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Find the best survey software for you!
(Along with a checklist to compare platforms)
Take a peek at our powerful survey features to design surveys that scale discoveries.
Explore VoxcoÂ
Need to map Voxco’s features & offerings? We can help!
Find the best customer experience platform
Uncover customer pain points, analyze feedback and run successful CX programs with the best CX platform for your team.
We’ve been avid users of the Voxco platform now for over 20 years. It gives us the flexibility to routinely enhance our survey toolkit and provides our clients with a more robust dataset and story to tell their clients.
Steve Male
VP Innovation & Strategic Partnerships, The Logit Group
Explore Regional Offices
In today’s world, the value is statistics is simply and undeniably unmatched. We have an abundance of data coming from huge populations and you have to draw conclusions based on the parameters by using random sampling. Although, with importance comes difficulties and statistical methods used for such evaluations are not that simple to perform. It includes hypothesis formulation, testing and then based on the statistical process we decide to either accept or reject the hypothesis.Â
Two of such statistical hypothesis testing techniques are paired t-test and unpaired t-test. The key difference between both of them is that in paired t-test you compare the paired measures that match deliberately. Whereas in unpaired t-test you compare the means of two samples that have no natural pairing.Â
But just this isn’t enough to thoroughly understand both paired t-test and unpaired t-test. Hence, this article will see the difference between paired and unpaired t-test with a comparison chart.
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Feature | Paired t-test | Unpaired t-test |
Definition | A statistical test that compares the means and standard deviations of two related samples | A statistical test that compares the means and standard deviations of two unrelated or independent samples |
Also known as | Dependent t-test | Independent t-test |
Hypothesis |
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Variance | Does not assume equal variance between groups | Assumes equal variance between groups, in case of unequal variance use Welch’s test |
Assumptions |
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When to use | When an item or a group is to be tested twice | When comparing mean between two independent groups with equal variance |
Example scenarios |
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Pros |
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Cons |
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For this comparison, we will take an example: a doctor wants to see how a group of people respond to the same drug. Let’s take a look at the data:
To perform a paired t-test: the doctor will let the group of patients take drug #1 for one month and then measure the recovery. Then have them use drug #2 and then again measure the recovery equally.
Since each patient takes both the drugs, the doctor will take paired t-test and compare the mean of two tables to find out which drug is more effective.
To perform an unpaired t-test: the doctor will take 20 patients and randomly split them into two groups and make them take drug #1 and drug #2 separately.Â
Since the patient in the two groups is totally different and independent, the doctor will use an unpaired t-test to see which of the group has the higher mean and determine which drug will be more effective.
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