How Many Samples Do I Need for T Test?

How Many Samples Do I Need for T Test?
10 Answers. There is no minimum sample size for the t test to be valid other than it be large enough to calculate the test statistic. Validity requires that the assumptions for the test statistic hold approximately.

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Herein, what is a good sample size for t test?

A small sample is generally regarded as one of size n<30. A t-test is necessary for small samples because their distributions are not normal. If the sample is large (n>=30) then statistical theory says that the sample mean is normally distributed and a z test for a single mean can be used.

Likewise, how many values do you need for at test? A t-test is a type of inferential statistic used to determine if there is a significant difference between the means of two groups, which may be related in certain features. The t-test is one of many tests used for the purpose of hypothesis testing in statistics. Calculating a t-test requires three key data values.

Also know, do sample sizes need to be equal for t test?

If the sample sizes in the two groups being compared are equal, Student's original t-test is highly robust to the presence of unequal variances. Welch's t-test is insensitive to equality of the variances regardless of whether the sample sizes are similar.

Do you need normal distribution for t test?

The t-test is invalid for small samples from non-normal distributions, but it is valid for large samples from non-normal distributions. As Michael notes below, sample size needed for the distribution of means to approximate normality depends on the degree of non-normality of the population.

Related Question Answers

What is a statistically significant sample size?

Generally, the rule of thumb is that the larger the sample size, the more statistically significant it is—meaning there's less of a chance that your results happened by coincidence.

Why is 30 the minimum sample size?

For common page sizes and font sizes, somehow 30 appeared to be this limit and became so popular that “above 30 it is Normal” was repeated enough to become part of the folklore. Caveat: for random samples, sample mean is approximately t distributed with degrees of freedom. This means sample size should be at least 31.
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James H. Sterling

James Sterling reports on renewable energy developments, climate policy, ecological conservation, and green tech innovations around the globe.