Transcript Document

5-8 What If We Have More Than
Two Samples?
𝐿𝑆𝐷 = 𝑡𝛼 2,𝑛−𝑟 𝑀𝑆𝐸 × (1
𝑛𝑖
+1
= 𝑡0.025,(24−4) 6.51 ×
𝑛𝑗 )
1
6
+1
=(2.086)(1.473) = 3.073
𝐻𝑆𝐷 = 𝑞𝑛−𝑟,𝑟 𝑀𝑆𝐸 (1 𝑛𝑖 + 1 𝑛𝑗 )/2
=𝑞20,4 6.51(1 6 + 1 6)/2
=(3.96)(1.042) = 4.125
6
5-8 What If We Have More Than
Two Samples?
Cut-off value for Fisher’s LSD = 3.071
Cut-off value for Tukey’s HSD = 4.124
20
15
10
5
22.2
17
15.7
10
7*
5.7*
-
1.3
-
10 12.2*
15.7 6.5*
17 5.2*
-
22.2 -
* Significantly different.