# Tagged Questions

A test (typically of distribution, independence, or goodness of fit) or a family of distributions related to such a test.

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### Goodness of fit tests in R

I have a population of 663 random balls drawn. The interval of this population's values is [1,27]. I want to do a Goodness of fit test to proof if it has a gamma ...
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### Robust one sample tests of variance or scale

A common one sample test for variance is the chi-square test, e.g., http://www.itl.nist.gov/div898/handbook/eda/section3/eda358.htm. What are some robust testing alternatives for variance when the ...
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### McNemar's test vs chi-squared test for before & after data with different people from the same population

I have 2 proportions I want to compare. They are from the same population but at different time periods, in between which there was an intervention. H0: Proportion in Period#1 = Proportion in Period#...
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### Difference between logistic regression and chi-square for analysis with no covariates?

I have a binary response variable (0s and 1s), the distribution of which that I want to compare to chance. I understand I could use logistic regression or a chi-square test to do this and that these ...
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### Is a Fisher exact test for count data appropriate with an ordered factor?

I have the following contingency table: ...
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### Finding discrepancies in distances between random variable samples

There are $N$ independent and unknown points $p_i$, $q_i \in \mathbb{R}^3$, $i \in [1, N]$. I want to find if the pairwise squared Euclidean distance of each $i$ pair is the same for all of them, or ...
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### Correct equation for Breslow-Day statistic in homogeneity test of odds ratio

In Statistical Methods of Cancer Research; Volume 1 - The analysis of case-control studies the authors Breslow and Day derive a statistic to test for the homogeneity of combining strata into an odds ...
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### Why is a low (<1) chi-square measure unlikely when degress of freedom are high?

If the chi-square measures variability, where 0 is no variability and a very small measure is no variability, shouldn't all chi-square distributions be shaped like the dof-1 distribution, where the ...
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### p-value interpretation of Jonckheere Terpstra:one-sided or two-sided

I am using the Jonckheere-Terpstra test in order to validate the pooled t-test results. Basically, I like the JT test because of its non-parametric nature. Basically, I am now trying to understand ...
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### Combining independent observables for the same quantity, how to check independence

Let's assume we have a set of observations $\{x_i\}$ of a physical quantity $x$. We have a model $x=X(y)$, where $y$ is a free parameter. Let's assume that we have two distinct observables, $f(x)$ and ...
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### One Response Value Fails for Proportional Odds Assumptions

I am analyzing placement scores on the response of students' grades for various courses. I have used a Chi-Sq test with the likelihood ratio to check the proportional odds assumption. For one of the ...
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### How to evaluate the combined effect of 2 variables?

I'm trying to analyse the effect of smoking on health. The health variable is binary(healthy or not) but there are 2 different exposures to smoking(active=variable A and passive=variable B). Variable ...
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### Does the sample size for the dependent variable should be the same for all the values of the independent variable in Peason Chi-square?

I have a question about the sample size when using chi-square test of independence or multinomial logistic regression. I would if you provide me with your feedback since I search a lot and I could not ...
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### Difference between expected spending and spending observed. What kind of statistical analysis should I apply?

I would like some advice from you about what kind of statistical analysis I could do about that data. My case is as follows: According to a research I have the information that the financial health ...
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### Multiple Hypothesis Testing with Categorical Variables and Alternatives

Suppose we have a variable $Y_i$ which is a binary categorical variable, and we have a variables: $X_{i,1}$, $X_{i,2}$, ....$X_{i,n}$ ($i=1,2,....N$ where $N$ is sample size, and $n$ is the number of ...
### Mode of the $\chi^2$ distribution
I've been studying a statistics textbook that makes a claim that the $\chi^2$ distribution with $k$ degrees of freedom has a mode at $k - 2$ without proof. (Wikipedia seems to agree) Why is this?...