BACKGROUND/AIMS Cluster designs favor unbalanced baseline measures. The aim of the present study was to determine the frequency of unbalanced baseline BMI on school-based randomized controlled trials (RCT) aimed at obesity reduction and to evaluate the analysis strategies. We hypothesized that the adjustment of unbalanced baseline measures may explain the great discrepancy among studies. METH...

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Homodyne detection is one of the ways to circumvent the standard quantum limit for a gravitational wave detector. In this paper it will be shown that the same quantum-non-demolition effect using homodyne detection can be realized by heterodyne detection with unbalanced RF sidebands. Furthermore, a broadband quantum-non-demolition readout scheme can also be realized by the unbalanced sideband de...

OBJECTIVES To identify factors affecting the sex ratio at birth. DESIGN Cross-sectional study. SETTING Obstetric department of a public hospital in Hong Kong. PARTICIPANTS All pregnant women delivered between 2001 and 2010. MAIN OUTCOME MEASURES Sex ratio at birth versus women's eligibility status, age, parity, number of miscarriages or terminations of pregnancy, and number of fetuses w...

Given a finite family F of convex sets in R, we say that F has the (p, q)r property if for any p convex sets in F there are at least r q-tuples that have non empty intersection. The piercing number of F is the minimum number of points we need to intersect all the sets in F . In this paper we willl find some bounds for the piercing number of families of convex sets with (p, q)r properties.