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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Combined reliability for statistically independent tests/measurements

I'm perplexed by this statement in Wikipedia article, 'Consilience': "Statistically, if three different tests are each 90% reliable when they give a positive result, a positive result from all ...
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What criterion to use to compare multiple correlations of binary variables?

I have $N$ definitions of certain properties of countries (for example, if the country is "democratic", "totalitarian" etc.), and want to test how consistently different people ...
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Issues with Detecting Negative Change in AR(1) Model Using CPAT Library

I'm currently working on evaluating the empirical power of the CUSUM, Rényi CUSUM, and Erdős-Darling tests for detecting change points in AR(1) models, specifically focusing on changes in the mean. ...
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Appropriate way to correct for multiple comparisons in this case

I am trying to compare the performance of an optimisation algorithm on different objective functions. The functions can vary in their form (4 different types) and dimension. I would like to first ...
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What is the appropriate statistical test in this scenario?

I work with a particular genus of plants where there have been many instances where what was once considered a species is now considered to be a synonym of another species. I am interested in ...
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How can I show statistically that one of my replicates is likely contaminated?

I have a dataset that looks like the below: five replicate samples, each of which is composed of 4 different fractions that sum to 100%. The fifth sample clearly looks visually distinct from the other ...
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Are there alternative statistics to a p-value in NHST?

Sometimes, when the logic of p-value is explained and motivated, it happens in the following way: The concept of a random sample is introduced, together with the need to consider the possibility that ...
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Is it possible for some p-values to be impossible? (because statistic generated by parametric bootstrap is mostly the same value.)

I am using a parametric bootstrap/monte carlo hypothesis testing method to generate the null distribution of the log likelihood ratio statistic. However, I am worried I might be doing it wrong ...
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Apply the Breusch-Pagan to uncover the source of variance in the data

For my research I am trying to uncover if the variance of my variable of interest is correlated with one of my independent variables. Let $x$ be the independent variable of interest and $m$ be the ...
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Difference in means and variances of dependent samples

I am performing a simulation study where different values of an exposure X are repeatedly assigned to the same individual (200x in a sample of >10000 people). The way that assignment is done is ...
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Why do we compute the standard deviation of the proportion using the value assumed under the null hypothesis?

In type 2 error computation, why do we compute the standard deviation using the value assumed under the null hypothesis even if we provide the alternative hypothesis as possible true value? If in null ...
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confidence interval and rejection

Assume I have a data sample $X_{1}, \dots X_{n}$ from a normal distribution. Then, we consider the following hypothesis $$H_0: \quad \mu = \mu_{0}$$ and alternative $$H_1: \quad \mu \neq \mu_{0}$$ ...
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What is correct test to investigate difference between two conditions with repeated measures per subject?

I am having trouble deciding what statistical test I should use for my data. I have 5 subjects who rated attractiveness of 20 objects and 20 sounds of the objects on a scale of 1-5. I would like to ...
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Testing the effect of a continious IV on DV, in order to explain group differences

I would like to ask a question regarding an analysis I’m planning and it might be a basic question so, apologies in advane.... To describe the situation: There are two groups of participants in my ...
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How to perform a joint significance test for multiple coefficients across several regression models?

I have 10 regression models, each regressing a different dependent variable $y_i$ (for $i = 1, 2, \ldots, 10$) on the same independent variable $x$. Each model produces a coefficient for $x$, ...
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Appropriate Test for Measuring Change in Event Occurrence Over Time (RStudio)

I want to see if a training programme delivered to organisations to reduce the rate at which an event occurs actually has the intended effect of reducing said occurrence. Each organisation that is ...
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What test should I use for Weighted Mean Proportions?

I want to know if the "weighted mean proportion" of a racial group in the organization (overall) is significantly different from the "weighted mean proportion" of the group within ...
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Evaluating the Validity of Election Results

In a suspicious election involving 5 candidates, the announced votes for each candidate are a multiple of 3. The chance of all five numbers being a multiple of 3 is only 0.41%. Therefore, some people ...
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Given $K$ independent samples of $Y_{i1},\dots,Y_{in_i} \ \text{i.i.d.} \ \sim Exp(\lambda_i)$ with $i=1,\dots, K$ and $n_i$ the size of the $i$-th sample, is there any statistics with analytically ...