# Tag Info

Accepted

### Palantir's Asian discrimination case: how were the probabilities computed?

I am going to reverse-engineer this from experience with discrimination cases. I can definitely establish where the values of "one in 741," etc, came from. However, so much information was lost in ...
• 326k

### Infinite upper confidence interval using Fisher exact test in R

There's a one-sided confidence interval because you asked for a one-sided test
• 39.9k

### Analysis of Danish mask study data by Nassim Nicholas Taleb (binomial GLM with complete separation)

Your 2-sided test implicitly allots exactly half of your 5% significance level to "masks are harmful" ($M_-$) and the other half to "masks are beneficial" ($M_+$). To a Bayesian ...
• 3,959

### G-test vs Pearson's $\chi^2$ test

They are asymptotically the same. They are just different ways of getting at the same idea. More specifically, Pearson's $\chi^2$ test is a score test, whereas the $G$-test is a likelihood ratio ...
Accepted

### Does Simpson's Paradox cover all instances of reversal from a hidden variable?

The paradox is that there exist 2x2x2 contingency tables (Agresti, Categorical Data Analysis) where the marginal association has a different direction from each conditional association [...] Am I ...
• 12.6k
Accepted

### Fisher's exact test - help understanding the p-value

The table tells you a great deal. Let's begin with the first rule of data analysis: draw a picture. ...
• 326k

• 326k
Accepted

• 326k

### I have an issue summarising highly skewed data in a table

Since the variable in question is discrete and with a limited range, I suggest considering a frequency table instead of focusing on single summaries. That is, attach to every value from 1 to 10, the ...
• 11.8k
Accepted

### Performing a Fisher test when the odds of the events not occurring are known to be very low when compared to the events occurring

Fisher's exact test makes no assumptions about the relative frequency of present vs absent, so having the high absence proportion does not contradict the assumptions of the test and therefore no ...
• 13.1k

### Why are the degrees of freedom for a chi-square test on a 2x2 contingency table always 1?

This is a much more complicated question that it might first seem, and there was a bitter disagreement between Fisher and Pearson on this question. With modern computing it is easy to demonstrate by ...
• 39.9k
Accepted

### Why are the degrees of freedom for a chi-square test on a 2x2 contingency table always 1?

As far as I know, degrees of freedom in Chi Square distribution are related to the number of classes a population can be classified minus the linear restrictions used to estimate the parameters. ...
• 307

At the left is your table and at the right is a generic $2\times 2$ table showing the counts $a$ through $d$, marginal subtotals, and total $n=a+b+c+d$. $$\begin{array}{r|rr|r} &\text{male} & ... • 326k 4 votes Accepted ### How to express cells of a 2x2 table in terms of phi coefficient and marginal probabilities We easily recognize every factor in the denominator of \phi, because a+b=1-\mu_R and a+c=1-\mu_C. Let's therefore start with a tiny simplification to avoid writing lots of square roots:$$\...
• 326k

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