# Questions tagged [two-sample]

The two-sample problem is: given samples X and Y from two distributions, test whether the two underlying distributions are the same. One of the most common classical nonparametric approach is the Kolmogorov-Smirnov test.

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### How does the following term happen when using the Wald Test on two-sample binomials?

I'm having trouble understanding one of the steps of the Wald test used in two-sample binomial proportions. More specifically, when $X_1, ..., X_{n_1}$ are iid Binomial$(1, p_1$), $Y_1, ..., Y_{n_2}$ ...
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### Two-sample Kolmogorov-Smirnov discrete distributions

Let's say that two Census takers interview a number of couples and ask for the number of children they have. I want to compare the two resulting samples to find out if they could have come from the ...
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### Detecting statistically significant change between multinomial samples and individual category proportions

Say I have a categorical variable with more than two categories, e.g., a person's country of origin. Assume the number of categories is some finite $k$ (e.g., not dealing with distribution of people'...
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### Do asymptotic statistics "solve" the Behrens-Fisher problem?

The Behrens-Fisher problem concerns comparing two means from independent (maybe multivariate) samples in a way robust to heteroskedasticity in the populations being compared. It seems that if one ...
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### Measure for similarity of two distribution ECDF with sensitivity to the tails

Currently, I am looking for a measure to quantify the overall dissimilarity or similarity of two sample distributions (possibly of different size). I would like to compare observed data with model ...
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### Test for equal parameters of two regression models: compare coefficients directly or check if interactions are zero?

I have two data sets and obtain regression models with coefficient vectors $\beta_1$ and $\beta_2$. I want to test $$H_0: \beta_1 = \beta_2$$ against the alternative that the two vectors are not equal....
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### Two Samples Test for Discrete Variable and Different Size Groups?

Hello there and apologies for my English and lack of statistic skills! Two different groups of participants, one comprised of children and the other of adults, run once, at different times, the same ...
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### what is the difference between a two-sample t-test and a paired t-test

While I was glancing at hypothesis tests, I saw paired and two-sample t-test but couldn't understand the difference. For the explanation of these two tests, I saw the following sentence " Two-...
152 views

### Can I simulate a two-sample K-S test when I can't perform a one-sample test because a distribution parameter is unknown?

Let's say I have a signal which I want to test for normality. I know that the mean from the theoretical distribution is zero, but it has an undetermined (unknown) variance. If I knew mean and variance ...