Top new questions this week:
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This is a follow-up to my previous question: “Basic understanding of control variables in observational studies” I have understood the answer, but am still trying to figure out what I think …
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I saw the following statement in this paper and wanted to understand its meaning:
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Recently, I have been reading about how Confidence Intervals in the Frequentist setting are often misinterpreted (e.g. The importance of a correct interpretation of a confidence interval). Supposedly, …
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My goal is to understand which variables out of 10 actually explain my dependent variable for a voter/election research. Now I have put all 10 variables into a multiple regression and have filtered …
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These are the linear regression assumptions: Linearity: The relationship between X and the mean of Y is linear. Homoscedasticity: The variance of residual is the same for any value of X. Independence:…
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Consider the random variables $Y,X$. Can we always write $$ Y=E(Y|X)+\epsilon\tag 1 $$ with $\epsilon$ independent of $X$? Note: from this answer here, we know that we can always write (1) with $E(\…
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What is the difference between i) random variables, ii) distributions of random variables, and iii) random samples? While trying to figure out how to average random samples from various random …
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Greatest hits from previous weeks:
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I understand that a stationary time series is one whose mean and variance is constant over time. Can someone please explain why we have to make sure our data set is stationary before we can run …
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I’m training a neural network but the training loss doesn’t decrease. How can I fix this? I’m not asking about overfitting or regularization. I’m asking about how to solve the problem where my …
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What is the difference between a consistent estimator and an unbiased estimator? The precise technical definitions of these terms are fairly complicated, and it’s difficult to get an intuitive feel …
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Am I looking for a better behaved distribution for the independent variable in question, or to reduce the effect of outliers, or something else?
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…assuming that I’m able to augment their knowledge about variance in an intuitive fashion ( Understanding “variance” intuitively ) or by saying: It’s the average distance of the data …
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In some literature, I have read that a regression with multiple explanatory variables, if in different units, needed to be standardized. (Standardizing consists in subtracting the mean and dividing …
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In today’s pattern recognition class my professor talked about PCA, eigenvectors and eigenvalues. I understood the mathematics of it. If I’m asked to find eigenvalues etc. I’ll do it correctly like …
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Can you answer these questions?
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The UK have an initiative called Premium Bonds. You can buy a £1 bond, and each month there is a 1 in 24,000 chance of winning a cash prize from that bond. The number of prizes given per month for …
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I have a dataset with missing values that I’m trying to impute thanks to MissForest algorithm using python missingpy library. To my understanding, I should keep in the inputs even columns with no …
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If we observe i.i.d. samples drawn from a distribution and plot the empirical CDF, the DKW Inequality provides a bound on the error between the empirical CDF and the true CDF. I decided to double-…
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