| Selection of an appropriate sample size is an important prerequisite to any statistical investigation.; In this thesis the problem of identifying the sample size for testing the seed health by noting the presence or the absence of pathogen(s) is considered. The cross-classified data of variety by seed by pathogen is collected for the purpose, which consists of N observations for each variety of seed. Here N is regarded as population size and the outcome is a Bernoulli random variable.; A simulation method for identifying the sample size is developed and is compared with five existing methods.; The simulation method is based on chi-square (chi2) measure of goodness of fit of empirical distribution with that of a theoretical distribution. Here k repeated samples for each of the sample sizes n=10(10)50(25)100(100)500, using a simple random sampling without replacement (SRSWOR), are considered. For each of the k samples of size n, the chi-square (chi2) measure of goodness of fit is computed. (Abstract shortened by UMI.)... |
