Questions tagged [tost]

TOST, an acronym for Two One-Sided Tests, is a straightforward way of constructing a test of the "negativist" null hypothesis that two population statistics differ by no more than a small researcher-selected equivalence threshold.

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Epsilon parameter of the tost() function in the 'equivalence' R package

This is my first time using an equivalency test. I am using the tost() function in the 'equivalence' R package, and I want to test the hypothesis that these two groups are equivalent: ...
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Why is it not standard to include minimum practical effect size in null hypothesis?

I am a new to statistics. I am confused by the common practice of having a null hypothesis of the form $\theta = \theta_0$ in hypothesis testing. It would seem to me that, in many cases, we are not ...
1 vote
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How is median of the difference calculated in Mann Whitney U test (TOST)?

I'm running wilcox_TOST in R and below is the result. If Mann Whitney U test is equal to Wilcoxon Rank Sum Test and considering what this test does (e.g., ranking the data and summing the ranks etc.,) ...
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What do I do when I *want* to accept the usual null hypothesis?

I have samples from two random variables, and I'm assuming normal distribution with equal variance. I want to show that the distributions have equal means $\mu_1$ and $\mu_2$. The usual two-tailed t-...
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TOST procedure + power analysis: how to interpret t-value inside bounds

I conducted a TOST procedure according to the guidelines by Lakens [1] and received the results from the table below. For "discontinuity", "fragmentation" and "...
1 vote
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Equivalance testing when one of two (paired) samples has high variance

I have two paired samples of data that include the same number of observations (N = 878). My aim is to show that the mean difference between sample one and sample two is not statistically significant. ...
• 307
1 vote
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Is the Intersection of two one-sided confidence intervals equivalent to the two-sided confidence interval?

I am interested in testing for equivalence. I know about the TOST procedure, but many people who I work with do not, so I wanted to apply a method that they are more familiar with it. Specifically, I ...
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TOST on mediation result

Dear people of the internet I have made a mediation test on a multiple linear regression and it comes out insignificant. However, I am having trouble trying to make a TOST equivalence test of the ...
1 vote
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Does TOST equivalence test handles subgroups within the group?

I just started on statistics so this is pretty hard for me. I have two identical experiments. Each experiment have gene expressions for 12 samples with different conditions: untreated. Dosage 50. 100. ...
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When are equivalent TOST test possible?

For my end-of-study work in architecture, i am comparing different reconstruction (~10) distances from reference 3D model. I'd like to test if reconstruction are different using statistical tests. On ...
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Experimental Design for Equivalence Testing

I'm working on setting up a study that will test how quickly users click on various icons appearing on a computer screen using three different prototype mouse types. Subjects will visit on three ...
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1 vote
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Simulate Equivalence Test

I am trying to simulate a paired t-test equivalence test. I generate x and y from the same Normal distribution thus I expect to ...
• 7,420
327 views

Equivalence test for two samples of categorical data

Let's say I have two packets of sweets, which can either be red or black. The packets look different, but I think they were produced at the same factory. I decide that if the distributions of the ...
• 133
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Analysing TOST test output

I am given the following R output for a TOST test and would like to confirm whether my understanding is correct: p1 and p[2] are both <0.05 and thus one can reject the null hypothesis that both ...
1 vote
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Equivalence tests for non-normal data?

I have some data that I can't necessarily assume to be drawn from normal distributions, and I would like to conduct tests of equivalence between groups. For normal data, there are techniques like TOST ...