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  2. Partial residual plot - Wikipedia

    en.wikipedia.org/wiki/Partial_residual_plot

    Residuals = residuals from the full model, ^ = regression coefficient from the i-th independent variable in the full model, X i = the i-th independent variable. Partial residual plots are widely discussed in the regression diagnostics literature (e.g., see the References section below).

  3. PRESS statistic - Wikipedia

    en.wikipedia.org/wiki/PRESS_statistic

    Models that are over-parameterised (over-fitted) would tend to give small residuals for observations included in the model-fitting but large residuals for observations that are excluded. The PRESS statistic has been extensively used in lazy learning and locally linear learning to speed-up the assessment and the selection of the neighbourhood size.

  4. Regression diagnostic - Wikipedia

    en.wikipedia.org/wiki/Regression_diagnostic

    Partial regression plot; Student's t test for testing inclusion of a single explanatory variable, or the F test for testing inclusion of a group of variables, both under the assumption that model errors are homoscedastic and have a normal distribution. Change of model structure between groups of observations. Structural break test. Chow test

  5. Regression validation - Wikipedia

    en.wikipedia.org/wiki/Regression_validation

    For example, the lack-of-fit test for assessing the correctness of the functional part of the model can aid in interpreting a borderline residual plot. One common situation when numerical validation methods take precedence over graphical methods is when the number of parameters being estimated is relatively close to the size of the data set.

  6. Errors and residuals - Wikipedia

    en.wikipedia.org/wiki/Errors_and_residuals

    In regression analysis, the distinction between errors and residuals is subtle and important, and leads to the concept of studentized residuals. Given an unobservable function that relates the independent variable to the dependent variable – say, a line – the deviations of the dependent variable observations from this function are the ...

  7. Partial regression plot - Wikipedia

    en.wikipedia.org/wiki/Partial_regression_plot

    The residuals from the least squares linear fit to this plot are identical to the residuals from the least squares fit of the original model (Y against all the independent variables including Xi). The influences of individual data values on the estimation of a coefficient are easy to see in this plot.

  8. Leverage (statistics) - Wikipedia

    en.wikipedia.org/wiki/Leverage_(statistics)

    Note that the partial leverage is the leverage of the point in the partial regression plot for the variable. Data points with large partial leverage for an independent variable can exert undue influence on the selection of that variable in automatic regression model building procedures.

  9. Normal probability plot - Wikipedia

    en.wikipedia.org/wiki/Normal_probability_plot

    Normal probability plots are made of raw data, residuals from model fits, and estimated parameters. A normal probability plot. In a normal probability plot (also called a "normal plot"), the sorted data are plotted vs. values selected to make the resulting image look close to a straight line if the data are approximately normally distributed.