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  2. Linear trend estimation - Wikipedia

    en.wikipedia.org/wiki/Linear_trend_estimation

    Linear trend estimation is a statistical technique used to analyze data patterns. Data patterns, or trends, occur when the information gathered, tends to increase or decrease over time, or is influenced by changes in an external factor. Linear trend estimation essentially creates a straight line on a graph of data that models the general ...

  3. Best linear unbiased prediction - Wikipedia

    en.wikipedia.org/wiki/Best_linear_unbiased...

    In statistics, best linear unbiased prediction ( BLUP) is used in linear mixed models for the estimation of random effects. BLUP was derived by Charles Roy Henderson in 1950 but the term "best linear unbiased predictor" (or "prediction") seems not to have been used until 1962. [ 1] ". Best linear unbiased predictions" (BLUPs) of random effects ...

  4. Theil–Sen estimator - Wikipedia

    en.wikipedia.org/wiki/Theil–Sen_estimator

    Definition. As defined by Theil (1950), the Theil–Sen estimator of a set of two-dimensional points (xi, yi) is the median m of the slopes (yj − yi)/ (xj − xi) determined by all pairs of sample points. Sen (1968) extended this definition to handle the case in which two data points have the same x coordinate. In Sen's definition, one takes ...

  5. Jonckheere's trend test - Wikipedia

    en.wikipedia.org/wiki/Jonckheere's_Trend_Test

    Jonckheere's trend test. In statistics, the Jonckheere trend test[ 1] (sometimes called the Jonckheere–Terpstra[ 2] test) is a test for an ordered alternative hypothesis within an independent samples (between-participants) design. It is similar to the Kruskal-Wallis test in that the null hypothesis is that several independent samples are from ...

  6. Coefficient of determination - Wikipedia

    en.wikipedia.org/wiki/Coefficient_of_determination

    These two trends construct a reverse u-shape relationship between model complexity and R 2, which is in consistent with the u-shape trend of model complexity vs. overall performance. Unlike R 2 , which will always increase when model complexity increases, R 2 will increase only when the bias eliminated by the added regressor is greater than the ...

  7. Cochran–Armitage test for trend - Wikipedia

    en.wikipedia.org/wiki/Cochran–Armitage_test_for...

    The Cochran–Armitage test for trend, [1] [2] named for William Cochran and Peter Armitage, is used in categorical data analysis when the aim is to assess for the presence of an association between a variable with two categories and an ordinal variable with k categories. It modifies the Pearson chi-squared test to incorporate a suspected ...

  8. Trend analysis - Wikipedia

    en.wikipedia.org/wiki/Trend_analysis

    TRL. Technology scouting. v. t. e. Trend analysis is the widespread practice of collecting information and attempting to spot a pattern. In some fields of study, the term has more formally defined meanings. [ 1][ 2][ 3] Although trend analysis is often used to predict future events, it could be used to estimate uncertain events in the past ...

  9. Autoregressive model - Wikipedia

    en.wikipedia.org/wiki/Autoregressive_model

    Autoregressive model. In statistics, econometrics, and signal processing, an autoregressive ( AR) model is a representation of a type of random process; as such, it can be used to describe certain time-varying processes in nature, economics, behavior, etc. The autoregressive model specifies that the output variable depends linearly on its own ...