1 2 Confidence intervals based on normal data Class 22 , 18 . 05 Jeremy Orloff and Jonathan Bloom

1 Confidence Intervals : Three Views Class 23 , 18 . 05 Jeremy Orloff and Jonathan Bloom

Confidence Intervals for the Mean of Non-normal Data Class 23, 18.05 Jeremy Orloff and Jonathan Bloom 1 Learning Goals

One common use of confidence intervals is for estimating the proportion θ in a Bernoulli(θ) distribution. For example, suppose we want to use a political poll to estimate the proportion of the population that supports candidate A, or equivalent the probability θ that a random person supports candidate A. In this case we have a simple rule-of-thumb that allows us to quickly compute a confidence ...

Introduction to Statistics Maximum Likelihood Estimates Class 10 , 18 . 05 Jeremy Orloff and Jonathan Bloom

Statistics deals with data. Generally speaking, the goal of statistics is to make inferences based on data. We can divide this the process into three phases: collecting data, describing data and analyzing data. This fits into the paradigm of the scientific method. We make hypotheses about what’s true, collect data in experiments, describe the results, and then infer from the results the strengt...

Confidence Intervals : Three Views , and Non - normal Data

Null Hypothesis Significance Testing II Class 18 , 18 . 05 Jeremy Orloff and Jonathan Bloom

We continue our study of significance tests. In these notes we will introduce two new tests: one-sample t-tests and two-sample t-tests. You should pay careful attention to the fact that every test makes some assumptions about the data – often that is drawn from a normal distribution. You should also notice that all the tests follow the same pattern. It is just the computation of the test statis...