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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2
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13 views

G-test vs Pearson's chi-squared test

I'm testing independence in an $N \times M$ contingency table, I don't know which of the G-test or Pearson's chi-squared test is the best ? The sample size is in the hundreds but there are some low ...
0
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0answers
16 views

Is the Fisher's exact test “parametric” or “non-parametric”?

It is not clear to me whether we can consider the Fisher's exact test as a "parametric" or "non-parametric" one. My gut feeling is that it should be defined as "parametric" as it involves a fully ...
0
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1answer
31 views

Association between two distributions where only tails matter

I have two bell shaped (but not normally distributed) data sets, A and B. In these, most of the values in the middle can not be trusted, i.e. they are probably noise. I am interested in knowing how ...
2
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2answers
288 views

Fisher's test with large data

I want to compare the proportions in two samples, that can be organized as P NP SAMPLE_A 3,129,548 427,953 SAMPLE_B 2,930,639 407,353 If I ...
2
votes
1answer
55 views

Is there a Bowker-like test to assess the symmetry of squared contingency tables with small expected values and a small number of observations?

I ask this question because Bowker test (McNemar extension for $k\times k$ tables with $k>2$) requires a large number of observations for fitting well and also requires (as a rule of thumb) that ...
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0answers
17 views

comparing multiple proportions over time

I have a dataset of 22 fish species in a fish market, sampled monthly, from 2007 to 2011. I want to see if there is a statistically significant change in their relative proportions over time. I first ...
1
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1answer
10 views

Method in jmp to analyze occurrence of an event based on unique users in a category

I have a student project in which I would like to analyze application usage data specifically between three user groups. I have log data gathered including unique User IDs, actions and the identifier ...
0
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0answers
24 views

Test for differences in frequencies of categorical variable with multiple responses

Background Interviews with two groups of therapists were conducted: experienced therapists and inexperienced therapists. Each statement of the interview was classified into 9 different categories. ...
3
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1answer
66 views

How to compare contingency tables for a specific pattern?

I have a a series of contingency tables, like: A B |----|----| C | 0 | 10 | D | 17 | 2 | and I need a numerical value to select and order those tables ...
2
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1answer
44 views

Can I get an Odds Ratio (or other effect size) from two proportions and a p-value?

I am conducting a meta analysis that is comparing dichotomous outcomes for two groups. So for each study, I have the proportion of the outcome for both groups and the sample size of each group, and I ...
0
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0answers
54 views

How to interpret conditional odds ratios from a three-way contingency table?

I am trying to understand how to correctly interpret the estimated conditional odds ratios from a loglinear model on a three-way contingency table. This is an example from Agresti 2013 (p. 346, ...
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0answers
14 views

What is the null model for a four-way contingency table?

I'm working through this tutorial on the Titanic data in R, a four-way contingency table, and I'm unclear as to what is the NULL ...
4
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2answers
58 views

How to interpret a two-dimensional contingency table?

I am trying to understand how to interpret log-linear models for contingency tables, fitted by way of Poisson GLMs. Consider this example from CAR (Fox and Weisberg, 2011, p. 252). ...
0
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1answer
25 views

solution for large contingency table

I have performed logistic regression using SPSS on my data with a dichotomous variable as the dependent variable with three independent variables and three covariates (they are mostly categorical) ...
0
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0answers
16 views

goodness of fit vs independence test in finite population case

I have a finite population frame. Around 80% of the frame members have e-mail addresses, and a survey was sent via e-mail to those people. Roughly 20% of those to whom e-mails were sent replied to the ...
2
votes
1answer
60 views

How does Google Analytics calculate “Probability of Outperforming Original”?

Here's an example content experiment in Google Analytics. Can anyone explain how to calculate that there's a 98.7% "Probability of Outperforming the Original"?
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0answers
17 views

Contingency testing in geographic data with the issue of independence?

How can I test contingency between two variables in geographic data with the issue of independence? I have a column of fire frequency and a column of vegetation change but do not think a simple chi ...
3
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2answers
128 views

R: how to interpret mosaic and association plots

I'm using the mosaic and assoc functions in the library vcd. My mosaic plot is as follows: ...
0
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0answers
8 views

Finding the differences for nominal data when each participant contributes to more than one cell in the frequency table?

Finding the differences for nominal data when each participant contributes to more than one cell in the frequency table. The point is that I don't have paired nominal data as it is in repeated ...
1
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0answers
14 views

enumerating patterns in a set of contingency tables

I have a set of 3X3 contingency tables and want to identify the distribution of the patterns by comparing their expected and observed number of samples in each cell using a right statistical test. For ...
5
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1answer
45 views

Cramer's $\phi $ for three-way contingency tables

Can Cramer's $\phi $ be determined for three-way contingency tables? I know how to calculate the expected values, chi squared, and how Cramer's $\phi $ works with two-way contingency tables. However, ...
0
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0answers
30 views

Which exact test should I use for my data?

I'm very new to statistical analysis, and I am wondering if I am paying too much attention to unimportant questions. My data consists of about 40 cases involving a particular kind of lawsuit. After ...
3
votes
2answers
69 views

$\chi^2 $ of multidimensional data

I want to test if two observations of nominal data accord to the same distribution. I am using the chi squared statistics to perform a chi squared homogeneity test and normalize the result with ...
4
votes
1answer
145 views

How to interpret the residual colors on a mosaic plot?

This is a mosaic plot of contingency table dataset HairEyeColor described here. How do I interpret the colors representing residuals? What is the difference ...
8
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4answers
172 views

Which is the best visualization for contingency tables?

