Thursday, 14 July 2022

ANOVA (One-way)

 

ONE WAY CLASSIFICATION OF ANALYSIS OF VARIANCE


1. The following table gives the retail prices of a commodity in some shops selected at random in         four cities. Carry out the analysis of variance to test the significance of the difference between the price of commodity in four cities. 



2. Four machines produce steel wire. The following data give the diameters at ten positions along the wire for each machine. Examine by performing the analysis of variance , whether the machine means can be regraded as constant.



3. Sample of pigs of each of four types were fed on the same ration over a period. The figures in the table denote increase in weight in lb. per pig at the end of the period. Do the sample means differ significantly.



Saturday, 5 March 2022

Life Tables

 Practical Exercise - 8

Construction of Life Table


1. Complete the life of the population of a certain types of insects, x being the age in days and lx=1000       for   x=0


2. Given the following table for lx, the number of rabbits living at age x, complete the life table


3. Fill in the blanks in a portion of life table given below



Tuesday, 22 February 2022

Mortality and Fertility Rates

 Practical Exercise - 6

Computation of Various Mortality, Fertility  Rates

1. Compute Crude and Standardized death rates of the two regions on the basis of given data and also             calculate  standardized death rates





2. Compute Crude and Standardized death rates of the two regions on the basis of given data and also         calculate  standardized death rates (hint: Consider A- region  population as standard population)


3. From the following data, calculate crude accident rates of the two factories A and B and also corrected accident rate of B taking A as the standard. 


4. Compute CBR, GFR, SFR and TFR from the given data.



5. Calculate CBR, GFR, SFR and TFR from the given data.



Sunday, 30 January 2022

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



Monday, 24 January 2022

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



Sunday, 23 January 2022

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 Exponential Distribution

  GAYATRI VIDYA PARISHAD COLLEGE FOR DEGREE AND P.G. COURSES (S) PRACTICAL EXERCISE - 9 FITTING OF EXPONENTIAL DISTRIBUTION 1. Fit exponenti...