested using a small sample size, leading to conflicting conclusions about the likelihood of the hypothesis being true. To understand Lindley’s paradox, consider the following example. Imagine […]

Lilliefors test : The Lilliefors test is a statistical test that is used to determine whether a given data set follows a specific distribution. This test is particularly useful when dealing with small sample sizes, as it provides a more accurate assessment of the data’s distribution than other tests. One example of the Lilliefors test […]

Likert scales : Likert scales are a type of psychometric scale commonly used in survey research to measure respondents’ attitudes, opinions, and behaviors. Named after American social psychologist Rensis Likert, these scales consist of a series of statements or questions to which respondents are asked to indicate their level of agreement or disagreement. One example […]

Likelihood Principle : The likelihood principle states that the probability of an observed data set should not depend on the particular model or hypothesis being tested, but only on the data itself and the assumed distribution of the data. In other words, the likelihood of a model or hypothesis should only be based on how […]

Likelihood distance test : Likelihood distance test is a statistical method used to evaluate the fit of a proposed model to observed data. It is a measure of how well the model describes the data, and it is calculated by comparing the likelihood of the observed data under the proposed model, to the likelihood of […]