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In the field of statistics, parameters and statistics are closely related concepts that play a significant role in understanding and analyzing data. Parameters refer to the characteristics or properties of a population, while statistics are measurements or calculations obtained from a sample of the population. Parameters are usually unknown and are estimated through the use of statistics. In other words, statistics are used to infer information about parameters. Additionally, the accuracy and reliability of statistics are dependent on the size and representativeness of the sample, while parameters remain constant for the entire population. Therefore, the relationship between parameters and statistics is essential in drawing conclusions and making predictions about a population based on a sample.
Statistics – Parameters and Statistics
The terms ‘parameter’ and (sample) ‘statistic’ refer to key concepts that are closely related in statistics.
They are also directly connected to the concepts of populations and samples.
Parameters and Statistics
Parameter: A number that describes something about the whole population.
Sample statistic: A number that describes something about the sample.
The parameters are the key things we want to learn about. The parameters are usually unknown.
Sample statistics gives us estimates for parameters.
There will always be some uncertainty about how accurate estimates are. More certainty gives us more useful knowledge.
For every parameter we want to learn about we can get a sample and calculate a sample statistic, which gives us an estimate of the parameter.
Some Important Examples
| Parameter | Sample statistic |
|---|---|
| Mean | Sample mean |
| Median | Sample median |
| Mode | Sample mode |
| Variance | Sample variance |
| Standard deviation | Sample standard deviation |
Mean, median and mode are different types of averages (typical values in a population).
For example:
- The typical age of people in a country
- The typical profits of a company
- The typical range of an electric car
Variance and standard deviation are two types of values describing how spread out the values are.
A single class of students in a school would usually be about the same age. The age of the students will have low variance and standard deviation.
A whole country will have people of all kinds of different ages. The variance and standard deviation of age in the whole country would then be bigger than in a single school grade.
Cite this article
stats writer (2024). What is the relationship between parameters and statistics in the field of statistics?. PSYCHOLOGICAL SCALES. Retrieved from https://scales.arabpsychology.com/stats/what-is-the-relationship-between-parameters-and-statistics-in-the-field-of-statistics/
stats writer. "What is the relationship between parameters and statistics in the field of statistics?." PSYCHOLOGICAL SCALES, 29 Jun. 2024, https://scales.arabpsychology.com/stats/what-is-the-relationship-between-parameters-and-statistics-in-the-field-of-statistics/.
stats writer. "What is the relationship between parameters and statistics in the field of statistics?." PSYCHOLOGICAL SCALES, 2024. https://scales.arabpsychology.com/stats/what-is-the-relationship-between-parameters-and-statistics-in-the-field-of-statistics/.
stats writer (2024) 'What is the relationship between parameters and statistics in the field of statistics?', PSYCHOLOGICAL SCALES. Available at: https://scales.arabpsychology.com/stats/what-is-the-relationship-between-parameters-and-statistics-in-the-field-of-statistics/.
[1] stats writer, "What is the relationship between parameters and statistics in the field of statistics?," PSYCHOLOGICAL SCALES, vol. X, no. Y, ص Z-Z, June, 2024.
stats writer. What is the relationship between parameters and statistics in the field of statistics?. PSYCHOLOGICAL SCALES. 2024;vol(issue):pages.