Systematic Sampling Process Explained
Systematic sampling is a statistical method used to select a sample from a larger population. It involves choosing elements from a list or sequence at regular intervals.
Steps in Systematic Sampling
- Random Start: The process begins by randomly selecting the first item or element from the population list (sampling frame).
- Determine Interval: Calculate the sampling interval, denoted by $k$. This is typically calculated as $k = N/n$, where $N$ is the total population size and $n$ is the desired sample size.
- Systematic Selection: After selecting the first item randomly, every $k^{th}$ subsequent item is selected from the list until the required sample size ($n$) is achieved. For example, if the first item selected is the 3rd element and the interval $k$ is 5, the subsequent items selected would be the 8th, 13th, 18th, and so on.
This method ensures that the selection is systematic and unbiased after the initial random choice, making it different from other methods like convenience or purposive sampling.
Therefore, systematic sampling implies that after the first item is selected randomly, then every $k^{th}$ item is selected.
Important Questions from Sampling
The process of converting the analog sample into discrete form is called ______.
Respondents of a recent sample survey provided names of friends they thought would be likely users of a new product. These friends were contacted, completed a survey, and asked to supply names of other likely users. Which method of sampling has been used in this survey ?
Which one among the following relates to the probability-based sampling technique?
In which process is the flat-top pulse amplitude modulated signal generated?
Consider a population of 3 units having values 2, 4 and 6. A simple random sample (without replacement) of 2 units is to be drawn from the population. Let M denote the sample mean of this sample. Then which of the following statements are true?
