SRM University 2007 B.Tech Bioinformatics BANK MA262 BIO STATISTICS - Question Paper

ques. BANK

MA262 BIO STATISTICS
UNIT: IV ANALYSIS OF VARIANCE
PART – A
1. What do you mean by analysis of variance?
2. State the basic assumptions in analysis of variance.
3. What is meant by degrees of freedom ?
4. What is the test statistic used to test the significance of the difference ranging from the means of 2 small samples ?
5. Give an estimate of the population variance in terms of variances of 2 small samples . What is the associated number of freedom?
6. What is the test statistic used to test the significance of the difference ranging from the means of 2 small samples of the identical size? What is the associated degree of freedom ?
7. Write down the Anova table for 1 way layout of Anova .
8. Write down the Anova table for 2 way layout.
9. Define critical difference.
PART – B
1. ?i?A test was provided to 5 students taken at random from the 5th class of 3 schools of a town.The individual scores are
School I 9 7 6 5 8
School II 7 4 5 4 5
School III 6 5 6 7 6
Carry out the analysis of variance and state your conclusions.

?ii?Three processes A,B & C are tested to see whether their outputs are equivalent .The subsequent observations of outputsare made:
A 10 12 13 11 10 14 15 13
B 9 11 10 12 13
C 11 10 15 14 12 13
Carry out analysis of variance and state your conclusions.

2. ?i? 3 varieties of coal were analysed by 4 chemists and the ash-content in the varieties was obtained to be as under:

varieties Chemists
1. 2. 3. 4.
A 8 5 5 7
B 7 6 4 4
C 3 6 5 4
Do the varieties differ significantly in their ash-content ?



?ii? Carry out analysis of variance for the data of yeilds of seven varieties , five observations being taken on every variety.

Observation No. Variety
1. 2. 3. 4. 5. 6. 7.
1. 13 15 14 14 17 15 16
2. 11 11 10 10 15 9 12
3. 10 13 12 15 14 13 13
4. 16 18 13 17 19 14 15
5. 12 12 11 10 12 10 12

3. To assess the significance of possible variation in performance in a certain test ranging from the grammar schools of a city, a common test was provided to a number of students taken at random from the senior 5th class of every of the 4 schools concerned. The outcomes are provided beneath. Make an analysis of variance of data.

School
A B C D
8 12 18 13
10 11 12 9
12 9 16 12
8 14 6 16
7 4 8 15

4. A Tea company appoints 4 sales man A,B,C and D and observes their sales in 3 seasons – Summer, Winter and Monsoon. The figures ( In lacks) are provided in the subsequent Table.

Seasons Sales man
Summer 36 36 21 35
Winter 28 29 31 32
Monsoon 26 28 29 29

Carry out an Analysis of variance
1. Performa 2 – way data provided beneath.

Cost of Land Treatment
I 38 40 41 39
II 45 42 49 36
III 40 38 42 42


( Use Coding Method subtracting 40 from the provided number)

5. To test the significance of the variation of the readily price of the commodity in 3 principal cities, Bombay Calcutta and Delhi 4 shops were chose at random in every city and prices observed in Rupees were as follows.


Bombay 16 8 12 14
Calcutta 14 10 10 6
Delhi 4 10 8 8

Do the date indicate the prices in the 3 cities are significantly significant.


6. The subsequent table provide table provide monthly sale ( in thousand Rupees) of a ciratain firm in 3 statis by its 4 salesman.

States I II III Iv
A 6 5 3 8
B 8 9 6 5
C 10 7 8 7


Set up the analysis of variance table and test whether there is any significant difference.

(i) between sales by the firms salesman.
(ii) Between sales in the 3 states.
7. A test was provided by five students chosen at random from the m.com class of every of 3 universities in Tamilnade there scores were obtained as follows.

University Scores
A 90 70 60 50 80
B 70 40 50 40 50
C 60 50 60 70 60


Perform analysis of variance and show it there is any significant various ranging from the scores of students in the 3 universities.

(Given F 5% = 3.44)

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Earning:   Approval pending.