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The statistical power of replications in difference tests
Food Quality and Preference, 2003Abstract The binomial test with N = nk observations is frequently used when n assessors each perform k replicated difference tests, for instance triangle tests. The power of this test, until now completely unknown for k >1, is studied. Beta-binomial, generalized linear mixed and binomial mixture models are compared and shown to give similar ...
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Critical Replications for Statistical Design
1988While writing a new book [Wiley ’87] I found several distinct statistical problems, each with a separate solution, but all in need of a higher principle of justification. I looked in vain into statistics for a higher principle or criterion which we need to serve as a common foundation for those similar solutions.
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Statistical Significance and the Replication Crisis in the Social Sciences
2019The recent “replication crisis” in the social sciences has led to increased attention on what statistically significant results entail. There are many reasons for why false positive results may be published in the scientific literature, such as low statistical power and “researcher degrees of freedom” in the analysis (where researchers when testing a ...
Magnus Johannesson, Anna Dreber
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Statistics and replication experiments: Comparing interaction effects
Cognitive Therapy and Research, 1989A method is presented that allows the comparison and combination of interaction effects obtained in two or more experiments. Using an analysis of variance model, we first evaluated the interaction effects found in experiments conducted by Alloy and Abramson (1979, Experiment 2) and Bryson, Doan, and Pasquali (1984).
Victor A. Benassi, Robert F. Belli
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Statistical analysis of controlled calibration model with replicates
Journal of Statistical Computation and Simulation, 2013In this work, we generalize the controlled calibration model by assuming replication on both variables. Likelihood-based methodology is used to estimate the model parameters and the Fisher information matrix is used to construct confidence intervals for the unknown value of the regressor variable. Further, we study the local influence diagnostic method
Betsabé Blas +2 more
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Statistical Methods for Analyzing Microarray Feature Data with Replications
Journal of Computational Biology, 2003Expression levels in oligonucleotide microarray experiments depend on a potentially large number of factors, for example, treatment conditions, different probes, different arrays, and so on. To dissect the effects of these factors on expression levels, fixed-effects ANOVA methods have previously been proposed.
Josephine Hoh +6 more
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Statistical Significance and Replicability
Theory & Psychology, 1998Commentators agree with me that statistical significance does not betoken replicability, but not for the reasons I give. Chow (1998) defends the use of significance tests by arguing that they are useful for assessing the role of chance in findings. I dispute this by pointing out that the Type II error rate may be as high as 1 - ct. Falk (1998) defends
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Use of the Jackknife Statistic to Evaluate Result Replicability
The Journal of General Psychology, 1998Abstract Result replicability has often been confused with significance testing because of a misinformed view that statistical significance evaluates result importance and result replicability. Several alternatives, of which the jackknife statistic is one, provide researchers with the tools for estimating result replicability.
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Equivalence of the statistics for replicability and area under the ROC curve
British Journal of Mathematical and Statistical Psychology, 2009Two statistics, one recent and one well known, are shown to be equivalent. The recent statistic, prep, gives the probability that the sign of an experimental effect is replicable by an experiment of equal power. That statistic is equivalent to the well‐known measure for the area under a receiver operating characteristic (ROC) curve for statistical ...
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Is psychology suffering from a replication crisis? What does "failure to replicate" really mean?
American Psychologist, 2015S. Maxwell, M. Y. Lau, G. Howard
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