Signals situations where one is concerned about achieving intended power and size when more than one hypothesis test is performed.

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3
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4answers
458 views

About the Bonferroni correction

I have 50 variables in my dataset. I have correlated each variable against each variable, thus I have $49·50/2 = 1225$ unique correlations when no variable is tested against itself. Now, suppose I ...
1
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1answer
38 views

How to test if many samples are from the same distribution

For each day of the week I observe $n_i$ independently chosen values from some process. I would like to be able to answer the following two questions. Are the distributions from which the samples are ...
2
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2answers
58 views

Should corrections for multiple comparisons be used when evaluating independent experiments?

I understand why corrections for multiple comparisons (e.g., the Bonferroni correction) are used in some cases. For example, if I run a a single experiment and check significance of many factors, the ...
0
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1answer
29 views

Multiple testing

I am regressing different dependent variables using same set of predictors for all dependent variables such as ...
0
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0answers
12 views

How to test differences in multiple pairwise distances? With mixed model?

I want to compare two set of variables: X1 = All the pairwise distances between individuals from group A and group ref R X2 = ALL the pairwise distances between individuals from group B and group ...
6
votes
0answers
74 views

Should we address multiple comparisons adjustments when using confidence intervals?

Suppose we have a multiple comparisons scenario like such as post hoc inference on pairwise statistics, or a multiple regression, where we are making a total of $m$ comparisons. Suppose also, that we ...
0
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0answers
5 views

post-hoc multiple comparisons with chi squared using spss v. 22

I am carrying out an analysis using a 4$\times$2 crosstab. I found an overall significant difference but I would like to find if there are significant differences among the 4 groups. Is there a way ...
0
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0answers
16 views

column proportions comparisons for one variable

I have a one variable with three categories like marriage/divorced/widowed. The counts are: 40, 23, 7. I use SPSS in this case. I know how to perform chi_squared test for this, and it shows that the ...
0
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1answer
21 views

How to compare concentration ratios

I did a spectrometry measurement with the evaluation of the concentration of an element. For the element of interest I've two peaks (with normal distribution). $ C_1 ± \sigma_1 $ where $ \sigma_1 ...
0
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0answers
25 views

Multiple comparisons, multidimensional data, several groups

Could you please help me with such a problem: Let's assume I have multidimensional data that consists of 30 samples and 10 variables. This is a 30x10 matrix. I have three groups of equal size (10 ...
0
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0answers
14 views

FDR calculation on non-p-value probabilities

From a meta analysis, I have a distribution of probabilities that are not p-values (i.e., they are not uniformly distributed when H0 is true). I am using these probabilities for an intersection-union ...
0
votes
0answers
16 views

regression analysis for dataset with few predictors and few samples

I have a small pilot dataset containing experimental measurements for 12 samples, 4 numeric predictors and 1 numeric outcome variable. The goal is to obtain a first rough estimate on the extent to ...
3
votes
2answers
16 views

Multiple comparisons when investigating consistency of a device

I am trying to compare the performance of two devices designed to cool anaesthetised patients. This is a substudy analysis and the patient allocation between the groups is not even. Once cooling was ...
0
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0answers
31 views

Correcting for multiple testing on non-independent sliding windows

Question Values taken from adjecent windows in a sliding windows are corrolated. If I calculate a p-value from each window, how can I correct for the fact I have tested many windows, given that the ...
1
vote
1answer
23 views

Distribution comparison across different treatments

if I have a table like this In which, site = different sites of measurement (tissue or organ) type = different types of virus And I want to ask something about the data 1.What test can I use to ...
4
votes
1answer
40 views

What is the intuition for dependence assumption in Benjamini and Hochberg (1995)?

