A simple procedure for testing heterogeneity of variance is developed which generalizes readily to complex, multi-factor experimental designs. Monte Carlo Studies indicate that the Z-variance test statistic presented here yields results equivalent to other familiar tests for heterogeneity of variance in simple one-way designs where comparisons are feasible. The primary advantage of the Z-variance test is in the analysis of factorial effects on sample variances in more complex designs. An example involving a three-way factorial design is presented.

We review successes and challenges from five recent subglacial bedrock drilling campaigns intended to find evidence for Antarctic Ice Sheet retreat during warm periods in the geologic past. Insights into times when the polar ice sheets were smaller than present serve as guiding information for modeling efforts that aim to predict the rate and magnitude of future sea level rise that would accompany major retreat of the Antarctic Ice Sheet. One method to provide direct evidence for the timing of deglaciations and minimum extent of prior ice sheets is to extract subglacial bedrock cores for cosmogenic nuclide analysis from beneath the modern ice sheet surface. Here we summarize the lessons learned from five field seasons tasked with obtaining bedrock cores from shallow depths (<120 m beneath ice surface) across West Antarctica since 2016. We focus our findings on drilling efforts and technology and geophysical surveys with ground-penetrating radar. Shallow subglacial drilling provides a high risk, high reward means to test for past instabilities of the Antarctic Ice Sheet, and we highlight key challenges and solutions to increase the likelihood of success for future subglacial drilling efforts in polar regions.

Patient and public involvement (PPI) must be more frequently embedded within clinical research to ensure translational outcomes are patient-led and meet patient needs. Active partnerships with patients and public groups are an important opportunity to hear patient voices, understand patient needs, and inform future research avenues. A hereditary renal cancer (HRC) PPI group was developed with the efforts of patient participants (n = 9), pooled from recruits within the early detection for HRC pilot study, working in collaboration with researchers and healthcare professionals (n = 8). Patient participants had HRC conditions including Von Hippel–Lindau (n = 3) and Hereditary Leiomyomatosis and Renal Cell Carcinoma (n = 5), and public participants included two patient Trustees (n = 2) from VHL UK & Ireland Charity. Discussions among the enthusiastic participants guided the development of a novel patient information sheet for HRC patients. This communication tool was designed to aid patients when informing family members about their diagnoses and the wider implications for relatives, a gap identified by participants within group discussions. While this partnership was tailored for a specific HRC patient and public group, the process implemented can be employed for other hereditary cancer groups and could be transferable within other healthcare settings.