Final answer:
To show that Σ2SSE is distributed as a χn−P′2 degrees of freedom, we need to understand the F-distribution and degrees of freedom.
Step-by-step explanation:
To show that Σ2SSE is distributed as a χn−P′2 degrees of freedom, we need to understand the F-distribution and degrees of freedom.
The F-distribution is used to test the equality of two population variances. In this case, Σ2SSE represents the sum of squared errors and is used as the test statistic. The degrees of freedom for the numerator (n1-1) and denominator (n2-1) are subtracted by 1. By comparing the calculated F value with the critical F value from the F-distribution table, we can determine the distribution of Σ2SSE.
For example, if we have n1 = 10 and n2 = 15, the degrees of freedom would be (10-1) and (15-1), respectively. Using these values, we can calculate the F value and compare it with the critical F value to determine the distribution.