For dealing with multiple testing, Benjamini and Hochberg (1995) assume that the tests are independent. Benjamini and Yekutieli (2001) show that (1) the 1995 result also holds under (I think) weaker ...
1
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0answers
16 views

Multiple comparisons on nested subsets of data for a non-parametric test

My problem: I'm using data sets where some are nested in a non-parametric test that expects independent data sets. How can I correct for that in a way that is reasonable? Or even better: What would ...
1
vote
1answer
23 views

Difference in difference model with 2 treatment groups

I have an experiment which has 2 treatment groups(effects) and a control group. Up until this point in my analysis, I've been carrying out a DID using a regression equation of the form: Y= γD_t + ...
1
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0answers
70 views

MHT: Pre-Selecting statistical tests without Bias

Summary: The last formula boxed in red (which is a modified log likelihood from logistic regression) is a special non-differentiable loss function that is adapted to contain a Bonferroni correction in ...
6
votes
2answers
128 views

The meaning of “positive dependency” as a condition to use the usual method for FDR control

Benjamini and Hochberg developed the first (and still most widely used, I think) method for controlling the false discovery rate (FDR). I want to start with a bunch of P values, each for a different ...
5
votes
2answers
100 views

Why am I getting a 10-15% type I error rate for a 2 x 2 ANOVA?

While testing type I error rate using R, I found that I am getting higher than 5% false positives with a 2-way ANOVA. However, I thought one of the reasons for using an ANOVA (as opposed to multiple ...
1
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0answers
17 views

How to adjust for multiple comparisons with a large number of ANOVAs?

I have a complex experimental design: 3 groups, each of which come on 4 occassions and I obtain recordings from 250 skin electrodes. I am interested in knowing which of the electrodes provides a ...
2
votes
2answers
32 views

Multiple comparisons with t-test: one group with different variance

If I have 3 groups that I want to compare with a t-test (correcting for multiple comparisons afterwards) but one of the groups has different variance than the other two, should I use a Welch ...
0
votes
0answers
23 views

Comparing multiple groups to a control group

I've made several biochemistry experiments, and in which I compare several groups to a control group. I want to compare the results of 8 such experiments, so basically I have 8 measurements in each ...
3
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0answers
23 views

Compact letter displays with non-estimable cases

Compact letter displays are similar to grouping bars often used to display the results of a multiple-comparison procedure, but can be used more generally. You give a list of sample means (or other ...
0
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0answers
14 views

Iinterpretation of coefficients of multiple comparisons in a logistic regression model

I'm confused about how to interpret coefficients in relation to the reference categories. I have two variables, A and M. A is a 3-level variable and M is a 4-level variable. The reference category for ...
0
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0answers
30 views

Why are Dunnett's p-values smaller than those from two-sample t-tests?

Since Dunnett corrects for multiple comparisons I would assume the p-value would always be higher than a direct two-sample t-test. I came across a situation where this was not the case. Possible ...
1
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1answer
21 views

Combining data sets that have been adjusted for multiple testing

I have what I think is a simple question. Let say I have 5 data sets with with a variable number of tests (say 1-10K) and I control the FDR in each set to 1% using BH. If I combine these BH ...
0
votes
1answer
18 views

How to compare the nested models which each of them comes from diffrent dataset?

I have four nested models.Every of them learned from different data sets. now I want to compare these models together.normally people try to compute the F-satistics. But for my case, it's bit harder, ...
0
votes
1answer
97 views

When to correct p-values in multiple comparisons?

I'm afraid that related questions didn't answer mine. We evaluate the performances of >2 classifiers (machine learning). Our Null hypothesis is that performances do not differ. We perform parametric ...
2
votes
2answers
185 views

Comparing performances during a race between 2 groups, which test should I use?

Imagine I organized a race between 2 types of ants. Type A and B. At the end of the race, I have the ranking, which looks something like : ...
3
votes
1answer
163 views

Multiple comparisons in a non-parametric test

I am working with a data set that is non-parametric and has 12 treatments. I performed the Kruskal-Wallis test and got a significant $p$-value, and now I would like to conduct a multiple comparisons ...
0
votes
1answer
96 views

FDR (multiple testing correction) with skewed p-value distribution

I am confused with multiple comparisons adjustments. I have a $p$-values with lot of ones ( due to many scores in foreground are 0) from a fisher-exact test. I get some $p$-values which are ...
2
votes
1answer
73 views

When should I use FDR or Bonferroni in multiple comparisons?

