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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How to properly explain a delta between 0.10 to 0.05 in proportions

Assuming I have proportions for clicks to impressions of 0.10 for p1 and 0.05 for p2. This is equivalent to 10% and 5% click through rate. One way is to say that p1 is 5% higher but can we even say ...
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Ratio Confidence Interval for Proportions

Wondering if Fieller's theorem is used for the 'ratio' value in the compare argument in ...
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Do confidence intervals make sense for win rates in sport?

Imagine we have 2 teams play 10 matches against each other with team A winning 6 of them I.e. 60%. In this setting do confidence intervals for the probability of winning make sense? On one hand I ...
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Dealing with a warning message from prop.test in R

I did a prop.test for my data and I got this warning message : ...
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Appropriate test for proportions data

I want to compare how my computation model performs to the experimental data. For the experimental data I have proportions of different type of cells like the below table - Cell Type Proportion Type ...
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confidence interval: A/B test - unable to decide what to use

I am new to A/B test; I am interested to generate confidence interval in python language. At the moment I have ratio (proportion), for instance, ratio of add to cart to the total sessions in control ...
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How to test whether a factor differs from 50%, and which levels within the factor differ from 50%?

I have a categorical factor with 100 levels and 100 different proportions. I would like to test (a) whether these proportions differ from 50%, and (b) if any of the levels in particular differ more ...
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Is there a test (in R) for predicting the proportion of "successes" to "failures"?

As I understand it, binomial logistic regression is good for predicting the probability of a "1" outcome from a discrete binomial distribution. What if instead, one wanted to predict the ...
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simple probability/proportion question

Say among 100 people who are 65+ years old and randomly selected from the population, 10 have dementia. Can I say a 65+ year old person will have dementia with 0.1 chance ? Thx
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Regression left limited dependet variable

My scope is to analyze the impact of certain variables on the change in sales. As you can see, my dependent variable is a proportion of two variables and is limited to -1 (-100%). On the other hand, ...
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Comparing multiple proportions with zero/1 values

I have a dataset (see below) where I've located bird nests of five different species over four survey periods. For each bird nest I recorded if these were actively being used or not. I want to compare ...
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1 vote
1 answer
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Hypothesis test for difference-of-differences of proportions?

I know how to perform a test of the difference between two proportions. This is one level more complex than that. I have an experiment in which participants (male or female) are randomly assigned to ...
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2 votes
1 answer
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Hypothesis testing for ordinal proportions for multiple independent subjects divided between two groups

I have two biological groups - each with multiple subjects (7 in one and 10 in another). Each subject provides 40-80 observations, which can be classified into either of two ordinal categories. I have ...
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For path analysis, how do I check if I've specified the model using the correct distributions?

I'm using the R package piecewiseSEM to test a path model. All of the refernces I've read so far appear to discuss using directed separation, Fisher's C statistic, and AIC to test the overall ...
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Convergence algorithm for power analysis?

I found this algorithm on a shared drive and I'm really curious how it works. From appearances, it's used to estimate the MDE in power analysis when the effect size (difference of proportion means) ...
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3 votes
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Can I use normal approximation for t-test?

The question is asking us to compare two samples Sample 1: n=10, p=0.3 sample 2: n=15, p=0.4 I know the normal approximation is valid when n is larger than 30. However, the sample size is small so I ...
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3 votes
1 answer
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Sample proportion vs mean proportion for sample size estimation

Context I would like to estimate the sample size needed for an experiment. I’m testing a feature on a website and would like to detect a significant change between different variants . One control and ...
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coefficient of variation for a proportion

I'm new to the coefficient of variation. I'm trying to get at the precision of estimate. Using my software (Stata) I have an estimated percentage of 25% and a reported CV of 18. couple of questions: ...
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5 votes
1 answer
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Testing the difference of proportions equal to a certain value

Suppose there are two samples $X_1\dots X_n$, $Y_1\dots Y_m$ of binary variables $X\sim Bern(p_1)$ and $Y\sim Bern(p_2)$. Is there any way to test the following hypothesis by the exact test? $$H_0: ...
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How to bias-correct proportions for a prop.test in R?

Let's say I ask 200 participants in a study what experience brought the most joy to their lives: A, B, C, or D. ...
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2 answers
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Compare paired before and after composition proportions

I have some data on the composition of purchases by households, before and after an intervention. This composition is known at the number of items or amount spent level within 7 categories, and can be ...
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Test multiclass proportion using hypothesis testing

I have data for multiple treatments: ...
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2 votes
3 answers
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Detect dramatic increase in proportion among multiple classes

I would like to use some tool to detect spike in one class's proportion. Assume I received roughly the same percentage of red, blue and yellow candies throughout time. That means the absolute number ...
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Confidence intervals for multinomial proportions

I know that there are a lot of methods to find the confidence intervals for binomial proportions using methods like Agresti-Coull, but is there any important papers mentioning to find confidence ...
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2 votes
1 answer
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Calculate a 95% Confidence Interval of a population proportion in R

I have this data: ...
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Non-parametric test for proportions data

I am analyzing some behavioral footage and am not sure what an appropriate non-parametric test would be for proportion data? Specifically, I'm looking at visit durations at a feeding station and the ...
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4 votes
2 answers
167 views

Continuity correction in proportion test

Can you please clarify to me when to use continuity correction in proportion test please? I'm using this formula in R and I want to know the difference in the option correct= TRUE or FALSE. Also, I ...
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Testing trends in proportions with R: prop.trend.test vs rstatix::prop_trend_test

I have an ordinal variable (disease severity index, scores = 0, 1, 2, 3) and presence/absence counts (number of people with presence/absence of virus). I am testing whether or not incidence of the ...
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2 votes
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What's population, what's sample, in a website conversion hypothesis test?

