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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What is the pdf of the integral of a gaussian process and of the ratio of two gaussian variables?

I need to evaluate the moment functions of a zero mean gaussian process that constitutes the mathematical model of the seismic ground acceleration during an earthquake.
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Poisson regressions in ratio: why is the counterpart not significant?

I am not a statistician and have limited knowledge about the underlying mathematics behind models but I am curious about something I found. I have count data, something like this: out of 150 words in ...
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Comparing ratios of independent means by calculating SE difference – applicable?

I am conducting a study comparing the ratio of a mean number of vocalizations to the mean number of individuals across three treatments. For each treatment, I have the mean number of vocalizations (...
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What weight to use for using NAMCS and NHAMCS together?

I am interested in analyzing the total prescription of aspirin in NAMCS and NHAMCS (https://www.cdc.gov/nchs/ahcd/index.htm) during a given year for all visits. NAMCS and NHAMCS each had a weight and ...
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How to construct confidence intervals for difference of means in logs

I have estimated an OLS model and a Negative binomial model of ln housing search (ln S) per unit (for instance, the average number of visitors per house or bidders per house) as a function of ...
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Ratio of Normal Distributions [duplicate]

Suppose I have two independent random variables, $X \sim N(\mu_1,\sigma_1^2)$ and $Y \sim N(\mu_2,\sigma_2^2)$ with $\mu_1,\mu_2 > 0$. How can I compute/estimate $$ \mathbb{E}\left[\left\lvert \...
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Converting Risk Ratios to Odds Ratio in case-crossover trial for meta-analysis

I am doing a meta-analyss of case crossover & time series studies. so the problem is some studies have reported the RRs, & I need ORs. The data I have is not enough which is -Total sample size ...
Abdullah Akram's user avatar
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Does taking the ratio of Empirical Distributions (histogram bins) show their differences?

Background I have two Empirical distributions, both derived from social media data. The first represents a broad sample of ~4.8 million posts and the number of followers each post author has. The ...
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How do I take this ratio of two means, then normalize according to another mean while maintaining a correct measure of spread?

I have been trying to figure out how to correctly calculate the standard deviation for the ratio of two protein expressions as measured by ELISA, so that I may then run a hypothesis test, similar to ...
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Confidence interval of a relative difference

I know the size, empirical mean and empirical variance of two samples $X_1$ and $X_2$, but I don't know the values. How can I calculate the bounds of a confidence interval of the relative difference ...
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Reweighting hazard ratios

Assume I have two populations (pop 1 and pop 2). I also have three treatments (A, B, C). In population 1, I have $HR_{A vs B}$ In population 2, I have $HR_{A vs B}$ and $HR_{C vs B}$ When I want to ...
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Expectation and Variance of two sets

In genomics, you have an input control (I) and a treatment (T) where then you determine the ratio T/I. You perform multiple replicates for each but the number of replicates is not always the same. ...
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Tests for comparing ratio data from independent samples

The data are from an international study comparing participants' perceptions of how much more corporate CEOs make compared to unskilled workers (median ratios are used because mean ratios did not pass ...
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Testing change in ratios

I do not know how to perform this statistical test. I have a proportion of a bodily liquid substance, and I am interested in the ratio with respect to another. For instance, ratio of water (20l) and ...
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What would be the most appropriate distance metric for percentage/ratio data?

I have a matrix where each row is an observation (i), each column is a feature (j), and each value is the ratio the feature j is complete in observation i. That is, the values are floats that range ...
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Contribution of a single value in a Division of Sums

I need to isolate contribution of a single entity in a Division of Sums as shown below. For example, find the contribution of variable a in the following: (a 1 + b ...
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Relationship between Ratio of expectation squared vs ratio of squared expection

I have these pair of numbers $ (a, b) = (\frac{4}{9}, \frac{1}{9}) $ and $(c, d) = (\frac{1}{2}, \frac{1}{6}) $. Note that - (a, b) are pair of numbers which represent $((E(e_1))^2, (E(e_2))^2) $ and (...
Elina Gilbert's user avatar
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Estimating ratio of regression coefficients

What is the best method of estimating a ratio of regression coefficients $\beta_1/\beta_2$ under the usual assumptions / in practice? I have two relatively well approximated signals $X_1, X_2$ and ...
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Convert β to odds ratio?

I would like to convert β-values into odds ratios. It is about table 1 on page 5 in the article „A revised inventory of Adverse Childhood Experiences“ https://www.semanticscholar.org/paper/A-revised-...
Daniel Germany's user avatar
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What is the variance on the ratio of dependent random variables

I have the data on thousands of emission lines such as the one shown in the figure below. A single emission line covers $N$ pixels (11 in this example). Because the data come from counting photons, $...
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Ratio of random variables and the expected ratio of the average

Suppose I have the following random variables $X_1, X_2, Y_1, Y_2$, their support is the natural numbers. $X_1$ and $Y_1$ as well as $X_2$ and $Y_2$ are not independent. I am given that $E(X_1/Y_1 ) \...
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How to choose theta θ thresholds for ocat family in mgcv package. (ordinal regression)

I have a dependent variable named "FGR" which represents a ratio and takes values between 0 and +Inf. The histogram plot below illustrates the distribution of FGR, excluding +Infinite values ...
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How to calculate the error on the ratio of a counting experiment?

