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Results tagged with mathematical-statistics
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user 141356
Mathematical theory of statistics, concerned with formal definitions and general results.
3
votes
Hypothetical question about dispersion
There is no one measure of how much a variable is "dispersed". Instead there are many, some of them being range, interquantile range, standard deviation, mean absolute deviation, Gini's mean differenc …
- 5,130
2
votes
What is the difference between `A*B*C` and `A*B + A*C` interaction when running a linear reg...
Hour*Moon + Hour*Human is fine, it includes the three varibles plus the two interaction terms you are interested to, for a total of five regressors. I'm assuming you are using R notation.
Mind that Ho …
- 5,130
1
vote
How to identify the most impactful features in a ML model, i.e. the predictor variables that...
What you want is actually feature importance. The method scikit-learn uses for evaluating it is pretty basic: it sums up the training score gain of all the splits made in all trees using each variable …
- 5,130
0
votes
Accepted
Sum of Square Error
No, actually it's very easy. you should compare the formula of $s^2$ (only $s$ is given in your exercize) to the one of SSE.
The solution is:
In your text it is reported rounded to unit.
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0
votes
Variance around true value, not mean
yes you can, if you do you may use the whole sample size as the denominator (n instead of n-1, as you aren't using any degree of freedom for estimating the mean), however, you may get a bad result if …
- 5,130
1
vote
Proving that as N increases, it is more likely that x - y > z, with x \in X, y \in Y, z \in Z
Given a sequence of independent events $A_i$ each of them has probability $p > 0$, the probability of having at least one event $A_i$ happening for $i \le n$, is $1-(1-p)^n$ which is always increasing …
- 5,130
2
votes
Proving that logistic regression on $I(X>c)$ by $X$ itself recovers decision boundary $c$ wh...
Indipendently on the distribution of $X$, if $C$ is computed in that deterministic way, estimation won't converge because there is no couple of parameters $\beta$ for which likelihood is maximized.
…
- 5,130
36
votes
Famous statistical wins and horror stories for teaching purposes
R vs Sally Clark is a famous case of a woman being convicted for murder because the court was unaware of statistics and probability base principles.
But if I have to say the thing that impressed me th …
3
votes
Accepted
Bayesian lognormal model: how to correctly back-transform the estimates?
The effect size of a log-normal model has not a univoque value on the same scale of y, because of the log-relation between $\mu$ and the position of the log-normal distribution (its median, its mean). …
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