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| 001 |
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| 005 |
20220104090749.0 |
| 008 |
880713s1987 xx a bm 000 0 eng d |
| 035 |
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|9 AAB3396AM
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| 035 |
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|a (OCoLC)18206824
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| 035 |
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|a (OCoLC)ocm18206824
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| 040 |
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|a TXA
|b eng
|c TXA
|d OCLCQ
|d OCLCF
|d OCLCO
|d OCLCQ
|d UMI
|d TXA
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| 049 |
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|a TXAM
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| 099 |
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|a 1987
|a Dissertation
|a B836
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| 100 |
1 |
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|a Bremer, Ronald Henry.
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| 245 |
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4 |
|a The estimation of variance components in unbalanced models.
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| 264 |
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1 |
|c 1987.
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| 300 |
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|a xii, 154 leaves :
|b illustrations ;
|c 29 cm
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| 336 |
|
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|a text
|b txt
|2 rdacontent
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| 337 |
|
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|a unmediated
|b n
|2 rdamedia
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| 338 |
|
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|a volume
|b nc
|2 rdacarrier
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| 500 |
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|a Typescript (photocopy).
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| 500 |
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|a Vita.
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| 502 |
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|b Ph. D. in Statistics
|c Texas A & M University
|d 1987
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| 504 |
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|a Includes bibliographical references (leaves 151-153).
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| 520 |
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|a The estimation of variance components in random and mixed factorial analysis of variance models has been the topic of much research. When all the cells of the model have the same amount of data, uniformly, minimum variance, unbiased estimates are known. In this situation closed formed expressions are available for the estimates of the variance components. When different amounts of data are available in the cells no estimation procedure is agreed upon and uniformly, minimum variance, unbiased estimates are not known. In addition, none of the current estimation procedures have a known closed form expression for the estimates. The procedures are either iterative or a solution to a system of linear equations. This manuscript considers an estimation technique that averages the estimates obtained from subsets of the data that are balanced and contain m pieces of data per cell. Here m is less than or equal to the minimum cell size and greater than 1. A closed form expression will be derived for the estimates, small sample variances determined, similarities to the form of the estimates in the balanced case examined, and an examination of the efficiencies of the estimates will be made. The averaging idea will also be considered for the estimation of the fixed effects.
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| 650 |
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0 |
|a Analysis of variance
|x Mathematical models.
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| 650 |
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0 |
|a Linear models (Statistics)
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| 650 |
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4 |
|a Major statistics.
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| 655 |
|
7 |
|a Academic theses
|2 lcgft
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| 700 |
1 |
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|a Hocking, R. R.,
|e degree supervisor.
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| 700 |
1 |
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|a Longnecker, Michael T.,
|e degree committee member.
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| 700 |
1 |
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|a Newton, H. Joseph,
|e degree committee member.
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| 700 |
1 |
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|a Walton, Jay R.,
|e degree committee member.
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| 710 |
2 |
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|a Texas A & M University,
|e degree granting institution.
|
| 856 |
4 |
1 |
|u http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=754022221&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD
|z Link to ProQuest copy
|t 0
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| 856 |
4 |
1 |
|u https://hdl.handle.net/1969.1/DISSERTATIONS-26893
|z Link to OAKTrust copy
|t 0
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| 994 |
|
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|a C0
|b TXA
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| 999 |
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|t 0
|
| 952 |
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|p noncirc
|a Texas A&M University
|b J.J. Pickle Campus
|c High Density Repository
|s HDR
|d Remote Storage
|t 0
|e 1987 Dissertation B836
|h Other scheme
|i unmediated -- volume
|m A14839621725
|
| 952 |
f |
f |
|a Texas A&M University
|b College Station
|c Electronic Resources
|s www_evans
|d Available Online
|t 0
|e 1987 Dissertation B836
|h Other scheme
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| 998 |
f |
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|a 1987 Dissertation B836
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|l Remote Storage
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| 998 |
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|a 1987 Dissertation B836
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