The Mathematical Theory of SamplingFor students with some mathematical literary who wish to become familiar with formulas and computations incident to sample design and the analysis of sample data. |
Contents
INTRODUCTION | 1 |
RANDOM SAMPLING WITH EQUAL PROBABILITIES OF SELECTION | 23 |
PROBABILITY THEORY AND ITS RELATION TO SAMPLING | 58 |
Copyright | |
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Common terms and phrases
acreage allocation analysis of variance approximately Assume average number bias biased Binomial distribution cell clusters coefficient computed containing correlation corresponding cost covariance dairy farms degrees of freedom derived deviations differences distribution drawn equal equation exactly example expected mean square expected value field finite universe finite-universe correction formula fraction i-th individual infinite interview measurements methods n₂ Normal number of farms obtained optimum P₁ percent possible precision primary strata primary units probability of getting probability of selection procedure proportional random numbers ratio estimate relationship represents sample data sample design sampling error sampling units segments simple random sample Source of variability specified square between primary square between strata standard error statistician stratified sample stratum averages subsampling substrata Substratum sum of squares Suppose systematic samples tion total mean square total sample unbiased estimate variance components weights zero σ²