# Questions tagged [ratio]

the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. Mathematically the quotient of one amount by another amount.

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### Testing for significance where results are expressed as a ratio to an in group control

I originally asked this question in the biology stack exchange site, but realise that it might be more relevant here in the stats site: I have a large dataset that represents a library of yeast ...
55 views

### Monte Carlo simulations and Jensen’s inequality in cost-effectiveness analysis: point estimates vs. expected values of simulations

In cost-effectiveness analysis, we use a cost-effectiveness ratio: effect/cost. Because it is a ratio, calculating and representing uncertainty around it is not straightforward. We can use Monte Carlo ...
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### Ratio of Normal pdf to cdf

I want to show that $$\Bigl\lvert \frac{\phi(a)}{\Phi(a)} - \frac{\phi(b)}{\Phi(b)} \Bigr\rvert \leq |a-b|$$ where $\phi$ is the standard normal pdf, and $\Phi$ is the standard normal cdf.
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### Average of ratios - out of all possible combinations [closed]

I have a very dummy question :) I have two variables, $X$ and $Y$, observed independently. I want to know the estimate of ratio, $Z=X/Y$, using average of ratios. Can I calculate all possible ...
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### The distribution followed by the number obtained by dividing coefficient a1 by the other coefficients a2 in multiple regression

Given the following multiple regression model. $$y\sim N(a_0+a_1x_1+a_2x_2,\sigma)$$ where $y$ is the response variable, $N(\mu,\sigma)$ is the normal distribution following the mean as $\mu$ and ...
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### What statistics to use compare many (dependent) ratios

I'm trying to compare the cellular subpopulations of the thymus of transgenic mice. I identify the cells with flow cytometry, and I get results similar to this: Cell type Mouse strain 1 Mouse strain ...
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### Addressing Scaling Bias in Panel Data Analysis

I am running an (unbalanced) panel data analysis, where the dependent variable is, $fixed\ cost\ (per\ ha)$ for an agricultural firm $i$ in period $t$. The explanatory variables are the hectares per ...
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### How to test the difference between two adverse impact ratios?

Let's define the adverse impact ratio as the hiring rate of minority candidates divided by the hiring rate of white candidates. (So the adverse impact ratio is the ratio of two ratios.) I calculated ...
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### Computation of ratio with Dirichlet distribution

I would like to compute ratio of proportions coming from a Dirichlet distribution. My understanding is that each proportion should be treated as a random variable and therefore I should use Taylor ...
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1 vote
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### Permutation Test for mean ratio

I am given three vectors of length 11, that represent blood levels of a hormone measured after placebo, old and new treatment. ...
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### Removing Gaussian distribution from mixed ratio distribution

I have a dataset with many ratios gathered from a large group of individuals. Each ratio is between repeated measurements from the same individual. Ratios normalize the concentrations, which vary ...
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1 vote
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### Test of statistical significance for equality of two ratios rather than proportions

I have data from two sample surveys done on Maternal Mortality. At each survey, the number of live births and the number of maternal deaths have been recorded. I have calculated the Maternal Mortality ...
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### Expectation of ratio of 2 Normal(0,1) with one shifted [duplicate]

I have the following random variables $X$ ann $Y$ following respectively $N(0,b)$ and $N(0,c)$ $Z=\dfrac{(X+a)}{Y}$ with $a$ a real number. What's the expectation of Z, i.e $E(Z)$ ? UPDATE : sorry for ...
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### NAs in Ratio Data in addition to "real" zeros

I have created a ratio dataset - representing the number of rejections/total number of applications. There are some instances in which none of the applications will have been rejected, resulting in a ...
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Let's say I have a labeled dataset $L$ and unlabeled dataset $U$, where $U \gg L$. Suppose I focus on a subset of $U$ called $u$ and generate a subset of $u$ I'll call $u_L$ that consists of ...