# Questions tagged [contingency-tables]

Tables of counts (occasionally proportions of marginal counts), arranged by (at least) two marginal categories, displaying bivariate or multivariate frequencies. Sometimes called crosstabs.

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21 views

### How to analyse a contingency table with specific expected distribution?

I have a 2x2 table of single nucleotide substitutions in DNA. The data rows represent the nucleotides in one genome (A) and columns are the nucleotides in the same positions of a different genome (B). ...
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### How to perform multiple tests of contingency tables with more power: Fisher's / Barnard's test vs Logistic regression

I have a sample of answers to Yes / No questions: \begin{array} {c | c c c c} \hline \text{Case} & X_1 & X_2 & X_3 & X_4 \\ \hline 1 & 1 & 1 & 1 & 1 \\ 2 & 0 & ...
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### significantly more down-regulated genes than up-regulated genes

I would like to test if my dataset has significantly more down-regulated genes than up-regulated genes. In my set of significant genes (BH-corrected) I have 20 up-regulated genes and 69 down-...
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### How can I determine which cell chi-square value(s) contributed the most to a large 2-way chi-square omnibus test result?

I'm trying to determine which cells' values account for/contribute the most to a significant chi-square omnibus test result. Please see the below contingency table showing the numbers of diagnoses by ...
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### Simulating a 2x2 contingency table (cohort study)

I want to simulate a 2x2 contingency table with fixed row totals. I know that the distribution would be binomial but I can't seem to do it in a matter than constraints the randomly generated elements ...
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### Matthews/Phi Coefficient on a 2x2 Contingency Table with Rare Positives

Suppose I want to measure the degree people like gold versus silver. For the sake of argument, let's say I have a contingency table like so: ...
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### Do I need to run an “a priori” power analysis before doing a content analysis?

I am planning to do a content analysis of social media posts from different groups, coding categories with categorical (binary) variables (0 = not present, 1 = present). I want to compare group ...
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### Methods for analyzing “cross-frequency” tables?

I am looking for a statistical method that is suitable for the problem: which goods in my shop are most frequently bought together, and which aren’t? For my commodities, I can make a table like this ...
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### Different formulas for two-sided mid $p$-value ($2\times2$ table setting)

I'm interested in testing independence of two binary variables in a $2\times 2$ table: i.e. $H_0: \theta=1$ against the two-sided alternative $H_1:\theta\neq 1$, where $\theta$ is the odds-ratio. ...
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### Analysis 2x2x2 contingency table

I want to analyze whether the association between Variable A (expected value of two different options: high vs. low) and Variable B (choice proportions for each option) differs between the two levels ...
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### Joint from Marginal distribution given one realization: 2x2 contingency table

I have the following issue: Lets say I have a 2x2 contingency table of left and right handed men and women and the outer sums (marginal distribution)  \begin{matrix} & Left & Rigth &...
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### Repeated-measure contingency table with two variables with many levels

I am trying to analyze the results of a survey on what would make people of different ages visit certain tourist places. However, age was collected as age-group (not my fault). Hence, it is a ...
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### Creation of contigency table and calculation of effect size (Chi2, Cramer's V)

I am a bit unsure in my approach of applying the Chi2 GOF test to my data and calculating the correct effect size. The situation: I am studying the occurrence of specific biological phenomena in ...
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### Visualization associations between the symptoms - categorical data in R

I have a data frame with presence of symptoms which are categorical data (1 = present, 0 = absent). For instance: ...
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### Interpreting Fisher's test and power analysis in R

Currently I want to check whether there is a significant difference between the data from two clusters with n1 = n2 = 6. ...
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### Non-parameteric test on 2*2 contingency table [duplicate]

I got a data that can be categorized in two different ways and I like to test their association. The initial thought is Chi-squared test. However, the data is not normally distributed. What is the ...
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### Generate contingency tables with bi-variate normal distribution

I want to generate r x c contingency tables using Bi-variate normal distribution. Most of the works deals with generating tables from multinomial distribution where the total frequency is fixed. ...
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### Analysis of multiple response/check all that apply survey data

I am helping to review a manuscript and suffering from mental block on some data analysis. The data in question is from a cross-sectional survey, a health care provider KAP (knowledge, attitudes, and ...
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### Deciphering Prior Concentration for Bayesian Contingency Tables

I'm having some trouble in wrapping my mind about the prior concentration parameter when calculating a Bayes factor for contingency tables. Specifically, the parameter prior concentration for package ...
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### How to interpret contingency table 3 x2 with Yates correction?

I ran a contingency test and obtained the following results ...
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### How to compare across rows/columns in a cross-tabulated table?

