Question

Question 10 of 20: Select the best answer for the question. 10. In a completely randomized design with k treatments with all pairwise comparisons of treatments to be made using a multiple comparisons procedure, determine the total number of pairwise comparisons for k 10 A. 100 B. 50 C. 45 D. 10 Mark for review (Will be highlighted on the review page) Previous Question Next Question

Answer 1

Solution : ( 10 )

$\mathrm{C.\quad\:\bold{45}}$

$\mathrm{Explanation\::}$

$\mathrm{Formula\:for\:the \:number\:of\:pairwise\:comparisons\:of\:treatments\:is\:}$

$\mathrm{=\frac{k*(k-1)}{2}}$

$\mathrm{Here\:given\:\:k=10,\:\:then}$

$\mathrm{=\frac{10*(10-1)}{2}}$

$\mathrm{=\frac{10*(9)}{2}}$

$\mathrm{=\frac{90}{2}}$

$\mathrm{=45}$

$\mathrm{Hence,\:\:the \:total\:number\:of\:pairwise\:comparisons\:for\:k=10\:\:is\:\:\bold{45}.}$