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Statistics and Probability

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Peridocity, Change Detection And Prediction In Microarrays, Mohammad Shahidul Islam Jan 2008

Peridocity, Change Detection And Prediction In Microarrays, Mohammad Shahidul Islam

Digitized Theses

Three topics in the analysis of microarray genomic data are discussed and improved statistical methods are developed in each case. A statistical test with higher power is developed for detecting periodicity in microarray time series data. Periodicity in short series, with non-Fourier frequencies, is detected through a Pearson curve calibrated to the null distribution obtained by computer simulation. Unlike other traditional methods, this approach is applicable even in the presence of missing values or unequal time intervals. The usefulness of the new method is demonstrated on simulated series as well as actual microarray time series.

The second topic develops a …