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Penn State University

1. Altinisik, Yasin. Intrablock, Interblock and Combined Estimates in Incomplete Block Designs: A Numerical Study.

Degree: MS, Statistics, 2013, Penn State University

Intrablock analysis and interblock analysis are used to estimate true treatment means in block designs. The estimates after using these analyses are called intrablock estimates and interblock estimates respectively. These estimates are unbiased and they are independent from each other. However, a linear combination of these estimates, which are called combined estimates, can also be used to estimate true treatment means. Combined estimates are also unbiased and have better precision estimating treatment contrasts. The SAS PROC MIXED procedure uses matrix notation to obtain combined estimates. First we focus on understanding the matrix notation that SAS PROC MIXED uses in complete and incomplete block designs. We show that the LMER function in R uses the same matrix notation as SAS PROC MIXED, and obtains exactly the same results that SAS PROC MIXED gives with respect to covariance parameter estimates, treatment mean estimates and treatment mean standard error estimates. Second, we focus on a multiple imputation method to deal with missing values in incomplete block designs to make the data complete. An R package called Amelia2 is used for this purpose. Treatment mean estimates are also obtained with SAS PROC MIXED after using the Amelia2 procedure. Afterwards, combined and amelia treatment mean estimates of true treatment means are compared in some balanced incomplete block designs by using a simulation study.

Subjects/Keywords: Balanced Incomplete Block Designs; Intrablock Estimates; Interblock Estimates; Combined Estimates; Precision Increase

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Altinisik, Y. (2013). Intrablock, Interblock and Combined Estimates in Incomplete Block Designs: A Numerical Study. (Masters Thesis). Penn State University. Retrieved from https://etda.libraries.psu.edu/catalog/19164

Chicago Manual of Style (16th Edition):

Altinisik, Yasin. “Intrablock, Interblock and Combined Estimates in Incomplete Block Designs: A Numerical Study.” 2013. Masters Thesis, Penn State University. Accessed August 04, 2020. https://etda.libraries.psu.edu/catalog/19164.

MLA Handbook (7th Edition):

Altinisik, Yasin. “Intrablock, Interblock and Combined Estimates in Incomplete Block Designs: A Numerical Study.” 2013. Web. 04 Aug 2020.

Vancouver:

Altinisik Y. Intrablock, Interblock and Combined Estimates in Incomplete Block Designs: A Numerical Study. [Internet] [Masters thesis]. Penn State University; 2013. [cited 2020 Aug 04]. Available from: https://etda.libraries.psu.edu/catalog/19164.

Council of Science Editors:

Altinisik Y. Intrablock, Interblock and Combined Estimates in Incomplete Block Designs: A Numerical Study. [Masters Thesis]. Penn State University; 2013. Available from: https://etda.libraries.psu.edu/catalog/19164

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