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Analysis of variance (ANOVA) and regression are widely used in statistics. ANOVA is used to study the effects of two or more independent variables on a dependent variable. It is more general than the ideal, or one variable two-group ANOVA, as it accommodates any number of independent variables and categories of dependent variable. Regression is a statistical model for predicting a dependent variable from one or more independent variables. A constantly decreasing series of probabilities is used to predict an impending event. If the series is constructed up to a future, or terminal, point, then this will be called a "Survival function." Each event is represented as a uniform random variable.

In surveys, characters are selected at random from a particular population rather than being chosen by population members. A well-constructed experiment can define many things by random sampling from a larger population. For example, students usually learn statistics by random sampling from a population known as the total student population. The population of students is divided by subject matter. For example, all students can be divided into those who study pre-medicine and those who study medicine. Random sampling from the pre-medicine population can then provide information about the incidence of pre-medicine occurrences such as having a dream about being a doctor, or knowing a doctor. The confidence interval describes the "confidence" that data could be similar to the population from which the sample was drawn. If a confidence interval lies entirely within the population, then it is said to be exact. The term confidence is in large part related to the fact that the product of a number of numbers in a confidence interval is significantly greater than one. There are even more systematic ways to construct a confidence interval, but these are not used commonly. Typically, researchers minimize the error of their estimates within a given confidence interval by taking multiple samples from the same population. d2c66b5586