Applied Statistics-Time Series Analysis [ISS (Statistical Services) Statistics Paper III]: Questions 1 - 7 of 17
Choose Programs:
🎓 Study Material (39 Notes): 2024-2025 Syllabus
Rs. 100.00 -OR-
3 Year Validity (Multiple Devices)
Topic-wise Notes & SampleDetails
🎯 131 Questions (& PYQs) with Full Explanations (2024-2025 Exam)
Rs. 350.00 -OR-
3 Year Validity (Multiple Devices)
CoverageDetailsSample Explanation
Help me Choose & Register (Watch Video) Already Subscribed?
Question 1
Appeared in Year: 2015
Describe in Detail Subjective▾
List the main components of a times series. Explain the method of link relative for measurement of seasonal fluctuations of a times series.
EditExplanation
The main components of a times series are the following:
(i) Secular Trend (T) : Long term movements in the mean
This measures smooth and regular long-term movements of a times series delineating the increasing, decreasing or stagnant trend over a long span of time.
(ii) Seasonal Variation (S) : Cyclical fluctuations related to the calendar
Short-term …
… (86 more equations) …
Question 2
Appeared in Year: 2009
Describe in Detail Subjective▾
Explain ratio to moving average method for calculating seasonal indices.
EditExplanation
Ratio to moving average method is an improvement over the ‘ratio to trend’ method as it removes the cyclic fluctuations, which remain closely mixed with the seasonal indices calculated under ‘ratio to trend method’ . Here seasonal indices are calculated based on the moving average trend instead of a least square trend.
Further, both the trend and th…
… (176 more words) …
Question 3
Appeared in Year: 2009
Write in Short Short Answer▾
Describe the Yule -Slutsky effect of moving average operation on the random component of a time series.
EditQuestion 4
Appeared in Year: 2011
Describe in Detail Subjective▾
Explain moving average [m, p] . Let with p = 1 and m = 2k + 1, obtain the coefficient of and [m, p]
EditExplanation
Moving average: moving average method is a simple and flexible method for measuring trend. It consists in measurement of trend by smoothing out the fluctuations of the data by means of a moving average.
The first element of the moving average is obtained by taking the average of the initial fixed subset of the number series i.e.. the first average i…
… (240 more equations) …
Question 5
Appeared in Year: 2010
Write in Short Short Answer▾
Discuss the ratio to trend method for separating the seasonal component in a time series.
EditQuestion 6
Appeared in Year: 2011
Describe in Detail Subjective▾
Give the various steps for finding the variance of the random component using variate difference method. Is F-test used for testing the significance of homogeneity of two successive estimates of variance? If yes, ok, otherwise which ′ test can be used? Discuss.
EditExplanation
To find the variance of the random component using variate difference method:
let us consider a series represented as the sum of functional part and random component
… (435 more equations) …
Question 7
Appeared in Year: 2012
Describe in Detail Subjective▾
What are the different methods for measurement of trend? Discuss the method of fitting a straight line using least squares method.
EditExplanation
Methods of measurement of trend:
Trend can be measured by the following methods:
(i) Graphic method or trend by Inspection
(ii) Method of Semi-Averages
(iii) Method of Curve fitting by principles of Least Squares
(iv) Method of moving averages
Fitting a straight line using least squares method:
Let
… (133 more equations) …