What Is the Statistical Reason That Small Samples Result in a Harder

question 10

Essay

What is the statistical reason that small samples result in a harder time detecting real relationships or differences in the population than large samples? (Assume data quality is not an issue.)

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Definitions:

Point Estimates

Statistical measures that provide the best single estimation of an unknown population parameter.

Unbiased Estimator

A statistic used to estimate a parameter that is expected to equal the true parameter of the population.

Confidence Interval

A range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter with a certain level of confidence.

Population Parameter

A numerical characteristic or measure that describes an aspect of a population.