Consider a population of size N = 20 such that y = a + bi, i...
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Consider a population of size N = 20 such that y = a + bi, i = 1,..., 20, for some positive constants a and b. Such a population is said to have a linear trend. We consider systematic samples of size n = 4. (a) Show that the variance of ty under systematic sampling is equal to 8006². (b) Show that the variance of ty under simple random sampling without replacement is equal to 28006². Consider a population of size N = 20 such that y = a + bi, i = 1,..., 20, for some positive constants a and b. Such a population is said to have a linear trend. We consider systematic samples of size n = 4. (a) Show that the variance of ty under systematic sampling is equal to 8006². (b) Show that the variance of ty under simple random sampling without replacement is equal to 28006².
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a The variance of ty under systematic sampling can ... View the full answer
Related Book For
Materials Science and Engineering An Introduction
ISBN: 978-0470419977
8th edition
Authors: William D. Callister Jr., David G. Rethwisch
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