On the Optimality of Spring Balance Weighing Designs
The Annals of Statistics, 1983 This paper deals with techniques for finding $\Phi$-optimal designs for weighing $v$ objects in $b$ weighings using a spring balance. The optimality functions considered encompass a large class of functions. Results are applied to find $A$-, $D$- and $E$-optimal designs and the optimal designs obtained are seen to be related to certain types of well ...
Jacroux, Mike, Notz, William
openaire +3 more sources
A Measurement of Newton's Gravitational Constant [PDF]
, 2006 A precision measurement of the gravitational constant $G$ has been made using a beam balance. Special attention has been given to determining the calibration, the effect of a possible nonlinearity of the balance and the zero-point variation of the ...
A. H. Slocum +12 more
core +2 more sources
Highly D-Efficient Weighing Designs for an Even Number of Objects
Revstat Statistical Journal, 2018 In this paper we formulate how to add a = 1, 2, 3 runs to a near D-optimal weighing design to get a highly D-efficient weighing design when the number of objects p is even.
Bronisław Ceranka +1 more
doaj +1 more source
Regular A-optimal spring balance weighing designs with correlated errors
Hacettepe Journal of Mathematics and Statistics, 2014 The problems linked with an E-optimal spring balance weighing design with correlated errors are discussed. The topic is focus on the determining the maximal eigenvalue of the inverse of the information matrix of estimators. The constructing method of the E-optimal design, based on the incidence matrices of balanced incomplete block designs, is ...
CERANKA, Bronisław +1 more
openaire +2 more sources
Development and application of a sensitive, high precision weighing lysimeter for use in greenhouses [PDF]
, 1985 A high precision weighing lysimeter for measuring evapotranspiration in greenhouses was developed. The instrument has a measurement of sensitivity of one part in 106, that is one order of magnitude better than any other so far described in the literature.
Bot, G.P.A. +3 more
core +3 more sources
Highly D‑efficient Weighing Design and Its Construction
Acta Universitatis Lodziensis. Folia Oeconomica, 2017 In this paper, some aspects of design optimality on the basis of spring balance weighing designs are considered. The properties of D‑optimal and D‑efficiency designs are studied.
Bronisław Ceranka, Małgorzata Graczyk
doaj +1 more source
Relations between regular A-optimal chemical and spring balance weighing designs with diagonal covariance matrix of errors [PDF]
Biometrical Letters, 2013 Summary In this paper, we study the relationships between regular A-optimal spring balance weighing designs and regular A-optimal chemical balance weighing designs. We give the basic relation between these designs in the case where the errors are uncorrelated and they have different variances.
Bronisław Ceranka, Małgorzata Graczyk
openaire +1 more source
On certain A-optimal biased spring balance weighing designs
Statistics in Transition new series, 2014 In the paper, the estimation of unknown measurements of p objects in the experiment, according to the model of the spring balance weighing design, is discussed. The weighing design is called biased if the first column of the design matrix has elements equal to one only.
Bronisław Ceranka, Małgorzata Graczyk
openaire +1 more source
Spatially distributed water-balance and meteorological data from the Wolverton catchment, Sequoia National Park, California [PDF]
, 2018 Accurate water-balance measurements in the seasonal, snow-dominated Sierra Nevada are important for forest and downstream water management. However, few sites in the southern Sierra offer detailed records of the spatial and temporal patterns of snowpack ...
E. M. Stacy +6 more
core +4 more sources
Estimating body composition in adolescent sprint athletes : comparison of different methods in a 3 years longitudinal design [PDF]
, 2015 A recommended field method to assess body composition in adolescent sprint athletes is currently lacking. Existing methods developed for non-athletic adolescents were not longitudinally validated and do not take maturation status into account.
A Pietrobelli +22 more
core +8 more sources