An equivalence study is designed to test whether one treatment is equal to another.

learn more… | top users | synonyms

6
votes
1answer
38 views

Quantile regression estimator formula

I have seen two different representations of the quantile regression estimator which are $$Q(\beta_{q}) = \sum^{n}_{i:y_{i}\geq x'_{i}\beta} q\mid y_i - x'_i \beta_q \mid + \sum^{n}_{i:y_{i}< ...
8
votes
4answers
986 views

Why do statisticians say a non-significant result means “you can't reject the null” as opposed to accepting the null hypothesis?

Traditional statistical tests, like the two sample t-test, focus on trying to eliminate the hypothesis that there is no difference between a function of two independent samples. Then, we choose a ...
4
votes
1answer
75 views

Use of Wilcoxon test for non-normal data akin to Two One Sided T-test

I'm analysing paired data for equivalency and it's not normally distributed, i.e., the difference of the paired result is not normally distributed due to, amongst other things, outliers. If it were ...
0
votes
1answer
61 views

How can I compare variables with uneven data sets?

I'm doing a stationary sport in which I use different colored equipment for different weather. I am recording my scores along with the color of the equipment and the weather in which I am using it. I ...
1
vote
0answers
27 views

Test when and how often 2 time series have similar values

I am monitoring two moving cars and collecting data on their instantaneous speeds three times per second for approximately two hours. I would like to create some kind of hypothesis that will tell me ...
1
vote
2answers
70 views

How to test (and accept) that a coefficient in a linear regression model equals zero

I understand that in a linear regression model like: $y_i = b_0 + b_1 x_i + \epsilon_i$ I can have a null and an alternative hypothesis: $H_0: b_1 = 0$ and $H_1: b_1 \neq 0$. And then I can ...
6
votes
1answer
363 views

Hypothesis testing for equality of proportions with 3 samples

I have a data set of cell phone customer information data with twocolumns. The first column contains the certain category that an account falls in (either A, B or C) and second column contains is ...
0
votes
0answers
56 views

Estimating sample size

I am working with an investigator planning a study to validate a device to measure blood pressure (BP). The investigator states a difference within +/- 5 mmHg, when the two devices are used by the ...
2
votes
0answers
61 views

One-way independent ANOVA where I expect two levels to be very similar and the other to be different. What's the right test?

I'm expecting Groups 1 & 2 to be very similar and Group 3 to be different. I'm using a very large data set and feel that power won't be an issue. Initially I felt that I'd then be expecting a ...
1
vote
0answers
16 views

Testing for equivalent variation within twins

I am interested in determining if, for a certain type of trait, there is just as much variation between twins as there are between non-related individuals. However, I am having difficulties in ...
1
vote
0answers
39 views

Making two equal groups from exponentially distributed data

I'm running an experiment where we are taking 1500 of a certain type of product and changing the price of half of them to see if this influences sales. There are 5 categories on which I will be ...
2
votes
3answers
156 views

Test if two samples are equal

I have two samples, say sample A and B, and a negative control. I expect that the sample A to be different than the negative control, so I use a t-test to check for that. Then, I expect sample B ...
10
votes
1answer
256 views

Null hypothesis of equivalence

Suppose $X_1, X_2, \, ... \, , X_n$ are a simple random sample from a Normal$(\mu,\sigma^2)$ distribution. I'm interested in doing the following hypothesis test: $$ H_0: | \mu| \le c \\ H_1: |\mu| ...
3
votes
2answers
174 views

Equivalence test for two multivariate normal distributions?

I'm trying to compare two samples from multivariate normal distributions to see if their distributions are equivalent (within a factor of epsilon). The standard version of this test is the energy ...
1
vote
0answers
29 views

Equivalence tests for STP3 - location of maximum power

Lehmann and Romano show in their Th 3.7.1 (Lehmann and Romano 2005, p81) when a UMP equivalence test $\phi_1$ exists and that it has a power that is maximised at some point $\theta^\star$ inside the ...
1
vote
1answer
206 views

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 ...
3
votes
0answers
48 views

How to use a meta-analysis to assess the equivalence of two different procedures?

I'm making a comparison of two surgical procedures, and I want to know how I can analyze the data I have for a meta-analysis. The overall surgical procedure is the same, but some authors choose to ...
2
votes
3answers
687 views

non-parametric two-sample equivalence tests with unequal sample sizes

I would like to compare means/medians of two samples that may be very skewed in size, e.g. 25 points and 1 or 2 points and test them for similarity, rather than difference. I realize that the power ...
2
votes
1answer
147 views

equivalence testing for a chi-squared test

I'm familiar with the concept of equivalence testing for testing whether two means are the same Is there an equivalent equivalence test as the counterpart to the chi-squared test for contingency ...
3
votes
2answers
168 views

What does statistical power mean when we are interested in the probability of correctly not rejecting the null hypothesis?

It seems that statisticians are usually only interested in statistical power. In other words, they are interested in the probability of correctly rejecting the null hypothesis. What if we are ...
0
votes
2answers
190 views

Restricted Boltzmann Machines and Markov Networks: relationship in inference?

I am wondering if there is some equivalence between retricted Boltzmann machines and pairwise Markov networks in terms of MAP inference. More specifically, let $y \in \{0,1\}^m$ be the ...
1
vote
0answers
33 views

How to test hypothesis of no group differences with repeated measures and determine the sample size?

I want to do a power analysis for a equivalence design but with repeated measures. Does anyone have a suggestion on how to proceed? Also, I want some suggestion on testing the difference of the means ...
2
votes
0answers
175 views

How do I estimate sample size for a single-sample equivalence test?

From literature I have a theoretically proposed value for human performance in a particular task. I want to experimentally measure performance in this task across a sample of humans and test whether ...
4
votes
0answers
221 views

Confidence interval for the biggest difference between means

I have a number of samples $X_1,\ldots,X_n $ from Gaussian distributions centered at $\mu_1,\ldots,\mu_n $ respectively. I need to construct a confidence interval for the biggest difference between ...
3
votes
2answers
1k views

Test to prove two means do not have a difference

I have a population that I measure a value from once a day. I then made a change, and continued to measure that same value from the same population. What test could I use to prove that my change did ...
18
votes
7answers
3k views

Is it possible to prove a null hypothesis?

As the question states - Is it possible to prove the null hypothesis? From my (limited) understanding of hypothesis, the answer is no but I can't come up with a rigorous explanation for it. Does the ...
14
votes
8answers
3k views

How to test hypothesis of no group differences?

Imagine you have a study with two groups (e.g., males and females) looking at a numeric dependent variable (e.g., intelligence test scores) and you have the hypothesis that there are no group ...
2
votes
1answer
112 views

Best method for comparing multiple ranging measures

I've been asked to give some advice for some clinicians who are comparing two different methods of blood pressure measurement. I suggested to them that we should proceed with a two-one-sided-test ...