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We also believe that an evaluation of epidemiologic findings based on a balanced weighing of potentials for false-positive and false-negative biases along with other considerations of strengths and weaknesses within the framework of all other pertinent scientific evidence can and does produce valid scientific knowledge essential to public health actions and to advancement of science.
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To construct the A-optimal chemical balance weighing design the incidence matrices of the balanced bipartite weighing designs are used.
Like any attempt to strike a balance, weighing free expression against protection of reputation is art as much as science.
Presidents considering whether to invoke the privilege have had to do their own balancing: weighing the value of maintaining the principle against the political costs of appearing to be hiding something.
These designs correspond to chemical balance weighing designs or to three-level factorial designs.
In the paper, the investigation of the A-optimal spring balance weighing design are dealt with under the assumption of normality of errors.
Necessary and sufficient conditions determining D-optimality of chemical balance weighing design with three objects are proved under first-order autoregressive errors with negative autocorrelation.
The estimation problem of individual weights of objects in the chemical balance weighing design using the criterion of A-optimality is studied.
The problem studied in the paper concerns the estimation of individual weights of p objects according to the model of an A-optimal chemical balance weighing design with a positive definite diagonal variance matrix of errors under the restriction p1+p2= q⩽p, where p1 and p2 represent the numbers of objects placed on the left and on the right pan, respectively, in each of the measurement operations.
To assist them in this task, each elder was provided a platform balance weighing scale and a mobile phone.
All measurements were made using new spring balance weighing scales with bowl bags standardized with a 10 kg weight.
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