The population information is called parameter while the corresponding...
Parameter vs Statistics:
Parameter and statistics are terms used in statistics to differentiate between population information and sample information.
Definition:
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Parameter: Parameter refers to a characteristic of a population. It is a fixed value and is usually unknown and cannot be measured directly.
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Statistics: Statistics, on the other hand, refers to a characteristic of a sample. It is a variable value that can be calculated from the sample data.
Example:
- For example, if we want to know the average income of all people in a country, the average income would be a parameter.
- If we take a sample of 100 people and calculate the average income of this sample, that average income would be a statistic.
Use in Inference:
- Parameters are important for making inferences about a population, as they provide information about the population as a whole.
- Statistics, on the other hand, are used to estimate parameters and make inferences about the population based on sample data.
Sampling Design:
- The process of selecting a sample from a population is known as sampling design.
- Sampling design is crucial in statistics as it determines how accurately the sample represents the population.
In conclusion, the population information is called a parameter, while the corresponding sample information is known as statistics. Understanding the difference between parameters and statistics is essential in statistical analysis and making inferences about populations based on sample data.