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Heteroscedasticity often occurs when there is a large difference among the sizes of the observations. A classic example of heteroscedasticity is that of income versus expenditure on meals. A wealthy person may eat inexpensive food sometimes and expensive food at other times. A poor person will almost always eat inexpensive food.
Plot with random data showing heteroscedasticity: The variance of the y-values of the dots increases with increasing values of x. In statistics , a sequence of random variables is homoscedastic ( / ˌ h oʊ m oʊ s k ə ˈ d æ s t ɪ k / ) if all its random variables have the same finite variance ; this is also known as homogeneity of variance.
Biblical studies is the academic application of a set of diverse disciplines to the study of the Bible, with Bible referring to the books of the canonical Hebrew Bible in mainstream Jewish usage and the Christian Bible including the canonical Old Testament and New Testament, respectively.
In statistics, the Goldfeld–Quandt test checks for heteroscedasticity in regression analyses. It does this by dividing a dataset into two parts or groups, and hence the test is sometimes called a two-group test. The Goldfeld–Quandt test is one of two tests proposed in a 1965 paper by Stephen Goldfeld and Richard Quandt. Both a parametric ...
In statistics, Bartlett's test, named after Maurice Stevenson Bartlett, [1] is used to test homoscedasticity, that is, if multiple samples are from populations with equal variances. [2] Some statistical tests, such as the analysis of variance, assume that variances are equal across groups or samples, which can be checked with Bartlett's test.
We reject the null hypothesis of homoscedasticity and conclude that heteroscedasticity is present. See also. Breusch–Pagan test;
While Dever has criticized the Copenhagen School for its more radical approach, he is far from being a biblical literalist, and thinks that the purpose of biblical archaeology is not to simply support or discredit the biblical narrative, but to be a field of study in its own right. [10] [11]
Source criticism, in biblical criticism, refers to the attempt to establish the sources used by the authors and redactors of a biblical text. It originated in the 18th century with the work of Jean Astruc, who adapted the methods already developed for investigating the texts of classical antiquity (in particular, Homer's Iliad) to his own investigation into the sources of the Book of Genesis. [1]