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  2. Homogeneity and heterogeneity (statistics) - Wikipedia

    en.wikipedia.org/wiki/Homogeneity_and...

    In statistics, homogeneity and its opposite, heterogeneity, arise in describing the properties of a dataset, or several datasets. They relate to the validity of the often convenient assumption that the statistical properties of any one part of an overall dataset are the same as any other part.

  3. Homoscedasticity and heteroscedasticity - Wikipedia

    en.wikipedia.org/wiki/Homoscedasticity_and...

    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.

  4. Study heterogeneity - Wikipedia

    en.wikipedia.org/wiki/Study_heterogeneity

    Statistical testing for a non-zero heterogeneity variance is often done based on Cochran's Q [13] or related test procedures. This common procedure however is questionable for several reasons, namely, the low power of such tests [14] especially in the very common case of only few estimates being combined in the analysis, [15] [7] as well as the specification of homogeneity as the null ...

  5. Heteroskedasticity-consistent standard errors - Wikipedia

    en.wikipedia.org/wiki/Heteroskedasticity...

    When this is not the case, the errors are said to be heteroskedastic, or to have heteroskedasticity, and this behaviour will be reflected in the residuals ^ estimated from a fitted model. Heteroskedasticity-consistent standard errors are used to allow the fitting of a model that does contain heteroskedastic residuals.

  6. United States v. Imperial Petroleum, Inc. - Wikipedia

    en.wikipedia.org/wiki/United_States_v._Imperial...

    Please help update this article to reflect recent events or newly available information. ( September 2015 ) United States vs. Imperial Petroleum is a federal criminal case in which Imperial Petroleum and others are accused of passing off RIN -stripped B99 as pure biodiesel .

  7. Baskin v. Bogan - Wikipedia

    en.wikipedia.org/wiki/Baskin_v._Bogan

    Lambda Legal filed Baskin v.Bogan in the U.S. District Court for the Southern District of Indiana on March 12, 2014, on behalf of three same-sex couples, all women. Their complaint named as defendants Indiana Attorney General Greg Zoeller and three county clerks, with one of the county clerks, Penny Bogan, in her official capacity, as the first-named defendant.

  8. Breusch–Pagan test - Wikipedia

    en.wikipedia.org/wiki/Breusch–Pagan_test

    Suppose that we estimate the regression model = + +, and obtain from this fitted model a set of values for ^, the residuals. Ordinary least squares constrains these so that their mean is 0 and so, given the assumption that their variance does not depend on the independent variables, an estimate of this variance can be obtained from the average of the squared values of the residuals.

  9. Thomas v. Review Board of the Indiana Employment Security ...

    en.wikipedia.org/wiki/Thomas_v._Review_Board_of...

    Thomas v. Review Board of the Indiana Employment Security Division , 450 U.S. 707 (1981), was a case [ 1 ] in which the Supreme Court of the United States held that Indiana 's denial of unemployment compensation benefits to petitioner violated his First Amendment right to free exercise of religion, under Sherbert v.