Kerala PSC Previous Years Question Paper & Answer
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Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'LECTURER IN STATISTICS KERALA COLLEGIATE EDUCATION' And exam conducted in the year 2014. And Question paper code was '122/2014'. Medium of question paper was in Malayalam or English . Booklet Alphacode was 'A'. Answer keys are given at the bottom, but we suggest you to try answering the questions yourself and compare the key along wih to check your performance. Because we would like you to do and practice by yourself.
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Under a 2%-factorial design, what interaction is confounded with the following blocks ?
Block1: (1) ad ac ab எம் bd bc abed
81015021. ೩ 6 نا ٥ கம் abd abe bed
(A) AB (B) AC (೧. ABC (D) ABCD
Consider the linear model :
+20 - .20+ 0 < رلا
ہے +0 - 30+ ٥< وہ
1/3 = 92 + 03 1€3
Where y, are observations, 8; are parameters and ¢, are uncorrelated random variables with
mean zero and constant variance for i=1, 2, 3. Then which of the following is true ?
(ಗಿ) 2\/1 =¥~ yy is an unbiased estimator of 0; —40,
(8) 2y, ~y>—yyis the BLUE of 0, —40,
(ಲ) ೫-315 the BLUE of 9] - 40;
(2) y; —4yy is an unbiased estimator of 9 - 49
the ANOVA for an RBD with 4 blocks and 6 treatments having one missing value which صا
is estimated, the error degrees of freedom is :
(A) 14 ® 5 (© 23 (D) 24
For which of the following set of values will a Balanced Incomplete Block Design of parameters
(೪, |, 1, ಓ ண்ட
(A) v=11,b=22, r=6 k=3, A=1 ൫
(©) v=21,b=4,r=4, k=21, A=4 (D)
= 2
= 1
v
v
7, ४
=7.b
7, r=4, k=4 \
6;r=3, k=3 \
Test statistic for test the significance of difference between variance of two normal populations
with known means based on twe independent samples of sizes m and n respectively
follows :
(A) an F distribution with (m~1, n—1) d.f.
(8) at distribution with (m+n) १.
(C) at distribution with (m+n-2) d.f.
(12) an F distribution 110 (111, விம்
If Xy, Xop ടം X,, is a random sample from a normal distribution N(g, 6?) then the MLE of
o2 when p is known 5?
(ಗಿ) Unbiased and consistent (8) Unbiased but not consistent
(८) Consistent but not unbiased (D) Neither consistent nor unbiased
17 20. 15%. ........ಿಗ್ಗಿ 15 @ random sample from a population with density function
1 A2 n P pop ty
1 ححا
1(ಜ) رف > م > م الاح 2 د then the MLE of the parameter 0 is :
(A) Max (X;, ل .. موك (B) ल्या ೦ ೫, ೫, ..
(८) Min (X, X, .. 2೭) (12) एतवा ण X;, X,
A test with size © and power B is said ما be an unbiased test if :
(ಗಿ) €> B a=1-p € asp D) » < 1-8
122/2014 8 A
