When we talk about drawing a random sample, we use phonetic cues to make the correct spelling of this word. The correct spelling of "random sample" is /ˈrændəm ˈsæmpl/. The phonetic transcription tells us that the first syllable in "random" is pronounced with a short "a" sound followed by a soft "d" sound, whereas the second syllable consists of a long "a" sound. The word "sample" begins with a short "a" sound followed by a plosive "p" sound and ends with an "l" sound.
A random sample refers to a subset of a larger population that is selected in a way that each member has an equal chance of being chosen. It is a fundamental technique used in statistics and research studies to gather data representative of the entire population.
To conduct a random sample, various methods can be employed. One common approach is simple random sampling, where each member of the population is selected strictly by chance. This can be achieved using random number generators or by assigning each member a unique identifier and then using a random selection method, such as drawing names from a hat.
The objective of using random sampling is to obtain a sample that is unbiased and representative of the entire population. This ensures that the conclusions drawn from the collected data can be generalized to the larger population accurately. By selecting individuals randomly, we reduce the potential for systematic biases or favoritism in the sample.
The size of the random sample is also crucial in obtaining reliable and valid results. A larger sample usually provides more precise estimates and reduces the margin of error. However, even smaller random samples can yield valuable insights if they are well-designed and truly random.
In conclusion, a random sample is a subset of a population selected through an objective and unbiased process, in which each member has an equal chance of being chosen. It facilitates generalization of findings to the entire population and is a key tool in statistical analysis and research studies.
The word "random" comes from the Middle English word "randoun", which means "force, violence, or impetuosity" and is derived from the Old French word "random", meaning "force or motion". The term "sample" is derived from the Middle English word "sample" or "sampler", which means "something taken as an example or pattern" and is derived from the Old French word "essample", meaning "example" or "model". Therefore, the phrase "random sample" essentially combines the notion of a forceful or impetuous selection with the idea of taking an example or pattern from a larger population.