Linear Estimation, Gauss-Markov Theorem & Bas

If in the analysis of variance of a completely randomized design, the df. for the treatment sum of squares is 4 and the mean sum of squares due to error is 2, while the observed F-value for testing significance of treatment differences is 12.5, then which one of the following represents correctly the treatment sum of squares?

If two Latin squares each of the same order are such that when one is superimposed over the other, each symbol of one falls on each symbol of the other once and only once, then the two Latin squares are said to be

A medical device manufacturer produces vascular grafts using a randomized block design (RBD) with 4 extrusion pressure levels and 6 resin batches (blocks). The percentage of non-defective tubes is tabulated below with one missing observation $x$:

The value of $x$ by employing missing plot technique in RBD setup is:

An experiment was conducted using Randomized Block Design with 5 treatments and 4 replications and the ANOVA table is given below:

Let the treatment means be T1 = 65, T2 = 28, T3 = 25, T4 = 18, and T5 = 9. Given tabulated $t_{0.05}$ at 12 df is 2.18, find the Critical Difference (CD) and significantly different treatment groups:

Consider a greenhouse experiment on Tobacco Mosaic Virus (TMV). Each experimental unit was a single leaf on a plant and the data consisted of the number of lesions produced on the leaf by rubbing the leaf with a solution which contained the TMV. Each row of the design was a single plant. The columns were the ‘position’ from top to bottom, of the four leaves, which were used in each plant. Accordingly, the following Youden square design was constructed rep he Ee ohh er he Prhee ke re hee be Consider the following statements: