Fitting of Exponential Distribution

 GAYATRI VIDYA PARISHAD COLLEGE FOR DEGREE AND P.G. COURSES (S)

PRACTICAL EXERCISE - 9

FITTING OF EXPONENTIAL DISTRIBUTION

1. Fit exponential distribution to the following data and also to calculate excepted frequencies.

x	0	1	2	3	4
f	368	72	52	7	1

2. The study relates to divorced cases in western countries between the time interval and get marriage. Fit expeonential distribution.

No. of Years	0-3	3-6	6-9	9-12	12-15	15-18
No. of Persons	190	70	25	10	4

Statistical Inference Practical Exercises

Kindly note down the Practical Exercise from the given link

 Practical Exercises

23-Factorial Experiment Analysis

 

2³ - Factorial Experiment Analysis

1. The following table gives the layout and the results of a  2³ factorial design laid out in four replications. The purpose of the experiment is to determine the effect of different kinds of fertilizers Nitrogen (N), Potash (K) and Phosphate (P) on potato crop yield. Analyse.

Block-1
nk 291	kp 391	p 312	np 373
1 101	k 265	n 106	npk 450
Block-2
kp 407	p 324	k 272	nk 306
n 89	npk 449	np 338	1 106
Block-3
p 323	1 87	np 324	kp 423
nk 334	k 279	n 128	npk 471
Block-4
np 361	nk 272	n 103	p 324
k 302	1 131	npk 437	kp 435

2. Analyse the   2³ factorial design

Blocks	Treatments
B1	npk 49.3	(1) 47.2	k 45.3	np 63.4	p 44.7	n 62.7	nk 57.9	pk 50.6
B2	p 56.6	nk 50.2	k 55.8	np 52.3	(1) 51.2	npk 59.8	pk 47.7	n 60.3
B3	p 63.2	npk 56.8	k 57.3	(1) 51.1	n 70.2	nk 55.3	pk 53.2	np 59.8
B4	(1) 43.2	np 38.2	npk 52.5	n 61.2	nk 69.3	pk 48.3	p 42.3	k 52.1

 

22-Factorial Experiment Analysis

 

2²-Factorial Experiment Analysis

1. An experiment was planned to study the effect of sulphate of potash and super phosphate on the yield of potatoes. All the combinations of 2 levels of super phosphate (0% and 5 % per acre) and two levels of sulphate of potash and (0% and 5 % per acre) were studied in randomized block design with 4 replications of each. The yields are obtained and given. Analyse the data and give your conclusions.

Block	Yields (lbs per plot)
I	(1) 23	k 25	p 22	kp 38
II	p 40	(1) 26	k 36	kp 38
III	(1) 29	k 20	pk 30	p 20
IV	kp 34	k 31	p 24	(1) 28

2. Below are given the plan and yields of 2² factorial experiment involving 2 factors N and S each at two levels 0 and 1. Analyse the design. Does the treatment effect N differ from the treatment S significantly.

Block-1
(1) 117	s 106	ns 125	n 124
Block-2
ns 124	(1) 120	s 117	n 124
Block-3
(1) 111	n 127	s 114	ns 126
Block-4
ns 125	n 131	s 112	(1) 108
Block-5
ns 95	s 97	(1) 73	n 138
Block-6
n 158	(1) 81	ns 125	s 117