Top new questions this week:
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When calculating the median for an even number of samples, we sort the samples and take the arithmetic mean of the two in the middle. This seems quite arbitrary – it assumes the best way to …
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I know that it is generally accepted that the two-sided test is the “Gold Standard”. However, I just wanted to see if there are real life, practical applications of the one-sided test in the …
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Sorry if this question is this community’s equivalent of asking a chef how to boil water, but if you had a data set that consists of: [A±a, B±b, C±c, …, N±n], where each value has a corresponding …
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I have a very simple logistic model with a single continuous independent variable and a two-category dependent variable. When I mean-center the IV, the p-value of the coefficient changes significantly,…
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I’ve tried many different models from Linear to non-linear and flexible models like random forest to solve a regression problem. But all of them apparently overestimate the lower values of the …
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As I understand it from Wikipedia, de Finetti’s theorem says: “Exchangeability implies that variables are conditionally independent given some latent variable”. Is the converse true as well?
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I have executed an analysis using the novel approach developed by Imai et al. (2021) that allows for the execution of matching/weighting techniques when using panel data. I was planning on running …
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Greatest hits from previous weeks:
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Many machine learning classifiers (e.g. support vector machines) allow one to specify a kernel. What would be an intuitive way of explaining what a kernel is? One aspect I have been thinking of is …
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Are multiple and multivariate regression really different? What is a variate anyways?
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I found two questions here and here about this issue but there is no obvious answer or explanation yet.I enforce the same problem where the validation error is less than training error in my …
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I get this question frequently enough in my statistics consulting work, that I thought I’d post it here. I have an answer, which is posted below, but I was keen to hear what others have to say. …
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The help pages in R assume I know what those numbers mean, but I don’t. I’m trying to really intuitively understand every number here. I will just post the output and comment on what I found out. …
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In the definition of standard deviation, why do we have to square the difference from the mean to get the mean (E) and take the square root back at the end? Can’t we just simply take the absolute …
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In the text book “New Comprehensive Mathematics for O Level” by Greer (1983), I see averaged deviation calculated like this: Sum up absolute differences between single values and the mean. Then …
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Can you answer these questions?
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I wonder if it is valid to perform a statistical test on t-values or z-scores. For instance, if one gets two groups of t-values, every t-value is generated from an individual t-test and the value …
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It’s known that maximizing the log-likelihood is equivalent to minimizing the Kullback-Leibler divergence between the model $q(x \mid \theta)$ and the unknown true data generating distribution $p(x)$: …
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I would like to compare two samples with the watson’s two sample test in R (circular data). As I have a lot of ties in my samples, I followed the example given in the book from Zar (Biostatistical …
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