Difference between a Parameter and a Statistics
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Difference between parameter and statistic
A parameter is a number that describes the population, whereas a statistic is a number that represents a sample. The population can be a group of people, objects, events, organizations, species, etc., and the sample is a smaller group taken from the population. Using inferential statistics, sample statistics can be use to make guesses about population parameters.
Notation for Population: Greek letter or capital letter
Notation for Sample: Latin or lowercase letter
Both statistics and parameters represent numbers used to measure a sample or population.
- Proportion is the most popularly use statistic or parameter for categorical variables.
- For numerical variables, the mean or standard deviation are commonly report statistics or parameters.
Usually, the number doesn’t explain if it is a parameter or a statistic. In such cases, you can distinguish by asking:
- Is the figure representative of the entire population that can be contact for data collection?
- Is it feasible to get information on this trait from every person in the population in a reasonable amount of time?
If you answered yes, the number is a parameter. It is likely to be a statistic if you replied no to both questions.
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