Research and statistical analysis help us understand how the world works, how effective medications and treatments are, what influences our health, the best approach for business practices, and much ...
Hypothesis testing problems in which the null hypothesis is simple, the parameter space is finite dimensional and the supports of the probability measures are independent of the parameter are ...
Should you believe the findings of scientific studies? Amid current concerns about the public’s trust in science, old ...
Objection: Natural variability is the null hypothesis; there must be compelling evidence of an anthropogenic CO2 warming effect before we take it seriously. Answer: The null hypothesis is a ...
The control group provides an unbiased test of the null hypothesis, which predicts what to expect if our ideas of how nature works are wrong. It could be argued that it is therefore an ethical ...
In applied research, an effect size is specified in advance and defines a threshold for decision-making. Power analyses of a specific desired effect size may then be carried out before an experiment ...
In this paper we propose a new class of statistics to test a simple hypothesis against a family of alternatives characterized by a mixture model. Unlike the likelihood ratio statistic, whose large ...
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