Title page for ETD etd-08012012-040035

Type of Document Master's Thesis
Author Glenn, William Alexander
URN etd-08012012-040035
Title Analysis of variance of a randomized block design with missing observations
Degree Master of Science
Department Statistics
Advisory Committee
Advisor Name Title
Kramer, Clyde Y. Committee Chair
Harshbarger, Boyd Committee Member
Johnston, G. Burke Committee Member
Pardue, Louis A. Committee Member
  • Block designs
Date of Defense 1957-09-15
Availability restricted

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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