New All India SEBI Grade A Scholarship Test on June 11, 2023
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Question

For completely randomized design for k treatments and n observations, yif = response from the jth unit receiving ith treatment, ∑i ∑j yij = y.. and ∑jni yij = yi. . Which of the following options is correct?

 

1.       ∑k i=1∑ni j=1 (yij – yi)2 represents sum of squares of due to error

2.       ∑k i=1 (yi – y..)2 represents sum of squares due to treatments

3.       ∑k i=1∑ni j=1 (yij – y..)2 represents total sum of squares

4.       ∑k i=1 ni (yij – yi)2 represents sum of squares due to treatments

A 1 Correct Answer Incorrect Answer
B 2 Correct Answer Incorrect Answer
C 3 Correct Answer Incorrect Answer
D 4 Correct Answer Incorrect Answer

Solution

The correct answer is B

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