Least squares may be viewed as a best-fit procedure or as a statistical estimation procedure. There is much overlap between the two perspectives but the emphasis can be different: approximation in the best-fit context, and inference in the statistical estimation context. In this nutshell we summarize the intepretation of least-squares estimators from a statistical perspective. Note that we do n...

Excel 2007, like its predecessors, fails a standard set of intermediate-level accuracy tests in three areas: statistical distributions, random number generation, and estimation. Additional errors in specific Excel procedures are discussed.Microsoft’s continuing inability to correctly fix errors is discussed. No statistical procedure in Excel should be used until Microsoft documents that the pro...

Remote sensing, medical imaging, and time-lapse seismic monitoring have common challenges in change detection. In this paper we introduce a statistical procedure developed in medical imaging to determine if anomalies in time-lapse seismic data are statistically significant. Using seismic data redundancy, we construct maps of statistical variation and apply an adaptive thresholding to them. The ...

In a stochastic simulation context, iterative methods of optimization, which perform at each step of their optimization procedure a comparison between two di€erent values of the objective function, need the use of statistical tests in order to properly evaluate and compare the simulation results. However, when the objective function to be optimized is a multicriteria function involving several ...

Multivariate statistical process control charts are often used for process monitoring to detect out-of-control anomalies. However, multivariate control charts based on conventional statistical distance measures, such as the one used in the Hotelling’s T 2 control chart, cannot scale up to large amounts of complex process data, e.g. data with a large number of variables and a high rate of data s...

Since the adoption of the ICH Q8 document concerning the development of pharmaceutical processes following a quality by design (QbD) approach, there have been many discussions on the opportunity for analytical procedure developments to follow a similar approach. While development and optimization of analytical procedure following QbD principles have been largely discussed and described, the pla...