Deterministic polynomial time primality criteria for 2n − 1 have been known since the work of Lucas in 1876–1878. Little is known, however, about the existence of deterministic polynomial time primality tests for numbers of the more general form Nn = (p − 1) pn − 1, where p is any fixed prime. When n > (p − 1)/2 we show that it is always possible to produce a Lucas-like deterministic test for t...

BACKGROUND Mounting evidence affirms HPV testing as an effective cervical cancer screening tool, and many organized screening programs are considering adopting it as primary testing. HPV self-collection has comparable sensitivity to clinician collected specimens and is considered a feasible option in hard-to-reach women. We explored women's intentions to HPV self-collect for cervical cancer scr...

BACKGROUND Infertility is a serious problem for those who suffer. Some of the risks for infertility are preventable and the individual should therefore have knowledge of them. The purposes of this study were to investigate high-school students' knowledge about fertility, plans for family building and to compare views and knowledge between female and male students. METHODS A questionnaire cont...

The p-value is the most widely used statistical concept in biomedical research. Recently, there are controversies over its utility and over the possible relationship between p-value misuse and the relatively high proportion of published medical research that cannot be replicated. In this paper, we introduce the p-value in layman's terms and explain its randomness and limitations. However, we al...

The aims of this study were to characterize the presence of apathy in patients with AD, determine the relationship between apathy, motor function and cognitive function, and to verify differences among patients stratified by level of apathy in relation to cognitive and motor abilities. Methods A cross-sectional study was conducted of 37 patients with AD. The following tests were used: MoCA, t...

The interpretation of statistically significant findings in a carcinogenicity study is difficult, in part because of the large number of statistical tests conducted. Some scientists who believe that the false positive rates in these experiments are unreasonably large often suggest that the use of multiple control groups will provide important insight into the operational false positive rates. T...

A population based case-control study was performed to determine factors associated with malaria infection among the migrant population, foreign nationals aged 15 years or over. Data were obtained from 217 malaria and 217 non-malaria patients attending the Vector-Borne Disease Control Units 6-9 (Thong Pha Phum and Sangkhla Buri districts) in Kanchanaburi Province and at the Vector-Borne Disease...

Background Developing individual research skills and enhancing the institutional research culture leads to quality research capabilities and research excellence at the national level. We aim to assess the educational needs of healthcare providers regarding research skills at King Fahad Medical City (KFMC), Riyadh, Saudi Arabia. Methods From February 2016 to October 2016, we conducted a cross-se...

Correction In the July/August edition of Paediatric Nursing (16, 6, 36) author details for Linda Shields should have been included This is one of a series of short papers on aspects of research by Alison Twycross and Linda Shields A previous paper in this series explained some statistical terms and why carrying out statistical tests is important. It also highlighted some of the issues to consid...

The performance of the PLP, log-RASTA-PLP, and J-RASTA-PLP front ends for recognition of highly reverberant speech is measured and compared with the performance of humans and the performance of an experimental RASTA-like front end on reverberant speech, and with the performance of a PLP-based recognizer trained on reverberant speech. While humans are able to reliably recognize the reverberant t...