Questions tagged [paired-comparisons]

methods for comparison when the measurements to be compared are used each on the same subjects, so for each subject we get a pair of measurements.

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How to display error bars for cross-over (paired) experiments

The following scenario has become the Most-FAQ in the trio of investigator (I), reviewer/editor (R, not related to CRAN) and me (M) as plot creator. We can assume that (R) is the typical medical big boss reviewer, who only knows that each plot must…
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Difference in Means vs. Mean Difference

When studying two independent samples means, we are told we are looking at the "difference of two means". This means we take the mean from population 1 ($\bar y_1$) and subtract from it the mean from population 2 ($\bar y_2$). So, our "difference of…
user84756
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How can I predict the odds that a dodgeball team is going to win based on the winning history of its players?

Imagine there are 80 dodgeball players in the world. Each of them has played thousands of dodgeball games with the other 79 players in more-or-less random order. This is a world without teams (e.g., every player has a chance of being drafted in…
Behacad
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Paired t-test for binary data

I have one sample with n=170 and two binary variables (A,B) that can take as a value 1 or 0, where 1 counts as a success and 0 counts as a failure. What I want to know is whether the means of these two variables are equal. To find this out I…
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Relative efficiency of Wilcoxon signed rank in small samples

I have seen in published literature (and posted on here) that the asymptotic relative efficiency of the Wilcoxon signed rank test is at least 0.864 when compared to the t test. I have also heard that this only applies to large samples, although some…
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Why do zero differences not enter computation in the Wilcoxon signed ranked test?

The Wilcoxon signed ranked test tells us if the median difference between paired data can be zero. The test is executed by computing a statistic, then a z-score and comparing it to a critical value. The thing that I find shocking is that we…
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When does an unpaired test result in higher p-value than a paired test?

I determined some parameter in a group of subjects under two conditions, such that each subject was tested in both conditions. I want to know if the condition has an effect on the parameter. My design is obviously paired. However, previous…
Viktor
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How to calculate ratings/rankings from Paired comparison / Pairwise comparison of large data-sets?

As part of my graduate thesis (area: psychology) I have gathered preference data. The data includes approximately 50000 heads-up comparison between elementX and elementX. I have a total of 15 elements. The participant would be shown 36 comparisons…
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What is an "Unpaired Bland-Altman plot"?

I found this quote: Unpaired Bland-Altman plots were used to check systematic or bias errors in the SPECT myocardial uptake coefficients with respect to the reference standard PET data. in the following paper: ALHASSEN, Fares, et al.…
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Understanding formulation of hypotheses in difference between two sample means (z test)

Introduction When testing a sample against a population, one has one of the following sets of hypotheses: Two-tailed test: $H_0: \mu=\ldots$, i.e. "no difference", and $H_1: \mu\neq\ldots$ Right-tailed test: $H_0: \mu\leq\ldots$, and $H_1:…
Xiphias
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Computing Paired Samples (pre/post) Effect Size with Limited Information

I'm conducting a meta-analysis using the Hedge's g effect size statistic. Many of the studies are only reporting: pre-treatment mean score pre-treatment standard deviation post-treatment mean score post-treatment standard deviation sample…
Chuck
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Optimizing matching of players in a tournament round

I am an organizer for a board game tournament. All of our players have an internal Trueskill rating we calculate to assist us with matching opponents for each round of the tournament. For each round, we can pair any player up with any other player…
TorgoGuy
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What's the official name of a 1 to 1 line plot?

I'm wondering if there is a name for one to one line graphs. Is it qq-plots? Is the qq-plots applicable on all types of variables or only quantiles? In other words, what's the name of the graph that compare two variables to assess if one variable is…
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Difference or proportional

A report was claiming that older individuals were not appreciated at technology firms. They studied a dozen factory locations of a tech firm where employees could (anonymously) suggest process improvements on a bulletin board in the hallway. Others…
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Non-parametric version of paired t-test (Mann–Whitney U test)

I have data from 100 individuals doing a 2AFC under a control and a manipulated setting. I want to compare the means. I initially used a paired t-test. My supervisor noticed the distributions were not normal and recommended me using the Mann–Whitney…
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