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Virginia Tech

Analysis of variance of a randomized block design with missing observations

Abstract

dc:description.abstract

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.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Statistics
Department dc:contributor.department
Statistics
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1957

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Glenn, William Alexander
Chair dc:contributor.committeechair
  • Kramer, Clyde Y.
Committee members dc:contributor.committeemember
  • Pardue, Louis A.
  • Harshbarger, Boyd
  • Johnston, G. Burke

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en

Identifiers

dc:identifier.*
Dc Identifier Other
etd-08012012-040035
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/44036

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
related terms
citation

Glenn, William Alexander. Analysis of variance of a randomized block design with missing observations. masters thesis, Virginia Tech, 1957. http://hdl.handle.net/10919/44036