# 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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### Approximate p-values for Relative Risk Reduction

I am working on a problem in which I compare the probability of infection within a region before treatment, and again after 5 years of Mass Drug Administration (MDA). Below describes the sampling ...
1 vote
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### Fitting a regression model on bounded data

Typically, in a regression equation, the dependent variable is unbounded i.e. follows normal distribution. But sometimes it may happen that dependent variable is bounded i.e. dependent variable is ...
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### Unsure about the interpretation of prevalence ratios

I have a question about the interpretation of prevalence ratios. Assuming we have the following prevalences (I use R syntax): ...
1 vote
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### Confidence interval for a rate ratio

My question is easy, but I really got stuck here ... Say I have 500 people, among them, 200 likes eating ice cream. Among these 200, 60 likes strawberry ice cream. So the rate ratio of ice cream vs ...
1 vote
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### Should you include the ratio of two variables in survival analysis?

Suppose I have the following (Rossi recidivism) dataset: ...
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### 95 % CI for ratio of variables subject to measurement imprecision

An instrument used for measurements has a known measurement imprecision of $CV = 10 \%$. Thus, if the variable to be measured has a true value $x_{true}$, the range of possible measured values will be ...
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### $\mathbb{E} \left[ \frac{X}{c + X} \right]$ for known constant $c > 0$?

In general, describing expectations of ratios of random variables can be tricky. I have a ratio of random variables, but thankfully, it's nicely behaved due to known structure. Specifically, I have a ...
39 views

### Calculate power-effect size relationship for difference in difference of proportions

I am trying to conduct power calculations for a "Before-After-Control-Impact" type of study focused on public opinion variables. Ideally, I want to look at the relationship between effect ...
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### Estimate minimum sample size for a rolling time-serie percentage

I have to calculate the conversion rate for a web page, defined as CVR = orders / clicks This is an e-commerce web page, so clicks arrives to the web page ...
135 views

### Distribution of the ratio of two related chi-square variates

Suppose a binormal population $X_1, X_2 \sim \mathcal{N}(0,\Sigma)$ where $\Sigma$ is obtained from $\sigma^2$ the variance of each item, assumed equal, and $\rho$, the correlation between pairs. We ...
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### Comparing ratios with more than than two numbers

I have a specific reference ratio such as 1:2:1 against which I want to compare other ratios. I'd like to know how to rank test ratios like those below in order of how close they are to the reference ...
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### Calculating a 95% confidence interval without the original dataset

I have been asked to calculate a 95% confidence interval based on the following paper: https://www.nber.org/system/files/working_papers/w26107/w26107.pdf The question reads: Suppose rainfall in the ...
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### Best way to code ratio of two skewed, heavy-tailed continuous variables with zero values present in denominator?

I'm modeling the ratio of total medical cost in one 12 month period and the subsequent 12 month period (total_medical_cost_ratio = post_total_medical_cost/pre_total_medical_cost). The data is skewed, ...
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### Forecasting of ratios that need to addup to 100% [duplicate]

I intend to forecast 'shares' or ratios independently that need to add up to 100% . How can I do this especially when there are >2 ratios to predict. e.g. share of mdot, share of desktop and sahre ...
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### Confidence interval of sum of voting percentages in a poll

I've been looking at wikipedia poll data results for the incoming french presidential election (https://fr.wikipedia.org/wiki/Liste_de_sondages_sur_l%27%C3%A9lection_pr%C3%A9sidentielle_fran%C3%...
1 vote
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### Correlations with Ratios

I've been running an analysis whereby I've been creating ratios of two variables (e.g. A/B) and then correlating them to a third variable (variable C). These correlations have proved to be quite ...
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### If an attribute has ranges as its possible values, is that attribute a numerical attribute or a categorical (ordinal categorical) attribute

For example if I ask for someone's age, but instead of them being able to enter any natural number their responses are cropped and saved into bins such as "1-10" and "11-20" etc. ...
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### What is the distribution of the ratio of two independent variables, each subject to Rayleigh distribution with different standard deviation?

I am trying to find what is the distribution of the ratio of two independent Rayleigh random variables, each of which has different standard deviation.
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### How to perform inverse ratio transformation?

This is partly a "how to" question and partly "is this correct". I have a variable that is the ratio of two variables (ratio=a/b). Similar to as shown below in R: ...
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### emmeans - joint effects of interaction terms

I would like to see the joint effects of an interaction term. I tried joint_tests() but it gives f ratios. However, I would prefer Incidence Rate Ratios (IRR) because the rest of my results section ...