Validity of f-test in a randomized block design with missing data

作者: S. P. Dash

DOI: 10.1002/BIMJ.4710220504

关键词:

摘要: In this paper the first two moments of test criterion (Treat. S.S.)/(Treat.S.S. + Error S.S.) have been derived assuming that one observation corresponding to plot block which is under treatment ‘m’ (say), missing in a randomized design with ‘V’ treatments and ‘r’ blocks. To keep analysis simple case has considered. It concluded general not unbiased YATES (1951) sense usual F-test satisfactory iff /(vr - r 1)=(S S1)/(v 1) (r-1), errors are homogeneous (vr large. The three unifornity trial data indicates condition most important for be satisfactory. However, if at random from some block, unbiased. If GT96, also provides good approximation randomization case.

参考文章(9)
M. D. McCarthy, On the Application of the Z-Test to Randomized Blocks Annals of Mathematical Statistics. ,vol. 10, pp. 337- 359 ,(1939) , 10.1214/AOMS/1177732146
B. L. WELCH, ON THE z-TEST IN RANDOMIZED BLOCKS AND LATIN SQUARES Biometrika. ,vol. 29, pp. 21- 52 ,(1937) , 10.1093/BIOMET/29.1-2.21
W. G. Cochran, A catalogue of uniformity trial data Supplement to the Journal of the Royal Statistical Society. ,vol. 4, pp. 233- ,(1937) , 10.2307/2983648
Jerzy Neyman, Statistical Problems in Agricultural Experimentation Supplement to the Journal of the Royal Statistical Society. ,vol. 2, pp. 107- 154 ,(1935) , 10.2307/2983637