# Questions tagged [proportion]

A proportion is the fraction of some total that is of a particular kind, either (i) as a count of one type of thing out of a total count, or (ii) as a component of a continuous variable.

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### Can a “proportionality” metric designed for compositional data analysis be used for non-compositional representations of the data?

I have been diving deep into compositional data analysis. Here is a great thread containing a conversation with Thomas Quinn, who is pushing this type of research in microbiology, about some ...
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### Performance measures for modelling proportions

Suppose that for each of $k$ individuals, I have a vector of covariates $x_i$, a total number of 'attempts' $n_i$ and a total number of 'successes' $y_i$. I model each individual's success ...
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### Choosing a regression model for proportion data at the school level

I am working on a dataset where I have the percentage of students who passed at a test for each 189 schools in my sample. The data is aggregated, so I have the total number of student who sat the test ...
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### percentage difference between two group when one group contains only positive cases

I have two groups $i=1,2$, with different total cases $n_1$ and $n_2$ on which the number of positive cases is $x_1<n_1$ and $x_2=n_2$. So there is no variability in the second group. I wonder how ...
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### Hypothesis test involving proportion of proportions

I have 100 different coins, each with probability $p_i$ of being heads - but these $p_i$s are unknown. I flip each coin $n_i$ times, and see that it lands on heads $x_i$ times. So the proportion of ...
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### What's the standard error of a proportion where there are multiple groups?

If I have a sample with groups x, y, z, where there are 300 of x, 600 of y, and ...
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### What are the assumptions for estimating a confidence interval through bootstrapping?

Context I created a rule based classification model for flagging emails about a certain topic. The process for creating that model, was to look at contents and flagging the email if certain terms are ...
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### Missing data for Table One: baseline characteristics and demographics

Many observational studies and clinical trials have what they often called a 'Table One'. This table compares the baseline characteristics/demographic variables of one or two study groups (i.e. ...
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### Combining proportion estimates from mice, and estimating confidence intervals

I am familiar with Rubins rules for combining results from multiple impuations to get a regression estimate and variance. I was wondering, when estimating a proportion bound from 0 to 1 from multiply ...
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### Please help me win my argument! What is an appropriate statistical test to use on Proportional Data?

I recently got into a debate with a friend of mine because I claimed that the 9th circuit court tends to have its rulings overturned at a greater rate than other courts (this is about statistics trust ...
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### (Non-Conservative) Population Proportion Confidence Interval Solution Help Please

I'm trying to solve this problem for an online practice exam, I can't come up with the same answer as the options given and I'm trying to understand what I'm doing wrong. The question is asking for ...
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### How to do statistical test for the difference between two very small proportions?

I have a typical A/B test setup where I have a control and treatment sample of equal size with very small success proportions. An example could be the following data with a sample size of 505000, ...
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### 2-stage selection model with censoring: Heckman selection model with second stage censoring

I am seeking to get some insights on the application of two-part Tobit-type models to a distribution with potentially selection (from 0 into +ve) and upper truncation (censoring of data at 100%). ...
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### Another question regarding population proportion:

Here is the link to another question that I asked recently: The answer to my previous question very clearly proves that $\frac{P_sQ_s}{n-1}$ is the unbiased estimator of Var$\left(\frac{X}{n}\right)=$...
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### What test is appropriate test for confidence interval for proportion sample (R test)

Seeking appropriate R test approach for small sample. Given 160 units randomly sampled, 140 met the requirements approved living quarters by county standards. If we desire a 90% confidence interval ...
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### Comparing changes in a response variable over multiple proportions at different sites

Say you have a variable, like average house cost. You have values of this variable at multiple sites in a city, and want to see how it fluctuates with respect to surrounding business type proportions (...
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### T test not for proportion

Why do we use Z test for proportions and why not T test. I have found a similar question here but I am unable to get what the answer tries to convey. It would be of great help if anyone could explain ...
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### Statistical Test for Evolution of a Population Proportion?

The problem I am faced with is as follows - there is some population proportion $p$ of people with a certain characteristic that is evolving over time. We take new samples every day (without ...
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### Change in proportion across time

It's the first time I'm posting here, and I apologize in advance if the same question has been answered previously. I am working with data of proportions, and I want to know how that proportion ...
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### What statistical test to use to compare proportions?

I have surveyed people and for each one, for each season, have if they put out bird food consistently, inconsistently, or not at all. I'm interested in knowing does the proportion of people putting ...
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### Why is the suggested sample size much larger than what's necessary for significance?

Imagine you're doing an A/B-test in Marketing. You send a control group the standard e-mail, and a test group an e-mail in which one element was changed (for example the color of a button). You want ...
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### How do you combine confidence intervals for antibody test estimates?

I would like to know how to combine the uncertainty related to the false positive rate of an antibody test with uncertainty due to sampling. As an example, let's use the recent New York State estimate ...
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### Test of proportion between two groups

I'm trying to compare two groups of ranked lists (of genes) by test of proportion. As shown in the mosaic plot and the data, there is a gene of interest which divides each list into genes ranked above ...
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### Ratios and proportions as predictors [duplicate]

I am interested in modeling a continuous variable (e.g., second language learners' English proficiency measured in TOEFL scores) as a function of a number of predictors some of which are continuous ...
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### Hypothesis test comparing groups where each measurement is a proportion?

