Q‑Test Calculator with p‑value
Enter the observed Q‑Score, total sample size, and number of populations.
* Degrees of freedom: df = Total Sample Size – Number of Populations.
Step 1: Enter Parameters
e.g., 4.5
e.g., 90
e.g., 3
How It Works
The error degrees of freedom are computed as: $$ \text{df} = \text{Total Sample Size} – \text{Number of Populations}. $$
The p‑value is obtained by computing the tail probability of the Studentized Range (Q) distribution: $$ p = 1 – F_Q(Q; k, \text{df}), $$ where \(k\) is the number of populations.
Numerical integration (via Simpson’s rule) is used to approximate the CDF.