In an experiment I repeat some task $n$ times and count how often the task completes successfully. This gives the number $m$. Therefore the success ratio is $$ r = \frac{m}{n} $$ To calculate the ...
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Confidence interval for ratio between two values without confidence intervals

I have two numeric variables (death rates), each without confidence intervals, and I want to calculate the CI of the ratio between the two values. I was using the MOVERR method developed by Donner &...
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Weighed average (percentage) depending on the number of facilities in each given region

I have 10 regions with facilities (different number of facilities in each region) that test people for presence of condition A. However, there are also facilities, that were included in the pilot ...
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Regression Model for a Ratio Outcome with Count Variables as Numerator and Denominator

I have a dataset where each row corresponds to a country and contains independent variables such as "per capita income" and "mean education status." Additionally, there are two ...
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Relate ratios to sample size

suppose to have the following situation: you have a total number of deaths equal to 120. Of them, 20 individuals had cancer. The ratio is 20/120 = 0.16. The total individuals with cancer was 320. How ...
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The mean of ratios as a regression or MLE

I have some data that looks like: $x_i$ $y_i$ 10 20 11 21 12 25 1000 2001 The current method for forecasting an unseen $y'$ based on a known $x'$ is to estimate it as: $$\hat y' = \frac{1}{n} \...
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How can I execute power analysis for a ratio metric?

I've looked into the Delta method and it looks tedious. I understand the computational performance gain to help when the dataset is quite large. I only have 200 individuals contributing data, so I ...
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How to calculate SD, SEM, IC95 of a ratio?

I feel like this question has been asked a billion times but none of the answers I read seem to fit my situation, so sorry if it's redundant and I missed it ! Here's my situation : I have 2 non-paired ...
Yo Pomdpin's user avatar
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Necessary to transform ratios for ANOVA and T-Test?

I am using ANOVA and T-Test to compare wheat grain characteristics between states, agroecological zones, soils, etc. Most of this data is grain mineral concentrations but some of it is ratios ...
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Should the odds ratio be used to judge incremental information in psychological scales?

I am looking at the incremental validity of the MMPI-A-RF (a psychological instrument) and MACI (another psychological instrument) in the prediction of the DSM code for depression disorders found in ...
Madison Smart-McCarthy's user avatar
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Rationale about the difference between logarithms quocient and ratio? Fold-change?

Following this post I was wondering how to plot or even communicate gene expression using relative quantification, meaning through transformation of cycle threshold values. In my particular experiment,...
Javier Hernando's user avatar
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Calculating mean and estimating variance of ratios

I am a biologist with very limited statistics/mathematics background who frequently encounters the same problem when trying to analyse a specific type of data, but would like to finally begin to ...
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Distribution of the ratio of Dirichlet/Gamma variates

It can be seen that the following random variates have the same distribution: $\frac{X_1 + X_3}{X_2 + X_3}$, where $(X_1, X_2, X_3) \sim \text{Dirichlet} (\alpha_1, \alpha_2, \alpha_3)$ $\frac{Y_1 + ...
Valentin Waeselynck's user avatar
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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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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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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 ...
j.rahilly's user avatar
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For semi-supervised learning, is more pseudolabels always better than less pseudolabels?

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 ...
Sanger Steel's user avatar
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Should the variable of interest always be placed in the numerator when creating predictive ratios?

Background: I do research in medical imaging. In a current study I am analyzing a measured variable from images that may predict prognosis/survival. Studies of potential imaging survival predictors ...
Bent Larsen's user avatar
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Are ratios and percentages univariate or multivariate?

Edited I'm working on an anomaly detection project where I have a set of independent variables and dependent variables. As I have ratio and percentage data, I want to know how to document ratios and ...
oussama kiassi's user avatar
2 votes
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Use of ratio of means effect measure and estimation of variance from mean of ratios

I am running a meta-analysis where we are using the ratio of means (RoM) effect measure as the data we are using compare the two sides of the body (i.e. left and right). All RoM calculations are ...
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How to calculate the confidence interval around a ratio, when the margin of error is known for the two numbers

I've got this table from the U.S. Census Bureau's American Community Survey. The moe column contains the 90% C.I. ...
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Correct se for mean proportion in a survey with varying number of trials

I am analysing fishing surveys using the survey package. My PSU is the person and I want to obtain estimates of the proportion of successful fishing trips. Each person has a variable number of fishing ...
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Comparing distributions of ratios between two samples

I have a dataset structured something like this - obviously the numbers are exaggerated and I actually have hundreds of observations in each group. Group 1: Observation Number of specific items Total ...
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Interpreting Significant Interaction Term Odds/Hazard Ratio with Binary Variables

I am running a cox proportional hazards regression with Stata and am having trouble interpreting the interaction term between two binary categorical variables. For simplicity, here's a summary of the ...
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Ratio of Poisson to sum of Poisson

Let $X$ and $Y$ be independent random variables which follows Poisson distribution with rate $\lambda_1$ and $\lambda_2$ respectively. I would like to know and find (if it is possible) the ...
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