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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.
Modern Biblical criticism (as opposed to pre-Modern criticism) is the use of critical analysis to understand and explain the Bible without appealing to the supernatural. . During the eighteenth century, when it began as historical-biblical criticism, it was based on two distinguishing characteristics: (1) the scientific concern to avoid dogma and bias by applying a neutral, non-sectarian ...
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.
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]
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.
This study’s researchers found that the incidence rate ratio of all dementia for people with high cardiorespiratory fitness was 0.6 and onset of dementia was delayed by 1.48 years, compared to ...
Specific collections of biblical writings, such as the Hebrew Bible and Christian Bibles, are considered sacred and authoritative by their respective faith groups. [11] The limits of the canon were effectively set by the proto-orthodox churches from the 1st throughout the 4th century; however, the status of the scriptures has been a topic of scholarly discussion in the later churches.