I have the following situations : (1) Very large number of variables - say 100 variables and 200 samples (observations). Although level of each variable is just 2 or 3 or 4 max. I am doing linear ...
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2answers
53 views

Multiple comparison on subgroups and overall comparison

I am trying to work out is there is any association between occurrence or not of an event in around 500 individuals and their randomised binary grouping (intervention vs placebo). However I also want ...
0
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2answers
27 views

What are correlations among between test statistics in multiple comparison procedures

In the book Multiple Comparisons Using R Bretz et al write that their R package multcomp improves power above other multiple comparison procedures by "accounting for the structural correlations ...
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0answers
19 views

Location test of the ratios of random variables

I've been struggling with this problem for a while now, with not much progress. Any suggestions would be helpful! Suppose I have $X_1, .., X_5, Y_1, ..., Y_5, X'_1, ..., X'_5, Y'_1, ..., Y'_5$, i.e., ...
0
votes
0answers
17 views

Multiple testing correction when confirming a correlation with an extended dataset

Consider a given dataset on which I performed a set of independent tests on different (non-independent) variables, and obtained several p-values. I estimated the number of independent tests as being ...
0
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0answers
20 views

Which multiple comparisons correction should I use?

I'm studying structure-function relationships in neurons and mainly focusing on correlations between dendritic length and excitability. My question is: When searching for correlations, which ...
2
votes
2answers
104 views

Multiple testing: contingency table or logistic regression approach for survey?

I have a survey asking a person's gender (M/F), geographic region (West, East, Midwest, South) and a few other demographic variables along with two dozen questions in which they can disagree / ...
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0answers
11 views

Correcting for multiple comparisons using simulated distribution

To check if unilateral pairs (defined below*) are coordinated (i.e. move together) in a flock of N coordinated individuals, we generate hypothetical (null) distribution of a certain focal parameter of ...
2
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0answers
38 views

MANOVA vs repeated measues ANOVA example

I have the following situation (4 independent treatment groups, each group is tested for 3 dependent variables) and was wondering what would be the best to do: What is the best test to do? I have ...
5
votes
1answer
176 views

Does testing for assumptions affect type I error?

I just performed simple simulation. Made two "populations" with different means and the same variance. Since I prepared them I know that they: are normal, differs in location and both have the same ...
1
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0answers
87 views

Multiple Hypothesis testing correction on non-independent data

Consider a vector $X_i$ with $i \in [1,N]$. Let us say that you divide the vector into two $X_{i}'$ with $i \in [1,j]$ and $X_i''$ with $i \in [j+1, N]$ for several $j$; then for each pair of ...
0
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0answers
42 views

ANOVA, unbalanced designs, missing data, and multiple comparisons

I am having several problems with my dataset and how best to analyze it. I have measured a series of plant phenology characteristics (with a seperate model for each one - I do not want to combine them ...
0
votes
1answer
26 views

How to summarize multiple adjusted pvalue into a single measure?

Suppose I have a test with multiple hypotheses. For example, if I have X as a gene set (a set of symbols), and A, B, C pathways (sets of symbols), I am testing if A is enriched in X, B in X, C in X ...
0
votes
0answers
25 views

Levene's test for multiple comparisions

by doing ANOVA of biological data from four species I've find that my data have unequal variance between the species. Now I would like to determine which species are different in this character. Is it ...
3
votes
1answer
121 views

How to analyze interdependent interaction terms of lmer model

Assume I test a number of patients repeatedly over time to see how a certain treatment changes their skin conductance in response to a certain colour (cond) after 2 ...
0
votes
0answers
43 views

Multiple hypothesis testing or simply p-value sum?

For a given dataset I test simultaneously $m$ different hypothesis, obtaining a p-value for each. Each of these hypothesis correspond to test if the values $X_i$, a measured quantity from the dataser, ...
0
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0answers
16 views

Multivariate multisample equivalence test

I have multiple observations from n groups\treatments. How to test the equivalence of n groups using all the variables? ...