Question

Explain why would a statistician consider an inference incomplete without an accompanying measure of its reliability?

Short answer

The statistician would consider an inference incomplete without the measure of its reliability because the measure of reliability indicates the level of consistency in the inferences, hence fostering reduction in estimation errors.

Step-by-step solution

Measure of the reliability

The measure of reliability denotes the degree of uncertainty of the inference. In other words, it suggests how good the inference about the sample is in providing information about the entire population.

Significance of Inferences with a measure of reliability

The statisticians face resources such as time and money constraints. Therefore, they do not work on the entire population but take the sample. Hence, it is important for the statistician to compute the reliability of every inference that they make. The measure of reliability is crucial because it facilitates the reduction of estimation errors. This provides statisticians confidence that the established results are accurate by providing a bound on the estimation errors.