Match List-I with List-II
List-1 List-II Methods to Deseasonalise the Time Series Underlying Meaning (A). Method of simple average (I). It assumes that seasonal variation for a given month is constant fraction of trend (B). Ratio to Trend Method (II). It is the easiest method of obtaining a seasonal index (C). Ratio to moving average method (III). It is the most difficult method of measuring seasonal variations (D). Link relative method (IV). It is also known as the percentage of moving average method
Choose the correct answer from the options given below:
This question requires matching the methods used to deseasonalise a time series (List-I) with their corresponding underlying meanings or descriptions (List-II).
Deseasonalisation is the process of removing the seasonal component from a time series to better observe the trend and cyclical components. Here's a breakdown of each method and its meaning:
Let's match each method from List-I to its correct description in List-II:
The correct matching is:
| Method (List-I) | Meaning (List-II) |
| (A) Method of simple average | (II) Easiest method for seasonal index |
| (B) Ratio to Trend Method | (I) Seasonal variation as fraction of trend |
| (C) Ratio to moving average method | (IV) Percentage of moving average method |
| (D) Link relative method | (III) Most difficult method for seasonal variations |
Therefore, the correct option is (A) - (II), (B) - (I), (C) - (IV), (D) - (III).
Let $X_1, X_2, X_3$ be a random sample of size 3 from an absolutely continuous distribution that is symmetric about 0. For $i=1,2,3$, let $R_i$ denote the rank of $|X_i|$ among $|X_1|, |X_2|$ and $|X_3|$.
If $T^+ = \sum_{i=1, X_i>0}^3 R_i$
is the Willcoxon signed-rank statistic, then which of the following statements are true?,
Which of the following statements are correct?
(A).When a cyclical pattern in data has a period of less than 1 year, the pattern in data is called seasonal variation
(B). When a cyclical pattern has a period more than 1 year, we refer to it as cyclical variation
(C). Seasonality is considered equivalent to forecasting
(D). Cyclical behaviour in business is also termed as business cycle
Choose the correct answer from the options given below: