Index Numbers-2

 Practical Exercise - 5

Computation of Cost of Living index

1. Calculate cost of living index number using the method of weighted aggregates method and method of weighted average price relatives for the following data. By deflating money wage also find real wage, if average monthly income in 2004, 2006, 2007 are 10,000, 11,500 and 12,500.

2. From the following data calculate cost of living index number (i). By aggregate expenditure method (ii) By family budget enquiry method.

Index Number -1

 

Practical Exercise - 4

Computation of Price and Quantity Indices 

and 

Test for Adequacy of Good Index Number 

1. From the following data construct price and quantity indices using 2000 as base year using (i). 

aggregate price index (ii) average of price relatives index (iii) Weighted price index using Laspeyre's, 

Pasche's, Marshall Edgeworth's and Fisher's formula  Examine whether satisfies Time Reversal and 

Factor Reversal Tests

2. From the following data, construct Price and Quantity Indices by using weighted aggregate 

methods and also examine whether these indices satisfy the Criteria of good index number

3.From the following data, calculate Price and Quantity indices for the year 2005 with 2000 as base year by using Fisher's method. Examine Fisher's index method satisfy the TRT, FRT and CT

Determination of Seasonal Indices -2

 Practical Exercise-3

Computation of Seasonal Indices by Using  Link Relative Method

1. Compute the seasonal indices by the 'Link Relative Method' for the adjoining data relating to the         average quarterly prices (Rs. Per Kg) of a commodity for five years. 

2. Compute the seasonal Indices  by Link Relative method for the following data related to big departmental store for five different years

3. Compute the seasonal Indices from the following time series data on production by Link Relative Method

Determination of Seasonal Indices -1

 PRACTICAL EXERCISE -2

DETERMINATION OF SEASONAL INDICES

PART-A

Method of Simple Averages

1. Obtain seasonal indices by using simple averages method to the following data

2. Determine seasonal indices by method of simple averages to the following data

PART - B

Ratio-to Trend Method.

1. Obtain seasonal indices to the following data by using ratio-to trend method

                    2. Obtain seasonal indices to the following data by using ratio-to trend method

PART -C

Ratio-to Moving Average Method

1. Calculate seasonal Indices by the ratio to moving average method from the following data

2. Apply ratio-to moving average method, ascertain seasonal indices from the following data

 

Fitting of Geometric Distribution - 2

 

Practical Exercise -8

Fitting of Geometric Distribution

 (Recurrence relation method)

 

1.     Fit the Geometric distribution to the following data by recurrence relation for probabilities method

x	0	1	2	3	4	5	6
f	460	140	45	25	18	10	2

 

 

2.     Fit a Geometric distribution to the following data by recurrence relation method

X	0	1	2	3	4	5
f	201	70	41	20	7	1

 

Fitting of Geometric Distribution -1

 

Practical Exercise -7

Fitting of Geometric Distribution

 (Direct Method)

 

1.     Fit the Geometric distribution to the following data by direct method

x	0	1	2	3	4	5	6
f	120	48	20	7	3	1	1

 

 

2.     Fit a Geometric distribution to the following data by direct method

X	0	1	2	3	4	5
f	201	70	41	20	7	1

 

 

3.     The following distribution relates to the number of accidents to 650 women working on highly explosive shells during 5-week period.

No.of accidents	0	1	2	3	4	5
frequency	450	132	41	22	3	2

Fit a Geometric distribution by direct method

Latin Square Design (LSD)

 

LATIN SQUARE DESIGN

 

1. Analyse the following Latin Square Design

A 12	C 19	B 10	D 8
C 18	B 12	D 6	A 7
B 22	D 10	A 5	C 21
D 12	A 7	C 27	B 17

 

2. Analyse the Latin Square Design experimental data and also fine the efficiency of this design relative to CRD and RBD

D 29.1	B 18.9	C 29.4	A 5.7
C 16.4	A 10.2	D 21.2	B 19.1
A 12.3	D 38.4	B 24	C 37
B 24.9	C 41.7	A 9.5	D 28.9

 

 3. The following are the results of LSD on the effects of 5 manual treatments A, B, C, D and E on the yield of sugarcane test whether the treatments are equally effective. Estimate the missing value and analyse.

405 B	525 A	463 E	441 D	481 C
325 C	445 D	429 B	513 A	493 E
471 E	492 B	472 A	381 C	? D
430 D	469 E	432 C	467 B	460 A
552 A	431 C	425 D	572 E	451 B

4. The layout given in adjoining table represents a Latin Square Experiment with 4 blocks and 4 treatments a, b, c and d each one is replicated 4 times, in which one observation is missing value and analyse the design.

120 a	112 b	110 c	100 d
115 b	118 a	102 d	105 c
122 c	* d	121 a	100 b
110 d	115 c	120 b	130 a