Math Problem Solver

Two Way Classification

1. Three varieties of coal were analysed by 4 chemists and the ash content is tabulated here.

Perform an analysis of variance.

Chemists

A B C D

I 8 5 5 7

Coal II 7 6 4 4

III 3 6 5 4

2. Perform a 2- way ANOVA on the data given below;

Treatment 1

1 2 3

Treatment 2 1 30 26 38

2 24 29 28

3 33 24 35

4 36 31 30

5 27 35 33

Use the coding method subtracting 30 from the given number.

3. The table shows the yield of paddy in arbitrary units obtained from 4 different varities

planted in five blocks where each block is divided into four plots. Test at 5% level whether

the yields vary significantly with (i) soil differences (ii) differences in the type of paddy.

Blocks Types of Paddy

I II III IV

A 12 15 10 14

B 15 19 12 11

C 14 18 15 12

D 11 16 12 16

E 16 17 11 14

4. Table below shows the seeds of 4 different types of corns planted in 3 blocks. Test at 0.05

level of significance whether the yields in kgs per unit area vary significantly with different

types of corns.

Types of Corns

I II III IV

A 4.5 6.4 7.2 6.7

Blocks B 8.8 7.8 9.6 7.0

C 5.9 6.8 5.7 5.2