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The sup-Wald, sup-LM, and sup-LR tests are asymptotic in general (i.e., the asymptotic critical values for these tests are applicable for sample size n as n → ∞), [11] and involve the assumption of homoskedasticity across break points for finite samples; [4] however, an exact test with the sup-Wald statistic may be obtained for a linear ...
Segmented regression analysis can also be performed on multivariate data by partitioning the various independent variables. Segmented regression is useful when the independent variables, clustered into different groups, exhibit different relationships between the variables in these regions. The boundaries between the segments are breakpoints.
His work with statistics grew out of a desire to make choropleth maps more visually accurate for the viewer. In his paper, The Data Model Concept in Statistical Mapping , he claims that by visualizing data in a three dimensional model cartographers could devise a “systematic and rational method for preparing choroplethic maps”. [ 1 ]
Suppose that we model our data as = + + +. If we split our data into two groups, then we have = + + + and = + + +. The null hypothesis of the Chow test asserts that =, =, and =, and there is the assumption that the model errors are independent and identically distributed from a normal distribution with unknown variance.
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There are a few reviews of free statistical software. There were two reviews in journals (but not peer reviewed), one by Zhu and Kuljaca [26] and another article by Grant that included mainly a brief review of R. [27] Zhu and Kuljaca outlined some useful characteristics of software, such as ease of use, having a number of statistical procedures and ability to develop new procedures.
Place this template at the bottom of appropriate articles in statistics: {{Statistics}} For most articles transcluding this template, the name of that section of the template most relevant to the article (usually where a link to the article itself is found) should be added as a parameter. This configures the template to be shown with all but ...
Tukey defined data analysis in 1961 as: "Procedures for analyzing data, techniques for interpreting the results of such procedures, ways of planning the gathering of data to make its analysis easier, more precise or more accurate, and all the machinery and results of (mathematical) statistics which apply to analyzing data." [3]