Sampling Distribution and Point Estimation

Vocabulary flashcards related to sampling distribution, point estimation, and statistical intervals.

A single number estimate of a parameter.

Point Estimate

A range of scores estimate of a parameter.

Interval Estimate

The process of making inferences about a population based on sample information.

Estimation

A measurable quantity calculated from the sample.

Statistic

Descriptive measures of the population (e.g., population mean, standard deviation).

Parameter

A quantity calculated from sample data used to provide information about an unknown population quantity.

Estimator

The particular value of an estimator obtained from a specific sample of data and used to estimate the value of a parameter.

Estimate

The distribution of a point estimator/statistic.

Sampling Distribution

States that the sampling distribution of the sample means approaches a normal distribution as the sample size increases, especially for sample sizes over 30.

Central Limit Theorem

The difference between the expected value of a point estimator and the value of the parameter being estimated. A good estimator has low bias.

Bias of an Estimator

How close the point estimator is to the value of the parameter as the sample size increases.

Consistency

If two unbiased estimators are compared, the one with the smaller variance is relatively more efficient.

Relative Efficiency

A measure of the accuracy of a statistic, equal to the standard deviation of the sampling distribution of that statistic.

Standard Error

A range of values that probably contains the population mean.

Confidence Interval

A range of values that is likely to contain the value of a single new observation.

Prediction Interval

A range that estimates the percentage of all individuals in the population that are within some specified range of values with a given confidence level.

Tolerance Interval