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1 
Split plot designsEstolano, Marcial Perez January 2010 (has links)
Typescript (photocopy). / Digitized by Kansas Correctional Industries

2 
DESIGN CONSTRUCTIBILITY: STRONGLY REGULAR GRAPHS AND BLOCK DESIGNSThompson, Donald Mark January 1979 (has links)
No description available.

3 
Computing techniques for the enumeration of cyclic Steiner systems /Frenz, Timothy Carl. January 1989 (has links)
Thesis (M.S)Rochester Institute of Technology, 1989. / Includes bibliographical references (leaves 3538).

4 
Interblock analysis of incomplete block designs /Beazley, Charles Coffin, January 1955 (has links)
Thesis (M.S.)Virginia Polytechnic Institute, 1955. / Vita. Abstract. Includes bibliographical references (leaf 38). Also available via the Internet.

5 
Optimal Designs with Limited ResourcesJin, Bo 01 December 2004 (has links)
In this dissertation we present new results regarding optimality of block designs with limited resources. The dissertation is organized as follows. The first chapter outlines the theory of optimal block design. The second chapter shows new work in optimal minimally connected block designs with spatial correlation structure. The third chapter details the discovery of the optimal incomplete designs with two blocks. The fourth chapter does the same for the optimal binary incomplete designs with three blocks. The fifth chapter summarizes the techniques used and new results found and lists possible future research topics. / Ph. D.

6 
Constructing uniformly better estimators in balanced incomplete block designsHora, Tejinder Singh January 1974 (has links)
Note:

7 
On the NonExistence of Certain Cyclic Block DesignsHuang, Charlotte H. T. 02 1900 (has links)
<p> This thesis is concerned with the existence of cyclic block designs with parameters (b, v, r, k, λ) where λ = 1 , r = 2k and 3 ≤ k ≤ 6.</p> <p> It gives the proofs of the nonexistence of cyclic block designs with k = 6, λ = 1 and r = 9, 10 and 12.</p> / Thesis / Master of Science (MSc)

8 
Combined intra and interblock analysis for factorials in incomplete block designsWalpole, Ronald E. January 1958 (has links)
The work of Kramer and Bradley on the use of factorials in incomplete block designs bas been extended to permit both the intrablock and combined intra and interblock analyses of factorials in balanced and partially balanced incomplete block designs. In particular, we have obtained a combined intra and interblock analysis for factorials in balanced incomplete block designs, group divisible designs, and Latin Square types of partially balanced, incomplete block designs. For the class of Latin Square subtype L₃ designs both the intrablock and combined intra and interblock analyses have been developed.
In general, factorial treatment combinations were assigned to the association schemes by permitting the rows of the association schemes to represent the levels of one factor and the columns to represent the levels of a second factor. The extension to multifactor factorials was then carried out by subdividing the levels of the basic twofactor factorial, the levels in the subdivisions representing the levels of the multifactor factorials.
Estimators for the factorial effects have been obtained along with their variances and covariances. Sums of squares in terms of the factorial estimators have been derived and can be used to carry out tests of significance. These sums of squares were shown, for the combined intra and interblock analyses, to be independently distributed as χ²variates with the appropriate numbers of degrees of freedom.
Suitable sums of squares for tests of significance are not possible in general for Latin Square subtype L₃ designs. In situations such as these, we can only consider contrasts among the estimators and use their variances to perform tests of significance. However, for the special cases of factorials in the 4 x 4 Latin Square subtype L₃ design, a complete analysis yielding the adjusted sums of squares for the factorial effects is possible if the factorial treatments are applied to the association scheme in a different manner.
Singledegreeoffreedom contrasts are obtained in much the usual way as for factorials in complete block designs. The method of incorporating a fractional replicate of a factorial into incomplete block designs is also considered.
Numerical examples have been worked in detail for a group divisible design and a Latin Square subtype L₂ design. The procedure for analyzing a Latin Square subtype L₃ design is also discussed. / Ph. D.

9 
Recovery of interblock informationKanjo, Anis Ismail January 1965 (has links)
We know that the best linear combination of the intra and interblock estimates is
IntraestimatexIntervariance+InterestimatexIntravariance / Intravariance + Intervariance ;
however, this combined estimate is merely theoretical, since we do not know in practice the exact inter and intravariances. A reasonable solution is to use a random weight which can be computed from the data of our experiment, but so far there has been no practical solution without severe restrictions on the size of the experiment, and no solution at all for a clear answer to the question of how much we recovered. In fact, the experimenter applying the methodology available to him now, cannot be sure that he is really improving the accuracy of his estimation.
This research has achieved the following:
1. A new method of combining two independent estimates has been developed. This method has its use in incomplete block designs, in similar experiments, and in randomized block designs with heterogeneous variances. The improvement introduced by this method is very satisfactory, compared with the utmost possible theoretical improvement.
2. A procedure for recovering the interblock information in B.I.B. designs was given, which is applicable in experiments as small as t = 4.
3. It has been proven that the practical utilization of interblock information is possible in any P.B.I.B. with seven treatments or more.
4. A general procedure for recovering the interblock information in P.B.I.B.'s with two associate classes was given.
5. An interblock analysis of singular and semiregular group divisible designs was discussed, which makes a partial utilization of the interinformation possible.
In general, this work has two merits:
1. It makes possible the utilization of the interblock information in small and moderate size experiments.
2. As a ratio of the utmost possible theoretical recovery (by combining linearly), either exactly or a lower bound of the ratio of recovery is always computable.
Tables which enable the experimenter to use the procedures described in this dissertation were given. The ratios of recovery listed in these tables show that the new method gives good results where the old method is not applicable, and when the old method starts, hopefully, to be valid, the ratio of recovery achieved by the new method starts to approach the theoretical value that can be achieved, assuming the intra and intervariance are known. / Ph. D.

10 
Steiner systems of the Mathieu Group M₁₂Dillard, Kristin Marie 01 January 2000 (has links)
A Steiner system T with parameters (5,6,12) is a collection of 6element sets, called hexads, of a 12element set [omega], such that any 5 of the 12 elements belong to exactly one hexad. In this project we construct a graph whose vertices are the orbits of S₁₂ on T x T, where T is the set of all Steiner systems S(5,6,12). Two vertices are joined if an orbit is taken into another under the action of a transposition. The number of hexads common to two Steiner systems are also given. We also prove that any two Steiner systems with parameters (5,6,12) can intersect only in 0, 12, 24, 36, or 60 hexads.

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