Context I am a marketer; and I run marketing campaigns and website design tests a lot. There are many tools - such as online A/B testing calculators - out there to help me test the statistical ...
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2 votes
2 answers
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Asymptotic T-test validity for proportion values

I have a large sample of values, bounded in $[0, 1]$, divided into two conditions A and B, and I want to test the significance of one condition A having higher value than condition B. For the details, ...
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4 votes
3 answers
453 views

Computing p-value vs. constructing confidence interval from sample for proportions

Let's say D is a Bernoulli distribution with parameter $\mu = 0.6$ and we want to test whether or not $\mu=0.5$. So, Null hypothesis: $\mu = 0.5$ Alt hypothesis: $\mu \neq 0.5$. Suppose we have a ...
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2 votes
3 answers
210 views

We're estimating mean, variance, proportion or compare samples with them. I understand for mean and variance. But why is it required for proportions?

I have learned how to estimate a mean, variance or proportion from a sample. and also, how to compare those for samples. I'm understanding well why we might need to estimate or compare means or ...
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Comparing survey multiple choice survey questions response percentages between a subset's responses and the total collected responses

I have a survey composed of multiple choice questions. Several distinct branches of the same organization responded to the survey. I want to see if the distribution of answers from one branch is ...
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Central Limit Theorem for proportion - np >=10 or 5?

While trying to understand deeper about Central Limit Theorem for proportions, I learned CLT for proportions is based on the fact that binomial distributions can be approximated by normal ...
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0 votes
1 answer
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Proper method for comparing rates between subsets of a population

I've been handed a bunch of historical data on performance ratings of individuals in a number of organizations, and asked to identify any instances where there appear to be "abnormalities" ...
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-1 votes
1 answer
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Correct way to find proportion of events in quartiles

I am analyzing data on proportion of events occurring with respect to blood levels of chemical. The data is of 400 persons. They have been divided in 4 quartiles (100 persons in each quartile) based ...
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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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0 votes
1 answer
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Comparing margins of error of confidence intervals before and after new data is collected

Consider the following question: I have calculated: margin of error for the first 50 jumps is 0.127, margin of error for the last 10 jumps is 0.248, margin of error for all 60 jumps is 0.156. The ...
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1 vote
0 answers
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prop.test() in R assumptions?

Can anyone verify if the following assumptions are true for prop.test in R? I think it's a hypothesis test for differences in proportions between groups, no? Key assumptions(?): Samples are randomly ...
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0 votes
2 answers
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R: Can I use percentages instead of counts in a chi-squared & pairwise test? [duplicate]

I have count data with a corresponding time and place of each count, but my research question is about proportions. Is it valid to run a chi-squared test on percentages rather than count data? I'm ...
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How to get glmnet to work for proportions as response variable

I am trying to run a penalized logistic regression in R. My response variables are proportions (they are winning percentages for a sports team), and I have the number of total games played by each ...
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0 votes
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Sample Design for Call Centre

I'm working on a research project for a call centre, it's been a while since I have done any applied statistics so I could really use some help. Here's what I want to do: I need to understand why ...
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0 votes
1 answer
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How to analyze percent occurrence data (as counts or proportions)?

My example data: ...
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2 answers
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Logistic Regression - between 2 unrelated treatments?

Context I'm testing the effects of various email interventions on getting people to sign up for a financial literacy event, and benchmarking them against a default, control intervention. The outcome ...
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2 votes
1 answer
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What statistical test to use to say frequency of one sample is higher/lower than the frequencies in other samples?

I have the following table, I used chi square test of independence to find whether the frequencies of 'c.388A>G' are same across SAMPLE_A, SAMPLE_B and SAMPLE_C. And the p-value from the test ...
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2 votes
1 answer
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What test to use to find which proportion is highest in multiple groups of different sample sizes?

I have 4 samples of different sizes. I have used chi-square test to find whether the male-female proportions are same in these samples and it came out statistically significantly different (p < 0....
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3 votes
3 answers
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How to compare proportions by having only the mean proportion and 95%CI (reported by a meta-analysis)

I have a proportion of 31.6% (24/76) and I need to test whether this proportion is significantly different from a proportion reported by a meta-analysis study equal to 59% (95%CI: 53%; 65%). The meta-...
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2 votes
1 answer
61 views

Contingency Table: Proportions between two Choices differ, p-Value of 1?

I have survey data, where participants where asked to choose two times between yes and no For this example let's say (although I am note quite sure if this is a good example). Choice1: Do you want to ...
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Probability based on proportions from paired samples

Consider a dataset of partial pressure of oxygen (po2, in kPa) measured in paired arterial and venous blood samples from a population (n = 38251). The distributions of both type of blood are displayed ...
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Methods to calculate confidence interval for proportion with potential bounds?

I am trying to calculate the confidence interval on a time series proportion. For example, I have 1000 years of data, and I use 20 days to calculate some proportion. The thing is, I know the ...
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