The generalisation of student's problems when several different population variances are involved.
By B. L. Welch. 1947
How researchers see this paper
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- Yoshua Bengio
- Dacheng Tao
- Trevor Darrell
- Luc Van Gool
- Andrea Vedaldi
- Yi Yang
- Kristen Grauman
- Sergey Levine
Citations in the corpus
- Evaluating the Search Phase of Neural Architecture Search (2019, methodology): “Since the mean performance for randomlysampled architectures converges to the mean performance over the entire search space, we further conducted Welch Student’s t-tests (Welch, 1947), which reveal that, in RNN space, ENAS and DARTS cannot be differentiated from the mean of entire search space, whil”
- SINCERA: A Pipeline for Single-Cell RNA-Seq Profiling Analysis (2015, methodology): “If the expression in the two groups can be assumed from two independent normal distributions, we use the onetailed Welch’s t-test [49], which is suitable for samples having unequal variances and different A Single-Cell RNA-Seq Analytic Pipeline”
- Continual State Representation Learning for Reinforcement Learning using Generative Replay (2018, methodology): “We use Welch’s t-test (Welch, 1947) to test the hypothesisH0 that two means x1, x2 of randomly sampled VAE reconstruction errors have equal mean.”
- A comparative review of statistical methods for discovering differentially expressed genes in replicated microarray experiments (2002, methodology): “This t -test was proposed by Welch (1947).”
- Multifaceted protein–protein interaction prediction based on Siamese residual RCNN (2019, methodology): “Based on the reported accuracy over 5-folds, we also conduct two-tailed Welch’s t-tests (Welch, 1947) to evaluate the significance of the improvement on different pairs of approaches.”
- Can Machines Learn to Predict Weather? Using Deep Learning to Predict Gridded 500‐hPa Geopotential Height From Historical Weather Data (2019, methodology): “As in many machine learning problems, layer is statistically significant at the 99% confidence level when the ensemble means from the ‘ τ LSTM’ and the ‘ τ ’ variants are compared using Welch’s unequal variance t -test (Welch, 1947).”
- Standardized Assessment of Automatic Segmentation of White Matter Hyperintensities; Results of the WMH Segmentation Challenge (2019, methodology): “Tests for age and volumes were performed using Welch’s unequal variances t-test [64].”
- A Simple Two-Sample Test in High Dimensions Based on L2-Norm (2020, unknown): “S) χ2-approximation (Satterthwaite 1946; Welch 1947).”
- T test as a parametric statistic (2015, methodology): “However, this statistics has different degree of freedom which was calculated by the Welch-Satterthwaite [3,4] equation.”
- Robust Standard Errors in Small Samples: Some Practical Advice (2016, unknown): “One of the most attractive proposals for the Behrens-Fisher problem is due to Welch (1951).”
- Teaching Multiple Concepts to a Forgetful Learner (2018, methodology): “The second row (p-value) indicates the statistical significance of the results measured by the two-tailed p-values of Welch’s t-tests [36], when comparing GR with the baselines.”
- Emotional Speech Synthesis with Rich and Granularized Control (2019, methodology): “Because a p-value computed by Welch’s t-test [25] which takes the null hypothesis that both groups have equal means is bigger than 0.”
- Does language help generalization in vision models? (2021, background): “which is the norm of the unequal variance t-test [27]: this allows us to normalize the distances between class centroids with respect to their variance.”
- 9) TM4 Microarray Software Suite (2006, unknown): “MeV provides three t test (Dudoit et al., 2000; Korn, et al., 2001, 2004; Pan, 2002; Welch, 1947; Zar, 1999) designs: one sample, between subjects, and paired.”
- American Gut: an Open Platform for Citizen Science Microbiome Research (2018, methodology): “Continuous and categorical covariates were compared with a 545 Welch’s T test (73).”