What is the difference between equal variance and unequal variance?

What is the difference between equal variance and unequal variance?

The Two-Sample assuming Equal Variances test is used when you know (either through the question or you have analyzed the variance in the data) that the variances are the same. The Two-Sample assuming UNequal Variances test is used when either: You do not know if the variances are the same or not.

What is used to compare the variance of two independent samples?

Bartlett’s test can be used to compare two or more variances. This test is sensitive to the normality of the data. On the other hand, Bartlett’s test is more powerful if the samples follow a normal distribution. This is also a two-tailed test similar to the Levene’s test.

What does two sample unequal variance mean?

Your prime goal is not to ask whether two populations differ, but to quantify how far apart the two means are. The unequal variance t test reports a confidence interval for the difference between two means that is usable even if the standard deviations differ.

How do you know if two samples have equal variance?

An F-test (Snedecor and Cochran, 1983) is used to test if the variances of two populations are equal. This test can be a two-tailed test or a one-tailed test. The two-tailed version tests against the alternative that the variances are not equal.

How do you know if variance is unequal?

There are two ways to do so:

  1. Use the Variance Rule of Thumb. As a rule of thumb, if the ratio of the larger variance to the smaller variance is less than 4 then we can assume the variances are approximately equal and use the Student’s t-test.
  2. Perform an F-test.

How to do two independent sample unequal variance?

Two Independent Samples Unequal Variance (Welch’s Test) To conduct a two independent sample comparison of means test, you follow very similar steps as described in the one sample test with some modifications. For this problem, we want to compare the average weights of blue crabs in two river basins: (1) Tar-Pamlico and (2) Neuse River.

How to conduct two independent sample comparison of means?

To conduct a two independent sample comparison of means test, you follow very similar steps as described in the one sample test with some modifications. For this problem, we want to compare the average weights of blue crabs in two river basins: (1) Tar-Pamlico and (2) Neuse River.

How to compare two samples with different sample size?

-When the distribution is assumed to be normal and sample size, typically n>30 ; [test can be conducted, or data plotted to compare how close it is to a bell shape. Goodluck. There is an alternative to t-tests.

Which is the best test for comparing two population variances?

Minitab offers three (3) different methods to test equal variances. The F-test: This test assumes the two samples come from populations that are normally distributed. Bonett’s test: this assumes only that the two samples are quantitative. Levene’s test: similar to Bonett’s in that the only assumption is that the data is quantitative.