# Which post hoc test will be used when the data is unequal?

## Which post hoc test will be used when the data is unequal?

About the post-hoc test, different tests are selected based on the whether equal variance is assumed or not assumed. For example Tukey Kramer test is applied when variances are assumed equal whereas in the case of assumption that variances are unequal, Dunnets’s test is selected.

## When would you use Tukey Kramer test?

Tukey-Kramer test. If you reject the null hypothesis that all the means are equal, you’ll probably want to look at the data in more detail. One common way to do this is to compare different pairs of means and see which are significantly different from each other.

What statistical distribution do we use for the Tukey Kramer multiple comparisons?

The Tukey method uses the studentized range distribution. Suppose we have r independent observations y1., yr from a normal distribution with mean µ and variance s2.

### Why would you use the Tukey Kramer procedure?

Figure 1 – Data and ANOVA for Example 1 Since the sample sizes are unequal, we use the Tukey-Kramer test to determine which pairwise comparisons are significant.

### Can you do ANOVA with unequal sample sizes?

You can perform one way ANOVA with unequal sample sizes. You must consider the assumptions of Normality, equality of variance and independence ( that mentioned by Saigopal ) before using ANOVA and in a case of not correct assumption then you must use non-parametric test ( Kruskal-Wallis test ).

What is Tukey test for multiple comparison?

Tukey method. This test uses pairwise post-hoc testing to determine whether there is a difference between the mean of all possible pairs using a studentized range distribution. This method tests every possible pair of all groups.

## Is Tukey a post hoc test?

The Tukey HSD test is a post hoc test used when there are equal numbers of subjects contained in each group for which pairwise comparisons of the data are being made. Post hoc tests, like this one, literally mean after the fact.

## What is the difference between Tukey and Bonferroni?

Bonferroni has more power when the number of comparisons is small, whereas Tukey is more powerful when testing large numbers of means.

What does the Tukey test tell you?

The Tukey HSD (“honestly significant difference” or “honest significant difference”) test is a statistical tool used to determine if the relationship between two sets of data is statistically significant – that is, whether there’s a strong chance that an observed numerical change in one value is causally related to an …

### What is the Tukey-Kramer procedure?

Tukey and Kramer proposed a procedure for pairwise testing of means in a one-way analysis of variance with unequal sample sizes. The procedure is routinely applied after a significant overall F test, although the F test is not required.

### What test can be used to find where exact group differences lie?

You would use ANOVA to help you understand how your different groups respond, with a null hypothesis for the test that the means of the different groups are equal. If there is a statistically significant result, then it means that the two populations are unequal (or different).

What is Tukey Test for multiple comparison?

## What is the Tukey procedure for unequal sample sizes?

In this case, one has to calculate the estimated standard deviation for each pairwise comparison. The Tukey procedure for unequal sample sizes is sometimes referred to as the Tukey-Kramer Method.

## What is an example of Tukey-Kramer test?

Example 1: Analyze the data in range A3:D15 of Figure 1 using the Tukey-Kramer test to compare the population means of women taking the drug and the control group taking the placebo. This example is the same as Example 1 of Tukey HSD but with some data missing, and so there are unequal sample sizes.

How do you do a Tukey Kramer test in ANOVA?

Since the sample sizes are unequal, we use the Tukey-Kramer test to determine which pairwise comparisons are significant. Press Ctrl-m, select the Analysis of Variance option (or the Anova tab if using the Multipage interface) and choose the Single Factor Anova option.

### What is the Tukey-Kramer post hoc test?

The most commonly used post hoc test is the Tukey-Kramer test, which compares the mean between each pairwise combination of groups. The following example shows how to perform the Tukey-Kramer test in Excel.