Accession Number : AD0706373

Title :   OPTIMAL ALLOCATION OF OBSERVATIONS WHEN COMPARING SEVERAL TREATMENTS WITH A CONTROL. II. 2-SIDED COMPARISONS.

Descriptive Note : Technical rept.,

Corporate Author : CORNELL UNIV ITHACA N Y DEPT OF OPERATIONS RESEARCH

Personal Author(s) : Bechhofer,Robert E. ; Nocturne,Dominique Jean-Marie

Report Date : MAY 1970

Pagination or Media Count : 29

Abstract : Let P sub O, P sub 1, ..., P sub p be p+1 normal populations with unknown population means (u sub p) and known population variances. P sub O is referred to as the 'control' population and P sub i (1 less than or equal to i less than or equal to p) as the (i)th 'test' population. Based on N sub i independent observations X sub ij (j=1,2,..., N sub i) from P sub i (i=0,1,...,p) where N = the sum over i from 0 to P of N sub i and constants r greater than or equal to 0, d>0 are specified prior to experimentation, it is desired to make an exact confidence statement of the form (1) (mean(x sub O)-mean(x sub i)-d < u sub O - u sub i < mean(x sub O)-mean (x sub i) + rd (i=1,2,...,p)) where mean(x sub i) is the observed sample mean from P sub i.

Descriptors :   (*EXPERIMENTAL DESIGN, *STATISTICAL ANALYSIS), CONFIDENCE LIMITS, POPULATION(MATHEMATICS), MULTIVARIATE ANALYSIS

Subject Categories : Statistics and Probability
      Test Facilities, Equipment and Methods

Distribution Statement : APPROVED FOR PUBLIC RELEASE