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Consider (Y, X) values in a population as (8, 2), (9, 3), (10, 3), (12, 5), (14, 6), (16, 6) and (17, 8). Draw all possible samples from this population and compute Ratio estimator for each sample. Show that the ratio estimator is a biased estimator of population mean but has smaller mean square error as compared with the variance of mean per unit estimator.

Consider (Y, X) values in a population as (8, 2), (9, 3), (10, 3), (12, 5), (14, 6), (16, 6) and (17, 8). Draw all possible samples from this population and compute Ratio estimator for each sample. Show that the ratio estimator is a biased estimator of population mean but has smaller mean square error as compared with the variance of mean per unit estimator.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Consider (Y, X) values in a population as (8, 2), (9, 3), (10, 3), (12, 5), (14, 6), (16, 6) and (17, 8). Draw all possible samples from this population and compute Ratio estimator for each sample. Show that the ratio estimator is a biased estimator of population mean but has smaller mean square error as compared with the variance of mean per unit estimator.
Transcribed Image Text:Consider (Y, X) values in a population as (8, 2), (9, 3), (10, 3), (12, 5), (14, 6), (16, 6) and (17, 8). Draw all possible samples from this population and compute Ratio estimator for each sample. Show that the ratio estimator is a biased estimator of population mean but has smaller mean square error as compared with the variance of mean per unit estimator.
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