I am analyzing a survey which a table which crosstabulates a respondent's preferred candy bar size against how many candy bars they purchased in the last month. It looks like this: ...
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### Approach to Analyzing Semi-Rare Events

I am often faced with analyzing data that follow a pattern as shown in a mock example in the image below. Key data characteristics: for any value of the predictor (e.g. temperature), the most ...
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### The coefficients and p-values in the Firth logistic regression when the data set is imbalance

My question is that in the case where the contingency table has imbalance data in terms of binary response success and failure, can I confidently say that the two-level categorical predictor is ...
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### Statistical test for differences in proportions, over-dispersed count data

I have a nxm contingency table where I have counts of elements divided by type. For example: I would like to know if the proportions of any of the columns are different (i.e., is the G1/G2 proportion ...
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### Appropriate way to visualize significance in 2x3 contingency table using mosaic plot

I've checked multiple threads about handling or visualizing contingency tables, but can't find one that can help my current question. I have a 2x3 contingency table: "group" variable has 3 levels not ...
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### Interpreting log-linear model for contingency table in R

I'm looking at sample data and trying to determine whether there is any association between the height of the husband and that of the wife below. I don't fully understand what the symbolic ...
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### Chi Square Homogeneity Test : proportions & total

In an experiment I observe counts for 2 species of fish on 10 random days in 2017 and 2018 (the number of fish sampled in each year can vary). I'd like to run the chi square test of homogeneity ...
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### Difference between null and saturated log-linear models

I have data from an experiment testing the number of 'cases' at each of three measurement points (0, 12, and 24 weeks). I am interested in whether the proportion of cases across these measurement ...
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### How to interpret cell values from statsmodels contingency table methods?

The documentation for the methods in statsmodels.stats.contingency_tables.Table is sparse; for example, for fittedvalues() it describes it "returns fitted cell ...
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### Parameters, constraints and MLE of log-linear models

I want to use log-linear models to assess the type of (in)dependence between variables in $2\times2$ and $2\times2\times2$ contingency tables. In the process of doing so I would also like to ...
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### Is Fisher's exact test the most powerful test for 2x2 contingency table?

I don't find the powerfulness of Fisher's exact test on Wikipedia. Are there any results about the power of FET vs other methods on 2x2 contingency tables?
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### When to use a multicategory logit model versus a loglinear model?

Do you only use the baseline-category logit model when categorical responses have more than 2 categories? How is this different than the loglinear model, which is useful when at least 2 variables in ...
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### Statistical significance in a sub contingency table

I have a contingency table of data for the twelve months of the year (i.e., a 2 x 12 table), and I want to evaluate the difference between two particular months (the probability of their values being ...
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### Analysing contingency table with small samples

My question is about how to analyse very small samples on contingency tables. I have a contingency table with observation for 2 groups (first variable) answering questions with multiple choices (...
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### Conditional Testing of Two-way Contingency Independence

I am reading about testing independence in two-way contingency tables from Mood Graybill and Boes's Introduction to the Theory of Statistics and is confused about testing independence. We have a two-...
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### Two sample T test frequency table

I am struggling with a data analysis. I have made a survey and got the following answers in the first turn, I put them in a frequency table Don't agree at all: 8 Don't agree: 6 I don't know: 16 ...
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### How to compute multiple Chi^2 P-values for each of a factor in a 3-way contingency table?

How were the p-values calculated using chi^2 (method cited in paper below) in the following table. Its a three way contingency table, tumor stage 1-4, race B/W and hospital city/university. They have ...
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### Testing for non-zero values above and below the diagonal of a matrix

I have a $n\times n$ contingency matrix comparing count data (classification) of two procedures. I want to test for non-zero values above and below the diagonal (different classifications in both ...
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### Is the Chi-Square Test of Independence the best option for 3x2 contingency table?

I have some data which in the terms of a 3x2 contingency table look in the following way. ...
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### How can I calculate and what is the covariance in the contingency table?

In the following contingency table how can I calculate the covariance of the Age and Salary of 300 employees?
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### Sample size needed to prove equal proportions

We are trying to prove that three groups have the same proportion of some effect. We are struggling with formulating the null hypothesis, and whether or not the sample size is big enough. The ...
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### Are there any statistical tests or measures for paired data with more than two groups?

Are there any statistical tests or measures for paired data with more than two groups? My dependent variable is pretty flexible, but I'd really like to have five independent variables compared ...
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### Overdispersed proportion test?

I am comparing proportions in genomic data. In particular, I compare two populations, A and B, and I look at genetic sites. In other words, I have N contingency tables ...
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### Test of independence for response frequencies with multiple responses per user

Scenario: We have users in two categories, A and B. In each category, a user can provide a response which can be X, Y or Z. A user can provide one or many responses. Therefore, every subsequent ...