On optimal testing for the equality of equicorrelation: An example of loss in power

An efficient serial distributed arithmetic algorithm for FPGA implementation of digital up conversion

“…Moreover, note that model (1) is a special case of [8] and [10], where in [8] and [10] the model is more general with the complex stochastic component of random cluster effects. Following [9], where the stochastic regressors are equal to unity, one can obtain model (1) under (2). Bhatti [8,9] calls the model as a symmetric multivariate normal (SMN) model and standard SMN model that possesses many properties in the area of data mining and complexities [8], but the required computations are time consuming.…”

Environmetric analysis in complex surveys

“…Examples include the analysis of missing observations in time series data (Sampson, 1976(Sampson, , 1978, generalized canonical variable analysis (SenGupta, 1983), and distributional modeling of repeated failure time measures (Crowder, 1985). SenGupta (1987,1988), Williams and Yip (1989), Bhatti and King (1990), and Bhatti (2000) have applied them in statistics literature, for example. To statisticians, the bestknown model based on these distributions is a special case of pooled time series and cross-section data.…”

“…This approach is reviewed later in this article for the convenience of exposition for the readers. In other publications, Bhatti explained the method of constructing optimal tests for the SSMN, SMN [see Bhatti (2000)], 2SLR [Bhatti (1999)], 3SLR, and the multistage models [Wu and Bhatti (1994)] are considered. In the literature, this method has been shown to work well in a wide variety of testing problems provided that the specific alternative is chosen carefully.…”

“…Davies (1969) first introduced the concept of beta-optimality, where he optimized power at a value of 0.8, which seems to give good overall power. The construction of the BO test in Bhatti and King (1990) and Bhatti (2000) optimizes power at a predetermined level of power p = 0.5 and 0.8.…”

“…Recently, there has been an increasing use of regression techniques based on survey data in environmental, social, physical, and biological sciences. Examples of these awareness may be found in Wu et al (1988), Bhatti (1993), Rao et al (1993), Ghosh and Rao (1994), Wu and Bhatti (1994), and series of articles by Bhatti (1995Bhatti ( , 1996Bhatti ( , 1997Bhatti ( , 1999Bhatti ( , 2000, and Stukel and Rao (1997), among aothers. Often the data arising from these areas are naturally in blocks.…”