Statistics Notes: Interaction 1: heterogeneity of effects

Statistics 371 , Blended : Course Notes 1

Discerning mechanistically rewired biological pathways by cumulative interaction heterogeneity statistics

Changes in response of a biological pathway could be a consequence of either pathway rewiring, changed input, or a combination of both. Most pathway analysis methods are not designed for mechanistic rewiring such as regulatory element variations. This limits our understanding of biological pathway evolution. Here we present a Q-method to discern whether changed pathway response is caused by mec...

Statistics 240 Lecture Notes

So far, we have been concerned with nonparametric tests and procedures: tests and procedures with minimal assumptions about the probability distribution that gives rise to the data. Examples of the kinds of assumptions we have made in various places are that the distribution is continuous, that the observations are iid, that subjects are randomized into treatment and control, etc. We now consid...

Course Notes - Statistics

Notes on Statistics

h. t-Test: This is one of the most powerful and widely used statistical tests. The ttest (Student's t) is used to calculate the confidence intervals of a measurement when the population standard deviation ()) is not know. Which is usually the case. The t-test is also used to compare two averages. The t-test corrects for the uncertainty of the sample standard deviation (s) caused by taking a sma...