Top new questions this week:
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Consider the problem of estimating a random variable $Y$ using another random variable $X$. The best estimator of $Y$ by a function of $X$ is the conditional expectation $E[Y|X]$. It minimizes the …
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I read an article saying that “all parametric tests make an assumption of normality”, which I know to be incorrect, since technically a parametric test could be done for any distribution, …
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I had a slightly basic question about variables (particularly in statistics). We would say that “height” is a variable. In my mind, “height” does not just represent different values, like 2, 45, or 75….
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I have a dataset where a predictor can have 2 states – if it’s in state 1, then the value is always the same. If it’s in state 2, then the value is continuous and changes. An example to this can be …
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I’ve been running some analysis using morphological data. However, when I run a PCA, PC1 explains more than 90% of variance. I’m not sure if this is possible. If not, what should I need to do?
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Within a scatterplot of two continuous variables. I am looking for a statistical method to determine if a 3rd variable that has a limited number of categories/groups (3-8) is able to produce visually …
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The data I am dealing with are groups of counts, $n_i, i=1..K$. More than a half of these counts are zeros. The null hypothesis is that all the counts come from the same distribution, e.g., Poisson …
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Greatest hits from previous weeks:
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In a group of students, there are 2 out of 18 that are left-handed. Find the posterior distribution of left-handed students in the population assuming uninformative prior. Summarize the results. …
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I am training a simple neural network on the CIFAR10 dataset. After some time, validation loss started to increase, whereas validation accuracy is also increasing. The test loss and test accuracy …
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My understanding was that descriptive statistics quantitatively described features of a data sample, while inferential statistics made inferences about the populations from which samples were drawn. …
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What is the difference between Logit and Probit model? I’m more interested here in knowing when to use logistic regression, and when to use Probit. If there is any literature which defines it using …
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Fitting a logistic regression using lme4 ends with Error in mer_finalize(ans) : Downdated X’X is not positive definite. A likely cause of this error is …
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What is the difference between the three terms below? percentile quantile quartile
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When training a neural network, what difference does it make to set: batch size to $a$ and number of iterations to $b$ vs. batch size to $c$ and number of iterations to $d$ where $ ab = cd $? To …
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Can you answer these questions?
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I have a long sequence of pitches, coded in terms of interval sizes. I’ve plotted the transition matrix for interval bigrams, to show whether intervals of a given size are more likely followed by …
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Let $x_0 \sim N(\mu_{x_0},\Sigma_{x_0})$, where $\mu_{x_0} \in \mathbb R^n$ and $\Sigma_{x_0} \in \mathbb R^{n \times n}$. Then, let $$ y_0 = Cx_0 + v_0 $$ where $C \in \mathbb R^{n \times n}, v_0 \…
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Question: Consider a regression model $Y=m(X)+\epsilon$ for which $\epsilon$ is neither independent of $x$ nor identically distributed. How would we go about generating prediction intervals in such a …
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