The bias of the mle of box's degrees of freedom correction factor for correlation in anova

Approximate expressions for the mean and variance of the MLE of Box's 2-way ANOVA degrees of freedom factor are given for the case when the usual F test for column effects is appropriate even though there is correlation across columns. A simulation study is performed showing the approximations are good for a variety of numbers of rows and columns. The results confirm that the estimated degrees of freedom factor is badly biased when no factor at all should be used.     

The Enduring Price of Place: Revisiting the Rural Cost of Living☆

Even as the 2016 elections brought increased public attention to rural life, stereotypes and misconceptions abound. One of these misperceptions is the generalization that prices are lower in rural areas. This article is a restudy of Zimmerman, Ham, and Frank (2008) research on geographic differences in the costs of living. Asking the same fundamental question—if someone bought the same thing in a rural and urban area, would they pay the same price?—and using the same methodology, the results 10 years later indicate that, contrary to popular perception, there was again no consistent pattern of lower prices in rural counties and no consistent pattern of a lower rural cost of living in all of the rural areas. While prices are only one piece of the larger picture of how rural households meet their needs, in addition to price differences, the results highlight how differences in rural life create additional costs that extend beyond prices.     

Queering Climate Change: Exploring the Influence of LGBTQ+ Identity on Climate Change Belief and Risk Perceptions*

Although researchers have broadly addressed how race, party identification, political ideology, and binary gender categories influence climate change opinions, little attention has been paid to the relationship between sexuality and gender variance (LGBTQ+ identity broadly) and climate change perceptions. Using a quota-based survey from 2022 that approximates the US population on key demographic characteristics and oversamples LGBTQ+ individuals, we assess the degree to which LGBTQ+ individuals' climate change beliefs and risk perceptions are comparable to cisgender, heterosexual (cishet) individuals, specifically examining climate change beliefs, the perceived threat climate change poses, and worry about climate change. We argue that LGBTQ+ individuals' views are likely to be distinct from their cisgender heterosexual (cishet) counterparts for three reasons: climate change is likely to exacerbate existing structural inequalities, create disaster responses that reinforce heteronormative and discriminatory patterns, and activate LGBTQ+ political culture. We find evidence that LGBTQ+ individuals express higher agreement with climate change beliefs, identify climate change as a greater threat, and worry more about climate change when compared to their cishet counterparts.