Which is best plot, from statistical standpoint, to show a contingency table, which is typically being analyzed by chi-square test? Is it a dodged barplot, stacked barplot, heatmap, contour plot, ...
7
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2answers
255 views

Fisher exact test on paired data

Given $40$ cases with lung cancer and $40$ matched controls (without lung cancer) (matching based on age, sex, etc.). To try to find evidence between the effect of smoking on lung cancer, I used ...
3
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1answer
45 views

Determining $\chi^2 $ for Cramer's $\phi $

I intend to determine Cramer's $\phi$ for two contingency tables of the following form: ...
2
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1answer
84 views

I don't understand Chi squared

I think of the contingency table test. In all textbooks I've seen, the test statistic is calculated as the sum of $(O-E)^2/E$ over all cells. But the degree of freedom is not the number of all cells. ...
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0answers
54 views

How important is the arrangement of data in a 2x2 contingency table for fishers exact test?

I am comparing expression of different genes involved in the same metabolic reaction of basil to two different conditions, exposure to cold Vs Infra-red light. I am in the process of analysing RNA seq ...
1
vote
1answer
45 views

Is it possible to compute the mean/median of an variable by a contingency table?

A contingency table contains the frequencies of two discretized variables. To be more specific, the discretization is done by splitting the spectrum of a signal into equal width intervals. Is it then ...
1
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1answer
79 views

Using contingency tables for testing multiple dependencies

I know that I can determine the correlation / association / dependency between two variables (X= smoker, and Y=cancer) using chi-squared with a 2x2 contingency table: ...
2
votes
1answer
41 views

Help with analyzing/planning a physical experiment — regression

This is a real experiment about to be performed Batches of samples will be prepared. A Striker will be used to see if a reaction will occur. For example: 20 drops might be performed, and number of ...
2
votes
0answers
33 views

Test for independence in 3x2x2 table with small expected cell values

I have three unordered categorical variables. I have made a 3x2x2 table, but I'm uncertain of how to test for independence. The usual manner is a chi-squared statistic, but I think this is ...
2
votes
0answers
19 views

rxc contingency tables

Hi I am trying to analyse categorical data and to construct a contingency table based on a survey data. In the contingency table, there were 5 ordinal ratings(blank, unacceptable, below average, ...
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0answers
40 views
4
votes
1answer
271 views

Why does Pearson's chi-squared test detect differences that the GLM model fails to detect?

How can I interpret the following result? I have 4 groups with around 300 observations each: ...
0
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0answers
52 views

Disproportioned contingency table

I have a database of clients, some of which have gotten a special pill - and the rest have not gotten the special pill. Afterwards I measure if the clients starts exercising. My contingency table ...
2
votes
1answer
73 views

Contingency table for gene groups

I have two lists of genes as follows: DEList has 282 gene names AllList has 32805 gene names ...
2
votes
0answers
42 views

A generalized measure of relative enrichment for elements of a contingency table [closed]

Problem: If given a matrix of counts of observations between some features (F) f1-f4 (e.g., GO terms or pathways, in rows) and genes / proteins (P) p1-p3 (in columns), what would be: A good way to ...
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0answers
14 views

Help interpreting this result based on conditioning on gender -Contigency Tables

The problem i'm having is how to interpret the results I got. For part a) I got that the abortion laws are independent of generation where I used a $\chi^2$ test. For part b) I got that the the age ...
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0answers
9 views

Regression Model for Matched Continency Tables Coefficient Interpretation

Sorry to insist. A number of questions in the same direction (coefficient interpretation) by different contributors, never answered. ...
2
votes
1answer
36 views

Regression Model for Binary Matched or Paired Contingency Table Results

This is a follow-up question on a prior thread about the same setup as follows: We have two "Methods" ("A" and "B") to diagnose a medical condition. We are not trying to determine which one is better ...
0
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0answers
113 views

Fisher's exact test for 3x5 contingency table in R with post-hoc? Consistently with using Fisher or Chi-squared?

I'm struggling with some (relatively simple) stats questions for some work I'm doing in R, and can't seem to find answers online... I have a factorial response variable of habitat type of a species ...
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0answers
25 views

Correlated Proportions shown in a Mosaic Plot. What is the fitted model that generates residuals?

I have a 2-by-2 table of correlated proportions where I am plotting the positivity of two diagnostic methods applied on a sample of 216 individuals: ...
1
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0answers
52 views

Dimension reduction for discrete qualitative and aggregated variables

I know about PCA for multiple dimensions of continuous features but here is a problem I have some trouble to find a method for. I don't have a list of individual countries but rather a discrete ...
2
votes
0answers
43 views

Fisher's Exact Test for 2x3 tables

I'm writing my dissertation and I need to cite a source to support using the FET for 2x3 tables. Does anyone knows of a source that can be cited? Thank you!
2
votes
1answer
41 views

Is this a valid use of “positive predictive value”?

So here's your typical table for evaluating the performance of a diagnostic test: Gold standard result ...
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0answers
60 views

Calculating Odds Ratios for a 3 x 3 Table

How would I go about calculating the Odds Ratios (measures of association) for a 3 x 3 Table
4
votes
2answers
211 views

Is the chi-squared test appropriate with many small counts in a 5x2 table?

I have two sample populations, A, and B, which are independent. ...
0
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0answers
146 views

SPSS chi-square output interpretation

Sorry for the dumb question, I need some help with the interpretation of the spss chi-square test outcome. Basically I have two variables: the first one is a binary variable which takes value 1 if a ...