I have data where there are 2 groups, 100 measurements per group and each measurement is a proportion (or number out of 1000) and I want to test for a statistically significant difference between the ...
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### Which statistical test for two group proportions over two time periods? 100% sampling, capped membership. Independent groups over time

I'm comparing the number of male and female hires at a city in the 1980's to the number of male and female hires in the 1990's. I'm looking for whether the percentage of females increased ...
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### Can I test the difference between two chi square statistics for significance

I'm working on a (currently) hypothetical problem that relates to monitoring and evaluating people's participation in recycling. The test statistic is the participation rate (the proportion of ...
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### I have a proportion DV with true 0 and 1. Which mixed modelling approach (in R) is most recommend?ed?

Hope this isn't too much of a dumb question. I've been searching for a definitive answer, and now I've got choice paralysis. I have a proportional DV (accuracy) with true 0 and 1 values averaged for ...
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### Can you use an n-1 chi-squared test to analyse the difference of one result in a data set?

I am trying to establish if room colour influences how respondents interpret the 'mood' of that room. The sample size is relatively small. When applying a Pearson's chi-squared test across the data ...
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### how to plot different proportions (different sample sizes/different denominator) in a pie chart

I have 5 samples from Asia, Africa, Europe, Oceania and America of different sample sizes. I am looking for particular mutations in a gene in these samples and I got the following proportions ...
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### How should i treat an explanatory variable that is proportional data for simple linear regression odels?

I am trying to analyse home behavioural data from a field study in Madagascar based on a species of lemur. I hoped to investigate different behvaioural predictors of Day Path Length. These include ...
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### Estimating population proportions when resamplling

I'm learning statistics and thought this would be a good exercise with real incomplete data but I'm bit stuck. The following is an excerpt from the latest Australian COVID-19 Epidemiology Report, ...
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### Meta-analysis of proportions in Stata 16

I have recently upgraded by Stata to version 16, specifically because of the new Meta-analysis functionality. I have previously conducted a meta-analysis of study proportions using the 'metaprop" ...
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### Sample Proportion $\hat p$ versus $p$ as the probability of success in a Binomial Distribution

I'm new to hypothesis testing and I have a homework problem which says: " For a certain coin test, $H_0: P = 1/2$ against $H_1: P = 1/3$ can be retained where $P$ represents the probability of ...
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### How do you approximate the variance for arcsin of a proportion?

I want to calculate the variance of $$\sqrt{n}\arcsin \sqrt{P}$$ and I believe I'm supposed to use the Taylor approximation where $$\sqrt{n}\arcsin \sqrt{P} = Z,$$ where $$Z = g(P).$$ I'm a bit ...
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### Count data that has two peaks. How would I model this?

We did an experiment where people came in the lab and engaged in a helping task. They were told they could help with as many puzzles as they wanted to and a peer would finish them. The DV was the ...
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### Interpreting a confidence interval the right way

Let's say after studying my sample data, I reached the conclusion that I'm 95% sure that the confidence interval for $p$ (population proportion) is between 10.2 and ...
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### Hypothesis Testing - comparing two proportion increasement

is there any test for comparing two proportion increasement? I have 2 football teams (A and B) in times T0 and T1. For each team, I have 2 measures in time T0 and T1. Team A had special trainings and ...
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### Test if counts in two conditions are significantly different without knowing the population size

The data are counts of cell structures in different (independent) conditions. For N cells per condition, in which N is different for each condition and unknown, the total number of X and Y structures ...
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### Normality plot and shapiro test for repeated-measures ANOVA: near significant but not quite

I have a repeated-measures anova (Two-way), and I want to check for normality; my plots show this: ...
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### Which SE and SD formulae to use for proportional data?

I am interested in sex ratio variation. I have taken ~200 families and counted the numbers of males and females in each. Hence I have a 'population' sex ratio (one data point: the total numbers of ...
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### Is there a test for 2 proportions within the same sample?

I am wondering if there is a test for a difference for 2 proportions within the same sample. I know that Z for 2 proportions is correct if I have 2 independent samples and McNemar tests whether ...
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### Regression alternatives for proportional data that do not rely on the 0 - 1 interval

I'm currently analyzing data consisting of change in cognitive performance and how it is related with a physiological variable (enzymatic activity) in a group of people. As all people were assessed ...
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### One proportion test vs. two proportion test

Could someone help me understand which statistical test should be used to test for the statistical significance between these rates? Our group has implemented a new process change which has resulted ...
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### Forecast the proportion of a product

my question is the following: I have to forecast the proportion of the sales of a product. For example: For product 17503 there are four types of categories A, B, C and D. The total demand of the ...
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### How to check whether multiple proportions of factor in a sample is statistically significantly different?

I have a survey questionnaire data. For each question people can answer one of the five options, [Not Important at all (1) to Very important (5)] In my table I have ...
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### Where does the underlying statistical model for inference for a proportion come from?

Working through a textbook on statistical inference and looking at the introductory example of estimating a probability from a proportion. In the book it says that " the underlying statistical model ...
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### How to test significance between binary columns

I have data that looks like this: control = [0,0,1,0,1,1,0,1...] treatment-1= [1,0,0,0,1,1,0,1...] treatment-2= [1,1,1,1,1,1,0,1...] The experiment was whether or not a certain return policy (...