This paper investigates the relationships among board gender diversity, firm performance, and firm size. Our paper provides new insights into the relationship between board gender diversity and firm performance by examining whether firm size alters the impact of board gender diversity on firm performance. We use a panel data from A-share-listed non-financial firms in China to examine the relationship during the period of 2007-2012. Our finding demonstrates that the gender diversity on the board has a positive impact on firm performance if and only if the value of firm size is less than some critical value. In addition, we also find that firm size may undermine the positive impact of board gender diversity on firm performance. This paper contributes to the literature by offering a contingency approach to examine the relationship between board gender diversity and firm performance as well as shedding light on the relationship in the context of a developing economy.

SummaryGroup testing, where subjects are tested in pools rather than individually, has a long history of successful application in infectious disease screening. In this paper, we develop group testing regression models to include covariate effects which are best regarded as random. We present approaches to fit mixed effects models using maximum likelihood, investigate likelihood ratio and score tests for variance components, and evaluate small sample performance using simulation. We illustrate our methods using chlamydia and gonorrhea data collected by the state of Nebraska as part of the Infertility Prevention Project.

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