English
Hindi

Question

Download Solution PDF

Consider a Randomized Block Design with b blocks and k treatments. Let the observation corresponding to the ith treatment and the jth block be yij, 1 ≤ i ≤ k, 1 ≤ j ≤ b, which satisfies the usual linear model. Which of the following is true?

This question was previously asked in
CSIR-UGC (NET) Mathematical Science: Held on (26 Nov 2020)
Download PDF Attempt in App
View all CSIR NET Papers >
  1. The estimates of any two treatment contrasts are uncorrelated
  2. The error sum of squares has bk - 1 degrees of freedom
  3. The estimate of any treatment contrast is uncorrelated with the estimate of any block contrast
  4. The correlation between the estimates of two treatment contrasts is always negative

Answer (Detailed Solution Below)

Option 3 : The estimate of any treatment contrast is uncorrelated with the estimate of any block contrast
Free Tests
View all Free tests >
Free
Seating Arrangement
10 Qs. 20 Marks 15 Mins
Start Now

Detailed Solution

Download Solution PDF

 

The estimate of any treatment contrast is uncorrelated with the estimate of any block contrast

Option (3) is correct

Download Solution PDF
Latest CSIR NET Updates

Last updated on Jul 8, 2025

-> The CSIR NET June 2025 Exam Schedule has been released on its official website.The exam will be held on 28th July 2025.

-> The CSIR UGC NET is conducted in five subjects -Chemical Sciences, Earth Sciences, Life Sciences, Mathematical Sciences, and Physical Sciences. 

-> Postgraduates in the relevant streams can apply for this exam.

-> Candidates must download and practice questions from the CSIR NET Previous year papers. Attempting the CSIR NET mock tests are also very helpful in preparation.

‹‹ Previous Ques
Next Ques ››
Exams Tests Super Practice

More Mathematics Questions

Q1.Let d be the distance of the point of intersection of the lines \(\rm \frac{x+6}{3}=\frac{y}{2}=\frac{z+1}{1}\) and \(\rm \frac{x-7}{4}=\frac{y-9}{3}=\frac{z-4}{2}\) from the point (7, 8, 9). Then d2 + 6 is equal to :
Q2.The value of \(\rm 1+\left(1+\frac{1}{3}\right)\frac{1}{4}+\left(1+\frac{1}{3}+\frac{1}{9}\right)\frac{1}{16}+\left(1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}\right)\frac{1}{64}+..\) is
Q3.If * is a binary operation defined as \(\rm a*b=\frac{ab}{2}\), then the identity element with respect to this binary operation is: 
Q4.What is the length of the perpendicular drawn from point (3, 4, 5) to line \(\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}\) ?
Q5.The coordinates of that point, where the line \(\frac{x-1}{2}=\frac{y-2}{-3}=\frac{z+5}{4}\) cuts the plane 2x + 4y - z = 3, are
Q6.Which of the following philosophies claimed that Vasna and Trishna lie at root of human suffering?
Q7.Which is the least important factor in teaching?
Q8.Which statement is not correct in the context of language teaching?
Q9.The ultimate goal of education in Jainism is

More Mathematics Questions

Q1.log10 10000 = _______?
Q2.Consider a system equation \(2x+y-z=0\), \(4x - py + 4z = 4\) and \(x-y+z=q\) where \(p, q \in I\) and \(p, q \in [1, 10]\), then identify the correct statement(s).   List-I List-II (I) Number of ordered pairs \((p, q)\) for which system of equation has unique solution is (P) 1 (II) Number of ordered pairs \((p, q)\) for which system of equation has no solution is (Q) 9 (III) Number of ordered pairs \((p, q)\) for which system of equation has infinite solution is (R) 91 (IV) Number of ordered pairs \((p, q)\) for which system of equation has atleast one solution is (S) 90
Q3.Match List I with List II:   List - I List - II (I) The number of solutions of the equation\((1 - \cos 2x)(\cos 2x + \cot^2 x) = 0\) where \(0 \le x \le 2\pi\) is (P) 4 (II) \(\tan 81^\circ - \tan 63^\circ - \tan 27^\circ + \tan 9^\circ\) equals (Q) 3 (III) The number of solutions of (x, y), which satisfy |y| = sin x and y = cos-1(cos x), where -2π ≤ x ≤ 2π is (R) 2 (IV) For the equation \(\cos^{-1}x + \cos^{-1}2x + \pi = 0\), the number of real solutions is (S) 1     (T) 0  
Q4.If Σn = 36, find n
Q5.If log 2 = 0.2614, log 3 = 0.3521, log 6 = ?
Q6.The growth model for a population is Nt = N0ert where Nt is the population at time t, N0 is the initial population and r is the per capita growth rate. How long does it take for the population numbers to double?
Q7.Suppose that the growth rate of the number of individuals (N) in a population in an environment with a carrying capacity K is modelled as \(\frac{d N}{d t}=r N \frac{K-N}{K}\) where r is the per capita growth rate and t is time; r and K are positive constants. At which of the following values of N will the population growth rate be the maximum?
Q8.The shadow of a vertical pole, formed due to a nearby lamp which is at a height of 12 m, measures 4 m. If the lamp is moved horizontally 2 m further away from the pole, the length of the shadow measures 8 m. What is the height (in m) of the pole?
Q9.A pack of cards contains 4 aces, 4 kings, 4 queens and 4 jacks. Out of these 16 number of cards, two cards are drawn at random. Find the probability that at least one of them is an ace :
Q10.If the equations 2x2 + kx - 5 = 0 and x2 - 3x - 4 = 0 have one root common, then find the value of k.
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti star login teen patti master gold teen patti online