TIME SERIES ANALYSIS AND INDEX NUMBERS — DU B.Sc (hons) Statistics Previous Year Question Papers

7. (a) Write a note on different errors in the measurement of Price and Quantity Index Numbers. (b) The table gives the average wholesale prices of four groups of commodities for the year 2001 to 2005. Compute chain base index numbers. Department of Statistics 4. Select two questions from each Section. (a) Fill in the blanks : (i) Increase in population in India represents the . component of a time series. (ii) A bomb blast in Delhi represents the component of a time series. (iii) Index numbers are known as -. (iv) Index numbers are expressed in (v) The condition for the circular test to hold good with usual notation is (b) Write the correct options for the following Multiple • Choice Questions : (i) A time series is a set of data recorded: (b) At time or space intervals (c) At successive points of time (d) All of the above (ii) The general decline in sales of cotton clothes in Delhi is attached to the component of the ! time series: 5. (a) What is an index number? Describe briefly the problems that are involved in the construction of an index number of prices. (b) Explain the cost of living index number? Describe in detail how it is constructed in general. (8,8) 6. (a) Explain the different tests for an ideal index number. (b) Compute price index and quantity index numbers for the year 2005 with 2000. as base year, using (i) Laspeyre's Method (ii) Paasche's Method Commodity Quantity Expenditure : Also examine which of the indices satisfy time reversal test. (8,8) (b) Calculate seasonal indices by the ratio to moving average method for the following data of the sales 4. (a) Explain the additive and multiplicative models of a time series stating clearly the assumptions and discuss their relative merits. (b) Given below are the figures of production (in thousand tons) of a sugar factory: (i) Fit a straight line by the method of least squares and compute the trend values. (i) Eliminate the trend by using additive model. (8,8) (a) Cyclic variation (b) Secular trend (c) Irregular variation (d) None of the above (iii) Salient factors responsible for seasonal variations are: (b) Social customs (d) All the above (iv) The weights used in a quantity index are : (d) None of the above (v) The equation, y, = i+Sert i e> O stands for: (a) Gompertz Curve 1 (b) Exponential curve (c) Logistic Curve (d) None of the above (c) State whether True or False. (i) Most preferred type of average for index numbers is geometric mean. (ii) Index numbers are expressed in ratios. (iii) Base period for an index number should be a period at distant past. (vi) Link relatives in a time series remove the influence of the trend. (v) Trend in a time series means only long-term regular movement. (d) Write the merits and demerits of the ratio to trend method. (e) In the construction of a certain cost of living index number, the following group index numbers were found. Calculate the cost of living index number by using the weighted arithmetic mean: