## STA408 GDB Spring 2024 – GDB – Solution VU

**STA408 GDB Spring 2024**

Starting Date Wednesday, June 02, 2024

Closing Date Tuesday, June 08, 2024

Status Open

Question Title GDB No. 1

Question Description

What may be the possible reasons for missing observations in RCBD and why we need to compute the Efficiency of RCBD relative to CRD? Write he mathematical model of the Latin Square Design.

Student’s Message:

**Part 1**

What may be the possible reasons for missing observations in RCBD?

We use RCBD because Sometimes it so happens that some experimental units or observations are missing,

For example

1 Uprooted plant

2 Died animals

3 Records lost

4 Broken flasks

**Part 2**

Why we need to compute the Efficiency of RCBD relative to CRD?

For experimental design, efficiency relates to the ability of a design to achieve the objective with minimal expenditure of resource such as time and money

Its relative efficiency is usually expressed in term of a ration of error variances.

**Part 3**

Write he mathematical model of the Latin Square Design.

The Latin square model assumes that there are no interactions between the blocking variables or between the treatment variable and the blocking variable. Actually, in many cases, Latin squares are necessary because one such combination of levels from two blocking factors can be combined with one treatment, and not all

Procedure to make Latin square model.

In LSD, we have three factors

1: Make the first row

2: Make the first column

3: Continuous filling in the column sequentially until the square is completed

**Example**

3 x 3

A

B

C

B

C

A

C

A

B

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