# Questions tagged [hypothesis-testing]

Hypothesis testing assesses whether data are inconsistent with a given hypothesis rather than being an effect of random fluctuations.

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### Determining the power of the test in this question

The following problem is from Devore's Probability and Statistics for Engineering and the Sciences, 8th edition, exercise 8.1 question 33: Reconsider the accompanying sample data on expense ratio(%...
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### Hypothesis test for arbitrary distribution

Given a sample of $N$ observed values I'd like to test the null hypothesis that they arose from an arbitrary PDF (for which I have the analytical form). There are tests in place that can handle some ...
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### dhsic.test returning different p-values?

I am using dhsic.test in R, and I have this doubt: For this example of clearly uncorrelated data I get different p-values: ...
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### Why do we also consider the probability of more extreme events in hypothesis testing? [duplicate]

Why do we also consider the probability of more extreme events in hypothesis testing? I'm a beginner in statistics and I am trying to understand why do we take into consideration the probability of ...
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### Chow test or simple t-test for the interaction term in regression?

If I want to check whether a specific regression coefficient differs between two samples, let us say men and women, I believe the right approach is to combine the samples, add a men/women dummy, and ...
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### Expected Counts in Chi-Squared Goodness-of-Fit Tests of Normality

I have a variable with of 200 values that I would like to test for normality using the Chi-square Goodness of Fit test. To do this, I have to calculate, for each value, the expected value in a normal ...
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### How to test the significance of order of fixed features among various samples

A practical statistic question was proposed here during my current research work. There are various sites across the country with identical features, which denote the content of 6 metal species (i.e....
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### Hypothesis test for comparing 6 means to find the greatest result?

I have six groups of continuous data, each representing the performance of a computer program, with which I want to compare the means to find if the one with the greatest performance is such by a ...
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### A/B test sample size calculation

I want to conduct an A/B test where main metric is ālogged in visitors/total visitorsā to my website I assume, and want to verify with you that Iām correct: - my null hypothesis is that thereās no ...
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### How to decide between goodness of fit tests

I have a question on BIC and AIC. I have a data set and I need to test this data set if it fits various distributions (for example, Gamma or Poisson, etc.) I need to use AIC and BIC statistics for ...
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### Proof that p-value equals probability of observing equal or more extreme value of test statistic?

I'm trying to prove Theorem 10.12 in All of Statistics, which states the following: Suppose that the size $\alpha$ test is of the form  \text{reject } H_0 \text{ if and only if } T(X^n) \geq ...
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### Bootstrap hypothesis test for median of differences

I have not found any examples of bootstrap hypothesis tests for the median of differences. Hence, I'd like to suggest my approach. Question: Do you a agree that the reproducible example below would be ...
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### AB/Hypothesis testing in multiple groups

Let's say I have two variants of my website and I would like to know which variant generates more revenue. This website operates in multiple countries and I will choose a variant for all countries at ...
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### Test to prove Poker deals are not random

I played on a mobile app of Texas holdem poker called pokerrrr 2. I suspect the game deals non-random hands. How can I prove the deals are not random? I prefer a test that can get an answer using ...
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### Correlation between two variables as time series with multiple samples

Main objective I have two variables ($A$ and $B$) as two time series for $n$ samples, and I would like to test if $A$ and $B$ are correlated. Let's first assume that these $n$ samples are independent ...
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### Hypothesis Test on the Difference between two random vectors

Each of my vectors consists of beta estimates for two separate models of the same data and the same number of explanatory variables. The question is asking whether the difference between these two ...
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### Hypothesis testing for difference in medians vs. median difference

I found this post saying that one should test for the median difference instead of the difference in medians, in particular if the data is skewed: http://onbiostatistics.blogspot.com/2015/12/median-of-...
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### Model selection based on Jarque-Bera, Shapiro-Wilk and Ljung-Box tests

I am kinda new to econometrics I have six models with Jarque-Bera, Shapiro-Wilk and Ljung-Box results. How can I choose the best model using the tests mentioned above? Thank you
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### Multivariate One-Tailed Tests

I know when performing hypothesis tests like the z-test or the t-test for one variable, the one-tailed test (when fitting, usually in the case of verifying claims of superiority) provide stricter ...
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### Understanding Hypothesis tests for a Pareto distribution

I'm writing an essay that's looking at the presence of the Pareto Principle in data. Unfortunately, as a consequence of interest, I've picked a topic that involves statistical analysis well above what ...
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### Compare two Kolomogorov tests with exponential distribution

I try understanding implementation of Kolomogorov test for one Sample. ...
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### Sample size calculation with multiple conditions

I am interested in computing the required sample size for bioreactor yields. The mean yield should be 60% or more with no yield being less than 25% and at-least 60% of runs should have more that 60% ...
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### Statistical test for non uniform counts

I have data on counts for about 1000 categories in a sample. I want to get an estimate if the counts are somewhat uniformly distributed across 1000 categories, or most of the counts are cominf from ...
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### One tailed test

I was reading about an article on One tailed test and Two tailed test. I know that using one tailed test we focus only in one direction and are not concerned about direction. I came across the below ...
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### Which statistical test should I use for 1 ordinal and two categorical variables?

It would be great if someone could help me out I would like to know if there is an association between 3 variables, mental health, having a health plan and income level. Below is a contingency table. ...
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### Determine the NULL and Alternate Hypothesis

The following is a question related to Hypothesis testing from an introductory level stats book: Every year on Groundhog Day (February 2), the famous groundhog Punxsutawney Phil tries to predict ...