## How is Tukey-Kramer calculated?

Thus, our Q critical value can be calculated as: Q critical value = Q*√(s2pooled / n.) = 3.53*√(19.056/10) = 4.87….Example: Tukey-Kramer Test in Excel

- Q = Value from Studentized Range Q Table.
- s2pooled = Pooled variance across all groups.
- n. = Sample size for a given group.

**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.

**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.

### How is Tukey’s test calculated?

Manually Calculating Tukey’s Test

- # q-value q.value <- qtukey(p = 0.95, nmeans = k, df = N – k) q.value.
- # Tukey Honestly Signficant Difference tukey.hsd <- q.value * sqrt(mse / n) tukey.hsd.

**Why would you use the Tukey-Kramer procedure?**

Since the sample sizes are unequal, we use the Tukey-Kramer test to determine which pairwise comparisons are significant.

**What is Q in Tukey test?**

Named after John Tukey, it compares all possible pairs of means, and is based on a studentized range distribution (q) (this distribution is similar to the distribution of t from the t-test.

## Why would you use the Tukey Kramer procedure?

**What does the Tukey Kramer test tell us?**

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 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.

**How do you calculate Tukey’s test?**

Tukey’s test is based on a formula very similar to that of the t -test. In fact, Tukey’s test is essentially a t -test, except that it corrects for family-wise error rate . The formula for Tukey’s test is: q s = Y A − Y B S E , {displaystyle q_ {s}= {frac {Y_ {A}-Y_ {B}} {SE}},}.

**Does the Tukey method apply to all pairwise comparisons?**

The Tukey method applies simultaneously to the set of all pairwise comparisons $$ \\{ \\mu_i – \\mu_j \\} \\, . $$ The confidence coefficient for the set, when all sample sizes are equal, is exactly \\(1 – \\alpha\\). For unequal sample sizes, the confidence coefficient is greater than \\(1 – \\alpha\\).