# Questions tagged [statistical-power]

Is a property of a hypothesis testing method: the probability of rejecting the null hypothesis given that it is false, i.e. the probability of not making a type II error. The power of a test depends on sample size, effect size, and the significance ($\alpha$) level of the test.

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### Sample size calculation clinical trial

I am trying to replicate a study about a randomized clinical trial. For this purpose I want to obtain the sample size calculation the authors did. In the paper they say: Assuming a reduction of the ...
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### Power analysis for the Cox proportional hazards model

I'm trying to work out the sample size needed for an RCT based on a small study looking at reoperation following index surgery. In this small study, there were 1000 patients, group 1 had 700 versus ...
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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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### Power of Test in a Coin Toss Experiment

I am trying to understand the concept of "Power of Test" using the example of a coin experiment. I have a coin that I want to prove is biased towards heads. I toss the coin 10 times, and get ...
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### How to measure standard deviation for a power test

I have a "so dumb I'm embarrassed" question about calculating power. Suppose a paper tells me, in "Table 1", that the standard deviation of $y$ is 0.8. And then it reports an ...
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### Asymptotic Distribution and Describe Sources of Increasing Power in an hypothesis testing problem

I am currently dealing with the following problem in a past exam (with no solution): Suppose $S$ follows the Poisson distribution with mean $2\lambda>0$, here $\lambda$ is a parameter. Another two ...
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### Power Analysis for Multiple Treatments per Respondent in Survey Experiment

I am running a vignette survey experiment with 6 total treatment options (5 treatments, 1 control), where each respondent randomly receives 2 of the treatment options and answers the same set of ...
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### Mixed model: Which parameters to provide for sample size calculations?

I am currently planning an analysis in a relatively new area of research and would like to provide data that will allow for future power analyses. Unfortunately, I am completely lost in the ...
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### Sample size calculation for proportional odds model

Apologies in advance for my lack of statistical knowledge/insight! I am trying to calculate the sample size for a clinical trial of treatment A versus placebo with primary outcome of prolongation of ...
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### Sample size calculation within-subject

I need to conduct a sample size analysis for an experiment with the following characteristics: One intra-subject independent variable is the type of cheese with two levels, Cheese A (1) and Cheese B (...
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### Calculating Sample Size for Cumulative Link Mixed Model (CLMM)

I am going to collect data in which each participant answers to 3 questions to 18 vignettes (each vignette has 3 questions), each question with likert scales 1-5. The dependent variables (questions) ...
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### Simulating Power Analysis for Mixed Models (lme4 and simr)

I would like to calculate an a-priori power analysis for a within-groups study with the following design: participant_id condition (within groups - A, B) covariate (scale 1-7) questionnaire items (...
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### Is the post-hoc observed effect size redundant with the p-value, just like post-hoc observed power is?

Assume for simplicity sake that we are running a 2-sample t-test on 2 normally distributed populations, from which we collect 2 i.i.d samples. (for a start; we can expand later to more complex cases). ...
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### Regression with depended predictors, animal study sample size [closed]

I have a few questions for help, One of my predictors is for treatment and control. Another predictor is dosage. Treatment group has 4 dose levels which control group only has one. Can I still use ...
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### Is it possible to calculate the power for a specific beta coefficient in a multiple linear regression?

I want to conduct a multiple linear regression where I am only interested in interpreting one beta coefficient but I will adjust for two additional covariates (i.e. three variables total). Is it ...
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