## A survey of statistical design and linear modelsDesigns and estimators for variance components; Combined intra-and inter-block estimation of treatment effects in incomplete block designs; Updating methods for linear models for the addition or deletion of observations; Approaches in sequential design of experiments; Two recent areas of sample survey research; Fitting and looking at linear and log linear fits; Tests of model specification based on residuals; Minimal unbiased designs for linear parametric functions; Optimal experimental designs for discriminating two rival regression models; Multivariate statistical inference under marginal structure; The availability of tables useful in analyzing linear models; Data monitoring criteria for linear models; Computing optimum designs for covariance models;Repeated measurement designs I; Design of genetical experiments; Recent developments in randomized response designs; Robustness and designs. |

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### Contents

Designs and estimators for variance components | 1 |

Combined intra and interblock estimation of treatment effects | 31 |

Updating methods for linear models for the addition or deletion of observa | 53 |

Copyright | |

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### Common terms and phrases

analysis of variance applied approximation assume asymptotic asymptotically optimal balanced Bayes Bayesian Biometrics Biometrika block design calorie chi-square distribution coefficient columns consider convergence corresponding covariance matrix D-optimum defined denote Design and Linear design of experiments diallel distribution dosage effects efficiency elements error example experimental design experimental units f-distribution factors finite Fisher genetic given Hence hypothesis independent inference intake integer J. N. Srivastava Kempthorne known Latin square least squares Lemma linear function linear model Math mating design mean square measure method minimal multivariate normal distribution null hypothesis observations obtained orthogonal paper parameters population probability problem procedure protein quadratic random variables randomized response ratio regression replications rows sample Section sequence sequential Statistical Design structure Suppose Survey of Statistical Table Theorem theory tion treatment trials unbiased estimator unknown values variance components vector zero