Title page for ETD etd-08012012-040035
|Type of Document
||Glenn, William Alexander
||Analysis of variance of a randomized block design with missing observations
||Master of Science
|Kramer, Clyde Y.
|Johnston, G. Burke
|Pardue, Louis A.
|Date of Defense
The estimation of several missing values in a randomized
block design ls considered. The method used ls that of minimizing
the error sum of squares, proposed originally by Yates (1933).
Explicit equation for each absent value are derived for all cases
in which not more than three values are missing. A general formula
valid for any permissible number of missing observations ls given
for the case in which no two values are missing in the same block or
treatment, and also for the case in which all of the values missing
are in a single block or treatment. A procedure for the completely
general case is proposed. This, although requiring the inversion of
s symmetric matrix of order equal to the number of missing observations, may prove to be less tedious in application than the iterative
method proposed by Yates.
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