# All Questions

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### How to calculate Area Under the Curve (AUC), or the c-statistic, by hand

I am interested in calculating area under the curve (AUC), or the c-statistic, by hand for a binary logistic regression model. For example, in the validation dataset, I have the true value for the ...
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### Alternative notions to that of proper scoring rules, and using scoring rules to evaluate models

A scoring rule is a means of evaluating an agent's guess of the probabilities associated with a categorical event, given a (categorical) outcome of the event. Depending on the guess and the observed ...
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### What will be the estimator for these parameters

Question: $y_0 = z^d$ is computed from the sum of some recordings by a sensor. Let, there be $k$ sensor nodes. This parameter is calculated by each sensor node and then transmitted to the base ...
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### Relationship between hazard function and survival function in the presence of censoring

In survival analysis there is a relationship between the survival function, $S(t)$ and the hazard function, $h(t)$, in that $$h(t) = -\frac{d}{dt} \log S(t)~~~~~~~~~(1)$$ from which we can form the ...
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### Poisson Hypothesis Testing for Two Parameters

So, for fun, I am taking some of the data of calls from the call center I work at and trying to do some hypothesis testing on them, specifically the number of calls received in a week, and using a ...
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### How can I use this data to calibrate markers with different levels of generosity in grading student papers?

12 teachers are teaching 600 students. The 12 cohorts taught by these teachers range in size from 40 to 90 students, and we expect systematic differences between the cohorts, as graduate students were ...
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### Empirical distribution function of overlapping time series data

If we model asset returns for periods of more than one (say more than one day) there is the square-root rule which holds true under some assumptions. On the other hand practitioners sometimes use ...
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### Alternative to an ANOVA

I'm currently attempting to run statistical analysis on data from an experiment but have encountered an issue. The number of participants is very low (8 in total) and there are 27 conditions after ...
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### Bayesian meta analysis: implementation in BUGS/JAGS/STAN

I would like to conduct a meta analysis in order to collate the information from a number of studies. The parameter of interest is a probability $\theta$. In each of the studies, the observed data ...