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accuracy accurate analysis of variance approximately areas Arran Banner average bias calculated census cent classification column computation count crop degrees of freedom determined deviations different strata districts domains equal equation estimate of error example eye estimates first-stage units formula frame give given Hertfordshire households individual investigators machine material mean square number of farms number of units numbers of fields observations obtained occasions parishes points probability proportional procedure punched cards quantitative raising factors random sample ratio method regions regression coefficient relative efficiency relative precision sample with uniform sampling error sampling methods sampling units second-stage units Section selected size-groups stage standard deviation standard error statistical stratified sample stratum sub-sample sum of squares supplementary information systematic sample tabulation taken total number two-stage sampling types of sampling unbiased estimate uniform sampling fraction values variable sampling fraction variates weighted mean wheat acreage within-strata yield per acre