Randomized Block Design

 

PRACTICAL EXERCISE -6

RANDOMIZED BLOCK DESIGN

 

1. In an agricultural field experimentation, three fertilizers are applied in four randomized blocks and the yield of wheat in kgs are given below. Analyse the RBD experimental data and state the conclusions

I		II		III		IV
A 8		C 10		A 6		B 10
C 12		B 8		B 9		A 8
B 10		A 8		C 10		C 9

 

2. Analyse the following Randomized Block Design and compare its efficiency relative to CRD.

Treatments	Blocks
	I	II	III	IV
1	18	27	22	20
2	20	15	21	11
3	15	21	14	19
4	32	20	19	22
5	20	25	26	24

 

3. Four varieties of coal were analysed by six chemists and each content in the varieties was found to be as follows. Cary out the analysis of RBD experimental data after estimating the missing value.

varieties	Chemists
	I	II	III	IV	V	VI
1	18.5	15.7	16.2	14.1	13	13.6
2	11.7	-	12.9	14.4	16.9	12.5
3	15.4	16.6	15.5	20.3	18.4	21.5
4	16.5	18.6	12.7	15.7	16.5	18

4. Analyse the following Randomized Block Design after estimating the missing value. Also Compare the treatments T1 and T2 

                

Fitting of Negative Binomial Distribution-2

 

Practical Exercise -6

Fitting of Negative Binomial Distribution

(Recurrence relation for Probabilities Method)

 

1.     Fit a Negative Binomial distribution using recurrence relation of probabilities to the following data.

No. of Mistakes	0	1	2	3	4	5
Frequency	213	128	37	18	3	1

 

 

2.     Given the hypothetical distribution and fit Negative Binomial distribution using recurrence relation of probabilities method and calculate the expected frequencies

No. of Heads	0	1	2	3	4
frequency	109	65	22	3	1

 

3.     The number of failures preceding r^th success in an experiment was recorded as:

No. of failures (X)	0	1	2	3	4	5
Frequency (f)	214	125	41	16	3	1

 

Fit a negative binomial distribution using recurrence relation method

Fitting of Negative Binomial distribution-1

 

Fitting of Poisson Distribution - 2

 

Fitting of Poisson Distribution -1

 

Fitting of Binomial Distribution-2