Statitistic MCQ from books

Q1. ANOVA was developed by
(a) S.D. Poisson
(b) Karl Pearson
(c) R.A. Fisher
(d) W.S. Gosset

Correct Answer C

Q2. ANOVA technique originated in the field of
(a) Industry
(b) Agriculture
(c) Medicine
(d) Genetics

Answer (b) Agriculture

Q3. One of the assumptions of ANOVA is that the population from which the samples are drawn is
(a) Binomial
(b) Poisson
(c) Chi-square
(d) Normal

Correct Answer (d) Normal

Q4. In one-way classification the total variation can be split into
(a) Two components
(b) Three components
(c) Four components
(d) Only one components SSE
(d) SST+SSB

Correct Answer (a) Two components

Q5. The null hypothesis in the ANOVA is that all the population means are
(a) Equal
(b) Variable
(c) Unequal
(d) none of the above

Correct Answer (a) Equal

Q6. In one-way classification with 30 observation and 5 treatments the degrees of freedom for error is
(a) 29
(b) 4
(c) 25
(d) 150

Correct Answer (c) 25

Q7. In two-way classification the total variation TSS is
(a) SST+SSB+SSE
(b) SST-SSB+SSE
(c) SST+SSB-SSE
(d) SST+SSB

Correct Answer (a) SST+SSB+SSE

Q8. In two-way classification if TSS = 210, SST = 32, SSB = 42 then SSE =
(a) 126
(b) 74
(c) 136
(d) 178

Correct Answer (c) 136

Q9. In two-way classification with 5 treatments and 4 blocks the degrees of freedom due to error is
(a) 12
(b) 19
(c) 16
(d) 15

Correct Answer (a) 12

Q10. The formula for comparing three or more means in one-way analysis of variance is

(a) F=MST/FMSE
(b) F=TSS/FSST
(c) F=MSB/FMST
(d) F=MST/FMSB

Correct Answer (a) F=MST/FMSE

Q11. ———-test is used to compare three or more means.
(a) t
(b) χ2
(c) F
(d) Z

Correct Answer (c) F

Q12. When there is no significant difference among three or more means the value of F will be close to
(a) 0
(b) -1
(c) 1
(d) ∞

Correct Answer (c) 1

Q13. F-test is also called as
(a) mean ratio test
(b) variance ratio test
(c) variance test
(d) standard deviation ratio test

Correct Answer (b) variance ratio test

Q14. The Analysis of Variance procedure is appropriate for testing the equivalence of three or more population
(a) variances
(b) proportions
(c) means
(d) observations

Correct Answer (c) means

Q15. In two-way classification with ‘m’ treatments and ‘n’ blocks the degrees of freedom due to error is
(a) mn-1
(b) m-1
(c) n-1
(d) (m-1)(n-1)

Correct Answer (d) (m-1)(n-1)

Q16. If the calculated value of F is greater than the critical value at the given level of significance then the H₀ is
(a) Rejected
(b) Not rejected
(c) Always true
(d) Sometimes true

Correct Answer (a) Rejected

Q17. —– and —– causes are present in Analysis of Variance techniques
(a) Chance, error
(b) Fixed, block
(c) Assignable, chance
(d) Assignable, fixed

Correct Answer (c) Assignable, chance

Q18. In ANOVA, the sample observations are
(a) dependent
(b) independent
(c) equal
(d) unequal

Correct Answer (b) independent

Q19. The correction factor is —– in ANOVA (with the usual notations).

Correct Answer C

Q20. Mean Sum of Squares is the ratio of Sum of Squarea to its
(a) number of blocks
(b) number of treatments
(c) degrees of freedom
(d) total sum of squares

Correct Answer (c) degrees of freedom