We present a simple, general technique for reducing the sample complexity of matrix and tensor decomposition algorithms applied to distributions. We use the technique to give a polynomialtime algorithm for standard ICA with sample complexity nearly linear in the dimension, thereby improving substantially on previous bounds. The analysis is based on properties of random polynomials, namely the s...

The behaviour of group sequential tests in the two-sample problem is investigated if one replaces the classical non-robust estimators in the t-test statistic by modern robust estimators of location and scale. Hampel's 3-part redescending M-estimator 25A used in the Princeton study and the robust scale estimators length of the shortest half proposed by Rousseeuw & Leroy and Q proposed by Roussee...

Ask experts what would be an important reduction in amount consumed. Need some idea of the SD of a within-child difference in consumption from a four hour period in one day to a four hour period in another day. Could do a pilot study with say 10 children measured [without any intervention] on two different days and get the SD of the 10 differences. Then use sample size formula for 1 sample t-te...

To explore the effects of formative assessment on student engagement in classroom, 60 upper-intermediate level EFL students, were chosen out of a convenience sample of 120, using the Oxford Placement Test and were randomly assigned to experimental and control groups. After the intervention, the students were asked to complete the Student Course Engagement Questionnaire. Independent sample t-tes...

the research aims to study the related context factors with structure of power in family.  the method by which this research has been done is survey and the data has been collected through the inquiry from a sample size of 600 women in shiraz through quota _ classification.the instrument of data collection sampling is questioner. our research is based on resource theory. structure of power has ...

Many Six Sigma practitioners use “Student’s” independent two-sample t-test when investigating differences in means. This type of test is based upon drawing random samples from two independent normal (Gaussian) distributions. Often, however, the assumption of normality and/or random sampling is violated. This article discusses when and why the two-sample t-test may be considered robust to these ...