The problem of estimating the variance of the ratio estimator in sampling with probability proportional to aggregate size is investigated. The form of nonnegative unbiased variance estimators is found ...

New to this type of analysis? It's a classic statistics technique that is still useful. Here's a technique for doing a one-way ANOVA using R. Analysis of variance (ANOVA) is a classical statistics ...

For unequal probability sampling designs, design-based variance estimation is cumbersome because it requires second-order inclusion probabilities. For most fixed sample size probability ...

A key statistical test in research fields including biology, economics and psychology, analysis of variance (ANOVA) is very useful for analyzing datasets. It allows comparisons to be made between ...

According to recent macroeconomic studies, microeconomic shocks can generate aggregate fluctuations (the granular hypothesis). I test this idea by studying the variance and tail probability of ...