By Walter A. Hendricks
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Analysis of Variance for Multinomial Variation with Clusters of Equal Size Source of Variability Degrees of Freedom Sum of Squares Between clusters (n - l)(r - 1) M^S^-p,)** ... + (Prl-Pr)2] Within clusters n(k - l)(r - 1) ^s[Pll(i-Pll) +... +Prl(i-prl3 Total (nk - l)(r - 1) nk(rr- Pi) + ... + Prd - Pr)] Table 8. + (prl -p)2]} Within clusters [S(k±)- n)](r - 1) r sjkjfpud- Pll)+ ... + prl(l-Prlj| Total [s(kl)- l)](r - 1) r r ^(k^fpid- pi)+ ... +pr(l - pj] The Problem of Nonresponse Incomplete enumeration of the sample is a troublesome feature of many sur- veys.
1946. 6. Cornfield, Jerome. On samples from finite populations. Jour. Am. Stat. Assoc. 39: 236-239. 1944. 7. Cowden, D. I. An application of sequential sampling to testing students. Jour. Am. Stat. Assoc. 41: 547-556. 1946. 8. Craig, A. T. On the mathematics of the representative method of sampling. Ann. Math. Stat. 10: 26-34. 1939- 9. Deming, W. C. The Statistical Adjustment of Data. J. Wiley & Sons. 1943. 10. Deming, W. , and R. T. Brige. On the statistical theory of errors. Rev. Mod. Phys. 6: 119-161.
Assoc. 40: 330-341. 1945. 15. Hansen, M. H. and V. N. Hurwitz. On the theory of sampling from finite popu- lations. Ann. Math. Stat. 14: 333-362. 1943- 16. Hansen, M. H. and W. N. Hurwitz. The problem of nonresponse in sample sur- veys. Jour. Am. Stat. Assoc. 41: 517-529. 1946. 17. Hendricks, W. A. The theory of sampling. U. S. Dept. of Agr. and N. C. State College. Mimeographed. 1942. 18. Hendricks, W. A. The relative efficiencies of groups of farms as sampling units. Jour. Am. Stat. Assoc. 39: 367-376.
